Psych 251 PS5: Visualization
Greses PĂ©rez
2018
Intro
library(tidyverse)## ── Attaching packages ──────────────────────────────────────── tidyverse 1.2.1 ──## ✔ ggplot2 3.1.0 ✔ purrr 0.2.5
## âś” tibble 1.4.2 âś” dplyr 0.7.7
## âś” tidyr 0.8.2 âś” stringr 1.3.1
## ✔ readr 1.1.1 ✔ forcats 0.3.0## ── Conflicts ─────────────────────────────────────────── tidyverse_conflicts() ──
## âś– dplyr::filter() masks stats::filter()
## âś– dplyr::lag() masks stats::lag()library(ggthemes)
theme_set(theme_few())
sem <- function(x) {sd(x, na.rm=TRUE) / sqrt(sum(!is.na((x))))}
ci <- function(x) {sem(x) * 1.96} # reasonable approximation This is problem set #4, in which we hope you will practice the visualization package ggplot2, as well as hone your knowledge of the packages tidyr and dplyr. You’ll look at two different datasets here.
First, data on children’s looking at social targets from Frank, Vul, Saxe (2011, Infancy).
Second, data from Sklar et al. (2012) on the unconscious processing of arithmetic stimuli.
In both of these cases, the goal is to poke around the data and make some plots to reveal the structure of the dataset.
Part 1
This part is a warmup, it should be relatively straightforward ggplot2 practice.
Load data from Frank, Vul, Saxe (2011, Infancy), a study in which we measured infants’ looking to hands in moving scenes. There were infants from 3 months all the way to about two years, and there were two movie conditions (Faces_Medium, in which kids played on a white background, and Faces_Plus, in which the backgrounds were more complex and the people in the videos were both kids and adults). An eye-tracker measured children’s attention to faces. This version of the dataset only gives two conditions and only shows the amount of looking at hands (other variables were measured as well).
#select fvs and press command + enter
fvs <- read_csv("data/FVS2011-hands.csv")## Parsed with column specification:
## cols(
## subid = col_integer(),
## age = col_double(),
## condition = col_character(),
## hand.look = col_double()
## )First, use ggplot to plot a histogram of the ages of children in the study. NOTE: this is a repeated measures design, so you can’t just take a histogram of every measurement.
# PLaying with QPLOT TIME: with qplot but it is double counting the measurements because it is not filter by condition.
hist_plot <-qplot(fvs$age,
geom = "histogram",
binwidth = .5,
main = "Histogram for Age",
xlab = "Age",
fill=I("gray"),
col=I("black"),
alpha=I(.2),
xlim=c(1,30))
hist_plot## Warning: Removed 2 rows containing missing values (geom_bar).
# with ggplot but without repeating the measurements for the conditions as requested in the problem set
fvsCMed <- fvs%>%
filter(condition=="Faces_Medium")
hist_plot2 <-ggplot(data = fvsCMed, aes(fvsCMed$age)) +
geom_histogram(breaks=seq(1,30, by=.5),
col="black",
fill="gray",
alpha = .2) +
labs(tittle="Histogram fro Age") +
labs(x="Age", y="Frequency") +
xlim(c(1,30))
hist_plot2
Second, make a scatter plot showing hand looking as a function of age and condition. Add appropriate smoothing lines. Take the time to fix the axis labels and make the plot look nice.
sp <- ggplot(data = fvs, aes(age, hand.look))
sp + geom_point(aes(colour = condition), size=2) +
geom_smooth(aes(group =condition, colour=condition), method = "lm") +
labs(tittle="Scatter plot age vs. hand looking by condition") +
labs(x="Age (months)", y="Hand Looking")
What do you conclude from this pattern of data?
Based on the data from Frank, Vul & Saxe (2011), a study in which we measured infants’ looking to hands in moving scenes, there is greater variability in the amount kids who look at hands in the faces plus conditions. These variations are even greater as kids become older than 10 months. In the faces medium condition, results were more consistent and the head looking tends to increase as age increases.
What statistical analyses would you perform here to quantify these differences?
I will run a t-test to compare the means of the two populations of students who were in the faces medium condition and in the faces plus conditions.
Part 2
Sklar et al. (2012) claim evidence for unconscious arithmetic processing - they prime participants with arithmetic problems and claim that the authors are faster to repeat the answers. We’re going to do a reanalysis of their Experiment 6, which is the primary piece of evidence for that claim. The data are generously shared by Asael Sklar. (You may recall these data from the tidyverse tutorial earlier in the quarter).
Data Prep
First read in two data files and subject info. A and B refer to different trial order counterbalances.
subinfo <- read_csv("data/sklar_expt6_subinfo_corrected.csv")## Parsed with column specification:
## cols(
## subid = col_integer(),
## presentation.time = col_integer(),
## subjective.test = col_integer(),
## objective.test = col_double()
## )d_a <- read_csv("data/sklar_expt6a_corrected.csv")## Parsed with column specification:
## cols(
## .default = col_integer(),
## prime = col_character(),
## congruent = col_character(),
## operand = col_character()
## )## See spec(...) for full column specifications.d_b <- read_csv("data/sklar_expt6b_corrected.csv")## Parsed with column specification:
## cols(
## .default = col_integer(),
## prime = col_character(),
## congruent = col_character(),
## operand = col_character()
## )
## See spec(...) for full column specifications.subinfo## # A tibble: 42 x 4
## subid presentation.time subjective.test objective.test
## <int> <int> <int> <dbl>
## 1 1 1700 0 0.587
## 2 2 1700 1 0.641
## 3 3 1700 0 0.562
## 4 4 1700 0 0.611
## 5 5 1700 1 0.855
## 6 6 1700 0 0.469
## 7 7 1700 0 0.524
## 8 8 1700 1 0.921
## 9 9 1700 0 0.438
## 10 10 1700 1 0.629
## # ... with 32 more rowsd_a## # A tibble: 154 x 28
## prime prime.result target congruent operand distance counterbalance
## <chr> <int> <int> <chr> <chr> <int> <int>
## 1 =1+2… 8 9 no A -1 1
## 2 =1+3… 9 11 no A -2 1
## 3 =1+4… 8 12 no A -4 1
## 4 =1+6… 10 12 no A -2 1
## 5 =1+9… 12 11 no A 1 1
## 6 =1+9… 13 12 no A 1 1
## 7 =2+1… 12 11 no A 1 1
## 8 =2+3… 11 10 no A 1 1
## 9 =2+3… 12 11 no A 1 1
## 10 =2+5… 13 9 no A 4 1
## # ... with 144 more rows, and 21 more variables: `1` <int>, `2` <int>,
## # `3` <int>, `4` <int>, `5` <int>, `6` <int>, `7` <int>, `8` <int>,
## # `9` <int>, `10` <int>, `11` <int>, `12` <int>, `13` <int>, `14` <int>,
## # `15` <int>, `16` <int>, `17` <int>, `18` <int>, `19` <int>,
## # `20` <int>, `21` <int>d_b## # A tibble: 154 x 28
## prime prime.result target congruent operand distance counterbalance
## <chr> <int> <int> <chr> <chr> <int> <int>
## 1 =1+2… 12 8 no A 4 2
## 2 =1+3… 10 14 no A -4 2
## 3 =1+5… 9 12 no A -3 2
## 4 =1+6… 9 10 no A -1 2
## 5 =1+7… 10 11 no A -1 2
## 6 =2+3… 10 12 no A -2 2
## 7 =2+4… 11 10 no A 1 2
## 8 =2+6… 12 9 no A 3 2
## 9 =2+7… 14 13 no A 1 2
## 10 =2+8… 11 13 no A -2 2
## # ... with 144 more rows, and 21 more variables: `22` <int>, `23` <int>,
## # `24` <int>, `25` <int>, `26` <int>, `27` <int>, `28` <int>,
## # `29` <int>, `30` <int>, `31` <int>, `32` <int>, `33` <int>,
## # `34` <int>, `35` <int>, `36` <int>, `37` <int>, `38` <int>,
## # `39` <int>, `40` <int>, `41` <int>, `42` <int>gather these datasets into long (“tidy data”) form. If you need to review tidying, here’s the link to R4DS (bookmark it!). Remember that you can use select_helpers to help in your gathering.
Once you’ve tidied, bind all the data together. Check out bind_rows.
The resulting tidy dataset should look like this:
prime prime.result target congruent operand distance counterbalance subid rt
<chr> <int> <int> <chr> <chr> <int> <int> <dbl> <int>
1 =1+2+5 8 9 no A -1 1 1 597
2 =1+3+5 9 11 no A -2 1 1 699
3 =1+4+3 8 12 no A -4 1 1 700
4 =1+6+3 10 12 no A -2 1 1 628
5 =1+9+2 12 11 no A 1 1 1 768
6 =1+9+3 13 12 no A 1 1 1 595#tidy data from d_a
d_a1 <- d_a %>%
gather(`1`,`2`,`3`,`4`,`5`, `6`,`7`, `8`, `9`, `10`, `11`, `12`, `13`, `14`, `15`,`16`,`17`,`18`,`19`,`20`,`21`, key= "subid", value ="rt")
d_a1## # A tibble: 3,234 x 9
## prime prime.result target congruent operand distance counterbalance
## <chr> <int> <int> <chr> <chr> <int> <int>
## 1 =1+2… 8 9 no A -1 1
## 2 =1+3… 9 11 no A -2 1
## 3 =1+4… 8 12 no A -4 1
## 4 =1+6… 10 12 no A -2 1
## 5 =1+9… 12 11 no A 1 1
## 6 =1+9… 13 12 no A 1 1
## 7 =2+1… 12 11 no A 1 1
## 8 =2+3… 11 10 no A 1 1
## 9 =2+3… 12 11 no A 1 1
## 10 =2+5… 13 9 no A 4 1
## # ... with 3,224 more rows, and 2 more variables: subid <chr>, rt <int>#tidy data from d_b
d_b1 <- d_b %>%
gather(`22`,`23`,`24`,`25`,`26`,`27`,`28`,`29`,`30`,`31`,`32`,`33`,`34`,`35`,`36`,`37`, `38`,`39`,`40`,`41`,`42`, key= "subid", value ="rt")
d_b1## # A tibble: 3,234 x 9
## prime prime.result target congruent operand distance counterbalance
## <chr> <int> <int> <chr> <chr> <int> <int>
## 1 =1+2… 12 8 no A 4 2
## 2 =1+3… 10 14 no A -4 2
## 3 =1+5… 9 12 no A -3 2
## 4 =1+6… 9 10 no A -1 2
## 5 =1+7… 10 11 no A -1 2
## 6 =2+3… 10 12 no A -2 2
## 7 =2+4… 11 10 no A 1 2
## 8 =2+6… 12 9 no A 3 2
## 9 =2+7… 14 13 no A 1 2
## 10 =2+8… 11 13 no A -2 2
## # ... with 3,224 more rows, and 2 more variables: subid <chr>, rt <int>#Combine both of the datas
ab <-bind_rows(list(d_a1, d_b1))
ab## # A tibble: 6,468 x 9
## prime prime.result target congruent operand distance counterbalance
## <chr> <int> <int> <chr> <chr> <int> <int>
## 1 =1+2… 8 9 no A -1 1
## 2 =1+3… 9 11 no A -2 1
## 3 =1+4… 8 12 no A -4 1
## 4 =1+6… 10 12 no A -2 1
## 5 =1+9… 12 11 no A 1 1
## 6 =1+9… 13 12 no A 1 1
## 7 =2+1… 12 11 no A 1 1
## 8 =2+3… 11 10 no A 1 1
## 9 =2+3… 12 11 no A 1 1
## 10 =2+5… 13 9 no A 4 1
## # ... with 6,458 more rows, and 2 more variables: subid <chr>, rt <int>Merge these with subject info. You will need to look into merge and its relatives, left_ and right_join. Call this dataframe d, by convention.
d <- merge(ab, subinfo, by="subid")
d## subid prime prime.result target congruent operand distance
## 1 1 =1+2+5 8 9 no A -1
## 2 1 =1+3+5 9 11 no A -2
## 3 1 =1+4+3 8 12 no A -4
## 4 1 =1+6+3 10 12 no A -2
## 5 1 =1+9+2 12 11 no A 1
## 6 1 =1+9+3 13 12 no A 1
## 7 1 =2+1+9 12 11 no A 1
## 8 1 =2+3+6 11 10 no A 1
## 9 1 =2+3+7 12 11 no A 1
## 10 1 =2+5+6 13 9 no A 4
## 11 1 =2+7+1 10 12 no A -2
## 12 1 =2+8+3 13 11 no A 2
## 13 1 =3+1+5 9 12 no A -3
## 14 1 =3+1+7 11 12 no A -1
## 15 1 =3+2+5 10 14 no A -4
## 16 1 =3+4+2 9 10 no A -1
## 17 1 =3+5+4 12 10 no A 2
## 18 1 =3+5+6 14 13 no A 1
## 19 1 =3+6+2 11 12 no A -1
## 20 1 =3+7+2 12 8 no A 4
## 21 1 =4+1+7 12 9 no A 3
## 22 1 =4+1+8 13 10 no A 3
## 23 1 =4+3+2 9 10 no A -1
## 24 1 =4+6+1 11 12 no A -1
## 25 1 =4+6+2 12 13 no A -1
## 26 1 =4+6+3 13 12 no A 1
## 27 1 =5+1+3 9 14 no A -5
## 28 1 =5+1+4 10 11 no A -1
## 29 1 =5+1+6 12 8 no A 4
## 30 1 =5+2+4 11 13 no A -2
## 31 1 =5+4+1 10 12 no A -2
## 32 1 =6+1+2 9 13 no A -4
## 33 1 =6+4+1 11 13 no A -2
## 34 1 =6+5+1 12 13 no A -1
## 35 1 =7+1+3 11 9 no A 2
## 36 1 =7+1+4 12 10 no A 2
## 37 1 =7+1+5 13 9 no A 4
## 38 1 =7+2+1 10 11 no A -1
## 39 1 =8+2+1 11 9 no A 2
## 40 1 =8+2+4 14 11 no A 3
## 41 1 =1+2+9 12 12 yes A 0
## 42 1 =1+3+6 10 10 yes A 0
## 43 1 =1+5+3 9 9 yes A 0
## 44 1 =1+6+2 9 9 yes A 0
## 45 1 =1+7+2 10 10 yes A 0
## 46 1 =2+3+5 10 10 yes A 0
## 47 1 =2+4+5 11 11 yes A 0
## 48 1 =2+6+4 12 12 yes A 0
## 49 1 =2+7+5 14 14 yes A 0
## 50 1 =2+8+1 11 11 yes A 0
## 51 1 =3+1+4 8 8 yes A 0
## 52 1 =3+2+4 9 9 yes A 0
## 53 1 =3+2+6 11 11 yes A 0
## 54 1 =3+7+1 11 11 yes A 0
## 55 1 =4+1+5 10 10 yes A 0
## 56 1 =4+1+6 11 11 yes A 0
## 57 1 =4+2+3 9 9 yes A 0
## 58 1 =4+2+6 12 12 yes A 0
## 59 1 =4+2+7 13 13 yes A 0
## 60 1 =4+5+1 10 10 yes A 0
## 61 1 =4+5+2 11 11 yes A 0
## 62 1 =4+7+1 12 12 yes A 0
## 63 1 =5+1+2 8 8 yes A 0
## 64 1 =5+3+1 9 9 yes A 0
## 65 1 =5+3+2 10 10 yes A 0
## 66 1 =5+3+4 12 12 yes A 0
## 67 1 =6+1+5 12 12 yes A 0
## 68 1 =6+2+1 9 9 yes A 0
## 69 1 =6+2+3 11 11 yes A 0
## 70 1 =6+4+2 12 12 yes A 0
## 71 1 =6+4+3 13 13 yes A 0
## 72 1 =6+5+2 13 13 yes A 0
## 73 1 =7+2+3 12 12 yes A 0
## 74 1 =7+3+1 11 11 yes A 0
## 75 1 =7+3+2 12 12 yes A 0
## 76 1 =7+3+4 14 14 yes A 0
## 77 1 =8+2+3 13 13 yes A 0
## 78 1 =9+1+2 12 12 yes A 0
## 79 1 =9+1+3 13 13 yes A 0
## 80 1 =9+3+1 13 13 yes A 0
## 81 1 =3-1-2 0 4 no S -4
## 82 1 =4-3-1 0 2 no S -2
## 83 1 =5-1-4 0 3 no S -3
## 84 1 =5-3-2 0 1 no S -1
## 85 1 =6-1-2 3 0 no S 3
## 86 1 =6-1-3 2 0 no S 2
## 87 1 =6-3-2 1 4 no S -3
## 88 1 =6-4-2 0 1 no S -1
## 89 1 =6-5-1 0 3 no S -3
## 90 1 =7-1-2 4 0 no S 4
## 91 1 =7-1-4 2 0 no S 2
## 92 1 =7-1-6 0 3 no S -3
## 93 1 =7-2-4 1 0 no S 1
## 94 1 =7-2-5 0 1 no S -1
## 95 1 =7-4-3 0 1 no S -1
## 96 1 =8-1-2 5 0 no S 5
## 97 1 =8-1-3 4 0 no S 4
## 98 1 =8-1-5 2 0 no S 2
## 99 1 =8-1-7 0 5 no S -5
## 100 1 =8-2-5 1 6 no S -5
## 101 1 =8-3-5 0 2 no S -2
## 102 1 =8-4-1 3 0 no S 3
## 103 1 =8-4-3 1 0 no S 1
## 104 1 =8-6-2 0 5 no S -5
## 105 1 =9-1-2 6 3 no S 3
## 106 1 =9-1-8 0 2 no S -2
## 107 1 =9-2-3 4 0 no S 4
## 108 1 =9-2-4 3 0 no S 3
## 109 1 =9-2-6 1 0 no S 1
## 110 1 =9-3-1 5 0 no S 5
## 111 1 =9-4-3 2 1 no S 1
## 112 1 =9-5-1 3 2 no S 1
## 113 1 =9-5-3 1 0 no S 1
## 114 1 =9-5-4 0 2 no S -2
## 115 1 =9-6-1 2 0 no S 2
## 116 1 =9-6-3 0 1 no S -1
## 117 1 =9-7-2 0 4 no S -4
## 118 1 =3-2-1 0 0 yes S 0
## 119 1 =4-1-3 0 0 yes S 0
## 120 1 =5-2-3 0 0 yes S 0
## 121 1 =5-4-1 0 0 yes S 0
## 122 1 =6-1-5 0 0 yes S 0
## 123 1 =6-2-1 3 3 yes S 0
## 124 1 =6-2-3 1 1 yes S 0
## 125 1 =6-2-4 0 0 yes S 0
## 126 1 =6-3-1 2 2 yes S 0
## 127 1 =7-2-1 4 4 yes S 0
## 128 1 =7-3-4 0 0 yes S 0
## 129 1 =7-4-1 2 2 yes S 0
## 130 1 =7-4-2 1 1 yes S 0
## 131 1 =7-5-2 0 0 yes S 0
## 132 1 =7-6-1 0 0 yes S 0
## 133 1 =8-1-4 3 3 yes S 0
## 134 1 =8-2-1 5 5 yes S 0
## 135 1 =8-2-6 0 0 yes S 0
## 136 1 =8-3-1 4 4 yes S 0
## 137 1 =8-3-4 1 1 yes S 0
## 138 1 =8-5-1 2 2 yes S 0
## 139 1 =8-5-2 1 1 yes S 0
## 140 1 =8-5-3 0 0 yes S 0
## 141 1 =8-7-1 0 0 yes S 0
## 142 1 =9-1-3 5 5 yes S 0
## 143 1 =9-1-5 3 3 yes S 0
## 144 1 =9-1-6 2 2 yes S 0
## 145 1 =9-2-1 6 6 yes S 0
## 146 1 =9-2-7 0 0 yes S 0
## 147 1 =9-3-2 4 4 yes S 0
## 148 1 =9-3-4 2 2 yes S 0
## 149 1 =9-3-5 1 1 yes S 0
## 150 1 =9-3-6 0 0 yes S 0
## 151 1 =9-4-2 3 3 yes S 0
## 152 1 =9-4-5 0 0 yes S 0
## 153 1 =9-6-2 1 1 yes S 0
## 154 1 =9-8-1 0 0 yes S 0
## 155 10 =1+2+5 8 9 no A -1
## 156 10 =1+3+5 9 11 no A -2
## 157 10 =1+4+3 8 12 no A -4
## 158 10 =1+6+3 10 12 no A -2
## 159 10 =1+9+2 12 11 no A 1
## 160 10 =1+9+3 13 12 no A 1
## 161 10 =2+1+9 12 11 no A 1
## 162 10 =2+3+6 11 10 no A 1
## 163 10 =2+3+7 12 11 no A 1
## 164 10 =2+5+6 13 9 no A 4
## 165 10 =2+7+1 10 12 no A -2
## 166 10 =2+8+3 13 11 no A 2
## 167 10 =3+1+5 9 12 no A -3
## 168 10 =3+1+7 11 12 no A -1
## 169 10 =3+2+5 10 14 no A -4
## 170 10 =3+4+2 9 10 no A -1
## 171 10 =3+5+4 12 10 no A 2
## 172 10 =3+5+6 14 13 no A 1
## 173 10 =3+6+2 11 12 no A -1
## 174 10 =3+7+2 12 8 no A 4
## 175 10 =4+1+7 12 9 no A 3
## 176 10 =4+1+8 13 10 no A 3
## 177 10 =4+3+2 9 10 no A -1
## 178 10 =4+6+1 11 12 no A -1
## 179 10 =4+6+2 12 13 no A -1
## 180 10 =4+6+3 13 12 no A 1
## 181 10 =5+1+3 9 14 no A -5
## 182 10 =5+1+4 10 11 no A -1
## 183 10 =5+1+6 12 8 no A 4
## 184 10 =5+2+4 11 13 no A -2
## 185 10 =5+4+1 10 12 no A -2
## 186 10 =6+1+2 9 13 no A -4
## 187 10 =6+4+1 11 13 no A -2
## 188 10 =6+5+1 12 13 no A -1
## 189 10 =7+1+3 11 9 no A 2
## 190 10 =7+1+4 12 10 no A 2
## 191 10 =7+1+5 13 9 no A 4
## 192 10 =7+2+1 10 11 no A -1
## 193 10 =8+2+1 11 9 no A 2
## 194 10 =8+2+4 14 11 no A 3
## 195 10 =1+2+9 12 12 yes A 0
## 196 10 =1+3+6 10 10 yes A 0
## 197 10 =1+5+3 9 9 yes A 0
## 198 10 =1+6+2 9 9 yes A 0
## 199 10 =1+7+2 10 10 yes A 0
## 200 10 =2+3+5 10 10 yes A 0
## 201 10 =2+4+5 11 11 yes A 0
## 202 10 =2+6+4 12 12 yes A 0
## 203 10 =2+7+5 14 14 yes A 0
## 204 10 =2+8+1 11 11 yes A 0
## 205 10 =3+1+4 8 8 yes A 0
## 206 10 =3+2+4 9 9 yes A 0
## 207 10 =3+2+6 11 11 yes A 0
## 208 10 =3+7+1 11 11 yes A 0
## 209 10 =4+1+5 10 10 yes A 0
## 210 10 =4+1+6 11 11 yes A 0
## 211 10 =4+2+3 9 9 yes A 0
## 212 10 =4+2+6 12 12 yes A 0
## 213 10 =4+2+7 13 13 yes A 0
## 214 10 =4+5+1 10 10 yes A 0
## 215 10 =4+5+2 11 11 yes A 0
## 216 10 =4+7+1 12 12 yes A 0
## 217 10 =5+1+2 8 8 yes A 0
## 218 10 =5+3+1 9 9 yes A 0
## 219 10 =5+3+2 10 10 yes A 0
## 220 10 =5+3+4 12 12 yes A 0
## 221 10 =6+1+5 12 12 yes A 0
## 222 10 =6+2+1 9 9 yes A 0
## 223 10 =6+2+3 11 11 yes A 0
## 224 10 =6+4+2 12 12 yes A 0
## 225 10 =6+4+3 13 13 yes A 0
## 226 10 =6+5+2 13 13 yes A 0
## 227 10 =7+2+3 12 12 yes A 0
## 228 10 =7+3+1 11 11 yes A 0
## 229 10 =7+3+2 12 12 yes A 0
## 230 10 =7+3+4 14 14 yes A 0
## 231 10 =8+2+3 13 13 yes A 0
## 232 10 =9+1+2 12 12 yes A 0
## 233 10 =9+1+3 13 13 yes A 0
## 234 10 =9+3+1 13 13 yes A 0
## 235 10 =3-1-2 0 4 no S -4
## 236 10 =4-3-1 0 2 no S -2
## 237 10 =5-1-4 0 3 no S -3
## 238 10 =5-3-2 0 1 no S -1
## 239 10 =6-1-2 3 0 no S 3
## 240 10 =6-1-3 2 0 no S 2
## 241 10 =6-3-2 1 4 no S -3
## 242 10 =6-4-2 0 1 no S -1
## 243 10 =6-5-1 0 3 no S -3
## 244 10 =7-1-2 4 0 no S 4
## 245 10 =7-1-4 2 0 no S 2
## 246 10 =7-1-6 0 3 no S -3
## 247 10 =7-2-4 1 0 no S 1
## 248 10 =7-2-5 0 1 no S -1
## 249 10 =7-4-3 0 1 no S -1
## 250 10 =8-1-2 5 0 no S 5
## 251 10 =8-1-3 4 0 no S 4
## 252 10 =8-1-5 2 0 no S 2
## 253 10 =8-1-7 0 5 no S -5
## 254 10 =8-2-5 1 6 no S -5
## 255 10 =8-3-5 0 2 no S -2
## 256 10 =8-4-1 3 0 no S 3
## 257 10 =8-4-3 1 0 no S 1
## 258 10 =8-6-2 0 5 no S -5
## 259 10 =9-1-2 6 3 no S 3
## 260 10 =9-1-8 0 2 no S -2
## 261 10 =9-2-3 4 0 no S 4
## 262 10 =9-2-4 3 0 no S 3
## 263 10 =9-2-6 1 0 no S 1
## 264 10 =9-3-1 5 0 no S 5
## 265 10 =9-4-3 2 1 no S 1
## 266 10 =9-5-1 3 2 no S 1
## 267 10 =9-5-3 1 0 no S 1
## 268 10 =9-5-4 0 2 no S -2
## 269 10 =9-6-1 2 0 no S 2
## 270 10 =9-6-3 0 1 no S -1
## 271 10 =9-7-2 0 4 no S -4
## 272 10 =3-2-1 0 0 yes S 0
## 273 10 =4-1-3 0 0 yes S 0
## 274 10 =5-2-3 0 0 yes S 0
## 275 10 =5-4-1 0 0 yes S 0
## 276 10 =6-1-5 0 0 yes S 0
## 277 10 =6-2-1 3 3 yes S 0
## 278 10 =6-2-3 1 1 yes S 0
## 279 10 =6-2-4 0 0 yes S 0
## 280 10 =6-3-1 2 2 yes S 0
## 281 10 =7-2-1 4 4 yes S 0
## 282 10 =7-3-4 0 0 yes S 0
## 283 10 =7-4-1 2 2 yes S 0
## 284 10 =7-4-2 1 1 yes S 0
## 285 10 =7-5-2 0 0 yes S 0
## 286 10 =7-6-1 0 0 yes S 0
## 287 10 =8-1-4 3 3 yes S 0
## 288 10 =8-2-1 5 5 yes S 0
## 289 10 =8-2-6 0 0 yes S 0
## 290 10 =8-3-1 4 4 yes S 0
## 291 10 =8-3-4 1 1 yes S 0
## 292 10 =8-5-1 2 2 yes S 0
## 293 10 =8-5-2 1 1 yes S 0
## 294 10 =8-5-3 0 0 yes S 0
## 295 10 =8-7-1 0 0 yes S 0
## 296 10 =9-1-3 5 5 yes S 0
## 297 10 =9-1-5 3 3 yes S 0
## 298 10 =9-1-6 2 2 yes S 0
## 299 10 =9-2-1 6 6 yes S 0
## 300 10 =9-2-7 0 0 yes S 0
## 301 10 =9-3-2 4 4 yes S 0
## 302 10 =9-3-4 2 2 yes S 0
## 303 10 =9-3-5 1 1 yes S 0
## 304 10 =9-3-6 0 0 yes S 0
## 305 10 =9-4-2 3 3 yes S 0
## 306 10 =9-4-5 0 0 yes S 0
## 307 10 =9-6-2 1 1 yes S 0
## 308 10 =9-8-1 0 0 yes S 0
## 309 11 =1+2+5 8 9 no A -1
## 310 11 =1+3+5 9 11 no A -2
## 311 11 =1+4+3 8 12 no A -4
## 312 11 =1+6+3 10 12 no A -2
## 313 11 =1+9+2 12 11 no A 1
## 314 11 =1+9+3 13 12 no A 1
## 315 11 =2+1+9 12 11 no A 1
## 316 11 =2+3+6 11 10 no A 1
## 317 11 =2+3+7 12 11 no A 1
## 318 11 =2+5+6 13 9 no A 4
## 319 11 =2+7+1 10 12 no A -2
## 320 11 =2+8+3 13 11 no A 2
## 321 11 =3+1+5 9 12 no A -3
## 322 11 =3+1+7 11 12 no A -1
## 323 11 =3+2+5 10 14 no A -4
## 324 11 =3+4+2 9 10 no A -1
## 325 11 =3+5+4 12 10 no A 2
## 326 11 =3+5+6 14 13 no A 1
## 327 11 =3+6+2 11 12 no A -1
## 328 11 =3+7+2 12 8 no A 4
## 329 11 =4+1+7 12 9 no A 3
## 330 11 =4+1+8 13 10 no A 3
## 331 11 =4+3+2 9 10 no A -1
## 332 11 =4+6+1 11 12 no A -1
## 333 11 =4+6+2 12 13 no A -1
## 334 11 =4+6+3 13 12 no A 1
## 335 11 =5+1+3 9 14 no A -5
## 336 11 =5+1+4 10 11 no A -1
## 337 11 =5+1+6 12 8 no A 4
## 338 11 =5+2+4 11 13 no A -2
## 339 11 =5+4+1 10 12 no A -2
## 340 11 =6+1+2 9 13 no A -4
## 341 11 =6+4+1 11 13 no A -2
## 342 11 =6+5+1 12 13 no A -1
## 343 11 =7+1+3 11 9 no A 2
## 344 11 =7+1+4 12 10 no A 2
## 345 11 =7+1+5 13 9 no A 4
## 346 11 =7+2+1 10 11 no A -1
## 347 11 =8+2+1 11 9 no A 2
## 348 11 =8+2+4 14 11 no A 3
## 349 11 =1+2+9 12 12 yes A 0
## 350 11 =1+3+6 10 10 yes A 0
## 351 11 =1+5+3 9 9 yes A 0
## 352 11 =1+6+2 9 9 yes A 0
## 353 11 =1+7+2 10 10 yes A 0
## 354 11 =2+3+5 10 10 yes A 0
## 355 11 =2+4+5 11 11 yes A 0
## 356 11 =2+6+4 12 12 yes A 0
## 357 11 =2+7+5 14 14 yes A 0
## 358 11 =2+8+1 11 11 yes A 0
## 359 11 =3+1+4 8 8 yes A 0
## 360 11 =3+2+4 9 9 yes A 0
## 361 11 =3+2+6 11 11 yes A 0
## 362 11 =3+7+1 11 11 yes A 0
## 363 11 =4+1+5 10 10 yes A 0
## 364 11 =4+1+6 11 11 yes A 0
## 365 11 =4+2+3 9 9 yes A 0
## 366 11 =4+2+6 12 12 yes A 0
## 367 11 =4+2+7 13 13 yes A 0
## 368 11 =4+5+1 10 10 yes A 0
## 369 11 =4+5+2 11 11 yes A 0
## 370 11 =4+7+1 12 12 yes A 0
## 371 11 =5+1+2 8 8 yes A 0
## 372 11 =5+3+1 9 9 yes A 0
## 373 11 =5+3+2 10 10 yes A 0
## 374 11 =5+3+4 12 12 yes A 0
## 375 11 =6+1+5 12 12 yes A 0
## 376 11 =6+2+1 9 9 yes A 0
## 377 11 =6+2+3 11 11 yes A 0
## 378 11 =6+4+2 12 12 yes A 0
## 379 11 =6+4+3 13 13 yes A 0
## 380 11 =6+5+2 13 13 yes A 0
## 381 11 =7+2+3 12 12 yes A 0
## 382 11 =7+3+1 11 11 yes A 0
## 383 11 =7+3+2 12 12 yes A 0
## 384 11 =7+3+4 14 14 yes A 0
## 385 11 =8+2+3 13 13 yes A 0
## 386 11 =9+1+2 12 12 yes A 0
## 387 11 =9+1+3 13 13 yes A 0
## 388 11 =9+3+1 13 13 yes A 0
## 389 11 =3-1-2 0 4 no S -4
## 390 11 =4-3-1 0 2 no S -2
## 391 11 =5-1-4 0 3 no S -3
## 392 11 =5-3-2 0 1 no S -1
## 393 11 =6-1-2 3 0 no S 3
## 394 11 =6-1-3 2 0 no S 2
## 395 11 =6-3-2 1 4 no S -3
## 396 11 =6-4-2 0 1 no S -1
## 397 11 =6-5-1 0 3 no S -3
## 398 11 =7-1-2 4 0 no S 4
## 399 11 =7-1-4 2 0 no S 2
## 400 11 =7-1-6 0 3 no S -3
## 401 11 =7-2-4 1 0 no S 1
## 402 11 =7-2-5 0 1 no S -1
## 403 11 =7-4-3 0 1 no S -1
## 404 11 =8-1-2 5 0 no S 5
## 405 11 =8-1-3 4 0 no S 4
## 406 11 =8-1-5 2 0 no S 2
## 407 11 =8-1-7 0 5 no S -5
## 408 11 =8-2-5 1 6 no S -5
## 409 11 =8-3-5 0 2 no S -2
## 410 11 =8-4-1 3 0 no S 3
## 411 11 =8-4-3 1 0 no S 1
## 412 11 =8-6-2 0 5 no S -5
## 413 11 =9-1-2 6 3 no S 3
## 414 11 =9-1-8 0 2 no S -2
## 415 11 =9-2-3 4 0 no S 4
## 416 11 =9-2-4 3 0 no S 3
## 417 11 =9-2-6 1 0 no S 1
## 418 11 =9-3-1 5 0 no S 5
## 419 11 =9-4-3 2 1 no S 1
## 420 11 =9-5-1 3 2 no S 1
## 421 11 =9-5-3 1 0 no S 1
## 422 11 =9-5-4 0 2 no S -2
## 423 11 =9-6-1 2 0 no S 2
## 424 11 =9-6-3 0 1 no S -1
## 425 11 =9-7-2 0 4 no S -4
## 426 11 =3-2-1 0 0 yes S 0
## 427 11 =4-1-3 0 0 yes S 0
## 428 11 =5-2-3 0 0 yes S 0
## 429 11 =5-4-1 0 0 yes S 0
## 430 11 =6-1-5 0 0 yes S 0
## 431 11 =6-2-1 3 3 yes S 0
## 432 11 =6-2-3 1 1 yes S 0
## 433 11 =6-2-4 0 0 yes S 0
## 434 11 =6-3-1 2 2 yes S 0
## 435 11 =7-2-1 4 4 yes S 0
## 436 11 =7-3-4 0 0 yes S 0
## 437 11 =7-4-1 2 2 yes S 0
## 438 11 =7-4-2 1 1 yes S 0
## 439 11 =7-5-2 0 0 yes S 0
## 440 11 =7-6-1 0 0 yes S 0
## 441 11 =8-1-4 3 3 yes S 0
## 442 11 =8-2-1 5 5 yes S 0
## 443 11 =8-2-6 0 0 yes S 0
## 444 11 =8-3-1 4 4 yes S 0
## 445 11 =8-3-4 1 1 yes S 0
## 446 11 =8-5-1 2 2 yes S 0
## 447 11 =8-5-2 1 1 yes S 0
## 448 11 =8-5-3 0 0 yes S 0
## 449 11 =8-7-1 0 0 yes S 0
## 450 11 =9-1-3 5 5 yes S 0
## 451 11 =9-1-5 3 3 yes S 0
## 452 11 =9-1-6 2 2 yes S 0
## 453 11 =9-2-1 6 6 yes S 0
## 454 11 =9-2-7 0 0 yes S 0
## 455 11 =9-3-2 4 4 yes S 0
## 456 11 =9-3-4 2 2 yes S 0
## 457 11 =9-3-5 1 1 yes S 0
## 458 11 =9-3-6 0 0 yes S 0
## 459 11 =9-4-2 3 3 yes S 0
## 460 11 =9-4-5 0 0 yes S 0
## 461 11 =9-6-2 1 1 yes S 0
## 462 11 =9-8-1 0 0 yes S 0
## 463 12 =1+2+5 8 9 no A -1
## 464 12 =1+3+5 9 11 no A -2
## 465 12 =1+4+3 8 12 no A -4
## 466 12 =1+6+3 10 12 no A -2
## 467 12 =1+9+2 12 11 no A 1
## 468 12 =1+9+3 13 12 no A 1
## 469 12 =2+1+9 12 11 no A 1
## 470 12 =2+3+6 11 10 no A 1
## 471 12 =2+3+7 12 11 no A 1
## 472 12 =2+5+6 13 9 no A 4
## 473 12 =2+7+1 10 12 no A -2
## 474 12 =2+8+3 13 11 no A 2
## 475 12 =3+1+5 9 12 no A -3
## 476 12 =3+1+7 11 12 no A -1
## 477 12 =3+2+5 10 14 no A -4
## 478 12 =3+4+2 9 10 no A -1
## 479 12 =3+5+4 12 10 no A 2
## 480 12 =3+5+6 14 13 no A 1
## 481 12 =3+6+2 11 12 no A -1
## 482 12 =3+7+2 12 8 no A 4
## 483 12 =4+1+7 12 9 no A 3
## 484 12 =4+1+8 13 10 no A 3
## 485 12 =4+3+2 9 10 no A -1
## 486 12 =4+6+1 11 12 no A -1
## 487 12 =4+6+2 12 13 no A -1
## 488 12 =4+6+3 13 12 no A 1
## 489 12 =5+1+3 9 14 no A -5
## 490 12 =5+1+4 10 11 no A -1
## 491 12 =5+1+6 12 8 no A 4
## 492 12 =5+2+4 11 13 no A -2
## 493 12 =5+4+1 10 12 no A -2
## 494 12 =6+1+2 9 13 no A -4
## 495 12 =6+4+1 11 13 no A -2
## 496 12 =6+5+1 12 13 no A -1
## 497 12 =7+1+3 11 9 no A 2
## 498 12 =7+1+4 12 10 no A 2
## 499 12 =7+1+5 13 9 no A 4
## 500 12 =7+2+1 10 11 no A -1
## 501 12 =8+2+1 11 9 no A 2
## 502 12 =8+2+4 14 11 no A 3
## 503 12 =1+2+9 12 12 yes A 0
## 504 12 =1+3+6 10 10 yes A 0
## 505 12 =1+5+3 9 9 yes A 0
## 506 12 =1+6+2 9 9 yes A 0
## 507 12 =1+7+2 10 10 yes A 0
## 508 12 =2+3+5 10 10 yes A 0
## 509 12 =2+4+5 11 11 yes A 0
## 510 12 =2+6+4 12 12 yes A 0
## 511 12 =2+7+5 14 14 yes A 0
## 512 12 =2+8+1 11 11 yes A 0
## 513 12 =3+1+4 8 8 yes A 0
## 514 12 =3+2+4 9 9 yes A 0
## 515 12 =3+2+6 11 11 yes A 0
## 516 12 =3+7+1 11 11 yes A 0
## 517 12 =4+1+5 10 10 yes A 0
## 518 12 =4+1+6 11 11 yes A 0
## 519 12 =4+2+3 9 9 yes A 0
## 520 12 =4+2+6 12 12 yes A 0
## 521 12 =4+2+7 13 13 yes A 0
## 522 12 =4+5+1 10 10 yes A 0
## 523 12 =4+5+2 11 11 yes A 0
## 524 12 =4+7+1 12 12 yes A 0
## 525 12 =5+1+2 8 8 yes A 0
## 526 12 =5+3+1 9 9 yes A 0
## 527 12 =5+3+2 10 10 yes A 0
## 528 12 =5+3+4 12 12 yes A 0
## 529 12 =6+1+5 12 12 yes A 0
## 530 12 =6+2+1 9 9 yes A 0
## 531 12 =6+2+3 11 11 yes A 0
## 532 12 =6+4+2 12 12 yes A 0
## 533 12 =6+4+3 13 13 yes A 0
## 534 12 =6+5+2 13 13 yes A 0
## 535 12 =7+2+3 12 12 yes A 0
## 536 12 =7+3+1 11 11 yes A 0
## 537 12 =7+3+2 12 12 yes A 0
## 538 12 =7+3+4 14 14 yes A 0
## 539 12 =8+2+3 13 13 yes A 0
## 540 12 =9+1+2 12 12 yes A 0
## 541 12 =9+1+3 13 13 yes A 0
## 542 12 =9+3+1 13 13 yes A 0
## 543 12 =3-1-2 0 4 no S -4
## 544 12 =4-3-1 0 2 no S -2
## 545 12 =5-1-4 0 3 no S -3
## 546 12 =5-3-2 0 1 no S -1
## 547 12 =6-1-2 3 0 no S 3
## 548 12 =6-1-3 2 0 no S 2
## 549 12 =6-3-2 1 4 no S -3
## 550 12 =6-4-2 0 1 no S -1
## 551 12 =6-5-1 0 3 no S -3
## 552 12 =7-1-2 4 0 no S 4
## 553 12 =7-1-4 2 0 no S 2
## 554 12 =7-1-6 0 3 no S -3
## 555 12 =7-2-4 1 0 no S 1
## 556 12 =7-2-5 0 1 no S -1
## 557 12 =7-4-3 0 1 no S -1
## 558 12 =8-1-2 5 0 no S 5
## 559 12 =8-1-3 4 0 no S 4
## 560 12 =8-1-5 2 0 no S 2
## 561 12 =8-1-7 0 5 no S -5
## 562 12 =8-2-5 1 6 no S -5
## 563 12 =8-3-5 0 2 no S -2
## 564 12 =8-4-1 3 0 no S 3
## 565 12 =8-4-3 1 0 no S 1
## 566 12 =8-6-2 0 5 no S -5
## 567 12 =9-1-2 6 3 no S 3
## 568 12 =9-1-8 0 2 no S -2
## 569 12 =9-2-3 4 0 no S 4
## 570 12 =9-2-4 3 0 no S 3
## 571 12 =9-2-6 1 0 no S 1
## 572 12 =9-3-1 5 0 no S 5
## 573 12 =9-4-3 2 1 no S 1
## 574 12 =9-5-1 3 2 no S 1
## 575 12 =9-5-3 1 0 no S 1
## 576 12 =9-5-4 0 2 no S -2
## 577 12 =9-6-1 2 0 no S 2
## 578 12 =9-6-3 0 1 no S -1
## 579 12 =9-7-2 0 4 no S -4
## 580 12 =3-2-1 0 0 yes S 0
## 581 12 =4-1-3 0 0 yes S 0
## 582 12 =5-2-3 0 0 yes S 0
## 583 12 =5-4-1 0 0 yes S 0
## 584 12 =6-1-5 0 0 yes S 0
## 585 12 =6-2-1 3 3 yes S 0
## 586 12 =6-2-3 1 1 yes S 0
## 587 12 =6-2-4 0 0 yes S 0
## 588 12 =6-3-1 2 2 yes S 0
## 589 12 =7-2-1 4 4 yes S 0
## 590 12 =7-3-4 0 0 yes S 0
## 591 12 =7-4-1 2 2 yes S 0
## 592 12 =7-4-2 1 1 yes S 0
## 593 12 =7-5-2 0 0 yes S 0
## 594 12 =7-6-1 0 0 yes S 0
## 595 12 =8-1-4 3 3 yes S 0
## 596 12 =8-2-1 5 5 yes S 0
## 597 12 =8-2-6 0 0 yes S 0
## 598 12 =8-3-1 4 4 yes S 0
## 599 12 =8-3-4 1 1 yes S 0
## 600 12 =8-5-1 2 2 yes S 0
## 601 12 =8-5-2 1 1 yes S 0
## 602 12 =8-5-3 0 0 yes S 0
## 603 12 =8-7-1 0 0 yes S 0
## 604 12 =9-1-3 5 5 yes S 0
## 605 12 =9-1-5 3 3 yes S 0
## 606 12 =9-1-6 2 2 yes S 0
## 607 12 =9-2-1 6 6 yes S 0
## 608 12 =9-2-7 0 0 yes S 0
## 609 12 =9-3-2 4 4 yes S 0
## 610 12 =9-3-4 2 2 yes S 0
## 611 12 =9-3-5 1 1 yes S 0
## 612 12 =9-3-6 0 0 yes S 0
## 613 12 =9-4-2 3 3 yes S 0
## 614 12 =9-4-5 0 0 yes S 0
## 615 12 =9-6-2 1 1 yes S 0
## 616 12 =9-8-1 0 0 yes S 0
## 617 13 =1+2+5 8 9 no A -1
## 618 13 =1+3+5 9 11 no A -2
## 619 13 =1+4+3 8 12 no A -4
## 620 13 =1+6+3 10 12 no A -2
## 621 13 =1+9+2 12 11 no A 1
## 622 13 =1+9+3 13 12 no A 1
## 623 13 =2+1+9 12 11 no A 1
## 624 13 =2+3+6 11 10 no A 1
## 625 13 =2+3+7 12 11 no A 1
## 626 13 =2+5+6 13 9 no A 4
## 627 13 =2+7+1 10 12 no A -2
## 628 13 =2+8+3 13 11 no A 2
## 629 13 =3+1+5 9 12 no A -3
## 630 13 =3+1+7 11 12 no A -1
## 631 13 =3+2+5 10 14 no A -4
## 632 13 =3+4+2 9 10 no A -1
## 633 13 =3+5+4 12 10 no A 2
## 634 13 =3+5+6 14 13 no A 1
## 635 13 =3+6+2 11 12 no A -1
## 636 13 =3+7+2 12 8 no A 4
## 637 13 =4+1+7 12 9 no A 3
## 638 13 =4+1+8 13 10 no A 3
## 639 13 =4+3+2 9 10 no A -1
## 640 13 =4+6+1 11 12 no A -1
## 641 13 =4+6+2 12 13 no A -1
## 642 13 =4+6+3 13 12 no A 1
## 643 13 =5+1+3 9 14 no A -5
## 644 13 =5+1+4 10 11 no A -1
## 645 13 =5+1+6 12 8 no A 4
## 646 13 =5+2+4 11 13 no A -2
## 647 13 =5+4+1 10 12 no A -2
## 648 13 =6+1+2 9 13 no A -4
## 649 13 =6+4+1 11 13 no A -2
## 650 13 =6+5+1 12 13 no A -1
## 651 13 =7+1+3 11 9 no A 2
## 652 13 =7+1+4 12 10 no A 2
## 653 13 =7+1+5 13 9 no A 4
## 654 13 =7+2+1 10 11 no A -1
## 655 13 =8+2+1 11 9 no A 2
## 656 13 =8+2+4 14 11 no A 3
## 657 13 =1+2+9 12 12 yes A 0
## 658 13 =1+3+6 10 10 yes A 0
## 659 13 =1+5+3 9 9 yes A 0
## 660 13 =1+6+2 9 9 yes A 0
## 661 13 =1+7+2 10 10 yes A 0
## 662 13 =2+3+5 10 10 yes A 0
## 663 13 =2+4+5 11 11 yes A 0
## 664 13 =2+6+4 12 12 yes A 0
## 665 13 =2+7+5 14 14 yes A 0
## 666 13 =2+8+1 11 11 yes A 0
## 667 13 =3+1+4 8 8 yes A 0
## 668 13 =3+2+4 9 9 yes A 0
## 669 13 =3+2+6 11 11 yes A 0
## 670 13 =3+7+1 11 11 yes A 0
## 671 13 =4+1+5 10 10 yes A 0
## 672 13 =4+1+6 11 11 yes A 0
## 673 13 =4+2+3 9 9 yes A 0
## 674 13 =4+2+6 12 12 yes A 0
## 675 13 =4+2+7 13 13 yes A 0
## 676 13 =4+5+1 10 10 yes A 0
## 677 13 =4+5+2 11 11 yes A 0
## 678 13 =4+7+1 12 12 yes A 0
## 679 13 =5+1+2 8 8 yes A 0
## 680 13 =5+3+1 9 9 yes A 0
## 681 13 =5+3+2 10 10 yes A 0
## 682 13 =5+3+4 12 12 yes A 0
## 683 13 =6+1+5 12 12 yes A 0
## 684 13 =6+2+1 9 9 yes A 0
## 685 13 =6+2+3 11 11 yes A 0
## 686 13 =6+4+2 12 12 yes A 0
## 687 13 =6+4+3 13 13 yes A 0
## 688 13 =6+5+2 13 13 yes A 0
## 689 13 =7+2+3 12 12 yes A 0
## 690 13 =7+3+1 11 11 yes A 0
## 691 13 =7+3+2 12 12 yes A 0
## 692 13 =7+3+4 14 14 yes A 0
## 693 13 =8+2+3 13 13 yes A 0
## 694 13 =9+1+2 12 12 yes A 0
## 695 13 =9+1+3 13 13 yes A 0
## 696 13 =9+3+1 13 13 yes A 0
## 697 13 =3-1-2 0 4 no S -4
## 698 13 =4-3-1 0 2 no S -2
## 699 13 =5-1-4 0 3 no S -3
## 700 13 =5-3-2 0 1 no S -1
## 701 13 =6-1-2 3 0 no S 3
## 702 13 =6-1-3 2 0 no S 2
## 703 13 =6-3-2 1 4 no S -3
## 704 13 =6-4-2 0 1 no S -1
## 705 13 =6-5-1 0 3 no S -3
## 706 13 =7-1-2 4 0 no S 4
## 707 13 =7-1-4 2 0 no S 2
## 708 13 =7-1-6 0 3 no S -3
## 709 13 =7-2-4 1 0 no S 1
## 710 13 =7-2-5 0 1 no S -1
## 711 13 =7-4-3 0 1 no S -1
## 712 13 =8-1-2 5 0 no S 5
## 713 13 =8-1-3 4 0 no S 4
## 714 13 =8-1-5 2 0 no S 2
## 715 13 =8-1-7 0 5 no S -5
## 716 13 =8-2-5 1 6 no S -5
## 717 13 =8-3-5 0 2 no S -2
## 718 13 =8-4-1 3 0 no S 3
## 719 13 =8-4-3 1 0 no S 1
## 720 13 =8-6-2 0 5 no S -5
## 721 13 =9-1-2 6 3 no S 3
## 722 13 =9-1-8 0 2 no S -2
## 723 13 =9-2-3 4 0 no S 4
## 724 13 =9-2-4 3 0 no S 3
## 725 13 =9-2-6 1 0 no S 1
## 726 13 =9-3-1 5 0 no S 5
## 727 13 =9-4-3 2 1 no S 1
## 728 13 =9-5-1 3 2 no S 1
## 729 13 =9-5-3 1 0 no S 1
## 730 13 =9-5-4 0 2 no S -2
## 731 13 =9-6-1 2 0 no S 2
## 732 13 =9-6-3 0 1 no S -1
## 733 13 =9-7-2 0 4 no S -4
## 734 13 =3-2-1 0 0 yes S 0
## 735 13 =4-1-3 0 0 yes S 0
## 736 13 =5-2-3 0 0 yes S 0
## 737 13 =5-4-1 0 0 yes S 0
## 738 13 =6-1-5 0 0 yes S 0
## 739 13 =6-2-1 3 3 yes S 0
## 740 13 =6-2-3 1 1 yes S 0
## 741 13 =6-2-4 0 0 yes S 0
## 742 13 =6-3-1 2 2 yes S 0
## 743 13 =7-2-1 4 4 yes S 0
## 744 13 =7-3-4 0 0 yes S 0
## 745 13 =7-4-1 2 2 yes S 0
## 746 13 =7-4-2 1 1 yes S 0
## 747 13 =7-5-2 0 0 yes S 0
## 748 13 =7-6-1 0 0 yes S 0
## 749 13 =8-1-4 3 3 yes S 0
## 750 13 =8-2-1 5 5 yes S 0
## 751 13 =8-2-6 0 0 yes S 0
## 752 13 =8-3-1 4 4 yes S 0
## 753 13 =8-3-4 1 1 yes S 0
## 754 13 =8-5-1 2 2 yes S 0
## 755 13 =8-5-2 1 1 yes S 0
## 756 13 =8-5-3 0 0 yes S 0
## 757 13 =8-7-1 0 0 yes S 0
## 758 13 =9-1-3 5 5 yes S 0
## 759 13 =9-1-5 3 3 yes S 0
## 760 13 =9-1-6 2 2 yes S 0
## 761 13 =9-2-1 6 6 yes S 0
## 762 13 =9-2-7 0 0 yes S 0
## 763 13 =9-3-2 4 4 yes S 0
## 764 13 =9-3-4 2 2 yes S 0
## 765 13 =9-3-5 1 1 yes S 0
## 766 13 =9-3-6 0 0 yes S 0
## 767 13 =9-4-2 3 3 yes S 0
## 768 13 =9-4-5 0 0 yes S 0
## 769 13 =9-6-2 1 1 yes S 0
## 770 13 =9-8-1 0 0 yes S 0
## 771 14 =1+2+5 8 9 no A -1
## 772 14 =1+3+5 9 11 no A -2
## 773 14 =1+4+3 8 12 no A -4
## 774 14 =1+6+3 10 12 no A -2
## 775 14 =1+9+2 12 11 no A 1
## 776 14 =1+9+3 13 12 no A 1
## 777 14 =2+1+9 12 11 no A 1
## 778 14 =2+3+6 11 10 no A 1
## 779 14 =2+3+7 12 11 no A 1
## 780 14 =2+5+6 13 9 no A 4
## 781 14 =2+7+1 10 12 no A -2
## 782 14 =2+8+3 13 11 no A 2
## 783 14 =3+1+5 9 12 no A -3
## 784 14 =3+1+7 11 12 no A -1
## 785 14 =3+2+5 10 14 no A -4
## 786 14 =3+4+2 9 10 no A -1
## 787 14 =3+5+4 12 10 no A 2
## 788 14 =3+5+6 14 13 no A 1
## 789 14 =3+6+2 11 12 no A -1
## 790 14 =3+7+2 12 8 no A 4
## 791 14 =4+1+7 12 9 no A 3
## 792 14 =4+1+8 13 10 no A 3
## 793 14 =4+3+2 9 10 no A -1
## 794 14 =4+6+1 11 12 no A -1
## 795 14 =4+6+2 12 13 no A -1
## 796 14 =4+6+3 13 12 no A 1
## 797 14 =5+1+3 9 14 no A -5
## 798 14 =5+1+4 10 11 no A -1
## 799 14 =5+1+6 12 8 no A 4
## 800 14 =5+2+4 11 13 no A -2
## 801 14 =5+4+1 10 12 no A -2
## 802 14 =6+1+2 9 13 no A -4
## 803 14 =6+4+1 11 13 no A -2
## 804 14 =6+5+1 12 13 no A -1
## 805 14 =7+1+3 11 9 no A 2
## 806 14 =7+1+4 12 10 no A 2
## 807 14 =7+1+5 13 9 no A 4
## 808 14 =7+2+1 10 11 no A -1
## 809 14 =8+2+1 11 9 no A 2
## 810 14 =8+2+4 14 11 no A 3
## 811 14 =1+2+9 12 12 yes A 0
## 812 14 =1+3+6 10 10 yes A 0
## 813 14 =1+5+3 9 9 yes A 0
## 814 14 =1+6+2 9 9 yes A 0
## 815 14 =1+7+2 10 10 yes A 0
## 816 14 =2+3+5 10 10 yes A 0
## 817 14 =2+4+5 11 11 yes A 0
## 818 14 =2+6+4 12 12 yes A 0
## 819 14 =2+7+5 14 14 yes A 0
## 820 14 =2+8+1 11 11 yes A 0
## 821 14 =3+1+4 8 8 yes A 0
## 822 14 =3+2+4 9 9 yes A 0
## 823 14 =3+2+6 11 11 yes A 0
## 824 14 =3+7+1 11 11 yes A 0
## 825 14 =4+1+5 10 10 yes A 0
## 826 14 =4+1+6 11 11 yes A 0
## 827 14 =4+2+3 9 9 yes A 0
## 828 14 =4+2+6 12 12 yes A 0
## 829 14 =4+2+7 13 13 yes A 0
## 830 14 =4+5+1 10 10 yes A 0
## 831 14 =4+5+2 11 11 yes A 0
## 832 14 =4+7+1 12 12 yes A 0
## 833 14 =5+1+2 8 8 yes A 0
## 834 14 =5+3+1 9 9 yes A 0
## 835 14 =5+3+2 10 10 yes A 0
## 836 14 =5+3+4 12 12 yes A 0
## 837 14 =6+1+5 12 12 yes A 0
## 838 14 =6+2+1 9 9 yes A 0
## 839 14 =6+2+3 11 11 yes A 0
## 840 14 =6+4+2 12 12 yes A 0
## 841 14 =6+4+3 13 13 yes A 0
## 842 14 =6+5+2 13 13 yes A 0
## 843 14 =7+2+3 12 12 yes A 0
## 844 14 =7+3+1 11 11 yes A 0
## 845 14 =7+3+2 12 12 yes A 0
## 846 14 =7+3+4 14 14 yes A 0
## 847 14 =8+2+3 13 13 yes A 0
## 848 14 =9+1+2 12 12 yes A 0
## 849 14 =9+1+3 13 13 yes A 0
## 850 14 =9+3+1 13 13 yes A 0
## 851 14 =3-1-2 0 4 no S -4
## 852 14 =4-3-1 0 2 no S -2
## 853 14 =5-1-4 0 3 no S -3
## 854 14 =5-3-2 0 1 no S -1
## 855 14 =6-1-2 3 0 no S 3
## 856 14 =6-1-3 2 0 no S 2
## 857 14 =6-3-2 1 4 no S -3
## 858 14 =6-4-2 0 1 no S -1
## 859 14 =6-5-1 0 3 no S -3
## 860 14 =7-1-2 4 0 no S 4
## 861 14 =7-1-4 2 0 no S 2
## 862 14 =7-1-6 0 3 no S -3
## 863 14 =7-2-4 1 0 no S 1
## 864 14 =7-2-5 0 1 no S -1
## 865 14 =7-4-3 0 1 no S -1
## 866 14 =8-1-2 5 0 no S 5
## 867 14 =8-1-3 4 0 no S 4
## 868 14 =8-1-5 2 0 no S 2
## 869 14 =8-1-7 0 5 no S -5
## 870 14 =8-2-5 1 6 no S -5
## 871 14 =8-3-5 0 2 no S -2
## 872 14 =8-4-1 3 0 no S 3
## 873 14 =8-4-3 1 0 no S 1
## 874 14 =8-6-2 0 5 no S -5
## 875 14 =9-1-2 6 3 no S 3
## 876 14 =9-1-8 0 2 no S -2
## 877 14 =9-2-3 4 0 no S 4
## 878 14 =9-2-4 3 0 no S 3
## 879 14 =9-2-6 1 0 no S 1
## 880 14 =9-3-1 5 0 no S 5
## 881 14 =9-4-3 2 1 no S 1
## 882 14 =9-5-1 3 2 no S 1
## 883 14 =9-5-3 1 0 no S 1
## 884 14 =9-5-4 0 2 no S -2
## 885 14 =9-6-1 2 0 no S 2
## 886 14 =9-6-3 0 1 no S -1
## 887 14 =9-7-2 0 4 no S -4
## 888 14 =3-2-1 0 0 yes S 0
## 889 14 =4-1-3 0 0 yes S 0
## 890 14 =5-2-3 0 0 yes S 0
## 891 14 =5-4-1 0 0 yes S 0
## 892 14 =6-1-5 0 0 yes S 0
## 893 14 =6-2-1 3 3 yes S 0
## 894 14 =6-2-3 1 1 yes S 0
## 895 14 =6-2-4 0 0 yes S 0
## 896 14 =6-3-1 2 2 yes S 0
## 897 14 =7-2-1 4 4 yes S 0
## 898 14 =7-3-4 0 0 yes S 0
## 899 14 =7-4-1 2 2 yes S 0
## 900 14 =7-4-2 1 1 yes S 0
## 901 14 =7-5-2 0 0 yes S 0
## 902 14 =7-6-1 0 0 yes S 0
## 903 14 =8-1-4 3 3 yes S 0
## 904 14 =8-2-1 5 5 yes S 0
## 905 14 =8-2-6 0 0 yes S 0
## 906 14 =8-3-1 4 4 yes S 0
## 907 14 =8-3-4 1 1 yes S 0
## 908 14 =8-5-1 2 2 yes S 0
## 909 14 =8-5-2 1 1 yes S 0
## 910 14 =8-5-3 0 0 yes S 0
## 911 14 =8-7-1 0 0 yes S 0
## 912 14 =9-1-3 5 5 yes S 0
## 913 14 =9-1-5 3 3 yes S 0
## 914 14 =9-1-6 2 2 yes S 0
## 915 14 =9-2-1 6 6 yes S 0
## 916 14 =9-2-7 0 0 yes S 0
## 917 14 =9-3-2 4 4 yes S 0
## 918 14 =9-3-4 2 2 yes S 0
## 919 14 =9-3-5 1 1 yes S 0
## 920 14 =9-3-6 0 0 yes S 0
## 921 14 =9-4-2 3 3 yes S 0
## 922 14 =9-4-5 0 0 yes S 0
## 923 14 =9-6-2 1 1 yes S 0
## 924 14 =9-8-1 0 0 yes S 0
## 925 15 =1+2+5 8 9 no A -1
## 926 15 =1+3+5 9 11 no A -2
## 927 15 =1+4+3 8 12 no A -4
## 928 15 =1+6+3 10 12 no A -2
## 929 15 =1+9+2 12 11 no A 1
## 930 15 =1+9+3 13 12 no A 1
## 931 15 =2+1+9 12 11 no A 1
## 932 15 =2+3+6 11 10 no A 1
## 933 15 =2+3+7 12 11 no A 1
## 934 15 =2+5+6 13 9 no A 4
## 935 15 =2+7+1 10 12 no A -2
## 936 15 =2+8+3 13 11 no A 2
## 937 15 =3+1+5 9 12 no A -3
## 938 15 =3+1+7 11 12 no A -1
## 939 15 =3+2+5 10 14 no A -4
## 940 15 =3+4+2 9 10 no A -1
## 941 15 =3+5+4 12 10 no A 2
## 942 15 =3+5+6 14 13 no A 1
## 943 15 =3+6+2 11 12 no A -1
## 944 15 =3+7+2 12 8 no A 4
## 945 15 =4+1+7 12 9 no A 3
## 946 15 =4+1+8 13 10 no A 3
## 947 15 =4+3+2 9 10 no A -1
## 948 15 =4+6+1 11 12 no A -1
## 949 15 =4+6+2 12 13 no A -1
## 950 15 =4+6+3 13 12 no A 1
## 951 15 =5+1+3 9 14 no A -5
## 952 15 =5+1+4 10 11 no A -1
## 953 15 =5+1+6 12 8 no A 4
## 954 15 =5+2+4 11 13 no A -2
## 955 15 =5+4+1 10 12 no A -2
## 956 15 =6+1+2 9 13 no A -4
## 957 15 =6+4+1 11 13 no A -2
## 958 15 =6+5+1 12 13 no A -1
## 959 15 =7+1+3 11 9 no A 2
## 960 15 =7+1+4 12 10 no A 2
## 961 15 =7+1+5 13 9 no A 4
## 962 15 =7+2+1 10 11 no A -1
## 963 15 =8+2+1 11 9 no A 2
## 964 15 =8+2+4 14 11 no A 3
## 965 15 =1+2+9 12 12 yes A 0
## 966 15 =1+3+6 10 10 yes A 0
## 967 15 =1+5+3 9 9 yes A 0
## 968 15 =1+6+2 9 9 yes A 0
## 969 15 =1+7+2 10 10 yes A 0
## 970 15 =2+3+5 10 10 yes A 0
## 971 15 =2+4+5 11 11 yes A 0
## 972 15 =2+6+4 12 12 yes A 0
## 973 15 =2+7+5 14 14 yes A 0
## 974 15 =2+8+1 11 11 yes A 0
## 975 15 =3+1+4 8 8 yes A 0
## 976 15 =3+2+4 9 9 yes A 0
## 977 15 =3+2+6 11 11 yes A 0
## 978 15 =3+7+1 11 11 yes A 0
## 979 15 =4+1+5 10 10 yes A 0
## 980 15 =4+1+6 11 11 yes A 0
## 981 15 =4+2+3 9 9 yes A 0
## 982 15 =4+2+6 12 12 yes A 0
## 983 15 =4+2+7 13 13 yes A 0
## 984 15 =4+5+1 10 10 yes A 0
## 985 15 =4+5+2 11 11 yes A 0
## 986 15 =4+7+1 12 12 yes A 0
## 987 15 =5+1+2 8 8 yes A 0
## 988 15 =5+3+1 9 9 yes A 0
## 989 15 =5+3+2 10 10 yes A 0
## 990 15 =5+3+4 12 12 yes A 0
## 991 15 =6+1+5 12 12 yes A 0
## 992 15 =6+2+1 9 9 yes A 0
## 993 15 =6+2+3 11 11 yes A 0
## 994 15 =6+4+2 12 12 yes A 0
## 995 15 =6+4+3 13 13 yes A 0
## 996 15 =6+5+2 13 13 yes A 0
## 997 15 =7+2+3 12 12 yes A 0
## 998 15 =7+3+1 11 11 yes A 0
## 999 15 =7+3+2 12 12 yes A 0
## 1000 15 =7+3+4 14 14 yes A 0
## 1001 15 =8+2+3 13 13 yes A 0
## 1002 15 =9+1+2 12 12 yes A 0
## 1003 15 =9+1+3 13 13 yes A 0
## 1004 15 =9+3+1 13 13 yes A 0
## 1005 15 =3-1-2 0 4 no S -4
## 1006 15 =4-3-1 0 2 no S -2
## 1007 15 =5-1-4 0 3 no S -3
## 1008 15 =5-3-2 0 1 no S -1
## 1009 15 =6-1-2 3 0 no S 3
## 1010 15 =6-1-3 2 0 no S 2
## 1011 15 =6-3-2 1 4 no S -3
## 1012 15 =6-4-2 0 1 no S -1
## 1013 15 =6-5-1 0 3 no S -3
## 1014 15 =7-1-2 4 0 no S 4
## 1015 15 =7-1-4 2 0 no S 2
## 1016 15 =7-1-6 0 3 no S -3
## 1017 15 =7-2-4 1 0 no S 1
## 1018 15 =7-2-5 0 1 no S -1
## 1019 15 =7-4-3 0 1 no S -1
## 1020 15 =8-1-2 5 0 no S 5
## 1021 15 =8-1-3 4 0 no S 4
## 1022 15 =8-1-5 2 0 no S 2
## 1023 15 =8-1-7 0 5 no S -5
## 1024 15 =8-2-5 1 6 no S -5
## 1025 15 =8-3-5 0 2 no S -2
## 1026 15 =8-4-1 3 0 no S 3
## 1027 15 =8-4-3 1 0 no S 1
## 1028 15 =8-6-2 0 5 no S -5
## 1029 15 =9-1-2 6 3 no S 3
## 1030 15 =9-1-8 0 2 no S -2
## 1031 15 =9-2-3 4 0 no S 4
## 1032 15 =9-2-4 3 0 no S 3
## 1033 15 =9-2-6 1 0 no S 1
## 1034 15 =9-3-1 5 0 no S 5
## 1035 15 =9-4-3 2 1 no S 1
## 1036 15 =9-5-1 3 2 no S 1
## 1037 15 =9-5-3 1 0 no S 1
## 1038 15 =9-5-4 0 2 no S -2
## 1039 15 =9-6-1 2 0 no S 2
## 1040 15 =9-6-3 0 1 no S -1
## 1041 15 =9-7-2 0 4 no S -4
## 1042 15 =3-2-1 0 0 yes S 0
## 1043 15 =4-1-3 0 0 yes S 0
## 1044 15 =5-2-3 0 0 yes S 0
## 1045 15 =5-4-1 0 0 yes S 0
## 1046 15 =6-1-5 0 0 yes S 0
## 1047 15 =6-2-1 3 3 yes S 0
## 1048 15 =6-2-3 1 1 yes S 0
## 1049 15 =6-2-4 0 0 yes S 0
## 1050 15 =6-3-1 2 2 yes S 0
## 1051 15 =7-2-1 4 4 yes S 0
## 1052 15 =7-3-4 0 0 yes S 0
## 1053 15 =7-4-1 2 2 yes S 0
## 1054 15 =7-4-2 1 1 yes S 0
## 1055 15 =7-5-2 0 0 yes S 0
## 1056 15 =7-6-1 0 0 yes S 0
## 1057 15 =8-1-4 3 3 yes S 0
## 1058 15 =8-2-1 5 5 yes S 0
## 1059 15 =8-2-6 0 0 yes S 0
## 1060 15 =8-3-1 4 4 yes S 0
## 1061 15 =8-3-4 1 1 yes S 0
## 1062 15 =8-5-1 2 2 yes S 0
## 1063 15 =8-5-2 1 1 yes S 0
## 1064 15 =8-5-3 0 0 yes S 0
## 1065 15 =8-7-1 0 0 yes S 0
## 1066 15 =9-1-3 5 5 yes S 0
## 1067 15 =9-1-5 3 3 yes S 0
## 1068 15 =9-1-6 2 2 yes S 0
## 1069 15 =9-2-1 6 6 yes S 0
## 1070 15 =9-2-7 0 0 yes S 0
## 1071 15 =9-3-2 4 4 yes S 0
## 1072 15 =9-3-4 2 2 yes S 0
## 1073 15 =9-3-5 1 1 yes S 0
## 1074 15 =9-3-6 0 0 yes S 0
## 1075 15 =9-4-2 3 3 yes S 0
## 1076 15 =9-4-5 0 0 yes S 0
## 1077 15 =9-6-2 1 1 yes S 0
## 1078 15 =9-8-1 0 0 yes S 0
## 1079 16 =1+2+5 8 9 no A -1
## 1080 16 =1+3+5 9 11 no A -2
## 1081 16 =1+4+3 8 12 no A -4
## 1082 16 =1+6+3 10 12 no A -2
## 1083 16 =1+9+2 12 11 no A 1
## 1084 16 =1+9+3 13 12 no A 1
## 1085 16 =2+1+9 12 11 no A 1
## 1086 16 =2+3+6 11 10 no A 1
## 1087 16 =2+3+7 12 11 no A 1
## 1088 16 =2+5+6 13 9 no A 4
## 1089 16 =2+7+1 10 12 no A -2
## 1090 16 =2+8+3 13 11 no A 2
## 1091 16 =3+1+5 9 12 no A -3
## 1092 16 =3+1+7 11 12 no A -1
## 1093 16 =3+2+5 10 14 no A -4
## 1094 16 =3+4+2 9 10 no A -1
## 1095 16 =3+5+4 12 10 no A 2
## 1096 16 =3+5+6 14 13 no A 1
## 1097 16 =3+6+2 11 12 no A -1
## 1098 16 =3+7+2 12 8 no A 4
## 1099 16 =4+1+7 12 9 no A 3
## 1100 16 =4+1+8 13 10 no A 3
## 1101 16 =4+3+2 9 10 no A -1
## 1102 16 =4+6+1 11 12 no A -1
## 1103 16 =4+6+2 12 13 no A -1
## 1104 16 =4+6+3 13 12 no A 1
## 1105 16 =5+1+3 9 14 no A -5
## 1106 16 =5+1+4 10 11 no A -1
## 1107 16 =5+1+6 12 8 no A 4
## 1108 16 =5+2+4 11 13 no A -2
## 1109 16 =5+4+1 10 12 no A -2
## 1110 16 =6+1+2 9 13 no A -4
## 1111 16 =6+4+1 11 13 no A -2
## 1112 16 =6+5+1 12 13 no A -1
## 1113 16 =7+1+3 11 9 no A 2
## 1114 16 =7+1+4 12 10 no A 2
## 1115 16 =7+1+5 13 9 no A 4
## 1116 16 =7+2+1 10 11 no A -1
## 1117 16 =8+2+1 11 9 no A 2
## 1118 16 =8+2+4 14 11 no A 3
## 1119 16 =1+2+9 12 12 yes A 0
## 1120 16 =1+3+6 10 10 yes A 0
## 1121 16 =1+5+3 9 9 yes A 0
## 1122 16 =1+6+2 9 9 yes A 0
## 1123 16 =1+7+2 10 10 yes A 0
## 1124 16 =2+3+5 10 10 yes A 0
## 1125 16 =2+4+5 11 11 yes A 0
## 1126 16 =2+6+4 12 12 yes A 0
## 1127 16 =2+7+5 14 14 yes A 0
## 1128 16 =2+8+1 11 11 yes A 0
## 1129 16 =3+1+4 8 8 yes A 0
## 1130 16 =3+2+4 9 9 yes A 0
## 1131 16 =3+2+6 11 11 yes A 0
## 1132 16 =3+7+1 11 11 yes A 0
## 1133 16 =4+1+5 10 10 yes A 0
## 1134 16 =4+1+6 11 11 yes A 0
## 1135 16 =4+2+3 9 9 yes A 0
## 1136 16 =4+2+6 12 12 yes A 0
## 1137 16 =4+2+7 13 13 yes A 0
## 1138 16 =4+5+1 10 10 yes A 0
## 1139 16 =4+5+2 11 11 yes A 0
## 1140 16 =4+7+1 12 12 yes A 0
## 1141 16 =5+1+2 8 8 yes A 0
## 1142 16 =5+3+1 9 9 yes A 0
## 1143 16 =5+3+2 10 10 yes A 0
## 1144 16 =5+3+4 12 12 yes A 0
## 1145 16 =6+1+5 12 12 yes A 0
## 1146 16 =6+2+1 9 9 yes A 0
## 1147 16 =6+2+3 11 11 yes A 0
## 1148 16 =6+4+2 12 12 yes A 0
## 1149 16 =6+4+3 13 13 yes A 0
## 1150 16 =6+5+2 13 13 yes A 0
## 1151 16 =7+2+3 12 12 yes A 0
## 1152 16 =7+3+1 11 11 yes A 0
## 1153 16 =7+3+2 12 12 yes A 0
## 1154 16 =7+3+4 14 14 yes A 0
## 1155 16 =8+2+3 13 13 yes A 0
## 1156 16 =9+1+2 12 12 yes A 0
## 1157 16 =9+1+3 13 13 yes A 0
## 1158 16 =9+3+1 13 13 yes A 0
## 1159 16 =3-1-2 0 4 no S -4
## 1160 16 =4-3-1 0 2 no S -2
## 1161 16 =5-1-4 0 3 no S -3
## 1162 16 =5-3-2 0 1 no S -1
## 1163 16 =6-1-2 3 0 no S 3
## 1164 16 =6-1-3 2 0 no S 2
## 1165 16 =6-3-2 1 4 no S -3
## 1166 16 =6-4-2 0 1 no S -1
## 1167 16 =6-5-1 0 3 no S -3
## 1168 16 =7-1-2 4 0 no S 4
## 1169 16 =7-1-4 2 0 no S 2
## 1170 16 =7-1-6 0 3 no S -3
## 1171 16 =7-2-4 1 0 no S 1
## 1172 16 =7-2-5 0 1 no S -1
## 1173 16 =7-4-3 0 1 no S -1
## 1174 16 =8-1-2 5 0 no S 5
## 1175 16 =8-1-3 4 0 no S 4
## 1176 16 =8-1-5 2 0 no S 2
## 1177 16 =8-1-7 0 5 no S -5
## 1178 16 =8-2-5 1 6 no S -5
## 1179 16 =8-3-5 0 2 no S -2
## 1180 16 =8-4-1 3 0 no S 3
## 1181 16 =8-4-3 1 0 no S 1
## 1182 16 =8-6-2 0 5 no S -5
## 1183 16 =9-1-2 6 3 no S 3
## 1184 16 =9-1-8 0 2 no S -2
## 1185 16 =9-2-3 4 0 no S 4
## 1186 16 =9-2-4 3 0 no S 3
## 1187 16 =9-2-6 1 0 no S 1
## 1188 16 =9-3-1 5 0 no S 5
## 1189 16 =9-4-3 2 1 no S 1
## 1190 16 =9-5-1 3 2 no S 1
## 1191 16 =9-5-3 1 0 no S 1
## 1192 16 =9-5-4 0 2 no S -2
## 1193 16 =9-6-1 2 0 no S 2
## 1194 16 =9-6-3 0 1 no S -1
## 1195 16 =9-7-2 0 4 no S -4
## 1196 16 =3-2-1 0 0 yes S 0
## 1197 16 =4-1-3 0 0 yes S 0
## 1198 16 =5-2-3 0 0 yes S 0
## 1199 16 =5-4-1 0 0 yes S 0
## 1200 16 =6-1-5 0 0 yes S 0
## 1201 16 =6-2-1 3 3 yes S 0
## 1202 16 =6-2-3 1 1 yes S 0
## 1203 16 =6-2-4 0 0 yes S 0
## 1204 16 =6-3-1 2 2 yes S 0
## 1205 16 =7-2-1 4 4 yes S 0
## 1206 16 =7-3-4 0 0 yes S 0
## 1207 16 =7-4-1 2 2 yes S 0
## 1208 16 =7-4-2 1 1 yes S 0
## 1209 16 =7-5-2 0 0 yes S 0
## 1210 16 =7-6-1 0 0 yes S 0
## 1211 16 =8-1-4 3 3 yes S 0
## 1212 16 =8-2-1 5 5 yes S 0
## 1213 16 =8-2-6 0 0 yes S 0
## 1214 16 =8-3-1 4 4 yes S 0
## 1215 16 =8-3-4 1 1 yes S 0
## 1216 16 =8-5-1 2 2 yes S 0
## 1217 16 =8-5-2 1 1 yes S 0
## 1218 16 =8-5-3 0 0 yes S 0
## 1219 16 =8-7-1 0 0 yes S 0
## 1220 16 =9-1-3 5 5 yes S 0
## 1221 16 =9-1-5 3 3 yes S 0
## 1222 16 =9-1-6 2 2 yes S 0
## 1223 16 =9-2-1 6 6 yes S 0
## 1224 16 =9-2-7 0 0 yes S 0
## 1225 16 =9-3-2 4 4 yes S 0
## 1226 16 =9-3-4 2 2 yes S 0
## 1227 16 =9-3-5 1 1 yes S 0
## 1228 16 =9-3-6 0 0 yes S 0
## 1229 16 =9-4-2 3 3 yes S 0
## 1230 16 =9-4-5 0 0 yes S 0
## 1231 16 =9-6-2 1 1 yes S 0
## 1232 16 =9-8-1 0 0 yes S 0
## 1233 17 =1+2+5 8 9 no A -1
## 1234 17 =1+3+5 9 11 no A -2
## 1235 17 =1+4+3 8 12 no A -4
## 1236 17 =1+6+3 10 12 no A -2
## 1237 17 =1+9+2 12 11 no A 1
## 1238 17 =1+9+3 13 12 no A 1
## 1239 17 =2+1+9 12 11 no A 1
## 1240 17 =2+3+6 11 10 no A 1
## 1241 17 =2+3+7 12 11 no A 1
## 1242 17 =2+5+6 13 9 no A 4
## 1243 17 =2+7+1 10 12 no A -2
## 1244 17 =2+8+3 13 11 no A 2
## 1245 17 =3+1+5 9 12 no A -3
## 1246 17 =3+1+7 11 12 no A -1
## 1247 17 =3+2+5 10 14 no A -4
## 1248 17 =3+4+2 9 10 no A -1
## 1249 17 =3+5+4 12 10 no A 2
## 1250 17 =3+5+6 14 13 no A 1
## 1251 17 =3+6+2 11 12 no A -1
## 1252 17 =3+7+2 12 8 no A 4
## 1253 17 =4+1+7 12 9 no A 3
## 1254 17 =4+1+8 13 10 no A 3
## 1255 17 =4+3+2 9 10 no A -1
## 1256 17 =4+6+1 11 12 no A -1
## 1257 17 =4+6+2 12 13 no A -1
## 1258 17 =4+6+3 13 12 no A 1
## 1259 17 =5+1+3 9 14 no A -5
## 1260 17 =5+1+4 10 11 no A -1
## 1261 17 =5+1+6 12 8 no A 4
## 1262 17 =5+2+4 11 13 no A -2
## 1263 17 =5+4+1 10 12 no A -2
## 1264 17 =6+1+2 9 13 no A -4
## 1265 17 =6+4+1 11 13 no A -2
## 1266 17 =6+5+1 12 13 no A -1
## 1267 17 =7+1+3 11 9 no A 2
## 1268 17 =7+1+4 12 10 no A 2
## 1269 17 =7+1+5 13 9 no A 4
## 1270 17 =7+2+1 10 11 no A -1
## 1271 17 =8+2+1 11 9 no A 2
## 1272 17 =8+2+4 14 11 no A 3
## 1273 17 =1+2+9 12 12 yes A 0
## 1274 17 =1+3+6 10 10 yes A 0
## 1275 17 =1+5+3 9 9 yes A 0
## 1276 17 =1+6+2 9 9 yes A 0
## 1277 17 =1+7+2 10 10 yes A 0
## 1278 17 =2+3+5 10 10 yes A 0
## 1279 17 =2+4+5 11 11 yes A 0
## 1280 17 =2+6+4 12 12 yes A 0
## 1281 17 =2+7+5 14 14 yes A 0
## 1282 17 =2+8+1 11 11 yes A 0
## 1283 17 =3+1+4 8 8 yes A 0
## 1284 17 =3+2+4 9 9 yes A 0
## 1285 17 =3+2+6 11 11 yes A 0
## 1286 17 =3+7+1 11 11 yes A 0
## 1287 17 =4+1+5 10 10 yes A 0
## 1288 17 =4+1+6 11 11 yes A 0
## 1289 17 =4+2+3 9 9 yes A 0
## 1290 17 =4+2+6 12 12 yes A 0
## 1291 17 =4+2+7 13 13 yes A 0
## 1292 17 =4+5+1 10 10 yes A 0
## 1293 17 =4+5+2 11 11 yes A 0
## 1294 17 =4+7+1 12 12 yes A 0
## 1295 17 =5+1+2 8 8 yes A 0
## 1296 17 =5+3+1 9 9 yes A 0
## 1297 17 =5+3+2 10 10 yes A 0
## 1298 17 =5+3+4 12 12 yes A 0
## 1299 17 =6+1+5 12 12 yes A 0
## 1300 17 =6+2+1 9 9 yes A 0
## 1301 17 =6+2+3 11 11 yes A 0
## 1302 17 =6+4+2 12 12 yes A 0
## 1303 17 =6+4+3 13 13 yes A 0
## 1304 17 =6+5+2 13 13 yes A 0
## 1305 17 =7+2+3 12 12 yes A 0
## 1306 17 =7+3+1 11 11 yes A 0
## 1307 17 =7+3+2 12 12 yes A 0
## 1308 17 =7+3+4 14 14 yes A 0
## 1309 17 =8+2+3 13 13 yes A 0
## 1310 17 =9+1+2 12 12 yes A 0
## 1311 17 =9+1+3 13 13 yes A 0
## 1312 17 =9+3+1 13 13 yes A 0
## 1313 17 =3-1-2 0 4 no S -4
## 1314 17 =4-3-1 0 2 no S -2
## 1315 17 =5-1-4 0 3 no S -3
## 1316 17 =5-3-2 0 1 no S -1
## 1317 17 =6-1-2 3 0 no S 3
## 1318 17 =6-1-3 2 0 no S 2
## 1319 17 =6-3-2 1 4 no S -3
## 1320 17 =6-4-2 0 1 no S -1
## 1321 17 =6-5-1 0 3 no S -3
## 1322 17 =7-1-2 4 0 no S 4
## 1323 17 =7-1-4 2 0 no S 2
## 1324 17 =7-1-6 0 3 no S -3
## 1325 17 =7-2-4 1 0 no S 1
## 1326 17 =7-2-5 0 1 no S -1
## 1327 17 =7-4-3 0 1 no S -1
## 1328 17 =8-1-2 5 0 no S 5
## 1329 17 =8-1-3 4 0 no S 4
## 1330 17 =8-1-5 2 0 no S 2
## 1331 17 =8-1-7 0 5 no S -5
## 1332 17 =8-2-5 1 6 no S -5
## 1333 17 =8-3-5 0 2 no S -2
## 1334 17 =8-4-1 3 0 no S 3
## 1335 17 =8-4-3 1 0 no S 1
## 1336 17 =8-6-2 0 5 no S -5
## 1337 17 =9-1-2 6 3 no S 3
## 1338 17 =9-1-8 0 2 no S -2
## 1339 17 =9-2-3 4 0 no S 4
## 1340 17 =9-2-4 3 0 no S 3
## 1341 17 =9-2-6 1 0 no S 1
## 1342 17 =9-3-1 5 0 no S 5
## 1343 17 =9-4-3 2 1 no S 1
## 1344 17 =9-5-1 3 2 no S 1
## 1345 17 =9-5-3 1 0 no S 1
## 1346 17 =9-5-4 0 2 no S -2
## 1347 17 =9-6-1 2 0 no S 2
## 1348 17 =9-6-3 0 1 no S -1
## 1349 17 =9-7-2 0 4 no S -4
## 1350 17 =3-2-1 0 0 yes S 0
## 1351 17 =4-1-3 0 0 yes S 0
## 1352 17 =5-2-3 0 0 yes S 0
## 1353 17 =5-4-1 0 0 yes S 0
## 1354 17 =6-1-5 0 0 yes S 0
## 1355 17 =6-2-1 3 3 yes S 0
## 1356 17 =6-2-3 1 1 yes S 0
## 1357 17 =6-2-4 0 0 yes S 0
## 1358 17 =6-3-1 2 2 yes S 0
## 1359 17 =7-2-1 4 4 yes S 0
## 1360 17 =7-3-4 0 0 yes S 0
## 1361 17 =7-4-1 2 2 yes S 0
## 1362 17 =7-4-2 1 1 yes S 0
## 1363 17 =7-5-2 0 0 yes S 0
## 1364 17 =7-6-1 0 0 yes S 0
## 1365 17 =8-1-4 3 3 yes S 0
## 1366 17 =8-2-1 5 5 yes S 0
## 1367 17 =8-2-6 0 0 yes S 0
## 1368 17 =8-3-1 4 4 yes S 0
## 1369 17 =8-3-4 1 1 yes S 0
## 1370 17 =8-5-1 2 2 yes S 0
## 1371 17 =8-5-2 1 1 yes S 0
## 1372 17 =8-5-3 0 0 yes S 0
## 1373 17 =8-7-1 0 0 yes S 0
## 1374 17 =9-1-3 5 5 yes S 0
## 1375 17 =9-1-5 3 3 yes S 0
## 1376 17 =9-1-6 2 2 yes S 0
## 1377 17 =9-2-1 6 6 yes S 0
## 1378 17 =9-2-7 0 0 yes S 0
## 1379 17 =9-3-2 4 4 yes S 0
## 1380 17 =9-3-4 2 2 yes S 0
## 1381 17 =9-3-5 1 1 yes S 0
## 1382 17 =9-3-6 0 0 yes S 0
## 1383 17 =9-4-2 3 3 yes S 0
## 1384 17 =9-4-5 0 0 yes S 0
## 1385 17 =9-6-2 1 1 yes S 0
## 1386 17 =9-8-1 0 0 yes S 0
## 1387 18 =1+2+5 8 9 no A -1
## 1388 18 =1+3+5 9 11 no A -2
## 1389 18 =1+4+3 8 12 no A -4
## 1390 18 =1+6+3 10 12 no A -2
## 1391 18 =1+9+2 12 11 no A 1
## 1392 18 =1+9+3 13 12 no A 1
## 1393 18 =2+1+9 12 11 no A 1
## 1394 18 =2+3+6 11 10 no A 1
## 1395 18 =2+3+7 12 11 no A 1
## 1396 18 =2+5+6 13 9 no A 4
## 1397 18 =2+7+1 10 12 no A -2
## 1398 18 =2+8+3 13 11 no A 2
## 1399 18 =3+1+5 9 12 no A -3
## 1400 18 =3+1+7 11 12 no A -1
## 1401 18 =3+2+5 10 14 no A -4
## 1402 18 =3+4+2 9 10 no A -1
## 1403 18 =3+5+4 12 10 no A 2
## 1404 18 =3+5+6 14 13 no A 1
## 1405 18 =3+6+2 11 12 no A -1
## 1406 18 =3+7+2 12 8 no A 4
## 1407 18 =4+1+7 12 9 no A 3
## 1408 18 =4+1+8 13 10 no A 3
## 1409 18 =4+3+2 9 10 no A -1
## 1410 18 =4+6+1 11 12 no A -1
## 1411 18 =4+6+2 12 13 no A -1
## 1412 18 =4+6+3 13 12 no A 1
## 1413 18 =5+1+3 9 14 no A -5
## 1414 18 =5+1+4 10 11 no A -1
## 1415 18 =5+1+6 12 8 no A 4
## 1416 18 =5+2+4 11 13 no A -2
## 1417 18 =5+4+1 10 12 no A -2
## 1418 18 =6+1+2 9 13 no A -4
## 1419 18 =6+4+1 11 13 no A -2
## 1420 18 =6+5+1 12 13 no A -1
## 1421 18 =7+1+3 11 9 no A 2
## 1422 18 =7+1+4 12 10 no A 2
## 1423 18 =7+1+5 13 9 no A 4
## 1424 18 =7+2+1 10 11 no A -1
## 1425 18 =8+2+1 11 9 no A 2
## 1426 18 =8+2+4 14 11 no A 3
## 1427 18 =1+2+9 12 12 yes A 0
## 1428 18 =1+3+6 10 10 yes A 0
## 1429 18 =1+5+3 9 9 yes A 0
## 1430 18 =1+6+2 9 9 yes A 0
## 1431 18 =1+7+2 10 10 yes A 0
## 1432 18 =2+3+5 10 10 yes A 0
## 1433 18 =2+4+5 11 11 yes A 0
## 1434 18 =2+6+4 12 12 yes A 0
## 1435 18 =2+7+5 14 14 yes A 0
## 1436 18 =2+8+1 11 11 yes A 0
## 1437 18 =3+1+4 8 8 yes A 0
## 1438 18 =3+2+4 9 9 yes A 0
## 1439 18 =3+2+6 11 11 yes A 0
## 1440 18 =3+7+1 11 11 yes A 0
## 1441 18 =4+1+5 10 10 yes A 0
## 1442 18 =4+1+6 11 11 yes A 0
## 1443 18 =4+2+3 9 9 yes A 0
## 1444 18 =4+2+6 12 12 yes A 0
## 1445 18 =4+2+7 13 13 yes A 0
## 1446 18 =4+5+1 10 10 yes A 0
## 1447 18 =4+5+2 11 11 yes A 0
## 1448 18 =4+7+1 12 12 yes A 0
## 1449 18 =5+1+2 8 8 yes A 0
## 1450 18 =5+3+1 9 9 yes A 0
## 1451 18 =5+3+2 10 10 yes A 0
## 1452 18 =5+3+4 12 12 yes A 0
## 1453 18 =6+1+5 12 12 yes A 0
## 1454 18 =6+2+1 9 9 yes A 0
## 1455 18 =6+2+3 11 11 yes A 0
## 1456 18 =6+4+2 12 12 yes A 0
## 1457 18 =6+4+3 13 13 yes A 0
## 1458 18 =6+5+2 13 13 yes A 0
## 1459 18 =7+2+3 12 12 yes A 0
## 1460 18 =7+3+1 11 11 yes A 0
## 1461 18 =7+3+2 12 12 yes A 0
## 1462 18 =7+3+4 14 14 yes A 0
## 1463 18 =8+2+3 13 13 yes A 0
## 1464 18 =9+1+2 12 12 yes A 0
## 1465 18 =9+1+3 13 13 yes A 0
## 1466 18 =9+3+1 13 13 yes A 0
## 1467 18 =3-1-2 0 4 no S -4
## 1468 18 =4-3-1 0 2 no S -2
## 1469 18 =5-1-4 0 3 no S -3
## 1470 18 =5-3-2 0 1 no S -1
## 1471 18 =6-1-2 3 0 no S 3
## 1472 18 =6-1-3 2 0 no S 2
## 1473 18 =6-3-2 1 4 no S -3
## 1474 18 =6-4-2 0 1 no S -1
## 1475 18 =6-5-1 0 3 no S -3
## 1476 18 =7-1-2 4 0 no S 4
## 1477 18 =7-1-4 2 0 no S 2
## 1478 18 =7-1-6 0 3 no S -3
## 1479 18 =7-2-4 1 0 no S 1
## 1480 18 =7-2-5 0 1 no S -1
## 1481 18 =7-4-3 0 1 no S -1
## 1482 18 =8-1-2 5 0 no S 5
## 1483 18 =8-1-3 4 0 no S 4
## 1484 18 =8-1-5 2 0 no S 2
## 1485 18 =8-1-7 0 5 no S -5
## 1486 18 =8-2-5 1 6 no S -5
## 1487 18 =8-3-5 0 2 no S -2
## 1488 18 =8-4-1 3 0 no S 3
## 1489 18 =8-4-3 1 0 no S 1
## 1490 18 =8-6-2 0 5 no S -5
## 1491 18 =9-1-2 6 3 no S 3
## 1492 18 =9-1-8 0 2 no S -2
## 1493 18 =9-2-3 4 0 no S 4
## 1494 18 =9-2-4 3 0 no S 3
## 1495 18 =9-2-6 1 0 no S 1
## 1496 18 =9-3-1 5 0 no S 5
## 1497 18 =9-4-3 2 1 no S 1
## 1498 18 =9-5-1 3 2 no S 1
## 1499 18 =9-5-3 1 0 no S 1
## 1500 18 =9-5-4 0 2 no S -2
## 1501 18 =9-6-1 2 0 no S 2
## 1502 18 =9-6-3 0 1 no S -1
## 1503 18 =9-7-2 0 4 no S -4
## 1504 18 =3-2-1 0 0 yes S 0
## 1505 18 =4-1-3 0 0 yes S 0
## 1506 18 =5-2-3 0 0 yes S 0
## 1507 18 =5-4-1 0 0 yes S 0
## 1508 18 =6-1-5 0 0 yes S 0
## 1509 18 =6-2-1 3 3 yes S 0
## 1510 18 =6-2-3 1 1 yes S 0
## 1511 18 =6-2-4 0 0 yes S 0
## 1512 18 =6-3-1 2 2 yes S 0
## 1513 18 =7-2-1 4 4 yes S 0
## 1514 18 =7-3-4 0 0 yes S 0
## 1515 18 =7-4-1 2 2 yes S 0
## 1516 18 =7-4-2 1 1 yes S 0
## 1517 18 =7-5-2 0 0 yes S 0
## 1518 18 =7-6-1 0 0 yes S 0
## 1519 18 =8-1-4 3 3 yes S 0
## 1520 18 =8-2-1 5 5 yes S 0
## 1521 18 =8-2-6 0 0 yes S 0
## 1522 18 =8-3-1 4 4 yes S 0
## 1523 18 =8-3-4 1 1 yes S 0
## 1524 18 =8-5-1 2 2 yes S 0
## 1525 18 =8-5-2 1 1 yes S 0
## 1526 18 =8-5-3 0 0 yes S 0
## 1527 18 =8-7-1 0 0 yes S 0
## 1528 18 =9-1-3 5 5 yes S 0
## 1529 18 =9-1-5 3 3 yes S 0
## 1530 18 =9-1-6 2 2 yes S 0
## 1531 18 =9-2-1 6 6 yes S 0
## 1532 18 =9-2-7 0 0 yes S 0
## 1533 18 =9-3-2 4 4 yes S 0
## 1534 18 =9-3-4 2 2 yes S 0
## 1535 18 =9-3-5 1 1 yes S 0
## 1536 18 =9-3-6 0 0 yes S 0
## 1537 18 =9-4-2 3 3 yes S 0
## 1538 18 =9-4-5 0 0 yes S 0
## 1539 18 =9-6-2 1 1 yes S 0
## 1540 18 =9-8-1 0 0 yes S 0
## 1541 19 =1+2+5 8 9 no A -1
## 1542 19 =1+3+5 9 11 no A -2
## 1543 19 =1+4+3 8 12 no A -4
## 1544 19 =1+6+3 10 12 no A -2
## 1545 19 =1+9+2 12 11 no A 1
## 1546 19 =1+9+3 13 12 no A 1
## 1547 19 =2+1+9 12 11 no A 1
## 1548 19 =2+3+6 11 10 no A 1
## 1549 19 =2+3+7 12 11 no A 1
## 1550 19 =2+5+6 13 9 no A 4
## 1551 19 =2+7+1 10 12 no A -2
## 1552 19 =2+8+3 13 11 no A 2
## 1553 19 =3+1+5 9 12 no A -3
## 1554 19 =3+1+7 11 12 no A -1
## 1555 19 =3+2+5 10 14 no A -4
## 1556 19 =3+4+2 9 10 no A -1
## 1557 19 =3+5+4 12 10 no A 2
## 1558 19 =3+5+6 14 13 no A 1
## 1559 19 =3+6+2 11 12 no A -1
## 1560 19 =3+7+2 12 8 no A 4
## 1561 19 =4+1+7 12 9 no A 3
## 1562 19 =4+1+8 13 10 no A 3
## 1563 19 =4+3+2 9 10 no A -1
## 1564 19 =4+6+1 11 12 no A -1
## 1565 19 =4+6+2 12 13 no A -1
## 1566 19 =4+6+3 13 12 no A 1
## 1567 19 =5+1+3 9 14 no A -5
## 1568 19 =5+1+4 10 11 no A -1
## 1569 19 =5+1+6 12 8 no A 4
## 1570 19 =5+2+4 11 13 no A -2
## 1571 19 =5+4+1 10 12 no A -2
## 1572 19 =6+1+2 9 13 no A -4
## 1573 19 =6+4+1 11 13 no A -2
## 1574 19 =6+5+1 12 13 no A -1
## 1575 19 =7+1+3 11 9 no A 2
## 1576 19 =7+1+4 12 10 no A 2
## 1577 19 =7+1+5 13 9 no A 4
## 1578 19 =7+2+1 10 11 no A -1
## 1579 19 =8+2+1 11 9 no A 2
## 1580 19 =8+2+4 14 11 no A 3
## 1581 19 =1+2+9 12 12 yes A 0
## 1582 19 =1+3+6 10 10 yes A 0
## 1583 19 =1+5+3 9 9 yes A 0
## 1584 19 =1+6+2 9 9 yes A 0
## 1585 19 =1+7+2 10 10 yes A 0
## 1586 19 =2+3+5 10 10 yes A 0
## 1587 19 =2+4+5 11 11 yes A 0
## 1588 19 =2+6+4 12 12 yes A 0
## 1589 19 =2+7+5 14 14 yes A 0
## 1590 19 =2+8+1 11 11 yes A 0
## 1591 19 =3+1+4 8 8 yes A 0
## 1592 19 =3+2+4 9 9 yes A 0
## 1593 19 =3+2+6 11 11 yes A 0
## 1594 19 =3+7+1 11 11 yes A 0
## 1595 19 =4+1+5 10 10 yes A 0
## 1596 19 =4+1+6 11 11 yes A 0
## 1597 19 =4+2+3 9 9 yes A 0
## 1598 19 =4+2+6 12 12 yes A 0
## 1599 19 =4+2+7 13 13 yes A 0
## 1600 19 =4+5+1 10 10 yes A 0
## 1601 19 =4+5+2 11 11 yes A 0
## 1602 19 =4+7+1 12 12 yes A 0
## 1603 19 =5+1+2 8 8 yes A 0
## 1604 19 =5+3+1 9 9 yes A 0
## 1605 19 =5+3+2 10 10 yes A 0
## 1606 19 =5+3+4 12 12 yes A 0
## 1607 19 =6+1+5 12 12 yes A 0
## 1608 19 =6+2+1 9 9 yes A 0
## 1609 19 =6+2+3 11 11 yes A 0
## 1610 19 =6+4+2 12 12 yes A 0
## 1611 19 =6+4+3 13 13 yes A 0
## 1612 19 =6+5+2 13 13 yes A 0
## 1613 19 =7+2+3 12 12 yes A 0
## 1614 19 =7+3+1 11 11 yes A 0
## 1615 19 =7+3+2 12 12 yes A 0
## 1616 19 =7+3+4 14 14 yes A 0
## 1617 19 =8+2+3 13 13 yes A 0
## 1618 19 =9+1+2 12 12 yes A 0
## 1619 19 =9+1+3 13 13 yes A 0
## 1620 19 =9+3+1 13 13 yes A 0
## 1621 19 =3-1-2 0 4 no S -4
## 1622 19 =4-3-1 0 2 no S -2
## 1623 19 =5-1-4 0 3 no S -3
## 1624 19 =5-3-2 0 1 no S -1
## 1625 19 =6-1-2 3 0 no S 3
## 1626 19 =6-1-3 2 0 no S 2
## 1627 19 =6-3-2 1 4 no S -3
## 1628 19 =6-4-2 0 1 no S -1
## 1629 19 =6-5-1 0 3 no S -3
## 1630 19 =7-1-2 4 0 no S 4
## 1631 19 =7-1-4 2 0 no S 2
## 1632 19 =7-1-6 0 3 no S -3
## 1633 19 =7-2-4 1 0 no S 1
## 1634 19 =7-2-5 0 1 no S -1
## 1635 19 =7-4-3 0 1 no S -1
## 1636 19 =8-1-2 5 0 no S 5
## 1637 19 =8-1-3 4 0 no S 4
## 1638 19 =8-1-5 2 0 no S 2
## 1639 19 =8-1-7 0 5 no S -5
## 1640 19 =8-2-5 1 6 no S -5
## 1641 19 =8-3-5 0 2 no S -2
## 1642 19 =8-4-1 3 0 no S 3
## 1643 19 =8-4-3 1 0 no S 1
## 1644 19 =8-6-2 0 5 no S -5
## 1645 19 =9-1-2 6 3 no S 3
## 1646 19 =9-1-8 0 2 no S -2
## 1647 19 =9-2-3 4 0 no S 4
## 1648 19 =9-2-4 3 0 no S 3
## 1649 19 =9-2-6 1 0 no S 1
## 1650 19 =9-3-1 5 0 no S 5
## 1651 19 =9-4-3 2 1 no S 1
## 1652 19 =9-5-1 3 2 no S 1
## 1653 19 =9-5-3 1 0 no S 1
## 1654 19 =9-5-4 0 2 no S -2
## 1655 19 =9-6-1 2 0 no S 2
## 1656 19 =9-6-3 0 1 no S -1
## 1657 19 =9-7-2 0 4 no S -4
## 1658 19 =3-2-1 0 0 yes S 0
## 1659 19 =4-1-3 0 0 yes S 0
## 1660 19 =5-2-3 0 0 yes S 0
## 1661 19 =5-4-1 0 0 yes S 0
## 1662 19 =6-1-5 0 0 yes S 0
## 1663 19 =6-2-1 3 3 yes S 0
## 1664 19 =6-2-3 1 1 yes S 0
## 1665 19 =6-2-4 0 0 yes S 0
## 1666 19 =6-3-1 2 2 yes S 0
## 1667 19 =7-2-1 4 4 yes S 0
## 1668 19 =7-3-4 0 0 yes S 0
## 1669 19 =7-4-1 2 2 yes S 0
## 1670 19 =7-4-2 1 1 yes S 0
## 1671 19 =7-5-2 0 0 yes S 0
## 1672 19 =7-6-1 0 0 yes S 0
## 1673 19 =8-1-4 3 3 yes S 0
## 1674 19 =8-2-1 5 5 yes S 0
## 1675 19 =8-2-6 0 0 yes S 0
## 1676 19 =8-3-1 4 4 yes S 0
## 1677 19 =8-3-4 1 1 yes S 0
## 1678 19 =8-5-1 2 2 yes S 0
## 1679 19 =8-5-2 1 1 yes S 0
## 1680 19 =8-5-3 0 0 yes S 0
## 1681 19 =8-7-1 0 0 yes S 0
## 1682 19 =9-1-3 5 5 yes S 0
## 1683 19 =9-1-5 3 3 yes S 0
## 1684 19 =9-1-6 2 2 yes S 0
## 1685 19 =9-2-1 6 6 yes S 0
## 1686 19 =9-2-7 0 0 yes S 0
## 1687 19 =9-3-2 4 4 yes S 0
## 1688 19 =9-3-4 2 2 yes S 0
## 1689 19 =9-3-5 1 1 yes S 0
## 1690 19 =9-3-6 0 0 yes S 0
## 1691 19 =9-4-2 3 3 yes S 0
## 1692 19 =9-4-5 0 0 yes S 0
## 1693 19 =9-6-2 1 1 yes S 0
## 1694 19 =9-8-1 0 0 yes S 0
## 1695 2 =1+2+5 8 9 no A -1
## 1696 2 =1+3+5 9 11 no A -2
## 1697 2 =1+4+3 8 12 no A -4
## 1698 2 =1+6+3 10 12 no A -2
## 1699 2 =1+9+2 12 11 no A 1
## 1700 2 =1+9+3 13 12 no A 1
## 1701 2 =2+1+9 12 11 no A 1
## 1702 2 =2+3+6 11 10 no A 1
## 1703 2 =2+3+7 12 11 no A 1
## 1704 2 =2+5+6 13 9 no A 4
## 1705 2 =2+7+1 10 12 no A -2
## 1706 2 =2+8+3 13 11 no A 2
## 1707 2 =3+1+5 9 12 no A -3
## 1708 2 =3+1+7 11 12 no A -1
## 1709 2 =3+2+5 10 14 no A -4
## 1710 2 =3+4+2 9 10 no A -1
## 1711 2 =3+5+4 12 10 no A 2
## 1712 2 =3+5+6 14 13 no A 1
## 1713 2 =3+6+2 11 12 no A -1
## 1714 2 =3+7+2 12 8 no A 4
## 1715 2 =4+1+7 12 9 no A 3
## 1716 2 =4+1+8 13 10 no A 3
## 1717 2 =4+3+2 9 10 no A -1
## 1718 2 =4+6+1 11 12 no A -1
## 1719 2 =4+6+2 12 13 no A -1
## 1720 2 =4+6+3 13 12 no A 1
## 1721 2 =5+1+3 9 14 no A -5
## 1722 2 =5+1+4 10 11 no A -1
## 1723 2 =5+1+6 12 8 no A 4
## 1724 2 =5+2+4 11 13 no A -2
## 1725 2 =5+4+1 10 12 no A -2
## 1726 2 =6+1+2 9 13 no A -4
## 1727 2 =6+4+1 11 13 no A -2
## 1728 2 =6+5+1 12 13 no A -1
## 1729 2 =7+1+3 11 9 no A 2
## 1730 2 =7+1+4 12 10 no A 2
## 1731 2 =7+1+5 13 9 no A 4
## 1732 2 =7+2+1 10 11 no A -1
## 1733 2 =8+2+1 11 9 no A 2
## 1734 2 =8+2+4 14 11 no A 3
## 1735 2 =1+2+9 12 12 yes A 0
## 1736 2 =1+3+6 10 10 yes A 0
## 1737 2 =1+5+3 9 9 yes A 0
## 1738 2 =1+6+2 9 9 yes A 0
## 1739 2 =1+7+2 10 10 yes A 0
## 1740 2 =2+3+5 10 10 yes A 0
## 1741 2 =2+4+5 11 11 yes A 0
## 1742 2 =2+6+4 12 12 yes A 0
## 1743 2 =2+7+5 14 14 yes A 0
## 1744 2 =2+8+1 11 11 yes A 0
## 1745 2 =3+1+4 8 8 yes A 0
## 1746 2 =3+2+4 9 9 yes A 0
## 1747 2 =3+2+6 11 11 yes A 0
## 1748 2 =3+7+1 11 11 yes A 0
## 1749 2 =4+1+5 10 10 yes A 0
## 1750 2 =4+1+6 11 11 yes A 0
## 1751 2 =4+2+3 9 9 yes A 0
## 1752 2 =4+2+6 12 12 yes A 0
## 1753 2 =4+2+7 13 13 yes A 0
## 1754 2 =4+5+1 10 10 yes A 0
## 1755 2 =4+5+2 11 11 yes A 0
## 1756 2 =4+7+1 12 12 yes A 0
## 1757 2 =5+1+2 8 8 yes A 0
## 1758 2 =5+3+1 9 9 yes A 0
## 1759 2 =5+3+2 10 10 yes A 0
## 1760 2 =5+3+4 12 12 yes A 0
## 1761 2 =6+1+5 12 12 yes A 0
## 1762 2 =6+2+1 9 9 yes A 0
## 1763 2 =6+2+3 11 11 yes A 0
## 1764 2 =6+4+2 12 12 yes A 0
## 1765 2 =6+4+3 13 13 yes A 0
## 1766 2 =6+5+2 13 13 yes A 0
## 1767 2 =7+2+3 12 12 yes A 0
## 1768 2 =7+3+1 11 11 yes A 0
## 1769 2 =7+3+2 12 12 yes A 0
## 1770 2 =7+3+4 14 14 yes A 0
## 1771 2 =8+2+3 13 13 yes A 0
## 1772 2 =9+1+2 12 12 yes A 0
## 1773 2 =9+1+3 13 13 yes A 0
## 1774 2 =9+3+1 13 13 yes A 0
## 1775 2 =3-1-2 0 4 no S -4
## 1776 2 =4-3-1 0 2 no S -2
## 1777 2 =5-1-4 0 3 no S -3
## 1778 2 =5-3-2 0 1 no S -1
## 1779 2 =6-1-2 3 0 no S 3
## 1780 2 =6-1-3 2 0 no S 2
## 1781 2 =6-3-2 1 4 no S -3
## 1782 2 =6-4-2 0 1 no S -1
## 1783 2 =6-5-1 0 3 no S -3
## 1784 2 =7-1-2 4 0 no S 4
## 1785 2 =7-1-4 2 0 no S 2
## 1786 2 =7-1-6 0 3 no S -3
## 1787 2 =7-2-4 1 0 no S 1
## 1788 2 =7-2-5 0 1 no S -1
## 1789 2 =7-4-3 0 1 no S -1
## 1790 2 =8-1-2 5 0 no S 5
## 1791 2 =8-1-3 4 0 no S 4
## 1792 2 =8-1-5 2 0 no S 2
## 1793 2 =8-1-7 0 5 no S -5
## 1794 2 =8-2-5 1 6 no S -5
## 1795 2 =8-3-5 0 2 no S -2
## 1796 2 =8-4-1 3 0 no S 3
## 1797 2 =8-4-3 1 0 no S 1
## 1798 2 =8-6-2 0 5 no S -5
## 1799 2 =9-1-2 6 3 no S 3
## 1800 2 =9-1-8 0 2 no S -2
## 1801 2 =9-2-3 4 0 no S 4
## 1802 2 =9-2-4 3 0 no S 3
## 1803 2 =9-2-6 1 0 no S 1
## 1804 2 =9-3-1 5 0 no S 5
## 1805 2 =9-4-3 2 1 no S 1
## 1806 2 =9-5-1 3 2 no S 1
## 1807 2 =9-5-3 1 0 no S 1
## 1808 2 =9-5-4 0 2 no S -2
## 1809 2 =9-6-1 2 0 no S 2
## 1810 2 =9-6-3 0 1 no S -1
## 1811 2 =9-7-2 0 4 no S -4
## 1812 2 =3-2-1 0 0 yes S 0
## 1813 2 =4-1-3 0 0 yes S 0
## 1814 2 =5-2-3 0 0 yes S 0
## 1815 2 =5-4-1 0 0 yes S 0
## 1816 2 =6-1-5 0 0 yes S 0
## 1817 2 =6-2-1 3 3 yes S 0
## 1818 2 =6-2-3 1 1 yes S 0
## 1819 2 =6-2-4 0 0 yes S 0
## 1820 2 =6-3-1 2 2 yes S 0
## 1821 2 =7-2-1 4 4 yes S 0
## 1822 2 =7-3-4 0 0 yes S 0
## 1823 2 =7-4-1 2 2 yes S 0
## 1824 2 =7-4-2 1 1 yes S 0
## 1825 2 =7-5-2 0 0 yes S 0
## 1826 2 =7-6-1 0 0 yes S 0
## 1827 2 =8-1-4 3 3 yes S 0
## 1828 2 =8-2-1 5 5 yes S 0
## 1829 2 =8-2-6 0 0 yes S 0
## 1830 2 =8-3-1 4 4 yes S 0
## 1831 2 =8-3-4 1 1 yes S 0
## 1832 2 =8-5-1 2 2 yes S 0
## 1833 2 =8-5-2 1 1 yes S 0
## 1834 2 =8-5-3 0 0 yes S 0
## 1835 2 =8-7-1 0 0 yes S 0
## 1836 2 =9-1-3 5 5 yes S 0
## 1837 2 =9-1-5 3 3 yes S 0
## 1838 2 =9-1-6 2 2 yes S 0
## 1839 2 =9-2-1 6 6 yes S 0
## 1840 2 =9-2-7 0 0 yes S 0
## 1841 2 =9-3-2 4 4 yes S 0
## 1842 2 =9-3-4 2 2 yes S 0
## 1843 2 =9-3-5 1 1 yes S 0
## 1844 2 =9-3-6 0 0 yes S 0
## 1845 2 =9-4-2 3 3 yes S 0
## 1846 2 =9-4-5 0 0 yes S 0
## 1847 2 =9-6-2 1 1 yes S 0
## 1848 2 =9-8-1 0 0 yes S 0
## 1849 20 =1+2+5 8 9 no A -1
## 1850 20 =1+3+5 9 11 no A -2
## 1851 20 =1+4+3 8 12 no A -4
## 1852 20 =1+6+3 10 12 no A -2
## 1853 20 =1+9+2 12 11 no A 1
## 1854 20 =1+9+3 13 12 no A 1
## 1855 20 =2+1+9 12 11 no A 1
## 1856 20 =2+3+6 11 10 no A 1
## 1857 20 =2+3+7 12 11 no A 1
## 1858 20 =2+5+6 13 9 no A 4
## 1859 20 =2+7+1 10 12 no A -2
## 1860 20 =2+8+3 13 11 no A 2
## 1861 20 =3+1+5 9 12 no A -3
## 1862 20 =3+1+7 11 12 no A -1
## 1863 20 =3+2+5 10 14 no A -4
## 1864 20 =3+4+2 9 10 no A -1
## 1865 20 =3+5+4 12 10 no A 2
## 1866 20 =3+5+6 14 13 no A 1
## 1867 20 =3+6+2 11 12 no A -1
## 1868 20 =3+7+2 12 8 no A 4
## 1869 20 =4+1+7 12 9 no A 3
## 1870 20 =4+1+8 13 10 no A 3
## 1871 20 =4+3+2 9 10 no A -1
## 1872 20 =4+6+1 11 12 no A -1
## 1873 20 =4+6+2 12 13 no A -1
## 1874 20 =4+6+3 13 12 no A 1
## 1875 20 =5+1+3 9 14 no A -5
## 1876 20 =5+1+4 10 11 no A -1
## 1877 20 =5+1+6 12 8 no A 4
## 1878 20 =5+2+4 11 13 no A -2
## 1879 20 =5+4+1 10 12 no A -2
## 1880 20 =6+1+2 9 13 no A -4
## 1881 20 =6+4+1 11 13 no A -2
## 1882 20 =6+5+1 12 13 no A -1
## 1883 20 =7+1+3 11 9 no A 2
## 1884 20 =7+1+4 12 10 no A 2
## 1885 20 =7+1+5 13 9 no A 4
## 1886 20 =7+2+1 10 11 no A -1
## 1887 20 =8+2+1 11 9 no A 2
## 1888 20 =8+2+4 14 11 no A 3
## 1889 20 =1+2+9 12 12 yes A 0
## 1890 20 =1+3+6 10 10 yes A 0
## 1891 20 =1+5+3 9 9 yes A 0
## 1892 20 =1+6+2 9 9 yes A 0
## 1893 20 =1+7+2 10 10 yes A 0
## 1894 20 =2+3+5 10 10 yes A 0
## 1895 20 =2+4+5 11 11 yes A 0
## 1896 20 =2+6+4 12 12 yes A 0
## 1897 20 =2+7+5 14 14 yes A 0
## 1898 20 =2+8+1 11 11 yes A 0
## 1899 20 =3+1+4 8 8 yes A 0
## 1900 20 =3+2+4 9 9 yes A 0
## 1901 20 =3+2+6 11 11 yes A 0
## 1902 20 =3+7+1 11 11 yes A 0
## 1903 20 =4+1+5 10 10 yes A 0
## 1904 20 =4+1+6 11 11 yes A 0
## 1905 20 =4+2+3 9 9 yes A 0
## 1906 20 =4+2+6 12 12 yes A 0
## 1907 20 =4+2+7 13 13 yes A 0
## 1908 20 =4+5+1 10 10 yes A 0
## 1909 20 =4+5+2 11 11 yes A 0
## 1910 20 =4+7+1 12 12 yes A 0
## 1911 20 =5+1+2 8 8 yes A 0
## 1912 20 =5+3+1 9 9 yes A 0
## 1913 20 =5+3+2 10 10 yes A 0
## 1914 20 =5+3+4 12 12 yes A 0
## 1915 20 =6+1+5 12 12 yes A 0
## 1916 20 =6+2+1 9 9 yes A 0
## 1917 20 =6+2+3 11 11 yes A 0
## 1918 20 =6+4+2 12 12 yes A 0
## 1919 20 =6+4+3 13 13 yes A 0
## 1920 20 =6+5+2 13 13 yes A 0
## 1921 20 =7+2+3 12 12 yes A 0
## 1922 20 =7+3+1 11 11 yes A 0
## 1923 20 =7+3+2 12 12 yes A 0
## 1924 20 =7+3+4 14 14 yes A 0
## 1925 20 =8+2+3 13 13 yes A 0
## 1926 20 =9+1+2 12 12 yes A 0
## 1927 20 =9+1+3 13 13 yes A 0
## 1928 20 =9+3+1 13 13 yes A 0
## 1929 20 =3-1-2 0 4 no S -4
## 1930 20 =4-3-1 0 2 no S -2
## 1931 20 =5-1-4 0 3 no S -3
## 1932 20 =5-3-2 0 1 no S -1
## 1933 20 =6-1-2 3 0 no S 3
## 1934 20 =6-1-3 2 0 no S 2
## 1935 20 =6-3-2 1 4 no S -3
## 1936 20 =6-4-2 0 1 no S -1
## 1937 20 =6-5-1 0 3 no S -3
## 1938 20 =7-1-2 4 0 no S 4
## 1939 20 =7-1-4 2 0 no S 2
## 1940 20 =7-1-6 0 3 no S -3
## 1941 20 =7-2-4 1 0 no S 1
## 1942 20 =7-2-5 0 1 no S -1
## 1943 20 =7-4-3 0 1 no S -1
## 1944 20 =8-1-2 5 0 no S 5
## 1945 20 =8-1-3 4 0 no S 4
## 1946 20 =8-1-5 2 0 no S 2
## 1947 20 =8-1-7 0 5 no S -5
## 1948 20 =8-2-5 1 6 no S -5
## 1949 20 =8-3-5 0 2 no S -2
## 1950 20 =8-4-1 3 0 no S 3
## 1951 20 =8-4-3 1 0 no S 1
## 1952 20 =8-6-2 0 5 no S -5
## 1953 20 =9-1-2 6 3 no S 3
## 1954 20 =9-1-8 0 2 no S -2
## 1955 20 =9-2-3 4 0 no S 4
## 1956 20 =9-2-4 3 0 no S 3
## 1957 20 =9-2-6 1 0 no S 1
## 1958 20 =9-3-1 5 0 no S 5
## 1959 20 =9-4-3 2 1 no S 1
## 1960 20 =9-5-1 3 2 no S 1
## 1961 20 =9-5-3 1 0 no S 1
## 1962 20 =9-5-4 0 2 no S -2
## 1963 20 =9-6-1 2 0 no S 2
## 1964 20 =9-6-3 0 1 no S -1
## 1965 20 =9-7-2 0 4 no S -4
## 1966 20 =3-2-1 0 0 yes S 0
## 1967 20 =4-1-3 0 0 yes S 0
## 1968 20 =5-2-3 0 0 yes S 0
## 1969 20 =5-4-1 0 0 yes S 0
## 1970 20 =6-1-5 0 0 yes S 0
## 1971 20 =6-2-1 3 3 yes S 0
## 1972 20 =6-2-3 1 1 yes S 0
## 1973 20 =6-2-4 0 0 yes S 0
## 1974 20 =6-3-1 2 2 yes S 0
## 1975 20 =7-2-1 4 4 yes S 0
## 1976 20 =7-3-4 0 0 yes S 0
## 1977 20 =7-4-1 2 2 yes S 0
## 1978 20 =7-4-2 1 1 yes S 0
## 1979 20 =7-5-2 0 0 yes S 0
## 1980 20 =7-6-1 0 0 yes S 0
## 1981 20 =8-1-4 3 3 yes S 0
## 1982 20 =8-2-1 5 5 yes S 0
## 1983 20 =8-2-6 0 0 yes S 0
## 1984 20 =8-3-1 4 4 yes S 0
## 1985 20 =8-3-4 1 1 yes S 0
## 1986 20 =8-5-1 2 2 yes S 0
## 1987 20 =8-5-2 1 1 yes S 0
## 1988 20 =8-5-3 0 0 yes S 0
## 1989 20 =8-7-1 0 0 yes S 0
## 1990 20 =9-1-3 5 5 yes S 0
## 1991 20 =9-1-5 3 3 yes S 0
## 1992 20 =9-1-6 2 2 yes S 0
## 1993 20 =9-2-1 6 6 yes S 0
## 1994 20 =9-2-7 0 0 yes S 0
## 1995 20 =9-3-2 4 4 yes S 0
## 1996 20 =9-3-4 2 2 yes S 0
## 1997 20 =9-3-5 1 1 yes S 0
## 1998 20 =9-3-6 0 0 yes S 0
## 1999 20 =9-4-2 3 3 yes S 0
## 2000 20 =9-4-5 0 0 yes S 0
## 2001 20 =9-6-2 1 1 yes S 0
## 2002 20 =9-8-1 0 0 yes S 0
## 2003 21 =1+2+5 8 9 no A -1
## 2004 21 =1+3+5 9 11 no A -2
## 2005 21 =1+4+3 8 12 no A -4
## 2006 21 =1+6+3 10 12 no A -2
## 2007 21 =1+9+2 12 11 no A 1
## 2008 21 =1+9+3 13 12 no A 1
## 2009 21 =2+1+9 12 11 no A 1
## 2010 21 =2+3+6 11 10 no A 1
## 2011 21 =2+3+7 12 11 no A 1
## 2012 21 =2+5+6 13 9 no A 4
## 2013 21 =2+7+1 10 12 no A -2
## 2014 21 =2+8+3 13 11 no A 2
## 2015 21 =3+1+5 9 12 no A -3
## 2016 21 =3+1+7 11 12 no A -1
## 2017 21 =3+2+5 10 14 no A -4
## 2018 21 =3+4+2 9 10 no A -1
## 2019 21 =3+5+4 12 10 no A 2
## 2020 21 =3+5+6 14 13 no A 1
## 2021 21 =3+6+2 11 12 no A -1
## 2022 21 =3+7+2 12 8 no A 4
## 2023 21 =4+1+7 12 9 no A 3
## 2024 21 =4+1+8 13 10 no A 3
## 2025 21 =4+3+2 9 10 no A -1
## 2026 21 =4+6+1 11 12 no A -1
## 2027 21 =4+6+2 12 13 no A -1
## 2028 21 =4+6+3 13 12 no A 1
## 2029 21 =5+1+3 9 14 no A -5
## 2030 21 =5+1+4 10 11 no A -1
## 2031 21 =5+1+6 12 8 no A 4
## 2032 21 =5+2+4 11 13 no A -2
## 2033 21 =5+4+1 10 12 no A -2
## 2034 21 =6+1+2 9 13 no A -4
## 2035 21 =6+4+1 11 13 no A -2
## 2036 21 =6+5+1 12 13 no A -1
## 2037 21 =7+1+3 11 9 no A 2
## 2038 21 =7+1+4 12 10 no A 2
## 2039 21 =7+1+5 13 9 no A 4
## 2040 21 =7+2+1 10 11 no A -1
## 2041 21 =8+2+1 11 9 no A 2
## 2042 21 =8+2+4 14 11 no A 3
## 2043 21 =1+2+9 12 12 yes A 0
## 2044 21 =1+3+6 10 10 yes A 0
## 2045 21 =1+5+3 9 9 yes A 0
## 2046 21 =1+6+2 9 9 yes A 0
## 2047 21 =1+7+2 10 10 yes A 0
## 2048 21 =2+3+5 10 10 yes A 0
## 2049 21 =2+4+5 11 11 yes A 0
## 2050 21 =2+6+4 12 12 yes A 0
## 2051 21 =2+7+5 14 14 yes A 0
## 2052 21 =2+8+1 11 11 yes A 0
## 2053 21 =3+1+4 8 8 yes A 0
## 2054 21 =3+2+4 9 9 yes A 0
## 2055 21 =3+2+6 11 11 yes A 0
## 2056 21 =3+7+1 11 11 yes A 0
## 2057 21 =4+1+5 10 10 yes A 0
## 2058 21 =4+1+6 11 11 yes A 0
## 2059 21 =4+2+3 9 9 yes A 0
## 2060 21 =4+2+6 12 12 yes A 0
## 2061 21 =4+2+7 13 13 yes A 0
## 2062 21 =4+5+1 10 10 yes A 0
## 2063 21 =4+5+2 11 11 yes A 0
## 2064 21 =4+7+1 12 12 yes A 0
## 2065 21 =5+1+2 8 8 yes A 0
## 2066 21 =5+3+1 9 9 yes A 0
## 2067 21 =5+3+2 10 10 yes A 0
## 2068 21 =5+3+4 12 12 yes A 0
## 2069 21 =6+1+5 12 12 yes A 0
## 2070 21 =6+2+1 9 9 yes A 0
## 2071 21 =6+2+3 11 11 yes A 0
## 2072 21 =6+4+2 12 12 yes A 0
## 2073 21 =6+4+3 13 13 yes A 0
## 2074 21 =6+5+2 13 13 yes A 0
## 2075 21 =7+2+3 12 12 yes A 0
## 2076 21 =7+3+1 11 11 yes A 0
## 2077 21 =7+3+2 12 12 yes A 0
## 2078 21 =7+3+4 14 14 yes A 0
## 2079 21 =8+2+3 13 13 yes A 0
## 2080 21 =9+1+2 12 12 yes A 0
## 2081 21 =9+1+3 13 13 yes A 0
## 2082 21 =9+3+1 13 13 yes A 0
## 2083 21 =3-1-2 0 4 no S -4
## 2084 21 =4-3-1 0 2 no S -2
## 2085 21 =5-1-4 0 3 no S -3
## 2086 21 =5-3-2 0 1 no S -1
## 2087 21 =6-1-2 3 0 no S 3
## 2088 21 =6-1-3 2 0 no S 2
## 2089 21 =6-3-2 1 4 no S -3
## 2090 21 =6-4-2 0 1 no S -1
## 2091 21 =6-5-1 0 3 no S -3
## 2092 21 =7-1-2 4 0 no S 4
## 2093 21 =7-1-4 2 0 no S 2
## 2094 21 =7-1-6 0 3 no S -3
## 2095 21 =7-2-4 1 0 no S 1
## 2096 21 =7-2-5 0 1 no S -1
## 2097 21 =7-4-3 0 1 no S -1
## 2098 21 =8-1-2 5 0 no S 5
## 2099 21 =8-1-3 4 0 no S 4
## 2100 21 =8-1-5 2 0 no S 2
## 2101 21 =8-1-7 0 5 no S -5
## 2102 21 =8-2-5 1 6 no S -5
## 2103 21 =8-3-5 0 2 no S -2
## 2104 21 =8-4-1 3 0 no S 3
## 2105 21 =8-4-3 1 0 no S 1
## 2106 21 =8-6-2 0 5 no S -5
## 2107 21 =9-1-2 6 3 no S 3
## 2108 21 =9-1-8 0 2 no S -2
## 2109 21 =9-2-3 4 0 no S 4
## 2110 21 =9-2-4 3 0 no S 3
## 2111 21 =9-2-6 1 0 no S 1
## 2112 21 =9-3-1 5 0 no S 5
## 2113 21 =9-4-3 2 1 no S 1
## 2114 21 =9-5-1 3 2 no S 1
## 2115 21 =9-5-3 1 0 no S 1
## 2116 21 =9-5-4 0 2 no S -2
## 2117 21 =9-6-1 2 0 no S 2
## 2118 21 =9-6-3 0 1 no S -1
## 2119 21 =9-7-2 0 4 no S -4
## 2120 21 =3-2-1 0 0 yes S 0
## 2121 21 =4-1-3 0 0 yes S 0
## 2122 21 =5-2-3 0 0 yes S 0
## 2123 21 =5-4-1 0 0 yes S 0
## 2124 21 =6-1-5 0 0 yes S 0
## 2125 21 =6-2-1 3 3 yes S 0
## 2126 21 =6-2-3 1 1 yes S 0
## 2127 21 =6-2-4 0 0 yes S 0
## 2128 21 =6-3-1 2 2 yes S 0
## 2129 21 =7-2-1 4 4 yes S 0
## 2130 21 =7-3-4 0 0 yes S 0
## 2131 21 =7-4-1 2 2 yes S 0
## 2132 21 =7-4-2 1 1 yes S 0
## 2133 21 =7-5-2 0 0 yes S 0
## 2134 21 =7-6-1 0 0 yes S 0
## 2135 21 =8-1-4 3 3 yes S 0
## 2136 21 =8-2-1 5 5 yes S 0
## 2137 21 =8-2-6 0 0 yes S 0
## 2138 21 =8-3-1 4 4 yes S 0
## 2139 21 =8-3-4 1 1 yes S 0
## 2140 21 =8-5-1 2 2 yes S 0
## 2141 21 =8-5-2 1 1 yes S 0
## 2142 21 =8-5-3 0 0 yes S 0
## 2143 21 =8-7-1 0 0 yes S 0
## 2144 21 =9-1-3 5 5 yes S 0
## 2145 21 =9-1-5 3 3 yes S 0
## 2146 21 =9-1-6 2 2 yes S 0
## 2147 21 =9-2-1 6 6 yes S 0
## 2148 21 =9-2-7 0 0 yes S 0
## 2149 21 =9-3-2 4 4 yes S 0
## 2150 21 =9-3-4 2 2 yes S 0
## 2151 21 =9-3-5 1 1 yes S 0
## 2152 21 =9-3-6 0 0 yes S 0
## 2153 21 =9-4-2 3 3 yes S 0
## 2154 21 =9-4-5 0 0 yes S 0
## 2155 21 =9-6-2 1 1 yes S 0
## 2156 21 =9-8-1 0 0 yes S 0
## 2157 22 =1+2+9 12 8 no A 4
## 2158 22 =1+3+6 10 14 no A -4
## 2159 22 =1+5+3 9 12 no A -3
## 2160 22 =1+6+2 9 10 no A -1
## 2161 22 =1+7+2 10 11 no A -1
## 2162 22 =2+3+5 10 12 no A -2
## 2163 22 =2+4+5 11 10 no A 1
## 2164 22 =2+6+4 12 9 no A 3
## 2165 22 =2+7+5 14 13 no A 1
## 2166 22 =2+8+1 11 13 no A -2
## 2167 22 =3+1+4 8 9 no A -1
## 2168 22 =3+2+4 9 11 no A -2
## 2169 22 =3+2+6 11 13 no A -2
## 2170 22 =3+7+1 11 9 no A 2
## 2171 22 =4+1+5 10 12 no A -2
## 2172 22 =4+1+6 11 12 no A -1
## 2173 22 =4+2+3 9 12 no A -3
## 2174 22 =4+2+6 12 10 no A 2
## 2175 22 =4+2+7 13 9 no A 4
## 2176 22 =4+5+1 10 11 no A -1
## 2177 22 =4+5+2 11 9 no A 2
## 2178 22 =4+7+1 12 10 no A 2
## 2179 22 =5+1+2 8 13 no A -5
## 2180 22 =5+3+1 9 10 no A -1
## 2181 22 =5+3+2 10 12 no A -2
## 2182 22 =5+3+4 12 11 no A 1
## 2183 22 =6+1+5 12 13 no A -1
## 2184 22 =6+2+1 9 14 no A -5
## 2185 22 =6+2+3 11 12 no A -1
## 2186 22 =6+4+2 12 11 no A 1
## 2187 22 =6+4+3 13 12 no A 1
## 2188 22 =6+5+2 13 10 no A 3
## 2189 22 =7+2+3 12 13 no A -1
## 2190 22 =7+3+1 11 12 no A -1
## 2191 22 =7+3+2 12 8 no A 4
## 2192 22 =7+3+4 14 11 no A 3
## 2193 22 =8+2+3 13 9 no A 4
## 2194 22 =9+1+2 12 11 no A 1
## 2195 22 =9+1+3 13 12 no A 1
## 2196 22 =9+3+1 13 11 no A 2
## 2197 22 =1+2+5 8 8 yes A 0
## 2198 22 =1+3+5 9 9 yes A 0
## 2199 22 =1+4+3 8 8 yes A 0
## 2200 22 =1+6+3 10 10 yes A 0
## 2201 22 =1+9+2 12 12 yes A 0
## 2202 22 =1+9+3 13 13 yes A 0
## 2203 22 =2+1+9 12 12 yes A 0
## 2204 22 =2+3+6 11 11 yes A 0
## 2205 22 =2+3+7 12 12 yes A 0
## 2206 22 =2+5+6 13 13 yes A 0
## 2207 22 =2+7+1 10 10 yes A 0
## 2208 22 =2+8+3 13 13 yes A 0
## 2209 22 =3+1+5 9 9 yes A 0
## 2210 22 =3+1+7 11 11 yes A 0
## 2211 22 =3+2+5 10 10 yes A 0
## 2212 22 =3+4+2 9 9 yes A 0
## 2213 22 =3+5+4 12 12 yes A 0
## 2214 22 =3+5+6 14 14 yes A 0
## 2215 22 =3+6+2 11 11 yes A 0
## 2216 22 =3+7+2 12 12 yes A 0
## 2217 22 =4+1+7 12 12 yes A 0
## 2218 22 =4+1+8 13 13 yes A 0
## 2219 22 =4+3+2 9 9 yes A 0
## 2220 22 =4+6+1 11 11 yes A 0
## 2221 22 =4+6+2 12 12 yes A 0
## 2222 22 =4+6+3 13 13 yes A 0
## 2223 22 =5+1+3 9 9 yes A 0
## 2224 22 =5+1+4 10 10 yes A 0
## 2225 22 =5+1+6 12 12 yes A 0
## 2226 22 =5+2+4 11 11 yes A 0
## 2227 22 =5+4+1 10 10 yes A 0
## 2228 22 =6+1+2 9 9 yes A 0
## 2229 22 =6+4+1 11 11 yes A 0
## 2230 22 =6+5+1 12 12 yes A 0
## 2231 22 =7+1+3 11 11 yes A 0
## 2232 22 =7+1+4 12 12 yes A 0
## 2233 22 =7+1+5 13 13 yes A 0
## 2234 22 =7+2+1 10 10 yes A 0
## 2235 22 =8+2+1 11 11 yes A 0
## 2236 22 =8+2+4 14 14 yes A 0
## 2237 22 =3-2-1 0 2 no S -2
## 2238 22 =4-1-3 0 5 no S -5
## 2239 22 =5-2-3 0 1 no S -1
## 2240 22 =5-4-1 0 3 no S -3
## 2241 22 =6-1-5 0 4 no S -4
## 2242 22 =6-2-1 3 0 no S 3
## 2243 22 =6-2-3 1 0 no S 1
## 2244 22 =6-2-4 0 1 no S -1
## 2245 22 =6-3-1 2 0 no S 2
## 2246 22 =7-2-1 4 0 no S 4
## 2247 22 =7-3-4 0 2 no S -2
## 2248 22 =7-4-1 2 0 no S 2
## 2249 22 =7-4-2 1 0 no S 1
## 2250 22 =7-5-2 0 1 no S -1
## 2251 22 =7-6-1 0 2 no S -2
## 2252 22 =8-1-4 3 2 no S 1
## 2253 22 =8-2-1 5 0 no S 5
## 2254 22 =8-2-6 0 1 no S -1
## 2255 22 =8-3-1 4 0 no S 4
## 2256 22 =8-3-4 1 0 no S 1
## 2257 22 =8-5-1 2 0 no S 2
## 2258 22 =8-5-2 1 6 no S -5
## 2259 22 =8-5-3 0 1 no S -1
## 2260 22 =8-7-1 0 4 no S -4
## 2261 22 =9-1-3 5 0 no S 5
## 2262 22 =9-1-5 3 0 no S 3
## 2263 22 =9-1-6 2 4 no S -2
## 2264 22 =9-2-1 6 3 no S 3
## 2265 22 =9-2-7 0 1 no S -1
## 2266 22 =9-3-2 4 0 no S 4
## 2267 22 =9-3-4 2 0 no S 2
## 2268 22 =9-3-5 1 0 no S 1
## 2269 22 =9-3-6 0 2 no S -2
## 2270 22 =9-4-2 3 0 no S 3
## 2271 22 =9-4-5 0 3 no S -3
## 2272 22 =9-6-2 1 5 no S -4
## 2273 22 =9-8-1 0 3 no S -3
## 2274 22 =3-1-2 0 0 yes S 0
## 2275 22 =4-3-1 0 0 yes S 0
## 2276 22 =5-1-4 0 0 yes S 0
## 2277 22 =5-3-2 0 0 yes S 0
## 2278 22 =6-1-2 3 3 yes S 0
## 2279 22 =6-1-3 2 2 yes S 0
## 2280 22 =6-3-2 1 1 yes S 0
## 2281 22 =6-4-2 0 0 yes S 0
## 2282 22 =6-5-1 0 0 yes S 0
## 2283 22 =7-1-2 4 4 yes S 0
## 2284 22 =7-1-4 2 2 yes S 0
## 2285 22 =7-1-6 0 0 yes S 0
## 2286 22 =7-2-4 1 1 yes S 0
## 2287 22 =7-2-5 0 0 yes S 0
## 2288 22 =7-4-3 0 0 yes S 0
## 2289 22 =8-1-2 5 5 yes S 0
## 2290 22 =8-1-3 4 4 yes S 0
## 2291 22 =8-1-5 2 2 yes S 0
## 2292 22 =8-1-7 0 0 yes S 0
## 2293 22 =8-2-5 1 1 yes S 0
## 2294 22 =8-3-5 0 0 yes S 0
## 2295 22 =8-4-1 3 3 yes S 0
## 2296 22 =8-4-3 1 1 yes S 0
## 2297 22 =8-6-2 0 0 yes S 0
## 2298 22 =9-1-2 6 6 yes S 0
## 2299 22 =9-1-8 0 0 yes S 0
## 2300 22 =9-2-3 4 4 yes S 0
## 2301 22 =9-2-4 3 3 yes S 0
## 2302 22 =9-2-6 1 1 yes S 0
## 2303 22 =9-3-1 5 5 yes S 0
## 2304 22 =9-4-3 2 2 yes S 0
## 2305 22 =9-5-1 3 3 yes S 0
## 2306 22 =9-5-3 1 1 yes S 0
## 2307 22 =9-5-4 0 0 yes S 0
## 2308 22 =9-6-1 2 2 yes S 0
## 2309 22 =9-6-3 0 0 yes S 0
## 2310 22 =9-7-2 0 0 yes S 0
## 2311 23 =1+2+9 12 8 no A 4
## 2312 23 =1+3+6 10 14 no A -4
## 2313 23 =1+5+3 9 12 no A -3
## 2314 23 =1+6+2 9 10 no A -1
## 2315 23 =1+7+2 10 11 no A -1
## 2316 23 =2+3+5 10 12 no A -2
## 2317 23 =2+4+5 11 10 no A 1
## 2318 23 =2+6+4 12 9 no A 3
## 2319 23 =2+7+5 14 13 no A 1
## 2320 23 =2+8+1 11 13 no A -2
## 2321 23 =3+1+4 8 9 no A -1
## 2322 23 =3+2+4 9 11 no A -2
## 2323 23 =3+2+6 11 13 no A -2
## 2324 23 =3+7+1 11 9 no A 2
## 2325 23 =4+1+5 10 12 no A -2
## 2326 23 =4+1+6 11 12 no A -1
## 2327 23 =4+2+3 9 12 no A -3
## 2328 23 =4+2+6 12 10 no A 2
## 2329 23 =4+2+7 13 9 no A 4
## 2330 23 =4+5+1 10 11 no A -1
## 2331 23 =4+5+2 11 9 no A 2
## 2332 23 =4+7+1 12 10 no A 2
## 2333 23 =5+1+2 8 13 no A -5
## 2334 23 =5+3+1 9 10 no A -1
## 2335 23 =5+3+2 10 12 no A -2
## 2336 23 =5+3+4 12 11 no A 1
## 2337 23 =6+1+5 12 13 no A -1
## 2338 23 =6+2+1 9 14 no A -5
## 2339 23 =6+2+3 11 12 no A -1
## 2340 23 =6+4+2 12 11 no A 1
## 2341 23 =6+4+3 13 12 no A 1
## 2342 23 =6+5+2 13 10 no A 3
## 2343 23 =7+2+3 12 13 no A -1
## 2344 23 =7+3+1 11 12 no A -1
## 2345 23 =7+3+2 12 8 no A 4
## 2346 23 =7+3+4 14 11 no A 3
## 2347 23 =8+2+3 13 9 no A 4
## 2348 23 =9+1+2 12 11 no A 1
## 2349 23 =9+1+3 13 12 no A 1
## 2350 23 =9+3+1 13 11 no A 2
## 2351 23 =1+2+5 8 8 yes A 0
## 2352 23 =1+3+5 9 9 yes A 0
## 2353 23 =1+4+3 8 8 yes A 0
## 2354 23 =1+6+3 10 10 yes A 0
## 2355 23 =1+9+2 12 12 yes A 0
## 2356 23 =1+9+3 13 13 yes A 0
## 2357 23 =2+1+9 12 12 yes A 0
## 2358 23 =2+3+6 11 11 yes A 0
## 2359 23 =2+3+7 12 12 yes A 0
## 2360 23 =2+5+6 13 13 yes A 0
## 2361 23 =2+7+1 10 10 yes A 0
## 2362 23 =2+8+3 13 13 yes A 0
## 2363 23 =3+1+5 9 9 yes A 0
## 2364 23 =3+1+7 11 11 yes A 0
## 2365 23 =3+2+5 10 10 yes A 0
## 2366 23 =3+4+2 9 9 yes A 0
## 2367 23 =3+5+4 12 12 yes A 0
## 2368 23 =3+5+6 14 14 yes A 0
## 2369 23 =3+6+2 11 11 yes A 0
## 2370 23 =3+7+2 12 12 yes A 0
## 2371 23 =4+1+7 12 12 yes A 0
## 2372 23 =4+1+8 13 13 yes A 0
## 2373 23 =4+3+2 9 9 yes A 0
## 2374 23 =4+6+1 11 11 yes A 0
## 2375 23 =4+6+2 12 12 yes A 0
## 2376 23 =4+6+3 13 13 yes A 0
## 2377 23 =5+1+3 9 9 yes A 0
## 2378 23 =5+1+4 10 10 yes A 0
## 2379 23 =5+1+6 12 12 yes A 0
## 2380 23 =5+2+4 11 11 yes A 0
## 2381 23 =5+4+1 10 10 yes A 0
## 2382 23 =6+1+2 9 9 yes A 0
## 2383 23 =6+4+1 11 11 yes A 0
## 2384 23 =6+5+1 12 12 yes A 0
## 2385 23 =7+1+3 11 11 yes A 0
## 2386 23 =7+1+4 12 12 yes A 0
## 2387 23 =7+1+5 13 13 yes A 0
## 2388 23 =7+2+1 10 10 yes A 0
## 2389 23 =8+2+1 11 11 yes A 0
## 2390 23 =8+2+4 14 14 yes A 0
## 2391 23 =3-2-1 0 2 no S -2
## 2392 23 =4-1-3 0 5 no S -5
## 2393 23 =5-2-3 0 1 no S -1
## 2394 23 =5-4-1 0 3 no S -3
## 2395 23 =6-1-5 0 4 no S -4
## 2396 23 =6-2-1 3 0 no S 3
## 2397 23 =6-2-3 1 0 no S 1
## 2398 23 =6-2-4 0 1 no S -1
## 2399 23 =6-3-1 2 0 no S 2
## 2400 23 =7-2-1 4 0 no S 4
## 2401 23 =7-3-4 0 2 no S -2
## 2402 23 =7-4-1 2 0 no S 2
## 2403 23 =7-4-2 1 0 no S 1
## 2404 23 =7-5-2 0 1 no S -1
## 2405 23 =7-6-1 0 2 no S -2
## 2406 23 =8-1-4 3 2 no S 1
## 2407 23 =8-2-1 5 0 no S 5
## 2408 23 =8-2-6 0 1 no S -1
## 2409 23 =8-3-1 4 0 no S 4
## 2410 23 =8-3-4 1 0 no S 1
## 2411 23 =8-5-1 2 0 no S 2
## 2412 23 =8-5-2 1 6 no S -5
## 2413 23 =8-5-3 0 1 no S -1
## 2414 23 =8-7-1 0 4 no S -4
## 2415 23 =9-1-3 5 0 no S 5
## 2416 23 =9-1-5 3 0 no S 3
## 2417 23 =9-1-6 2 4 no S -2
## 2418 23 =9-2-1 6 3 no S 3
## 2419 23 =9-2-7 0 1 no S -1
## 2420 23 =9-3-2 4 0 no S 4
## 2421 23 =9-3-4 2 0 no S 2
## 2422 23 =9-3-5 1 0 no S 1
## 2423 23 =9-3-6 0 2 no S -2
## 2424 23 =9-4-2 3 0 no S 3
## 2425 23 =9-4-5 0 3 no S -3
## 2426 23 =9-6-2 1 5 no S -4
## 2427 23 =9-8-1 0 3 no S -3
## 2428 23 =3-1-2 0 0 yes S 0
## 2429 23 =4-3-1 0 0 yes S 0
## 2430 23 =5-1-4 0 0 yes S 0
## 2431 23 =5-3-2 0 0 yes S 0
## 2432 23 =6-1-2 3 3 yes S 0
## 2433 23 =6-1-3 2 2 yes S 0
## 2434 23 =6-3-2 1 1 yes S 0
## 2435 23 =6-4-2 0 0 yes S 0
## 2436 23 =6-5-1 0 0 yes S 0
## 2437 23 =7-1-2 4 4 yes S 0
## 2438 23 =7-1-4 2 2 yes S 0
## 2439 23 =7-1-6 0 0 yes S 0
## 2440 23 =7-2-4 1 1 yes S 0
## 2441 23 =7-2-5 0 0 yes S 0
## 2442 23 =7-4-3 0 0 yes S 0
## 2443 23 =8-1-2 5 5 yes S 0
## 2444 23 =8-1-3 4 4 yes S 0
## 2445 23 =8-1-5 2 2 yes S 0
## 2446 23 =8-1-7 0 0 yes S 0
## 2447 23 =8-2-5 1 1 yes S 0
## 2448 23 =8-3-5 0 0 yes S 0
## 2449 23 =8-4-1 3 3 yes S 0
## 2450 23 =8-4-3 1 1 yes S 0
## 2451 23 =8-6-2 0 0 yes S 0
## 2452 23 =9-1-2 6 6 yes S 0
## 2453 23 =9-1-8 0 0 yes S 0
## 2454 23 =9-2-3 4 4 yes S 0
## 2455 23 =9-2-4 3 3 yes S 0
## 2456 23 =9-2-6 1 1 yes S 0
## 2457 23 =9-3-1 5 5 yes S 0
## 2458 23 =9-4-3 2 2 yes S 0
## 2459 23 =9-5-1 3 3 yes S 0
## 2460 23 =9-5-3 1 1 yes S 0
## 2461 23 =9-5-4 0 0 yes S 0
## 2462 23 =9-6-1 2 2 yes S 0
## 2463 23 =9-6-3 0 0 yes S 0
## 2464 23 =9-7-2 0 0 yes S 0
## 2465 24 =1+2+9 12 8 no A 4
## 2466 24 =1+3+6 10 14 no A -4
## 2467 24 =1+5+3 9 12 no A -3
## 2468 24 =1+6+2 9 10 no A -1
## 2469 24 =1+7+2 10 11 no A -1
## 2470 24 =2+3+5 10 12 no A -2
## 2471 24 =2+4+5 11 10 no A 1
## 2472 24 =2+6+4 12 9 no A 3
## 2473 24 =2+7+5 14 13 no A 1
## 2474 24 =2+8+1 11 13 no A -2
## 2475 24 =3+1+4 8 9 no A -1
## 2476 24 =3+2+4 9 11 no A -2
## 2477 24 =3+2+6 11 13 no A -2
## 2478 24 =3+7+1 11 9 no A 2
## 2479 24 =4+1+5 10 12 no A -2
## 2480 24 =4+1+6 11 12 no A -1
## 2481 24 =4+2+3 9 12 no A -3
## 2482 24 =4+2+6 12 10 no A 2
## 2483 24 =4+2+7 13 9 no A 4
## 2484 24 =4+5+1 10 11 no A -1
## 2485 24 =4+5+2 11 9 no A 2
## 2486 24 =4+7+1 12 10 no A 2
## 2487 24 =5+1+2 8 13 no A -5
## 2488 24 =5+3+1 9 10 no A -1
## 2489 24 =5+3+2 10 12 no A -2
## 2490 24 =5+3+4 12 11 no A 1
## 2491 24 =6+1+5 12 13 no A -1
## 2492 24 =6+2+1 9 14 no A -5
## 2493 24 =6+2+3 11 12 no A -1
## 2494 24 =6+4+2 12 11 no A 1
## 2495 24 =6+4+3 13 12 no A 1
## 2496 24 =6+5+2 13 10 no A 3
## 2497 24 =7+2+3 12 13 no A -1
## 2498 24 =7+3+1 11 12 no A -1
## 2499 24 =7+3+2 12 8 no A 4
## 2500 24 =7+3+4 14 11 no A 3
## 2501 24 =8+2+3 13 9 no A 4
## 2502 24 =9+1+2 12 11 no A 1
## 2503 24 =9+1+3 13 12 no A 1
## 2504 24 =9+3+1 13 11 no A 2
## 2505 24 =1+2+5 8 8 yes A 0
## 2506 24 =1+3+5 9 9 yes A 0
## 2507 24 =1+4+3 8 8 yes A 0
## 2508 24 =1+6+3 10 10 yes A 0
## 2509 24 =1+9+2 12 12 yes A 0
## 2510 24 =1+9+3 13 13 yes A 0
## 2511 24 =2+1+9 12 12 yes A 0
## 2512 24 =2+3+6 11 11 yes A 0
## 2513 24 =2+3+7 12 12 yes A 0
## 2514 24 =2+5+6 13 13 yes A 0
## 2515 24 =2+7+1 10 10 yes A 0
## 2516 24 =2+8+3 13 13 yes A 0
## 2517 24 =3+1+5 9 9 yes A 0
## 2518 24 =3+1+7 11 11 yes A 0
## 2519 24 =3+2+5 10 10 yes A 0
## 2520 24 =3+4+2 9 9 yes A 0
## 2521 24 =3+5+4 12 12 yes A 0
## 2522 24 =3+5+6 14 14 yes A 0
## 2523 24 =3+6+2 11 11 yes A 0
## 2524 24 =3+7+2 12 12 yes A 0
## 2525 24 =4+1+7 12 12 yes A 0
## 2526 24 =4+1+8 13 13 yes A 0
## 2527 24 =4+3+2 9 9 yes A 0
## 2528 24 =4+6+1 11 11 yes A 0
## 2529 24 =4+6+2 12 12 yes A 0
## 2530 24 =4+6+3 13 13 yes A 0
## 2531 24 =5+1+3 9 9 yes A 0
## 2532 24 =5+1+4 10 10 yes A 0
## 2533 24 =5+1+6 12 12 yes A 0
## 2534 24 =5+2+4 11 11 yes A 0
## 2535 24 =5+4+1 10 10 yes A 0
## 2536 24 =6+1+2 9 9 yes A 0
## 2537 24 =6+4+1 11 11 yes A 0
## 2538 24 =6+5+1 12 12 yes A 0
## 2539 24 =7+1+3 11 11 yes A 0
## 2540 24 =7+1+4 12 12 yes A 0
## 2541 24 =7+1+5 13 13 yes A 0
## 2542 24 =7+2+1 10 10 yes A 0
## 2543 24 =8+2+1 11 11 yes A 0
## 2544 24 =8+2+4 14 14 yes A 0
## 2545 24 =3-2-1 0 2 no S -2
## 2546 24 =4-1-3 0 5 no S -5
## 2547 24 =5-2-3 0 1 no S -1
## 2548 24 =5-4-1 0 3 no S -3
## 2549 24 =6-1-5 0 4 no S -4
## 2550 24 =6-2-1 3 0 no S 3
## 2551 24 =6-2-3 1 0 no S 1
## 2552 24 =6-2-4 0 1 no S -1
## 2553 24 =6-3-1 2 0 no S 2
## 2554 24 =7-2-1 4 0 no S 4
## 2555 24 =7-3-4 0 2 no S -2
## 2556 24 =7-4-1 2 0 no S 2
## 2557 24 =7-4-2 1 0 no S 1
## 2558 24 =7-5-2 0 1 no S -1
## 2559 24 =7-6-1 0 2 no S -2
## 2560 24 =8-1-4 3 2 no S 1
## 2561 24 =8-2-1 5 0 no S 5
## 2562 24 =8-2-6 0 1 no S -1
## 2563 24 =8-3-1 4 0 no S 4
## 2564 24 =8-3-4 1 0 no S 1
## 2565 24 =8-5-1 2 0 no S 2
## 2566 24 =8-5-2 1 6 no S -5
## 2567 24 =8-5-3 0 1 no S -1
## 2568 24 =8-7-1 0 4 no S -4
## 2569 24 =9-1-3 5 0 no S 5
## 2570 24 =9-1-5 3 0 no S 3
## 2571 24 =9-1-6 2 4 no S -2
## 2572 24 =9-2-1 6 3 no S 3
## 2573 24 =9-2-7 0 1 no S -1
## 2574 24 =9-3-2 4 0 no S 4
## 2575 24 =9-3-4 2 0 no S 2
## 2576 24 =9-3-5 1 0 no S 1
## 2577 24 =9-3-6 0 2 no S -2
## 2578 24 =9-4-2 3 0 no S 3
## 2579 24 =9-4-5 0 3 no S -3
## 2580 24 =9-6-2 1 5 no S -4
## 2581 24 =9-8-1 0 3 no S -3
## 2582 24 =3-1-2 0 0 yes S 0
## 2583 24 =4-3-1 0 0 yes S 0
## 2584 24 =5-1-4 0 0 yes S 0
## 2585 24 =5-3-2 0 0 yes S 0
## 2586 24 =6-1-2 3 3 yes S 0
## 2587 24 =6-1-3 2 2 yes S 0
## 2588 24 =6-3-2 1 1 yes S 0
## 2589 24 =6-4-2 0 0 yes S 0
## 2590 24 =6-5-1 0 0 yes S 0
## 2591 24 =7-1-2 4 4 yes S 0
## 2592 24 =7-1-4 2 2 yes S 0
## 2593 24 =7-1-6 0 0 yes S 0
## 2594 24 =7-2-4 1 1 yes S 0
## 2595 24 =7-2-5 0 0 yes S 0
## 2596 24 =7-4-3 0 0 yes S 0
## 2597 24 =8-1-2 5 5 yes S 0
## 2598 24 =8-1-3 4 4 yes S 0
## 2599 24 =8-1-5 2 2 yes S 0
## 2600 24 =8-1-7 0 0 yes S 0
## 2601 24 =8-2-5 1 1 yes S 0
## 2602 24 =8-3-5 0 0 yes S 0
## 2603 24 =8-4-1 3 3 yes S 0
## 2604 24 =8-4-3 1 1 yes S 0
## 2605 24 =8-6-2 0 0 yes S 0
## 2606 24 =9-1-2 6 6 yes S 0
## 2607 24 =9-1-8 0 0 yes S 0
## 2608 24 =9-2-3 4 4 yes S 0
## 2609 24 =9-2-4 3 3 yes S 0
## 2610 24 =9-2-6 1 1 yes S 0
## 2611 24 =9-3-1 5 5 yes S 0
## 2612 24 =9-4-3 2 2 yes S 0
## 2613 24 =9-5-1 3 3 yes S 0
## 2614 24 =9-5-3 1 1 yes S 0
## 2615 24 =9-5-4 0 0 yes S 0
## 2616 24 =9-6-1 2 2 yes S 0
## 2617 24 =9-6-3 0 0 yes S 0
## 2618 24 =9-7-2 0 0 yes S 0
## 2619 25 =1+2+9 12 8 no A 4
## 2620 25 =1+3+6 10 14 no A -4
## 2621 25 =1+5+3 9 12 no A -3
## 2622 25 =1+6+2 9 10 no A -1
## 2623 25 =1+7+2 10 11 no A -1
## 2624 25 =2+3+5 10 12 no A -2
## 2625 25 =2+4+5 11 10 no A 1
## 2626 25 =2+6+4 12 9 no A 3
## 2627 25 =2+7+5 14 13 no A 1
## 2628 25 =2+8+1 11 13 no A -2
## 2629 25 =3+1+4 8 9 no A -1
## 2630 25 =3+2+4 9 11 no A -2
## 2631 25 =3+2+6 11 13 no A -2
## 2632 25 =3+7+1 11 9 no A 2
## 2633 25 =4+1+5 10 12 no A -2
## 2634 25 =4+1+6 11 12 no A -1
## 2635 25 =4+2+3 9 12 no A -3
## 2636 25 =4+2+6 12 10 no A 2
## 2637 25 =4+2+7 13 9 no A 4
## 2638 25 =4+5+1 10 11 no A -1
## 2639 25 =4+5+2 11 9 no A 2
## 2640 25 =4+7+1 12 10 no A 2
## 2641 25 =5+1+2 8 13 no A -5
## 2642 25 =5+3+1 9 10 no A -1
## 2643 25 =5+3+2 10 12 no A -2
## 2644 25 =5+3+4 12 11 no A 1
## 2645 25 =6+1+5 12 13 no A -1
## 2646 25 =6+2+1 9 14 no A -5
## 2647 25 =6+2+3 11 12 no A -1
## 2648 25 =6+4+2 12 11 no A 1
## 2649 25 =6+4+3 13 12 no A 1
## 2650 25 =6+5+2 13 10 no A 3
## 2651 25 =7+2+3 12 13 no A -1
## 2652 25 =7+3+1 11 12 no A -1
## 2653 25 =7+3+2 12 8 no A 4
## 2654 25 =7+3+4 14 11 no A 3
## 2655 25 =8+2+3 13 9 no A 4
## 2656 25 =9+1+2 12 11 no A 1
## 2657 25 =9+1+3 13 12 no A 1
## 2658 25 =9+3+1 13 11 no A 2
## 2659 25 =1+2+5 8 8 yes A 0
## 2660 25 =1+3+5 9 9 yes A 0
## 2661 25 =1+4+3 8 8 yes A 0
## 2662 25 =1+6+3 10 10 yes A 0
## 2663 25 =1+9+2 12 12 yes A 0
## 2664 25 =1+9+3 13 13 yes A 0
## 2665 25 =2+1+9 12 12 yes A 0
## 2666 25 =2+3+6 11 11 yes A 0
## 2667 25 =2+3+7 12 12 yes A 0
## 2668 25 =2+5+6 13 13 yes A 0
## 2669 25 =2+7+1 10 10 yes A 0
## 2670 25 =2+8+3 13 13 yes A 0
## 2671 25 =3+1+5 9 9 yes A 0
## 2672 25 =3+1+7 11 11 yes A 0
## 2673 25 =3+2+5 10 10 yes A 0
## 2674 25 =3+4+2 9 9 yes A 0
## 2675 25 =3+5+4 12 12 yes A 0
## 2676 25 =3+5+6 14 14 yes A 0
## 2677 25 =3+6+2 11 11 yes A 0
## 2678 25 =3+7+2 12 12 yes A 0
## 2679 25 =4+1+7 12 12 yes A 0
## 2680 25 =4+1+8 13 13 yes A 0
## 2681 25 =4+3+2 9 9 yes A 0
## 2682 25 =4+6+1 11 11 yes A 0
## 2683 25 =4+6+2 12 12 yes A 0
## 2684 25 =4+6+3 13 13 yes A 0
## 2685 25 =5+1+3 9 9 yes A 0
## 2686 25 =5+1+4 10 10 yes A 0
## 2687 25 =5+1+6 12 12 yes A 0
## 2688 25 =5+2+4 11 11 yes A 0
## 2689 25 =5+4+1 10 10 yes A 0
## 2690 25 =6+1+2 9 9 yes A 0
## 2691 25 =6+4+1 11 11 yes A 0
## 2692 25 =6+5+1 12 12 yes A 0
## 2693 25 =7+1+3 11 11 yes A 0
## 2694 25 =7+1+4 12 12 yes A 0
## 2695 25 =7+1+5 13 13 yes A 0
## 2696 25 =7+2+1 10 10 yes A 0
## 2697 25 =8+2+1 11 11 yes A 0
## 2698 25 =8+2+4 14 14 yes A 0
## 2699 25 =3-2-1 0 2 no S -2
## 2700 25 =4-1-3 0 5 no S -5
## 2701 25 =5-2-3 0 1 no S -1
## 2702 25 =5-4-1 0 3 no S -3
## 2703 25 =6-1-5 0 4 no S -4
## 2704 25 =6-2-1 3 0 no S 3
## 2705 25 =6-2-3 1 0 no S 1
## 2706 25 =6-2-4 0 1 no S -1
## 2707 25 =6-3-1 2 0 no S 2
## 2708 25 =7-2-1 4 0 no S 4
## 2709 25 =7-3-4 0 2 no S -2
## 2710 25 =7-4-1 2 0 no S 2
## 2711 25 =7-4-2 1 0 no S 1
## 2712 25 =7-5-2 0 1 no S -1
## 2713 25 =7-6-1 0 2 no S -2
## 2714 25 =8-1-4 3 2 no S 1
## 2715 25 =8-2-1 5 0 no S 5
## 2716 25 =8-2-6 0 1 no S -1
## 2717 25 =8-3-1 4 0 no S 4
## 2718 25 =8-3-4 1 0 no S 1
## 2719 25 =8-5-1 2 0 no S 2
## 2720 25 =8-5-2 1 6 no S -5
## 2721 25 =8-5-3 0 1 no S -1
## 2722 25 =8-7-1 0 4 no S -4
## 2723 25 =9-1-3 5 0 no S 5
## 2724 25 =9-1-5 3 0 no S 3
## 2725 25 =9-1-6 2 4 no S -2
## 2726 25 =9-2-1 6 3 no S 3
## 2727 25 =9-2-7 0 1 no S -1
## 2728 25 =9-3-2 4 0 no S 4
## 2729 25 =9-3-4 2 0 no S 2
## 2730 25 =9-3-5 1 0 no S 1
## 2731 25 =9-3-6 0 2 no S -2
## 2732 25 =9-4-2 3 0 no S 3
## 2733 25 =9-4-5 0 3 no S -3
## 2734 25 =9-6-2 1 5 no S -4
## 2735 25 =9-8-1 0 3 no S -3
## 2736 25 =3-1-2 0 0 yes S 0
## 2737 25 =4-3-1 0 0 yes S 0
## 2738 25 =5-1-4 0 0 yes S 0
## 2739 25 =5-3-2 0 0 yes S 0
## 2740 25 =6-1-2 3 3 yes S 0
## 2741 25 =6-1-3 2 2 yes S 0
## 2742 25 =6-3-2 1 1 yes S 0
## 2743 25 =6-4-2 0 0 yes S 0
## 2744 25 =6-5-1 0 0 yes S 0
## 2745 25 =7-1-2 4 4 yes S 0
## 2746 25 =7-1-4 2 2 yes S 0
## 2747 25 =7-1-6 0 0 yes S 0
## 2748 25 =7-2-4 1 1 yes S 0
## 2749 25 =7-2-5 0 0 yes S 0
## 2750 25 =7-4-3 0 0 yes S 0
## 2751 25 =8-1-2 5 5 yes S 0
## 2752 25 =8-1-3 4 4 yes S 0
## 2753 25 =8-1-5 2 2 yes S 0
## 2754 25 =8-1-7 0 0 yes S 0
## 2755 25 =8-2-5 1 1 yes S 0
## 2756 25 =8-3-5 0 0 yes S 0
## 2757 25 =8-4-1 3 3 yes S 0
## 2758 25 =8-4-3 1 1 yes S 0
## 2759 25 =8-6-2 0 0 yes S 0
## 2760 25 =9-1-2 6 6 yes S 0
## 2761 25 =9-1-8 0 0 yes S 0
## 2762 25 =9-2-3 4 4 yes S 0
## 2763 25 =9-2-4 3 3 yes S 0
## 2764 25 =9-2-6 1 1 yes S 0
## 2765 25 =9-3-1 5 5 yes S 0
## 2766 25 =9-4-3 2 2 yes S 0
## 2767 25 =9-5-1 3 3 yes S 0
## 2768 25 =9-5-3 1 1 yes S 0
## 2769 25 =9-5-4 0 0 yes S 0
## 2770 25 =9-6-1 2 2 yes S 0
## 2771 25 =9-6-3 0 0 yes S 0
## 2772 25 =9-7-2 0 0 yes S 0
## 2773 26 =1+2+9 12 8 no A 4
## 2774 26 =1+3+6 10 14 no A -4
## 2775 26 =1+5+3 9 12 no A -3
## 2776 26 =1+6+2 9 10 no A -1
## 2777 26 =1+7+2 10 11 no A -1
## 2778 26 =2+3+5 10 12 no A -2
## 2779 26 =2+4+5 11 10 no A 1
## 2780 26 =2+6+4 12 9 no A 3
## 2781 26 =2+7+5 14 13 no A 1
## 2782 26 =2+8+1 11 13 no A -2
## 2783 26 =3+1+4 8 9 no A -1
## 2784 26 =3+2+4 9 11 no A -2
## 2785 26 =3+2+6 11 13 no A -2
## 2786 26 =3+7+1 11 9 no A 2
## 2787 26 =4+1+5 10 12 no A -2
## 2788 26 =4+1+6 11 12 no A -1
## 2789 26 =4+2+3 9 12 no A -3
## 2790 26 =4+2+6 12 10 no A 2
## 2791 26 =4+2+7 13 9 no A 4
## 2792 26 =4+5+1 10 11 no A -1
## 2793 26 =4+5+2 11 9 no A 2
## 2794 26 =4+7+1 12 10 no A 2
## 2795 26 =5+1+2 8 13 no A -5
## 2796 26 =5+3+1 9 10 no A -1
## 2797 26 =5+3+2 10 12 no A -2
## 2798 26 =5+3+4 12 11 no A 1
## 2799 26 =6+1+5 12 13 no A -1
## 2800 26 =6+2+1 9 14 no A -5
## 2801 26 =6+2+3 11 12 no A -1
## 2802 26 =6+4+2 12 11 no A 1
## 2803 26 =6+4+3 13 12 no A 1
## 2804 26 =6+5+2 13 10 no A 3
## 2805 26 =7+2+3 12 13 no A -1
## 2806 26 =7+3+1 11 12 no A -1
## 2807 26 =7+3+2 12 8 no A 4
## 2808 26 =7+3+4 14 11 no A 3
## 2809 26 =8+2+3 13 9 no A 4
## 2810 26 =9+1+2 12 11 no A 1
## 2811 26 =9+1+3 13 12 no A 1
## 2812 26 =9+3+1 13 11 no A 2
## 2813 26 =1+2+5 8 8 yes A 0
## 2814 26 =1+3+5 9 9 yes A 0
## 2815 26 =1+4+3 8 8 yes A 0
## 2816 26 =1+6+3 10 10 yes A 0
## 2817 26 =1+9+2 12 12 yes A 0
## 2818 26 =1+9+3 13 13 yes A 0
## 2819 26 =2+1+9 12 12 yes A 0
## 2820 26 =2+3+6 11 11 yes A 0
## 2821 26 =2+3+7 12 12 yes A 0
## 2822 26 =2+5+6 13 13 yes A 0
## 2823 26 =2+7+1 10 10 yes A 0
## 2824 26 =2+8+3 13 13 yes A 0
## 2825 26 =3+1+5 9 9 yes A 0
## 2826 26 =3+1+7 11 11 yes A 0
## 2827 26 =3+2+5 10 10 yes A 0
## 2828 26 =3+4+2 9 9 yes A 0
## 2829 26 =3+5+4 12 12 yes A 0
## 2830 26 =3+5+6 14 14 yes A 0
## 2831 26 =3+6+2 11 11 yes A 0
## 2832 26 =3+7+2 12 12 yes A 0
## 2833 26 =4+1+7 12 12 yes A 0
## 2834 26 =4+1+8 13 13 yes A 0
## 2835 26 =4+3+2 9 9 yes A 0
## 2836 26 =4+6+1 11 11 yes A 0
## 2837 26 =4+6+2 12 12 yes A 0
## 2838 26 =4+6+3 13 13 yes A 0
## 2839 26 =5+1+3 9 9 yes A 0
## 2840 26 =5+1+4 10 10 yes A 0
## 2841 26 =5+1+6 12 12 yes A 0
## 2842 26 =5+2+4 11 11 yes A 0
## 2843 26 =5+4+1 10 10 yes A 0
## 2844 26 =6+1+2 9 9 yes A 0
## 2845 26 =6+4+1 11 11 yes A 0
## 2846 26 =6+5+1 12 12 yes A 0
## 2847 26 =7+1+3 11 11 yes A 0
## 2848 26 =7+1+4 12 12 yes A 0
## 2849 26 =7+1+5 13 13 yes A 0
## 2850 26 =7+2+1 10 10 yes A 0
## 2851 26 =8+2+1 11 11 yes A 0
## 2852 26 =8+2+4 14 14 yes A 0
## 2853 26 =3-2-1 0 2 no S -2
## 2854 26 =4-1-3 0 5 no S -5
## 2855 26 =5-2-3 0 1 no S -1
## 2856 26 =5-4-1 0 3 no S -3
## 2857 26 =6-1-5 0 4 no S -4
## 2858 26 =6-2-1 3 0 no S 3
## 2859 26 =6-2-3 1 0 no S 1
## 2860 26 =6-2-4 0 1 no S -1
## 2861 26 =6-3-1 2 0 no S 2
## 2862 26 =7-2-1 4 0 no S 4
## 2863 26 =7-3-4 0 2 no S -2
## 2864 26 =7-4-1 2 0 no S 2
## 2865 26 =7-4-2 1 0 no S 1
## 2866 26 =7-5-2 0 1 no S -1
## 2867 26 =7-6-1 0 2 no S -2
## 2868 26 =8-1-4 3 2 no S 1
## 2869 26 =8-2-1 5 0 no S 5
## 2870 26 =8-2-6 0 1 no S -1
## 2871 26 =8-3-1 4 0 no S 4
## 2872 26 =8-3-4 1 0 no S 1
## 2873 26 =8-5-1 2 0 no S 2
## 2874 26 =8-5-2 1 6 no S -5
## 2875 26 =8-5-3 0 1 no S -1
## 2876 26 =8-7-1 0 4 no S -4
## 2877 26 =9-1-3 5 0 no S 5
## 2878 26 =9-1-5 3 0 no S 3
## 2879 26 =9-1-6 2 4 no S -2
## 2880 26 =9-2-1 6 3 no S 3
## 2881 26 =9-2-7 0 1 no S -1
## 2882 26 =9-3-2 4 0 no S 4
## 2883 26 =9-3-4 2 0 no S 2
## 2884 26 =9-3-5 1 0 no S 1
## 2885 26 =9-3-6 0 2 no S -2
## 2886 26 =9-4-2 3 0 no S 3
## 2887 26 =9-4-5 0 3 no S -3
## 2888 26 =9-6-2 1 5 no S -4
## 2889 26 =9-8-1 0 3 no S -3
## 2890 26 =3-1-2 0 0 yes S 0
## 2891 26 =4-3-1 0 0 yes S 0
## 2892 26 =5-1-4 0 0 yes S 0
## 2893 26 =5-3-2 0 0 yes S 0
## 2894 26 =6-1-2 3 3 yes S 0
## 2895 26 =6-1-3 2 2 yes S 0
## 2896 26 =6-3-2 1 1 yes S 0
## 2897 26 =6-4-2 0 0 yes S 0
## 2898 26 =6-5-1 0 0 yes S 0
## 2899 26 =7-1-2 4 4 yes S 0
## 2900 26 =7-1-4 2 2 yes S 0
## 2901 26 =7-1-6 0 0 yes S 0
## 2902 26 =7-2-4 1 1 yes S 0
## 2903 26 =7-2-5 0 0 yes S 0
## 2904 26 =7-4-3 0 0 yes S 0
## 2905 26 =8-1-2 5 5 yes S 0
## 2906 26 =8-1-3 4 4 yes S 0
## 2907 26 =8-1-5 2 2 yes S 0
## 2908 26 =8-1-7 0 0 yes S 0
## 2909 26 =8-2-5 1 1 yes S 0
## 2910 26 =8-3-5 0 0 yes S 0
## 2911 26 =8-4-1 3 3 yes S 0
## 2912 26 =8-4-3 1 1 yes S 0
## 2913 26 =8-6-2 0 0 yes S 0
## 2914 26 =9-1-2 6 6 yes S 0
## 2915 26 =9-1-8 0 0 yes S 0
## 2916 26 =9-2-3 4 4 yes S 0
## 2917 26 =9-2-4 3 3 yes S 0
## 2918 26 =9-2-6 1 1 yes S 0
## 2919 26 =9-3-1 5 5 yes S 0
## 2920 26 =9-4-3 2 2 yes S 0
## 2921 26 =9-5-1 3 3 yes S 0
## 2922 26 =9-5-3 1 1 yes S 0
## 2923 26 =9-5-4 0 0 yes S 0
## 2924 26 =9-6-1 2 2 yes S 0
## 2925 26 =9-6-3 0 0 yes S 0
## 2926 26 =9-7-2 0 0 yes S 0
## 2927 27 =1+2+9 12 8 no A 4
## 2928 27 =1+3+6 10 14 no A -4
## 2929 27 =1+5+3 9 12 no A -3
## 2930 27 =1+6+2 9 10 no A -1
## 2931 27 =1+7+2 10 11 no A -1
## 2932 27 =2+3+5 10 12 no A -2
## 2933 27 =2+4+5 11 10 no A 1
## 2934 27 =2+6+4 12 9 no A 3
## 2935 27 =2+7+5 14 13 no A 1
## 2936 27 =2+8+1 11 13 no A -2
## 2937 27 =3+1+4 8 9 no A -1
## 2938 27 =3+2+4 9 11 no A -2
## 2939 27 =3+2+6 11 13 no A -2
## 2940 27 =3+7+1 11 9 no A 2
## 2941 27 =4+1+5 10 12 no A -2
## 2942 27 =4+1+6 11 12 no A -1
## 2943 27 =4+2+3 9 12 no A -3
## 2944 27 =4+2+6 12 10 no A 2
## 2945 27 =4+2+7 13 9 no A 4
## 2946 27 =4+5+1 10 11 no A -1
## 2947 27 =4+5+2 11 9 no A 2
## 2948 27 =4+7+1 12 10 no A 2
## 2949 27 =5+1+2 8 13 no A -5
## 2950 27 =5+3+1 9 10 no A -1
## 2951 27 =5+3+2 10 12 no A -2
## 2952 27 =5+3+4 12 11 no A 1
## 2953 27 =6+1+5 12 13 no A -1
## 2954 27 =6+2+1 9 14 no A -5
## 2955 27 =6+2+3 11 12 no A -1
## 2956 27 =6+4+2 12 11 no A 1
## 2957 27 =6+4+3 13 12 no A 1
## 2958 27 =6+5+2 13 10 no A 3
## 2959 27 =7+2+3 12 13 no A -1
## 2960 27 =7+3+1 11 12 no A -1
## 2961 27 =7+3+2 12 8 no A 4
## 2962 27 =7+3+4 14 11 no A 3
## 2963 27 =8+2+3 13 9 no A 4
## 2964 27 =9+1+2 12 11 no A 1
## 2965 27 =9+1+3 13 12 no A 1
## 2966 27 =9+3+1 13 11 no A 2
## 2967 27 =1+2+5 8 8 yes A 0
## 2968 27 =1+3+5 9 9 yes A 0
## 2969 27 =1+4+3 8 8 yes A 0
## 2970 27 =1+6+3 10 10 yes A 0
## 2971 27 =1+9+2 12 12 yes A 0
## 2972 27 =1+9+3 13 13 yes A 0
## 2973 27 =2+1+9 12 12 yes A 0
## 2974 27 =2+3+6 11 11 yes A 0
## 2975 27 =2+3+7 12 12 yes A 0
## 2976 27 =2+5+6 13 13 yes A 0
## 2977 27 =2+7+1 10 10 yes A 0
## 2978 27 =2+8+3 13 13 yes A 0
## 2979 27 =3+1+5 9 9 yes A 0
## 2980 27 =3+1+7 11 11 yes A 0
## 2981 27 =3+2+5 10 10 yes A 0
## 2982 27 =3+4+2 9 9 yes A 0
## 2983 27 =3+5+4 12 12 yes A 0
## 2984 27 =3+5+6 14 14 yes A 0
## 2985 27 =3+6+2 11 11 yes A 0
## 2986 27 =3+7+2 12 12 yes A 0
## 2987 27 =4+1+7 12 12 yes A 0
## 2988 27 =4+1+8 13 13 yes A 0
## 2989 27 =4+3+2 9 9 yes A 0
## 2990 27 =4+6+1 11 11 yes A 0
## 2991 27 =4+6+2 12 12 yes A 0
## 2992 27 =4+6+3 13 13 yes A 0
## 2993 27 =5+1+3 9 9 yes A 0
## 2994 27 =5+1+4 10 10 yes A 0
## 2995 27 =5+1+6 12 12 yes A 0
## 2996 27 =5+2+4 11 11 yes A 0
## 2997 27 =5+4+1 10 10 yes A 0
## 2998 27 =6+1+2 9 9 yes A 0
## 2999 27 =6+4+1 11 11 yes A 0
## 3000 27 =6+5+1 12 12 yes A 0
## 3001 27 =7+1+3 11 11 yes A 0
## 3002 27 =7+1+4 12 12 yes A 0
## 3003 27 =7+1+5 13 13 yes A 0
## 3004 27 =7+2+1 10 10 yes A 0
## 3005 27 =8+2+1 11 11 yes A 0
## 3006 27 =8+2+4 14 14 yes A 0
## 3007 27 =3-2-1 0 2 no S -2
## 3008 27 =4-1-3 0 5 no S -5
## 3009 27 =5-2-3 0 1 no S -1
## 3010 27 =5-4-1 0 3 no S -3
## 3011 27 =6-1-5 0 4 no S -4
## 3012 27 =6-2-1 3 0 no S 3
## 3013 27 =6-2-3 1 0 no S 1
## 3014 27 =6-2-4 0 1 no S -1
## 3015 27 =6-3-1 2 0 no S 2
## 3016 27 =7-2-1 4 0 no S 4
## 3017 27 =7-3-4 0 2 no S -2
## 3018 27 =7-4-1 2 0 no S 2
## 3019 27 =7-4-2 1 0 no S 1
## 3020 27 =7-5-2 0 1 no S -1
## 3021 27 =7-6-1 0 2 no S -2
## 3022 27 =8-1-4 3 2 no S 1
## 3023 27 =8-2-1 5 0 no S 5
## 3024 27 =8-2-6 0 1 no S -1
## 3025 27 =8-3-1 4 0 no S 4
## 3026 27 =8-3-4 1 0 no S 1
## 3027 27 =8-5-1 2 0 no S 2
## 3028 27 =8-5-2 1 6 no S -5
## 3029 27 =8-5-3 0 1 no S -1
## 3030 27 =8-7-1 0 4 no S -4
## 3031 27 =9-1-3 5 0 no S 5
## 3032 27 =9-1-5 3 0 no S 3
## 3033 27 =9-1-6 2 4 no S -2
## 3034 27 =9-2-1 6 3 no S 3
## 3035 27 =9-2-7 0 1 no S -1
## 3036 27 =9-3-2 4 0 no S 4
## 3037 27 =9-3-4 2 0 no S 2
## 3038 27 =9-3-5 1 0 no S 1
## 3039 27 =9-3-6 0 2 no S -2
## 3040 27 =9-4-2 3 0 no S 3
## 3041 27 =9-4-5 0 3 no S -3
## 3042 27 =9-6-2 1 5 no S -4
## 3043 27 =9-8-1 0 3 no S -3
## 3044 27 =3-1-2 0 0 yes S 0
## 3045 27 =4-3-1 0 0 yes S 0
## 3046 27 =5-1-4 0 0 yes S 0
## 3047 27 =5-3-2 0 0 yes S 0
## 3048 27 =6-1-2 3 3 yes S 0
## 3049 27 =6-1-3 2 2 yes S 0
## 3050 27 =6-3-2 1 1 yes S 0
## 3051 27 =6-4-2 0 0 yes S 0
## 3052 27 =6-5-1 0 0 yes S 0
## 3053 27 =7-1-2 4 4 yes S 0
## 3054 27 =7-1-4 2 2 yes S 0
## 3055 27 =7-1-6 0 0 yes S 0
## 3056 27 =7-2-4 1 1 yes S 0
## 3057 27 =7-2-5 0 0 yes S 0
## 3058 27 =7-4-3 0 0 yes S 0
## 3059 27 =8-1-2 5 5 yes S 0
## 3060 27 =8-1-3 4 4 yes S 0
## 3061 27 =8-1-5 2 2 yes S 0
## 3062 27 =8-1-7 0 0 yes S 0
## 3063 27 =8-2-5 1 1 yes S 0
## 3064 27 =8-3-5 0 0 yes S 0
## 3065 27 =8-4-1 3 3 yes S 0
## 3066 27 =8-4-3 1 1 yes S 0
## 3067 27 =8-6-2 0 0 yes S 0
## 3068 27 =9-1-2 6 6 yes S 0
## 3069 27 =9-1-8 0 0 yes S 0
## 3070 27 =9-2-3 4 4 yes S 0
## 3071 27 =9-2-4 3 3 yes S 0
## 3072 27 =9-2-6 1 1 yes S 0
## 3073 27 =9-3-1 5 5 yes S 0
## 3074 27 =9-4-3 2 2 yes S 0
## 3075 27 =9-5-1 3 3 yes S 0
## 3076 27 =9-5-3 1 1 yes S 0
## 3077 27 =9-5-4 0 0 yes S 0
## 3078 27 =9-6-1 2 2 yes S 0
## 3079 27 =9-6-3 0 0 yes S 0
## 3080 27 =9-7-2 0 0 yes S 0
## 3081 28 =1+2+9 12 8 no A 4
## 3082 28 =1+3+6 10 14 no A -4
## 3083 28 =1+5+3 9 12 no A -3
## 3084 28 =1+6+2 9 10 no A -1
## 3085 28 =1+7+2 10 11 no A -1
## 3086 28 =2+3+5 10 12 no A -2
## 3087 28 =2+4+5 11 10 no A 1
## 3088 28 =2+6+4 12 9 no A 3
## 3089 28 =2+7+5 14 13 no A 1
## 3090 28 =2+8+1 11 13 no A -2
## 3091 28 =3+1+4 8 9 no A -1
## 3092 28 =3+2+4 9 11 no A -2
## 3093 28 =3+2+6 11 13 no A -2
## 3094 28 =3+7+1 11 9 no A 2
## 3095 28 =4+1+5 10 12 no A -2
## 3096 28 =4+1+6 11 12 no A -1
## 3097 28 =4+2+3 9 12 no A -3
## 3098 28 =4+2+6 12 10 no A 2
## 3099 28 =4+2+7 13 9 no A 4
## 3100 28 =4+5+1 10 11 no A -1
## 3101 28 =4+5+2 11 9 no A 2
## 3102 28 =4+7+1 12 10 no A 2
## 3103 28 =5+1+2 8 13 no A -5
## 3104 28 =5+3+1 9 10 no A -1
## 3105 28 =5+3+2 10 12 no A -2
## 3106 28 =5+3+4 12 11 no A 1
## 3107 28 =6+1+5 12 13 no A -1
## 3108 28 =6+2+1 9 14 no A -5
## 3109 28 =6+2+3 11 12 no A -1
## 3110 28 =6+4+2 12 11 no A 1
## 3111 28 =6+4+3 13 12 no A 1
## 3112 28 =6+5+2 13 10 no A 3
## 3113 28 =7+2+3 12 13 no A -1
## 3114 28 =7+3+1 11 12 no A -1
## 3115 28 =7+3+2 12 8 no A 4
## 3116 28 =7+3+4 14 11 no A 3
## 3117 28 =8+2+3 13 9 no A 4
## 3118 28 =9+1+2 12 11 no A 1
## 3119 28 =9+1+3 13 12 no A 1
## 3120 28 =9+3+1 13 11 no A 2
## 3121 28 =1+2+5 8 8 yes A 0
## 3122 28 =1+3+5 9 9 yes A 0
## 3123 28 =1+4+3 8 8 yes A 0
## 3124 28 =1+6+3 10 10 yes A 0
## 3125 28 =1+9+2 12 12 yes A 0
## 3126 28 =1+9+3 13 13 yes A 0
## 3127 28 =2+1+9 12 12 yes A 0
## 3128 28 =2+3+6 11 11 yes A 0
## 3129 28 =2+3+7 12 12 yes A 0
## 3130 28 =2+5+6 13 13 yes A 0
## 3131 28 =2+7+1 10 10 yes A 0
## 3132 28 =2+8+3 13 13 yes A 0
## 3133 28 =3+1+5 9 9 yes A 0
## 3134 28 =3+1+7 11 11 yes A 0
## 3135 28 =3+2+5 10 10 yes A 0
## 3136 28 =3+4+2 9 9 yes A 0
## 3137 28 =3+5+4 12 12 yes A 0
## 3138 28 =3+5+6 14 14 yes A 0
## 3139 28 =3+6+2 11 11 yes A 0
## 3140 28 =3+7+2 12 12 yes A 0
## 3141 28 =4+1+7 12 12 yes A 0
## 3142 28 =4+1+8 13 13 yes A 0
## 3143 28 =4+3+2 9 9 yes A 0
## 3144 28 =4+6+1 11 11 yes A 0
## 3145 28 =4+6+2 12 12 yes A 0
## 3146 28 =4+6+3 13 13 yes A 0
## 3147 28 =5+1+3 9 9 yes A 0
## 3148 28 =5+1+4 10 10 yes A 0
## 3149 28 =5+1+6 12 12 yes A 0
## 3150 28 =5+2+4 11 11 yes A 0
## 3151 28 =5+4+1 10 10 yes A 0
## 3152 28 =6+1+2 9 9 yes A 0
## 3153 28 =6+4+1 11 11 yes A 0
## 3154 28 =6+5+1 12 12 yes A 0
## 3155 28 =7+1+3 11 11 yes A 0
## 3156 28 =7+1+4 12 12 yes A 0
## 3157 28 =7+1+5 13 13 yes A 0
## 3158 28 =7+2+1 10 10 yes A 0
## 3159 28 =8+2+1 11 11 yes A 0
## 3160 28 =8+2+4 14 14 yes A 0
## 3161 28 =3-2-1 0 2 no S -2
## 3162 28 =4-1-3 0 5 no S -5
## 3163 28 =5-2-3 0 1 no S -1
## 3164 28 =5-4-1 0 3 no S -3
## 3165 28 =6-1-5 0 4 no S -4
## 3166 28 =6-2-1 3 0 no S 3
## 3167 28 =6-2-3 1 0 no S 1
## 3168 28 =6-2-4 0 1 no S -1
## 3169 28 =6-3-1 2 0 no S 2
## 3170 28 =7-2-1 4 0 no S 4
## 3171 28 =7-3-4 0 2 no S -2
## 3172 28 =7-4-1 2 0 no S 2
## 3173 28 =7-4-2 1 0 no S 1
## 3174 28 =7-5-2 0 1 no S -1
## 3175 28 =7-6-1 0 2 no S -2
## 3176 28 =8-1-4 3 2 no S 1
## 3177 28 =8-2-1 5 0 no S 5
## 3178 28 =8-2-6 0 1 no S -1
## 3179 28 =8-3-1 4 0 no S 4
## 3180 28 =8-3-4 1 0 no S 1
## 3181 28 =8-5-1 2 0 no S 2
## 3182 28 =8-5-2 1 6 no S -5
## 3183 28 =8-5-3 0 1 no S -1
## 3184 28 =8-7-1 0 4 no S -4
## 3185 28 =9-1-3 5 0 no S 5
## 3186 28 =9-1-5 3 0 no S 3
## 3187 28 =9-1-6 2 4 no S -2
## 3188 28 =9-2-1 6 3 no S 3
## 3189 28 =9-2-7 0 1 no S -1
## 3190 28 =9-3-2 4 0 no S 4
## 3191 28 =9-3-4 2 0 no S 2
## 3192 28 =9-3-5 1 0 no S 1
## 3193 28 =9-3-6 0 2 no S -2
## 3194 28 =9-4-2 3 0 no S 3
## 3195 28 =9-4-5 0 3 no S -3
## 3196 28 =9-6-2 1 5 no S -4
## 3197 28 =9-8-1 0 3 no S -3
## 3198 28 =3-1-2 0 0 yes S 0
## 3199 28 =4-3-1 0 0 yes S 0
## 3200 28 =5-1-4 0 0 yes S 0
## 3201 28 =5-3-2 0 0 yes S 0
## 3202 28 =6-1-2 3 3 yes S 0
## 3203 28 =6-1-3 2 2 yes S 0
## 3204 28 =6-3-2 1 1 yes S 0
## 3205 28 =6-4-2 0 0 yes S 0
## 3206 28 =6-5-1 0 0 yes S 0
## 3207 28 =7-1-2 4 4 yes S 0
## 3208 28 =7-1-4 2 2 yes S 0
## 3209 28 =7-1-6 0 0 yes S 0
## 3210 28 =7-2-4 1 1 yes S 0
## 3211 28 =7-2-5 0 0 yes S 0
## 3212 28 =7-4-3 0 0 yes S 0
## 3213 28 =8-1-2 5 5 yes S 0
## 3214 28 =8-1-3 4 4 yes S 0
## 3215 28 =8-1-5 2 2 yes S 0
## 3216 28 =8-1-7 0 0 yes S 0
## 3217 28 =8-2-5 1 1 yes S 0
## 3218 28 =8-3-5 0 0 yes S 0
## 3219 28 =8-4-1 3 3 yes S 0
## 3220 28 =8-4-3 1 1 yes S 0
## 3221 28 =8-6-2 0 0 yes S 0
## 3222 28 =9-1-2 6 6 yes S 0
## 3223 28 =9-1-8 0 0 yes S 0
## 3224 28 =9-2-3 4 4 yes S 0
## 3225 28 =9-2-4 3 3 yes S 0
## 3226 28 =9-2-6 1 1 yes S 0
## 3227 28 =9-3-1 5 5 yes S 0
## 3228 28 =9-4-3 2 2 yes S 0
## 3229 28 =9-5-1 3 3 yes S 0
## 3230 28 =9-5-3 1 1 yes S 0
## 3231 28 =9-5-4 0 0 yes S 0
## 3232 28 =9-6-1 2 2 yes S 0
## 3233 28 =9-6-3 0 0 yes S 0
## 3234 28 =9-7-2 0 0 yes S 0
## 3235 29 =1+2+9 12 8 no A 4
## 3236 29 =1+3+6 10 14 no A -4
## 3237 29 =1+5+3 9 12 no A -3
## 3238 29 =1+6+2 9 10 no A -1
## 3239 29 =1+7+2 10 11 no A -1
## 3240 29 =2+3+5 10 12 no A -2
## 3241 29 =2+4+5 11 10 no A 1
## 3242 29 =2+6+4 12 9 no A 3
## 3243 29 =2+7+5 14 13 no A 1
## 3244 29 =2+8+1 11 13 no A -2
## 3245 29 =3+1+4 8 9 no A -1
## 3246 29 =3+2+4 9 11 no A -2
## 3247 29 =3+2+6 11 13 no A -2
## 3248 29 =3+7+1 11 9 no A 2
## 3249 29 =4+1+5 10 12 no A -2
## 3250 29 =4+1+6 11 12 no A -1
## 3251 29 =4+2+3 9 12 no A -3
## 3252 29 =4+2+6 12 10 no A 2
## 3253 29 =4+2+7 13 9 no A 4
## 3254 29 =4+5+1 10 11 no A -1
## 3255 29 =4+5+2 11 9 no A 2
## 3256 29 =4+7+1 12 10 no A 2
## 3257 29 =5+1+2 8 13 no A -5
## 3258 29 =5+3+1 9 10 no A -1
## 3259 29 =5+3+2 10 12 no A -2
## 3260 29 =5+3+4 12 11 no A 1
## 3261 29 =6+1+5 12 13 no A -1
## 3262 29 =6+2+1 9 14 no A -5
## 3263 29 =6+2+3 11 12 no A -1
## 3264 29 =6+4+2 12 11 no A 1
## 3265 29 =6+4+3 13 12 no A 1
## 3266 29 =6+5+2 13 10 no A 3
## 3267 29 =7+2+3 12 13 no A -1
## 3268 29 =7+3+1 11 12 no A -1
## 3269 29 =7+3+2 12 8 no A 4
## 3270 29 =7+3+4 14 11 no A 3
## 3271 29 =8+2+3 13 9 no A 4
## 3272 29 =9+1+2 12 11 no A 1
## 3273 29 =9+1+3 13 12 no A 1
## 3274 29 =9+3+1 13 11 no A 2
## 3275 29 =1+2+5 8 8 yes A 0
## 3276 29 =1+3+5 9 9 yes A 0
## 3277 29 =1+4+3 8 8 yes A 0
## 3278 29 =1+6+3 10 10 yes A 0
## 3279 29 =1+9+2 12 12 yes A 0
## 3280 29 =1+9+3 13 13 yes A 0
## 3281 29 =2+1+9 12 12 yes A 0
## 3282 29 =2+3+6 11 11 yes A 0
## 3283 29 =2+3+7 12 12 yes A 0
## 3284 29 =2+5+6 13 13 yes A 0
## 3285 29 =2+7+1 10 10 yes A 0
## 3286 29 =2+8+3 13 13 yes A 0
## 3287 29 =3+1+5 9 9 yes A 0
## 3288 29 =3+1+7 11 11 yes A 0
## 3289 29 =3+2+5 10 10 yes A 0
## 3290 29 =3+4+2 9 9 yes A 0
## 3291 29 =3+5+4 12 12 yes A 0
## 3292 29 =3+5+6 14 14 yes A 0
## 3293 29 =3+6+2 11 11 yes A 0
## 3294 29 =3+7+2 12 12 yes A 0
## 3295 29 =4+1+7 12 12 yes A 0
## 3296 29 =4+1+8 13 13 yes A 0
## 3297 29 =4+3+2 9 9 yes A 0
## 3298 29 =4+6+1 11 11 yes A 0
## 3299 29 =4+6+2 12 12 yes A 0
## 3300 29 =4+6+3 13 13 yes A 0
## 3301 29 =5+1+3 9 9 yes A 0
## 3302 29 =5+1+4 10 10 yes A 0
## 3303 29 =5+1+6 12 12 yes A 0
## 3304 29 =5+2+4 11 11 yes A 0
## 3305 29 =5+4+1 10 10 yes A 0
## 3306 29 =6+1+2 9 9 yes A 0
## 3307 29 =6+4+1 11 11 yes A 0
## 3308 29 =6+5+1 12 12 yes A 0
## 3309 29 =7+1+3 11 11 yes A 0
## 3310 29 =7+1+4 12 12 yes A 0
## 3311 29 =7+1+5 13 13 yes A 0
## 3312 29 =7+2+1 10 10 yes A 0
## 3313 29 =8+2+1 11 11 yes A 0
## 3314 29 =8+2+4 14 14 yes A 0
## 3315 29 =3-2-1 0 2 no S -2
## 3316 29 =4-1-3 0 5 no S -5
## 3317 29 =5-2-3 0 1 no S -1
## 3318 29 =5-4-1 0 3 no S -3
## 3319 29 =6-1-5 0 4 no S -4
## 3320 29 =6-2-1 3 0 no S 3
## 3321 29 =6-2-3 1 0 no S 1
## 3322 29 =6-2-4 0 1 no S -1
## 3323 29 =6-3-1 2 0 no S 2
## 3324 29 =7-2-1 4 0 no S 4
## 3325 29 =7-3-4 0 2 no S -2
## 3326 29 =7-4-1 2 0 no S 2
## 3327 29 =7-4-2 1 0 no S 1
## 3328 29 =7-5-2 0 1 no S -1
## 3329 29 =7-6-1 0 2 no S -2
## 3330 29 =8-1-4 3 2 no S 1
## 3331 29 =8-2-1 5 0 no S 5
## 3332 29 =8-2-6 0 1 no S -1
## 3333 29 =8-3-1 4 0 no S 4
## 3334 29 =8-3-4 1 0 no S 1
## 3335 29 =8-5-1 2 0 no S 2
## 3336 29 =8-5-2 1 6 no S -5
## 3337 29 =8-5-3 0 1 no S -1
## 3338 29 =8-7-1 0 4 no S -4
## 3339 29 =9-1-3 5 0 no S 5
## 3340 29 =9-1-5 3 0 no S 3
## 3341 29 =9-1-6 2 4 no S -2
## 3342 29 =9-2-1 6 3 no S 3
## 3343 29 =9-2-7 0 1 no S -1
## 3344 29 =9-3-2 4 0 no S 4
## 3345 29 =9-3-4 2 0 no S 2
## 3346 29 =9-3-5 1 0 no S 1
## 3347 29 =9-3-6 0 2 no S -2
## 3348 29 =9-4-2 3 0 no S 3
## 3349 29 =9-4-5 0 3 no S -3
## 3350 29 =9-6-2 1 5 no S -4
## 3351 29 =9-8-1 0 3 no S -3
## 3352 29 =3-1-2 0 0 yes S 0
## 3353 29 =4-3-1 0 0 yes S 0
## 3354 29 =5-1-4 0 0 yes S 0
## 3355 29 =5-3-2 0 0 yes S 0
## 3356 29 =6-1-2 3 3 yes S 0
## 3357 29 =6-1-3 2 2 yes S 0
## 3358 29 =6-3-2 1 1 yes S 0
## 3359 29 =6-4-2 0 0 yes S 0
## 3360 29 =6-5-1 0 0 yes S 0
## 3361 29 =7-1-2 4 4 yes S 0
## 3362 29 =7-1-4 2 2 yes S 0
## 3363 29 =7-1-6 0 0 yes S 0
## 3364 29 =7-2-4 1 1 yes S 0
## 3365 29 =7-2-5 0 0 yes S 0
## 3366 29 =7-4-3 0 0 yes S 0
## 3367 29 =8-1-2 5 5 yes S 0
## 3368 29 =8-1-3 4 4 yes S 0
## 3369 29 =8-1-5 2 2 yes S 0
## 3370 29 =8-1-7 0 0 yes S 0
## 3371 29 =8-2-5 1 1 yes S 0
## 3372 29 =8-3-5 0 0 yes S 0
## 3373 29 =8-4-1 3 3 yes S 0
## 3374 29 =8-4-3 1 1 yes S 0
## 3375 29 =8-6-2 0 0 yes S 0
## 3376 29 =9-1-2 6 6 yes S 0
## 3377 29 =9-1-8 0 0 yes S 0
## 3378 29 =9-2-3 4 4 yes S 0
## 3379 29 =9-2-4 3 3 yes S 0
## 3380 29 =9-2-6 1 1 yes S 0
## 3381 29 =9-3-1 5 5 yes S 0
## 3382 29 =9-4-3 2 2 yes S 0
## 3383 29 =9-5-1 3 3 yes S 0
## 3384 29 =9-5-3 1 1 yes S 0
## 3385 29 =9-5-4 0 0 yes S 0
## 3386 29 =9-6-1 2 2 yes S 0
## 3387 29 =9-6-3 0 0 yes S 0
## 3388 29 =9-7-2 0 0 yes S 0
## 3389 3 =1+2+5 8 9 no A -1
## 3390 3 =1+3+5 9 11 no A -2
## 3391 3 =1+4+3 8 12 no A -4
## 3392 3 =1+6+3 10 12 no A -2
## 3393 3 =1+9+2 12 11 no A 1
## 3394 3 =1+9+3 13 12 no A 1
## 3395 3 =2+1+9 12 11 no A 1
## 3396 3 =2+3+6 11 10 no A 1
## 3397 3 =2+3+7 12 11 no A 1
## 3398 3 =2+5+6 13 9 no A 4
## 3399 3 =2+7+1 10 12 no A -2
## 3400 3 =2+8+3 13 11 no A 2
## 3401 3 =3+1+5 9 12 no A -3
## 3402 3 =3+1+7 11 12 no A -1
## 3403 3 =3+2+5 10 14 no A -4
## 3404 3 =3+4+2 9 10 no A -1
## 3405 3 =3+5+4 12 10 no A 2
## 3406 3 =3+5+6 14 13 no A 1
## 3407 3 =3+6+2 11 12 no A -1
## 3408 3 =3+7+2 12 8 no A 4
## 3409 3 =4+1+7 12 9 no A 3
## 3410 3 =4+1+8 13 10 no A 3
## 3411 3 =4+3+2 9 10 no A -1
## 3412 3 =4+6+1 11 12 no A -1
## 3413 3 =4+6+2 12 13 no A -1
## 3414 3 =4+6+3 13 12 no A 1
## 3415 3 =5+1+3 9 14 no A -5
## 3416 3 =5+1+4 10 11 no A -1
## 3417 3 =5+1+6 12 8 no A 4
## 3418 3 =5+2+4 11 13 no A -2
## 3419 3 =5+4+1 10 12 no A -2
## 3420 3 =6+1+2 9 13 no A -4
## 3421 3 =6+4+1 11 13 no A -2
## 3422 3 =6+5+1 12 13 no A -1
## 3423 3 =7+1+3 11 9 no A 2
## 3424 3 =7+1+4 12 10 no A 2
## 3425 3 =7+1+5 13 9 no A 4
## 3426 3 =7+2+1 10 11 no A -1
## 3427 3 =8+2+1 11 9 no A 2
## 3428 3 =8+2+4 14 11 no A 3
## 3429 3 =1+2+9 12 12 yes A 0
## 3430 3 =1+3+6 10 10 yes A 0
## 3431 3 =1+5+3 9 9 yes A 0
## 3432 3 =1+6+2 9 9 yes A 0
## 3433 3 =1+7+2 10 10 yes A 0
## 3434 3 =2+3+5 10 10 yes A 0
## 3435 3 =2+4+5 11 11 yes A 0
## 3436 3 =2+6+4 12 12 yes A 0
## 3437 3 =2+7+5 14 14 yes A 0
## 3438 3 =2+8+1 11 11 yes A 0
## 3439 3 =3+1+4 8 8 yes A 0
## 3440 3 =3+2+4 9 9 yes A 0
## 3441 3 =3+2+6 11 11 yes A 0
## 3442 3 =3+7+1 11 11 yes A 0
## 3443 3 =4+1+5 10 10 yes A 0
## 3444 3 =4+1+6 11 11 yes A 0
## 3445 3 =4+2+3 9 9 yes A 0
## 3446 3 =4+2+6 12 12 yes A 0
## 3447 3 =4+2+7 13 13 yes A 0
## 3448 3 =4+5+1 10 10 yes A 0
## 3449 3 =4+5+2 11 11 yes A 0
## 3450 3 =4+7+1 12 12 yes A 0
## 3451 3 =5+1+2 8 8 yes A 0
## 3452 3 =5+3+1 9 9 yes A 0
## 3453 3 =5+3+2 10 10 yes A 0
## 3454 3 =5+3+4 12 12 yes A 0
## 3455 3 =6+1+5 12 12 yes A 0
## 3456 3 =6+2+1 9 9 yes A 0
## 3457 3 =6+2+3 11 11 yes A 0
## 3458 3 =6+4+2 12 12 yes A 0
## 3459 3 =6+4+3 13 13 yes A 0
## 3460 3 =6+5+2 13 13 yes A 0
## 3461 3 =7+2+3 12 12 yes A 0
## 3462 3 =7+3+1 11 11 yes A 0
## 3463 3 =7+3+2 12 12 yes A 0
## 3464 3 =7+3+4 14 14 yes A 0
## 3465 3 =8+2+3 13 13 yes A 0
## 3466 3 =9+1+2 12 12 yes A 0
## 3467 3 =9+1+3 13 13 yes A 0
## 3468 3 =9+3+1 13 13 yes A 0
## 3469 3 =3-1-2 0 4 no S -4
## 3470 3 =4-3-1 0 2 no S -2
## 3471 3 =5-1-4 0 3 no S -3
## 3472 3 =5-3-2 0 1 no S -1
## 3473 3 =6-1-2 3 0 no S 3
## 3474 3 =6-1-3 2 0 no S 2
## 3475 3 =6-3-2 1 4 no S -3
## 3476 3 =6-4-2 0 1 no S -1
## 3477 3 =6-5-1 0 3 no S -3
## 3478 3 =7-1-2 4 0 no S 4
## 3479 3 =7-1-4 2 0 no S 2
## 3480 3 =7-1-6 0 3 no S -3
## 3481 3 =7-2-4 1 0 no S 1
## 3482 3 =7-2-5 0 1 no S -1
## 3483 3 =7-4-3 0 1 no S -1
## 3484 3 =8-1-2 5 0 no S 5
## 3485 3 =8-1-3 4 0 no S 4
## 3486 3 =8-1-5 2 0 no S 2
## 3487 3 =8-1-7 0 5 no S -5
## 3488 3 =8-2-5 1 6 no S -5
## 3489 3 =8-3-5 0 2 no S -2
## 3490 3 =8-4-1 3 0 no S 3
## 3491 3 =8-4-3 1 0 no S 1
## 3492 3 =8-6-2 0 5 no S -5
## 3493 3 =9-1-2 6 3 no S 3
## 3494 3 =9-1-8 0 2 no S -2
## 3495 3 =9-2-3 4 0 no S 4
## 3496 3 =9-2-4 3 0 no S 3
## 3497 3 =9-2-6 1 0 no S 1
## 3498 3 =9-3-1 5 0 no S 5
## 3499 3 =9-4-3 2 1 no S 1
## 3500 3 =9-5-1 3 2 no S 1
## 3501 3 =9-5-3 1 0 no S 1
## 3502 3 =9-5-4 0 2 no S -2
## 3503 3 =9-6-1 2 0 no S 2
## 3504 3 =9-6-3 0 1 no S -1
## 3505 3 =9-7-2 0 4 no S -4
## 3506 3 =3-2-1 0 0 yes S 0
## 3507 3 =4-1-3 0 0 yes S 0
## 3508 3 =5-2-3 0 0 yes S 0
## 3509 3 =5-4-1 0 0 yes S 0
## 3510 3 =6-1-5 0 0 yes S 0
## 3511 3 =6-2-1 3 3 yes S 0
## 3512 3 =6-2-3 1 1 yes S 0
## 3513 3 =6-2-4 0 0 yes S 0
## 3514 3 =6-3-1 2 2 yes S 0
## 3515 3 =7-2-1 4 4 yes S 0
## 3516 3 =7-3-4 0 0 yes S 0
## 3517 3 =7-4-1 2 2 yes S 0
## 3518 3 =7-4-2 1 1 yes S 0
## 3519 3 =7-5-2 0 0 yes S 0
## 3520 3 =7-6-1 0 0 yes S 0
## 3521 3 =8-1-4 3 3 yes S 0
## 3522 3 =8-2-1 5 5 yes S 0
## 3523 3 =8-2-6 0 0 yes S 0
## 3524 3 =8-3-1 4 4 yes S 0
## 3525 3 =8-3-4 1 1 yes S 0
## 3526 3 =8-5-1 2 2 yes S 0
## 3527 3 =8-5-2 1 1 yes S 0
## 3528 3 =8-5-3 0 0 yes S 0
## 3529 3 =8-7-1 0 0 yes S 0
## 3530 3 =9-1-3 5 5 yes S 0
## 3531 3 =9-1-5 3 3 yes S 0
## 3532 3 =9-1-6 2 2 yes S 0
## 3533 3 =9-2-1 6 6 yes S 0
## 3534 3 =9-2-7 0 0 yes S 0
## 3535 3 =9-3-2 4 4 yes S 0
## 3536 3 =9-3-4 2 2 yes S 0
## 3537 3 =9-3-5 1 1 yes S 0
## 3538 3 =9-3-6 0 0 yes S 0
## 3539 3 =9-4-2 3 3 yes S 0
## 3540 3 =9-4-5 0 0 yes S 0
## 3541 3 =9-6-2 1 1 yes S 0
## 3542 3 =9-8-1 0 0 yes S 0
## 3543 30 =1+2+9 12 8 no A 4
## 3544 30 =1+3+6 10 14 no A -4
## 3545 30 =1+5+3 9 12 no A -3
## 3546 30 =1+6+2 9 10 no A -1
## 3547 30 =1+7+2 10 11 no A -1
## 3548 30 =2+3+5 10 12 no A -2
## 3549 30 =2+4+5 11 10 no A 1
## 3550 30 =2+6+4 12 9 no A 3
## 3551 30 =2+7+5 14 13 no A 1
## 3552 30 =2+8+1 11 13 no A -2
## 3553 30 =3+1+4 8 9 no A -1
## 3554 30 =3+2+4 9 11 no A -2
## 3555 30 =3+2+6 11 13 no A -2
## 3556 30 =3+7+1 11 9 no A 2
## 3557 30 =4+1+5 10 12 no A -2
## 3558 30 =4+1+6 11 12 no A -1
## 3559 30 =4+2+3 9 12 no A -3
## 3560 30 =4+2+6 12 10 no A 2
## 3561 30 =4+2+7 13 9 no A 4
## 3562 30 =4+5+1 10 11 no A -1
## 3563 30 =4+5+2 11 9 no A 2
## 3564 30 =4+7+1 12 10 no A 2
## 3565 30 =5+1+2 8 13 no A -5
## 3566 30 =5+3+1 9 10 no A -1
## 3567 30 =5+3+2 10 12 no A -2
## 3568 30 =5+3+4 12 11 no A 1
## 3569 30 =6+1+5 12 13 no A -1
## 3570 30 =6+2+1 9 14 no A -5
## 3571 30 =6+2+3 11 12 no A -1
## 3572 30 =6+4+2 12 11 no A 1
## 3573 30 =6+4+3 13 12 no A 1
## 3574 30 =6+5+2 13 10 no A 3
## 3575 30 =7+2+3 12 13 no A -1
## 3576 30 =7+3+1 11 12 no A -1
## 3577 30 =7+3+2 12 8 no A 4
## 3578 30 =7+3+4 14 11 no A 3
## 3579 30 =8+2+3 13 9 no A 4
## 3580 30 =9+1+2 12 11 no A 1
## 3581 30 =9+1+3 13 12 no A 1
## 3582 30 =9+3+1 13 11 no A 2
## 3583 30 =1+2+5 8 8 yes A 0
## 3584 30 =1+3+5 9 9 yes A 0
## 3585 30 =1+4+3 8 8 yes A 0
## 3586 30 =1+6+3 10 10 yes A 0
## 3587 30 =1+9+2 12 12 yes A 0
## 3588 30 =1+9+3 13 13 yes A 0
## 3589 30 =2+1+9 12 12 yes A 0
## 3590 30 =2+3+6 11 11 yes A 0
## 3591 30 =2+3+7 12 12 yes A 0
## 3592 30 =2+5+6 13 13 yes A 0
## 3593 30 =2+7+1 10 10 yes A 0
## 3594 30 =2+8+3 13 13 yes A 0
## 3595 30 =3+1+5 9 9 yes A 0
## 3596 30 =3+1+7 11 11 yes A 0
## 3597 30 =3+2+5 10 10 yes A 0
## 3598 30 =3+4+2 9 9 yes A 0
## 3599 30 =3+5+4 12 12 yes A 0
## 3600 30 =3+5+6 14 14 yes A 0
## 3601 30 =3+6+2 11 11 yes A 0
## 3602 30 =3+7+2 12 12 yes A 0
## 3603 30 =4+1+7 12 12 yes A 0
## 3604 30 =4+1+8 13 13 yes A 0
## 3605 30 =4+3+2 9 9 yes A 0
## 3606 30 =4+6+1 11 11 yes A 0
## 3607 30 =4+6+2 12 12 yes A 0
## 3608 30 =4+6+3 13 13 yes A 0
## 3609 30 =5+1+3 9 9 yes A 0
## 3610 30 =5+1+4 10 10 yes A 0
## 3611 30 =5+1+6 12 12 yes A 0
## 3612 30 =5+2+4 11 11 yes A 0
## 3613 30 =5+4+1 10 10 yes A 0
## 3614 30 =6+1+2 9 9 yes A 0
## 3615 30 =6+4+1 11 11 yes A 0
## 3616 30 =6+5+1 12 12 yes A 0
## 3617 30 =7+1+3 11 11 yes A 0
## 3618 30 =7+1+4 12 12 yes A 0
## 3619 30 =7+1+5 13 13 yes A 0
## 3620 30 =7+2+1 10 10 yes A 0
## 3621 30 =8+2+1 11 11 yes A 0
## 3622 30 =8+2+4 14 14 yes A 0
## 3623 30 =3-2-1 0 2 no S -2
## 3624 30 =4-1-3 0 5 no S -5
## 3625 30 =5-2-3 0 1 no S -1
## 3626 30 =5-4-1 0 3 no S -3
## 3627 30 =6-1-5 0 4 no S -4
## 3628 30 =6-2-1 3 0 no S 3
## 3629 30 =6-2-3 1 0 no S 1
## 3630 30 =6-2-4 0 1 no S -1
## 3631 30 =6-3-1 2 0 no S 2
## 3632 30 =7-2-1 4 0 no S 4
## 3633 30 =7-3-4 0 2 no S -2
## 3634 30 =7-4-1 2 0 no S 2
## 3635 30 =7-4-2 1 0 no S 1
## 3636 30 =7-5-2 0 1 no S -1
## 3637 30 =7-6-1 0 2 no S -2
## 3638 30 =8-1-4 3 2 no S 1
## 3639 30 =8-2-1 5 0 no S 5
## 3640 30 =8-2-6 0 1 no S -1
## 3641 30 =8-3-1 4 0 no S 4
## 3642 30 =8-3-4 1 0 no S 1
## 3643 30 =8-5-1 2 0 no S 2
## 3644 30 =8-5-2 1 6 no S -5
## 3645 30 =8-5-3 0 1 no S -1
## 3646 30 =8-7-1 0 4 no S -4
## 3647 30 =9-1-3 5 0 no S 5
## 3648 30 =9-1-5 3 0 no S 3
## 3649 30 =9-1-6 2 4 no S -2
## 3650 30 =9-2-1 6 3 no S 3
## 3651 30 =9-2-7 0 1 no S -1
## 3652 30 =9-3-2 4 0 no S 4
## 3653 30 =9-3-4 2 0 no S 2
## 3654 30 =9-3-5 1 0 no S 1
## 3655 30 =9-3-6 0 2 no S -2
## 3656 30 =9-4-2 3 0 no S 3
## 3657 30 =9-4-5 0 3 no S -3
## 3658 30 =9-6-2 1 5 no S -4
## 3659 30 =9-8-1 0 3 no S -3
## 3660 30 =3-1-2 0 0 yes S 0
## 3661 30 =4-3-1 0 0 yes S 0
## 3662 30 =5-1-4 0 0 yes S 0
## 3663 30 =5-3-2 0 0 yes S 0
## 3664 30 =6-1-2 3 3 yes S 0
## 3665 30 =6-1-3 2 2 yes S 0
## 3666 30 =6-3-2 1 1 yes S 0
## 3667 30 =6-4-2 0 0 yes S 0
## 3668 30 =6-5-1 0 0 yes S 0
## 3669 30 =7-1-2 4 4 yes S 0
## 3670 30 =7-1-4 2 2 yes S 0
## 3671 30 =7-1-6 0 0 yes S 0
## 3672 30 =7-2-4 1 1 yes S 0
## 3673 30 =7-2-5 0 0 yes S 0
## 3674 30 =7-4-3 0 0 yes S 0
## 3675 30 =8-1-2 5 5 yes S 0
## 3676 30 =8-1-3 4 4 yes S 0
## 3677 30 =8-1-5 2 2 yes S 0
## 3678 30 =8-1-7 0 0 yes S 0
## 3679 30 =8-2-5 1 1 yes S 0
## 3680 30 =8-3-5 0 0 yes S 0
## 3681 30 =8-4-1 3 3 yes S 0
## 3682 30 =8-4-3 1 1 yes S 0
## 3683 30 =8-6-2 0 0 yes S 0
## 3684 30 =9-1-2 6 6 yes S 0
## 3685 30 =9-1-8 0 0 yes S 0
## 3686 30 =9-2-3 4 4 yes S 0
## 3687 30 =9-2-4 3 3 yes S 0
## 3688 30 =9-2-6 1 1 yes S 0
## 3689 30 =9-3-1 5 5 yes S 0
## 3690 30 =9-4-3 2 2 yes S 0
## 3691 30 =9-5-1 3 3 yes S 0
## 3692 30 =9-5-3 1 1 yes S 0
## 3693 30 =9-5-4 0 0 yes S 0
## 3694 30 =9-6-1 2 2 yes S 0
## 3695 30 =9-6-3 0 0 yes S 0
## 3696 30 =9-7-2 0 0 yes S 0
## 3697 31 =1+2+9 12 8 no A 4
## 3698 31 =1+3+6 10 14 no A -4
## 3699 31 =1+5+3 9 12 no A -3
## 3700 31 =1+6+2 9 10 no A -1
## 3701 31 =1+7+2 10 11 no A -1
## 3702 31 =2+3+5 10 12 no A -2
## 3703 31 =2+4+5 11 10 no A 1
## 3704 31 =2+6+4 12 9 no A 3
## 3705 31 =2+7+5 14 13 no A 1
## 3706 31 =2+8+1 11 13 no A -2
## 3707 31 =3+1+4 8 9 no A -1
## 3708 31 =3+2+4 9 11 no A -2
## 3709 31 =3+2+6 11 13 no A -2
## 3710 31 =3+7+1 11 9 no A 2
## 3711 31 =4+1+5 10 12 no A -2
## 3712 31 =4+1+6 11 12 no A -1
## 3713 31 =4+2+3 9 12 no A -3
## 3714 31 =4+2+6 12 10 no A 2
## 3715 31 =4+2+7 13 9 no A 4
## 3716 31 =4+5+1 10 11 no A -1
## 3717 31 =4+5+2 11 9 no A 2
## 3718 31 =4+7+1 12 10 no A 2
## 3719 31 =5+1+2 8 13 no A -5
## 3720 31 =5+3+1 9 10 no A -1
## 3721 31 =5+3+2 10 12 no A -2
## 3722 31 =5+3+4 12 11 no A 1
## 3723 31 =6+1+5 12 13 no A -1
## 3724 31 =6+2+1 9 14 no A -5
## 3725 31 =6+2+3 11 12 no A -1
## 3726 31 =6+4+2 12 11 no A 1
## 3727 31 =6+4+3 13 12 no A 1
## 3728 31 =6+5+2 13 10 no A 3
## 3729 31 =7+2+3 12 13 no A -1
## 3730 31 =7+3+1 11 12 no A -1
## 3731 31 =7+3+2 12 8 no A 4
## 3732 31 =7+3+4 14 11 no A 3
## 3733 31 =8+2+3 13 9 no A 4
## 3734 31 =9+1+2 12 11 no A 1
## 3735 31 =9+1+3 13 12 no A 1
## 3736 31 =9+3+1 13 11 no A 2
## 3737 31 =1+2+5 8 8 yes A 0
## 3738 31 =1+3+5 9 9 yes A 0
## 3739 31 =1+4+3 8 8 yes A 0
## 3740 31 =1+6+3 10 10 yes A 0
## 3741 31 =1+9+2 12 12 yes A 0
## 3742 31 =1+9+3 13 13 yes A 0
## 3743 31 =2+1+9 12 12 yes A 0
## 3744 31 =2+3+6 11 11 yes A 0
## 3745 31 =2+3+7 12 12 yes A 0
## 3746 31 =2+5+6 13 13 yes A 0
## 3747 31 =2+7+1 10 10 yes A 0
## 3748 31 =2+8+3 13 13 yes A 0
## 3749 31 =3+1+5 9 9 yes A 0
## 3750 31 =3+1+7 11 11 yes A 0
## 3751 31 =3+2+5 10 10 yes A 0
## 3752 31 =3+4+2 9 9 yes A 0
## 3753 31 =3+5+4 12 12 yes A 0
## 3754 31 =3+5+6 14 14 yes A 0
## 3755 31 =3+6+2 11 11 yes A 0
## 3756 31 =3+7+2 12 12 yes A 0
## 3757 31 =4+1+7 12 12 yes A 0
## 3758 31 =4+1+8 13 13 yes A 0
## 3759 31 =4+3+2 9 9 yes A 0
## 3760 31 =4+6+1 11 11 yes A 0
## 3761 31 =4+6+2 12 12 yes A 0
## 3762 31 =4+6+3 13 13 yes A 0
## 3763 31 =5+1+3 9 9 yes A 0
## 3764 31 =5+1+4 10 10 yes A 0
## 3765 31 =5+1+6 12 12 yes A 0
## 3766 31 =5+2+4 11 11 yes A 0
## 3767 31 =5+4+1 10 10 yes A 0
## 3768 31 =6+1+2 9 9 yes A 0
## 3769 31 =6+4+1 11 11 yes A 0
## 3770 31 =6+5+1 12 12 yes A 0
## 3771 31 =7+1+3 11 11 yes A 0
## 3772 31 =7+1+4 12 12 yes A 0
## 3773 31 =7+1+5 13 13 yes A 0
## 3774 31 =7+2+1 10 10 yes A 0
## 3775 31 =8+2+1 11 11 yes A 0
## 3776 31 =8+2+4 14 14 yes A 0
## 3777 31 =3-2-1 0 2 no S -2
## 3778 31 =4-1-3 0 5 no S -5
## 3779 31 =5-2-3 0 1 no S -1
## 3780 31 =5-4-1 0 3 no S -3
## 3781 31 =6-1-5 0 4 no S -4
## 3782 31 =6-2-1 3 0 no S 3
## 3783 31 =6-2-3 1 0 no S 1
## 3784 31 =6-2-4 0 1 no S -1
## 3785 31 =6-3-1 2 0 no S 2
## 3786 31 =7-2-1 4 0 no S 4
## 3787 31 =7-3-4 0 2 no S -2
## 3788 31 =7-4-1 2 0 no S 2
## 3789 31 =7-4-2 1 0 no S 1
## 3790 31 =7-5-2 0 1 no S -1
## 3791 31 =7-6-1 0 2 no S -2
## 3792 31 =8-1-4 3 2 no S 1
## 3793 31 =8-2-1 5 0 no S 5
## 3794 31 =8-2-6 0 1 no S -1
## 3795 31 =8-3-1 4 0 no S 4
## 3796 31 =8-3-4 1 0 no S 1
## 3797 31 =8-5-1 2 0 no S 2
## 3798 31 =8-5-2 1 6 no S -5
## 3799 31 =8-5-3 0 1 no S -1
## 3800 31 =8-7-1 0 4 no S -4
## 3801 31 =9-1-3 5 0 no S 5
## 3802 31 =9-1-5 3 0 no S 3
## 3803 31 =9-1-6 2 4 no S -2
## 3804 31 =9-2-1 6 3 no S 3
## 3805 31 =9-2-7 0 1 no S -1
## 3806 31 =9-3-2 4 0 no S 4
## 3807 31 =9-3-4 2 0 no S 2
## 3808 31 =9-3-5 1 0 no S 1
## 3809 31 =9-3-6 0 2 no S -2
## 3810 31 =9-4-2 3 0 no S 3
## 3811 31 =9-4-5 0 3 no S -3
## 3812 31 =9-6-2 1 5 no S -4
## 3813 31 =9-8-1 0 3 no S -3
## 3814 31 =3-1-2 0 0 yes S 0
## 3815 31 =4-3-1 0 0 yes S 0
## 3816 31 =5-1-4 0 0 yes S 0
## 3817 31 =5-3-2 0 0 yes S 0
## 3818 31 =6-1-2 3 3 yes S 0
## 3819 31 =6-1-3 2 2 yes S 0
## 3820 31 =6-3-2 1 1 yes S 0
## 3821 31 =6-4-2 0 0 yes S 0
## 3822 31 =6-5-1 0 0 yes S 0
## 3823 31 =7-1-2 4 4 yes S 0
## 3824 31 =7-1-4 2 2 yes S 0
## 3825 31 =7-1-6 0 0 yes S 0
## 3826 31 =7-2-4 1 1 yes S 0
## 3827 31 =7-2-5 0 0 yes S 0
## 3828 31 =7-4-3 0 0 yes S 0
## 3829 31 =8-1-2 5 5 yes S 0
## 3830 31 =8-1-3 4 4 yes S 0
## 3831 31 =8-1-5 2 2 yes S 0
## 3832 31 =8-1-7 0 0 yes S 0
## 3833 31 =8-2-5 1 1 yes S 0
## 3834 31 =8-3-5 0 0 yes S 0
## 3835 31 =8-4-1 3 3 yes S 0
## 3836 31 =8-4-3 1 1 yes S 0
## 3837 31 =8-6-2 0 0 yes S 0
## 3838 31 =9-1-2 6 6 yes S 0
## 3839 31 =9-1-8 0 0 yes S 0
## 3840 31 =9-2-3 4 4 yes S 0
## 3841 31 =9-2-4 3 3 yes S 0
## 3842 31 =9-2-6 1 1 yes S 0
## 3843 31 =9-3-1 5 5 yes S 0
## 3844 31 =9-4-3 2 2 yes S 0
## 3845 31 =9-5-1 3 3 yes S 0
## 3846 31 =9-5-3 1 1 yes S 0
## 3847 31 =9-5-4 0 0 yes S 0
## 3848 31 =9-6-1 2 2 yes S 0
## 3849 31 =9-6-3 0 0 yes S 0
## 3850 31 =9-7-2 0 0 yes S 0
## 3851 32 =1+2+9 12 8 no A 4
## 3852 32 =1+3+6 10 14 no A -4
## 3853 32 =1+5+3 9 12 no A -3
## 3854 32 =1+6+2 9 10 no A -1
## 3855 32 =1+7+2 10 11 no A -1
## 3856 32 =2+3+5 10 12 no A -2
## 3857 32 =2+4+5 11 10 no A 1
## 3858 32 =2+6+4 12 9 no A 3
## 3859 32 =2+7+5 14 13 no A 1
## 3860 32 =2+8+1 11 13 no A -2
## 3861 32 =3+1+4 8 9 no A -1
## 3862 32 =3+2+4 9 11 no A -2
## 3863 32 =3+2+6 11 13 no A -2
## 3864 32 =3+7+1 11 9 no A 2
## 3865 32 =4+1+5 10 12 no A -2
## 3866 32 =4+1+6 11 12 no A -1
## 3867 32 =4+2+3 9 12 no A -3
## 3868 32 =4+2+6 12 10 no A 2
## 3869 32 =4+2+7 13 9 no A 4
## 3870 32 =4+5+1 10 11 no A -1
## 3871 32 =4+5+2 11 9 no A 2
## 3872 32 =4+7+1 12 10 no A 2
## 3873 32 =5+1+2 8 13 no A -5
## 3874 32 =5+3+1 9 10 no A -1
## 3875 32 =5+3+2 10 12 no A -2
## 3876 32 =5+3+4 12 11 no A 1
## 3877 32 =6+1+5 12 13 no A -1
## 3878 32 =6+2+1 9 14 no A -5
## 3879 32 =6+2+3 11 12 no A -1
## 3880 32 =6+4+2 12 11 no A 1
## 3881 32 =6+4+3 13 12 no A 1
## 3882 32 =6+5+2 13 10 no A 3
## 3883 32 =7+2+3 12 13 no A -1
## 3884 32 =7+3+1 11 12 no A -1
## 3885 32 =7+3+2 12 8 no A 4
## 3886 32 =7+3+4 14 11 no A 3
## 3887 32 =8+2+3 13 9 no A 4
## 3888 32 =9+1+2 12 11 no A 1
## 3889 32 =9+1+3 13 12 no A 1
## 3890 32 =9+3+1 13 11 no A 2
## 3891 32 =1+2+5 8 8 yes A 0
## 3892 32 =1+3+5 9 9 yes A 0
## 3893 32 =1+4+3 8 8 yes A 0
## 3894 32 =1+6+3 10 10 yes A 0
## 3895 32 =1+9+2 12 12 yes A 0
## 3896 32 =1+9+3 13 13 yes A 0
## 3897 32 =2+1+9 12 12 yes A 0
## 3898 32 =2+3+6 11 11 yes A 0
## 3899 32 =2+3+7 12 12 yes A 0
## 3900 32 =2+5+6 13 13 yes A 0
## 3901 32 =2+7+1 10 10 yes A 0
## 3902 32 =2+8+3 13 13 yes A 0
## 3903 32 =3+1+5 9 9 yes A 0
## 3904 32 =3+1+7 11 11 yes A 0
## 3905 32 =3+2+5 10 10 yes A 0
## 3906 32 =3+4+2 9 9 yes A 0
## 3907 32 =3+5+4 12 12 yes A 0
## 3908 32 =3+5+6 14 14 yes A 0
## 3909 32 =3+6+2 11 11 yes A 0
## 3910 32 =3+7+2 12 12 yes A 0
## 3911 32 =4+1+7 12 12 yes A 0
## 3912 32 =4+1+8 13 13 yes A 0
## 3913 32 =4+3+2 9 9 yes A 0
## 3914 32 =4+6+1 11 11 yes A 0
## 3915 32 =4+6+2 12 12 yes A 0
## 3916 32 =4+6+3 13 13 yes A 0
## 3917 32 =5+1+3 9 9 yes A 0
## 3918 32 =5+1+4 10 10 yes A 0
## 3919 32 =5+1+6 12 12 yes A 0
## 3920 32 =5+2+4 11 11 yes A 0
## 3921 32 =5+4+1 10 10 yes A 0
## 3922 32 =6+1+2 9 9 yes A 0
## 3923 32 =6+4+1 11 11 yes A 0
## 3924 32 =6+5+1 12 12 yes A 0
## 3925 32 =7+1+3 11 11 yes A 0
## 3926 32 =7+1+4 12 12 yes A 0
## 3927 32 =7+1+5 13 13 yes A 0
## 3928 32 =7+2+1 10 10 yes A 0
## 3929 32 =8+2+1 11 11 yes A 0
## 3930 32 =8+2+4 14 14 yes A 0
## 3931 32 =3-2-1 0 2 no S -2
## 3932 32 =4-1-3 0 5 no S -5
## 3933 32 =5-2-3 0 1 no S -1
## 3934 32 =5-4-1 0 3 no S -3
## 3935 32 =6-1-5 0 4 no S -4
## 3936 32 =6-2-1 3 0 no S 3
## 3937 32 =6-2-3 1 0 no S 1
## 3938 32 =6-2-4 0 1 no S -1
## 3939 32 =6-3-1 2 0 no S 2
## 3940 32 =7-2-1 4 0 no S 4
## 3941 32 =7-3-4 0 2 no S -2
## 3942 32 =7-4-1 2 0 no S 2
## 3943 32 =7-4-2 1 0 no S 1
## 3944 32 =7-5-2 0 1 no S -1
## 3945 32 =7-6-1 0 2 no S -2
## 3946 32 =8-1-4 3 2 no S 1
## 3947 32 =8-2-1 5 0 no S 5
## 3948 32 =8-2-6 0 1 no S -1
## 3949 32 =8-3-1 4 0 no S 4
## 3950 32 =8-3-4 1 0 no S 1
## 3951 32 =8-5-1 2 0 no S 2
## 3952 32 =8-5-2 1 6 no S -5
## 3953 32 =8-5-3 0 1 no S -1
## 3954 32 =8-7-1 0 4 no S -4
## 3955 32 =9-1-3 5 0 no S 5
## 3956 32 =9-1-5 3 0 no S 3
## 3957 32 =9-1-6 2 4 no S -2
## 3958 32 =9-2-1 6 3 no S 3
## 3959 32 =9-2-7 0 1 no S -1
## 3960 32 =9-3-2 4 0 no S 4
## 3961 32 =9-3-4 2 0 no S 2
## 3962 32 =9-3-5 1 0 no S 1
## 3963 32 =9-3-6 0 2 no S -2
## 3964 32 =9-4-2 3 0 no S 3
## 3965 32 =9-4-5 0 3 no S -3
## 3966 32 =9-6-2 1 5 no S -4
## 3967 32 =9-8-1 0 3 no S -3
## 3968 32 =3-1-2 0 0 yes S 0
## 3969 32 =4-3-1 0 0 yes S 0
## 3970 32 =5-1-4 0 0 yes S 0
## 3971 32 =5-3-2 0 0 yes S 0
## 3972 32 =6-1-2 3 3 yes S 0
## 3973 32 =6-1-3 2 2 yes S 0
## 3974 32 =6-3-2 1 1 yes S 0
## 3975 32 =6-4-2 0 0 yes S 0
## 3976 32 =6-5-1 0 0 yes S 0
## 3977 32 =7-1-2 4 4 yes S 0
## 3978 32 =7-1-4 2 2 yes S 0
## 3979 32 =7-1-6 0 0 yes S 0
## 3980 32 =7-2-4 1 1 yes S 0
## 3981 32 =7-2-5 0 0 yes S 0
## 3982 32 =7-4-3 0 0 yes S 0
## 3983 32 =8-1-2 5 5 yes S 0
## 3984 32 =8-1-3 4 4 yes S 0
## 3985 32 =8-1-5 2 2 yes S 0
## 3986 32 =8-1-7 0 0 yes S 0
## 3987 32 =8-2-5 1 1 yes S 0
## 3988 32 =8-3-5 0 0 yes S 0
## 3989 32 =8-4-1 3 3 yes S 0
## 3990 32 =8-4-3 1 1 yes S 0
## 3991 32 =8-6-2 0 0 yes S 0
## 3992 32 =9-1-2 6 6 yes S 0
## 3993 32 =9-1-8 0 0 yes S 0
## 3994 32 =9-2-3 4 4 yes S 0
## 3995 32 =9-2-4 3 3 yes S 0
## 3996 32 =9-2-6 1 1 yes S 0
## 3997 32 =9-3-1 5 5 yes S 0
## 3998 32 =9-4-3 2 2 yes S 0
## 3999 32 =9-5-1 3 3 yes S 0
## 4000 32 =9-5-3 1 1 yes S 0
## 4001 32 =9-5-4 0 0 yes S 0
## 4002 32 =9-6-1 2 2 yes S 0
## 4003 32 =9-6-3 0 0 yes S 0
## 4004 32 =9-7-2 0 0 yes S 0
## 4005 33 =1+2+9 12 8 no A 4
## 4006 33 =1+3+6 10 14 no A -4
## 4007 33 =1+5+3 9 12 no A -3
## 4008 33 =1+6+2 9 10 no A -1
## 4009 33 =1+7+2 10 11 no A -1
## 4010 33 =2+3+5 10 12 no A -2
## 4011 33 =2+4+5 11 10 no A 1
## 4012 33 =2+6+4 12 9 no A 3
## 4013 33 =2+7+5 14 13 no A 1
## 4014 33 =2+8+1 11 13 no A -2
## 4015 33 =3+1+4 8 9 no A -1
## 4016 33 =3+2+4 9 11 no A -2
## 4017 33 =3+2+6 11 13 no A -2
## 4018 33 =3+7+1 11 9 no A 2
## 4019 33 =4+1+5 10 12 no A -2
## 4020 33 =4+1+6 11 12 no A -1
## 4021 33 =4+2+3 9 12 no A -3
## 4022 33 =4+2+6 12 10 no A 2
## 4023 33 =4+2+7 13 9 no A 4
## 4024 33 =4+5+1 10 11 no A -1
## 4025 33 =4+5+2 11 9 no A 2
## 4026 33 =4+7+1 12 10 no A 2
## 4027 33 =5+1+2 8 13 no A -5
## 4028 33 =5+3+1 9 10 no A -1
## 4029 33 =5+3+2 10 12 no A -2
## 4030 33 =5+3+4 12 11 no A 1
## 4031 33 =6+1+5 12 13 no A -1
## 4032 33 =6+2+1 9 14 no A -5
## 4033 33 =6+2+3 11 12 no A -1
## 4034 33 =6+4+2 12 11 no A 1
## 4035 33 =6+4+3 13 12 no A 1
## 4036 33 =6+5+2 13 10 no A 3
## 4037 33 =7+2+3 12 13 no A -1
## 4038 33 =7+3+1 11 12 no A -1
## 4039 33 =7+3+2 12 8 no A 4
## 4040 33 =7+3+4 14 11 no A 3
## 4041 33 =8+2+3 13 9 no A 4
## 4042 33 =9+1+2 12 11 no A 1
## 4043 33 =9+1+3 13 12 no A 1
## 4044 33 =9+3+1 13 11 no A 2
## 4045 33 =1+2+5 8 8 yes A 0
## 4046 33 =1+3+5 9 9 yes A 0
## 4047 33 =1+4+3 8 8 yes A 0
## 4048 33 =1+6+3 10 10 yes A 0
## 4049 33 =1+9+2 12 12 yes A 0
## 4050 33 =1+9+3 13 13 yes A 0
## 4051 33 =2+1+9 12 12 yes A 0
## 4052 33 =2+3+6 11 11 yes A 0
## 4053 33 =2+3+7 12 12 yes A 0
## 4054 33 =2+5+6 13 13 yes A 0
## 4055 33 =2+7+1 10 10 yes A 0
## 4056 33 =2+8+3 13 13 yes A 0
## 4057 33 =3+1+5 9 9 yes A 0
## 4058 33 =3+1+7 11 11 yes A 0
## 4059 33 =3+2+5 10 10 yes A 0
## 4060 33 =3+4+2 9 9 yes A 0
## 4061 33 =3+5+4 12 12 yes A 0
## 4062 33 =3+5+6 14 14 yes A 0
## 4063 33 =3+6+2 11 11 yes A 0
## 4064 33 =3+7+2 12 12 yes A 0
## 4065 33 =4+1+7 12 12 yes A 0
## 4066 33 =4+1+8 13 13 yes A 0
## 4067 33 =4+3+2 9 9 yes A 0
## 4068 33 =4+6+1 11 11 yes A 0
## 4069 33 =4+6+2 12 12 yes A 0
## 4070 33 =4+6+3 13 13 yes A 0
## 4071 33 =5+1+3 9 9 yes A 0
## 4072 33 =5+1+4 10 10 yes A 0
## 4073 33 =5+1+6 12 12 yes A 0
## 4074 33 =5+2+4 11 11 yes A 0
## 4075 33 =5+4+1 10 10 yes A 0
## 4076 33 =6+1+2 9 9 yes A 0
## 4077 33 =6+4+1 11 11 yes A 0
## 4078 33 =6+5+1 12 12 yes A 0
## 4079 33 =7+1+3 11 11 yes A 0
## 4080 33 =7+1+4 12 12 yes A 0
## 4081 33 =7+1+5 13 13 yes A 0
## 4082 33 =7+2+1 10 10 yes A 0
## 4083 33 =8+2+1 11 11 yes A 0
## 4084 33 =8+2+4 14 14 yes A 0
## 4085 33 =3-2-1 0 2 no S -2
## 4086 33 =4-1-3 0 5 no S -5
## 4087 33 =5-2-3 0 1 no S -1
## 4088 33 =5-4-1 0 3 no S -3
## 4089 33 =6-1-5 0 4 no S -4
## 4090 33 =6-2-1 3 0 no S 3
## 4091 33 =6-2-3 1 0 no S 1
## 4092 33 =6-2-4 0 1 no S -1
## 4093 33 =6-3-1 2 0 no S 2
## 4094 33 =7-2-1 4 0 no S 4
## 4095 33 =7-3-4 0 2 no S -2
## 4096 33 =7-4-1 2 0 no S 2
## 4097 33 =7-4-2 1 0 no S 1
## 4098 33 =7-5-2 0 1 no S -1
## 4099 33 =7-6-1 0 2 no S -2
## 4100 33 =8-1-4 3 2 no S 1
## 4101 33 =8-2-1 5 0 no S 5
## 4102 33 =8-2-6 0 1 no S -1
## 4103 33 =8-3-1 4 0 no S 4
## 4104 33 =8-3-4 1 0 no S 1
## 4105 33 =8-5-1 2 0 no S 2
## 4106 33 =8-5-2 1 6 no S -5
## 4107 33 =8-5-3 0 1 no S -1
## 4108 33 =8-7-1 0 4 no S -4
## 4109 33 =9-1-3 5 0 no S 5
## 4110 33 =9-1-5 3 0 no S 3
## 4111 33 =9-1-6 2 4 no S -2
## 4112 33 =9-2-1 6 3 no S 3
## 4113 33 =9-2-7 0 1 no S -1
## 4114 33 =9-3-2 4 0 no S 4
## 4115 33 =9-3-4 2 0 no S 2
## 4116 33 =9-3-5 1 0 no S 1
## 4117 33 =9-3-6 0 2 no S -2
## 4118 33 =9-4-2 3 0 no S 3
## 4119 33 =9-4-5 0 3 no S -3
## 4120 33 =9-6-2 1 5 no S -4
## 4121 33 =9-8-1 0 3 no S -3
## 4122 33 =3-1-2 0 0 yes S 0
## 4123 33 =4-3-1 0 0 yes S 0
## 4124 33 =5-1-4 0 0 yes S 0
## 4125 33 =5-3-2 0 0 yes S 0
## 4126 33 =6-1-2 3 3 yes S 0
## 4127 33 =6-1-3 2 2 yes S 0
## 4128 33 =6-3-2 1 1 yes S 0
## 4129 33 =6-4-2 0 0 yes S 0
## 4130 33 =6-5-1 0 0 yes S 0
## 4131 33 =7-1-2 4 4 yes S 0
## 4132 33 =7-1-4 2 2 yes S 0
## 4133 33 =7-1-6 0 0 yes S 0
## 4134 33 =7-2-4 1 1 yes S 0
## 4135 33 =7-2-5 0 0 yes S 0
## 4136 33 =7-4-3 0 0 yes S 0
## 4137 33 =8-1-2 5 5 yes S 0
## 4138 33 =8-1-3 4 4 yes S 0
## 4139 33 =8-1-5 2 2 yes S 0
## 4140 33 =8-1-7 0 0 yes S 0
## 4141 33 =8-2-5 1 1 yes S 0
## 4142 33 =8-3-5 0 0 yes S 0
## 4143 33 =8-4-1 3 3 yes S 0
## 4144 33 =8-4-3 1 1 yes S 0
## 4145 33 =8-6-2 0 0 yes S 0
## 4146 33 =9-1-2 6 6 yes S 0
## 4147 33 =9-1-8 0 0 yes S 0
## 4148 33 =9-2-3 4 4 yes S 0
## 4149 33 =9-2-4 3 3 yes S 0
## 4150 33 =9-2-6 1 1 yes S 0
## 4151 33 =9-3-1 5 5 yes S 0
## 4152 33 =9-4-3 2 2 yes S 0
## 4153 33 =9-5-1 3 3 yes S 0
## 4154 33 =9-5-3 1 1 yes S 0
## 4155 33 =9-5-4 0 0 yes S 0
## 4156 33 =9-6-1 2 2 yes S 0
## 4157 33 =9-6-3 0 0 yes S 0
## 4158 33 =9-7-2 0 0 yes S 0
## 4159 34 =1+2+9 12 8 no A 4
## 4160 34 =1+3+6 10 14 no A -4
## 4161 34 =1+5+3 9 12 no A -3
## 4162 34 =1+6+2 9 10 no A -1
## 4163 34 =1+7+2 10 11 no A -1
## 4164 34 =2+3+5 10 12 no A -2
## 4165 34 =2+4+5 11 10 no A 1
## 4166 34 =2+6+4 12 9 no A 3
## 4167 34 =2+7+5 14 13 no A 1
## 4168 34 =2+8+1 11 13 no A -2
## 4169 34 =3+1+4 8 9 no A -1
## 4170 34 =3+2+4 9 11 no A -2
## 4171 34 =3+2+6 11 13 no A -2
## 4172 34 =3+7+1 11 9 no A 2
## 4173 34 =4+1+5 10 12 no A -2
## 4174 34 =4+1+6 11 12 no A -1
## 4175 34 =4+2+3 9 12 no A -3
## 4176 34 =4+2+6 12 10 no A 2
## 4177 34 =4+2+7 13 9 no A 4
## 4178 34 =4+5+1 10 11 no A -1
## 4179 34 =4+5+2 11 9 no A 2
## 4180 34 =4+7+1 12 10 no A 2
## 4181 34 =5+1+2 8 13 no A -5
## 4182 34 =5+3+1 9 10 no A -1
## 4183 34 =5+3+2 10 12 no A -2
## 4184 34 =5+3+4 12 11 no A 1
## 4185 34 =6+1+5 12 13 no A -1
## 4186 34 =6+2+1 9 14 no A -5
## 4187 34 =6+2+3 11 12 no A -1
## 4188 34 =6+4+2 12 11 no A 1
## 4189 34 =6+4+3 13 12 no A 1
## 4190 34 =6+5+2 13 10 no A 3
## 4191 34 =7+2+3 12 13 no A -1
## 4192 34 =7+3+1 11 12 no A -1
## 4193 34 =7+3+2 12 8 no A 4
## 4194 34 =7+3+4 14 11 no A 3
## 4195 34 =8+2+3 13 9 no A 4
## 4196 34 =9+1+2 12 11 no A 1
## 4197 34 =9+1+3 13 12 no A 1
## 4198 34 =9+3+1 13 11 no A 2
## 4199 34 =1+2+5 8 8 yes A 0
## 4200 34 =1+3+5 9 9 yes A 0
## 4201 34 =1+4+3 8 8 yes A 0
## 4202 34 =1+6+3 10 10 yes A 0
## 4203 34 =1+9+2 12 12 yes A 0
## 4204 34 =1+9+3 13 13 yes A 0
## 4205 34 =2+1+9 12 12 yes A 0
## 4206 34 =2+3+6 11 11 yes A 0
## 4207 34 =2+3+7 12 12 yes A 0
## 4208 34 =2+5+6 13 13 yes A 0
## 4209 34 =2+7+1 10 10 yes A 0
## 4210 34 =2+8+3 13 13 yes A 0
## 4211 34 =3+1+5 9 9 yes A 0
## 4212 34 =3+1+7 11 11 yes A 0
## 4213 34 =3+2+5 10 10 yes A 0
## 4214 34 =3+4+2 9 9 yes A 0
## 4215 34 =3+5+4 12 12 yes A 0
## 4216 34 =3+5+6 14 14 yes A 0
## 4217 34 =3+6+2 11 11 yes A 0
## 4218 34 =3+7+2 12 12 yes A 0
## 4219 34 =4+1+7 12 12 yes A 0
## 4220 34 =4+1+8 13 13 yes A 0
## 4221 34 =4+3+2 9 9 yes A 0
## 4222 34 =4+6+1 11 11 yes A 0
## 4223 34 =4+6+2 12 12 yes A 0
## 4224 34 =4+6+3 13 13 yes A 0
## 4225 34 =5+1+3 9 9 yes A 0
## 4226 34 =5+1+4 10 10 yes A 0
## 4227 34 =5+1+6 12 12 yes A 0
## 4228 34 =5+2+4 11 11 yes A 0
## 4229 34 =5+4+1 10 10 yes A 0
## 4230 34 =6+1+2 9 9 yes A 0
## 4231 34 =6+4+1 11 11 yes A 0
## 4232 34 =6+5+1 12 12 yes A 0
## 4233 34 =7+1+3 11 11 yes A 0
## 4234 34 =7+1+4 12 12 yes A 0
## 4235 34 =7+1+5 13 13 yes A 0
## 4236 34 =7+2+1 10 10 yes A 0
## 4237 34 =8+2+1 11 11 yes A 0
## 4238 34 =8+2+4 14 14 yes A 0
## 4239 34 =3-2-1 0 2 no S -2
## 4240 34 =4-1-3 0 5 no S -5
## 4241 34 =5-2-3 0 1 no S -1
## 4242 34 =5-4-1 0 3 no S -3
## 4243 34 =6-1-5 0 4 no S -4
## 4244 34 =6-2-1 3 0 no S 3
## 4245 34 =6-2-3 1 0 no S 1
## 4246 34 =6-2-4 0 1 no S -1
## 4247 34 =6-3-1 2 0 no S 2
## 4248 34 =7-2-1 4 0 no S 4
## 4249 34 =7-3-4 0 2 no S -2
## 4250 34 =7-4-1 2 0 no S 2
## 4251 34 =7-4-2 1 0 no S 1
## 4252 34 =7-5-2 0 1 no S -1
## 4253 34 =7-6-1 0 2 no S -2
## 4254 34 =8-1-4 3 2 no S 1
## 4255 34 =8-2-1 5 0 no S 5
## 4256 34 =8-2-6 0 1 no S -1
## 4257 34 =8-3-1 4 0 no S 4
## 4258 34 =8-3-4 1 0 no S 1
## 4259 34 =8-5-1 2 0 no S 2
## 4260 34 =8-5-2 1 6 no S -5
## 4261 34 =8-5-3 0 1 no S -1
## 4262 34 =8-7-1 0 4 no S -4
## 4263 34 =9-1-3 5 0 no S 5
## 4264 34 =9-1-5 3 0 no S 3
## 4265 34 =9-1-6 2 4 no S -2
## 4266 34 =9-2-1 6 3 no S 3
## 4267 34 =9-2-7 0 1 no S -1
## 4268 34 =9-3-2 4 0 no S 4
## 4269 34 =9-3-4 2 0 no S 2
## 4270 34 =9-3-5 1 0 no S 1
## 4271 34 =9-3-6 0 2 no S -2
## 4272 34 =9-4-2 3 0 no S 3
## 4273 34 =9-4-5 0 3 no S -3
## 4274 34 =9-6-2 1 5 no S -4
## 4275 34 =9-8-1 0 3 no S -3
## 4276 34 =3-1-2 0 0 yes S 0
## 4277 34 =4-3-1 0 0 yes S 0
## 4278 34 =5-1-4 0 0 yes S 0
## 4279 34 =5-3-2 0 0 yes S 0
## 4280 34 =6-1-2 3 3 yes S 0
## 4281 34 =6-1-3 2 2 yes S 0
## 4282 34 =6-3-2 1 1 yes S 0
## 4283 34 =6-4-2 0 0 yes S 0
## 4284 34 =6-5-1 0 0 yes S 0
## 4285 34 =7-1-2 4 4 yes S 0
## 4286 34 =7-1-4 2 2 yes S 0
## 4287 34 =7-1-6 0 0 yes S 0
## 4288 34 =7-2-4 1 1 yes S 0
## 4289 34 =7-2-5 0 0 yes S 0
## 4290 34 =7-4-3 0 0 yes S 0
## 4291 34 =8-1-2 5 5 yes S 0
## 4292 34 =8-1-3 4 4 yes S 0
## 4293 34 =8-1-5 2 2 yes S 0
## 4294 34 =8-1-7 0 0 yes S 0
## 4295 34 =8-2-5 1 1 yes S 0
## 4296 34 =8-3-5 0 0 yes S 0
## 4297 34 =8-4-1 3 3 yes S 0
## 4298 34 =8-4-3 1 1 yes S 0
## 4299 34 =8-6-2 0 0 yes S 0
## 4300 34 =9-1-2 6 6 yes S 0
## 4301 34 =9-1-8 0 0 yes S 0
## 4302 34 =9-2-3 4 4 yes S 0
## 4303 34 =9-2-4 3 3 yes S 0
## 4304 34 =9-2-6 1 1 yes S 0
## 4305 34 =9-3-1 5 5 yes S 0
## 4306 34 =9-4-3 2 2 yes S 0
## 4307 34 =9-5-1 3 3 yes S 0
## 4308 34 =9-5-3 1 1 yes S 0
## 4309 34 =9-5-4 0 0 yes S 0
## 4310 34 =9-6-1 2 2 yes S 0
## 4311 34 =9-6-3 0 0 yes S 0
## 4312 34 =9-7-2 0 0 yes S 0
## 4313 35 =1+2+9 12 8 no A 4
## 4314 35 =1+3+6 10 14 no A -4
## 4315 35 =1+5+3 9 12 no A -3
## 4316 35 =1+6+2 9 10 no A -1
## 4317 35 =1+7+2 10 11 no A -1
## 4318 35 =2+3+5 10 12 no A -2
## 4319 35 =2+4+5 11 10 no A 1
## 4320 35 =2+6+4 12 9 no A 3
## 4321 35 =2+7+5 14 13 no A 1
## 4322 35 =2+8+1 11 13 no A -2
## 4323 35 =3+1+4 8 9 no A -1
## 4324 35 =3+2+4 9 11 no A -2
## 4325 35 =3+2+6 11 13 no A -2
## 4326 35 =3+7+1 11 9 no A 2
## 4327 35 =4+1+5 10 12 no A -2
## 4328 35 =4+1+6 11 12 no A -1
## 4329 35 =4+2+3 9 12 no A -3
## 4330 35 =4+2+6 12 10 no A 2
## 4331 35 =4+2+7 13 9 no A 4
## 4332 35 =4+5+1 10 11 no A -1
## 4333 35 =4+5+2 11 9 no A 2
## 4334 35 =4+7+1 12 10 no A 2
## 4335 35 =5+1+2 8 13 no A -5
## 4336 35 =5+3+1 9 10 no A -1
## 4337 35 =5+3+2 10 12 no A -2
## 4338 35 =5+3+4 12 11 no A 1
## 4339 35 =6+1+5 12 13 no A -1
## 4340 35 =6+2+1 9 14 no A -5
## 4341 35 =6+2+3 11 12 no A -1
## 4342 35 =6+4+2 12 11 no A 1
## 4343 35 =6+4+3 13 12 no A 1
## 4344 35 =6+5+2 13 10 no A 3
## 4345 35 =7+2+3 12 13 no A -1
## 4346 35 =7+3+1 11 12 no A -1
## 4347 35 =7+3+2 12 8 no A 4
## 4348 35 =7+3+4 14 11 no A 3
## 4349 35 =8+2+3 13 9 no A 4
## 4350 35 =9+1+2 12 11 no A 1
## 4351 35 =9+1+3 13 12 no A 1
## 4352 35 =9+3+1 13 11 no A 2
## 4353 35 =1+2+5 8 8 yes A 0
## 4354 35 =1+3+5 9 9 yes A 0
## 4355 35 =1+4+3 8 8 yes A 0
## 4356 35 =1+6+3 10 10 yes A 0
## 4357 35 =1+9+2 12 12 yes A 0
## 4358 35 =1+9+3 13 13 yes A 0
## 4359 35 =2+1+9 12 12 yes A 0
## 4360 35 =2+3+6 11 11 yes A 0
## 4361 35 =2+3+7 12 12 yes A 0
## 4362 35 =2+5+6 13 13 yes A 0
## 4363 35 =2+7+1 10 10 yes A 0
## 4364 35 =2+8+3 13 13 yes A 0
## 4365 35 =3+1+5 9 9 yes A 0
## 4366 35 =3+1+7 11 11 yes A 0
## 4367 35 =3+2+5 10 10 yes A 0
## 4368 35 =3+4+2 9 9 yes A 0
## 4369 35 =3+5+4 12 12 yes A 0
## 4370 35 =3+5+6 14 14 yes A 0
## 4371 35 =3+6+2 11 11 yes A 0
## 4372 35 =3+7+2 12 12 yes A 0
## 4373 35 =4+1+7 12 12 yes A 0
## 4374 35 =4+1+8 13 13 yes A 0
## 4375 35 =4+3+2 9 9 yes A 0
## 4376 35 =4+6+1 11 11 yes A 0
## 4377 35 =4+6+2 12 12 yes A 0
## 4378 35 =4+6+3 13 13 yes A 0
## 4379 35 =5+1+3 9 9 yes A 0
## 4380 35 =5+1+4 10 10 yes A 0
## 4381 35 =5+1+6 12 12 yes A 0
## 4382 35 =5+2+4 11 11 yes A 0
## 4383 35 =5+4+1 10 10 yes A 0
## 4384 35 =6+1+2 9 9 yes A 0
## 4385 35 =6+4+1 11 11 yes A 0
## 4386 35 =6+5+1 12 12 yes A 0
## 4387 35 =7+1+3 11 11 yes A 0
## 4388 35 =7+1+4 12 12 yes A 0
## 4389 35 =7+1+5 13 13 yes A 0
## 4390 35 =7+2+1 10 10 yes A 0
## 4391 35 =8+2+1 11 11 yes A 0
## 4392 35 =8+2+4 14 14 yes A 0
## 4393 35 =3-2-1 0 2 no S -2
## 4394 35 =4-1-3 0 5 no S -5
## 4395 35 =5-2-3 0 1 no S -1
## 4396 35 =5-4-1 0 3 no S -3
## 4397 35 =6-1-5 0 4 no S -4
## 4398 35 =6-2-1 3 0 no S 3
## 4399 35 =6-2-3 1 0 no S 1
## 4400 35 =6-2-4 0 1 no S -1
## 4401 35 =6-3-1 2 0 no S 2
## 4402 35 =7-2-1 4 0 no S 4
## 4403 35 =7-3-4 0 2 no S -2
## 4404 35 =7-4-1 2 0 no S 2
## 4405 35 =7-4-2 1 0 no S 1
## 4406 35 =7-5-2 0 1 no S -1
## 4407 35 =7-6-1 0 2 no S -2
## 4408 35 =8-1-4 3 2 no S 1
## 4409 35 =8-2-1 5 0 no S 5
## 4410 35 =8-2-6 0 1 no S -1
## 4411 35 =8-3-1 4 0 no S 4
## 4412 35 =8-3-4 1 0 no S 1
## 4413 35 =8-5-1 2 0 no S 2
## 4414 35 =8-5-2 1 6 no S -5
## 4415 35 =8-5-3 0 1 no S -1
## 4416 35 =8-7-1 0 4 no S -4
## 4417 35 =9-1-3 5 0 no S 5
## 4418 35 =9-1-5 3 0 no S 3
## 4419 35 =9-1-6 2 4 no S -2
## 4420 35 =9-2-1 6 3 no S 3
## 4421 35 =9-2-7 0 1 no S -1
## 4422 35 =9-3-2 4 0 no S 4
## 4423 35 =9-3-4 2 0 no S 2
## 4424 35 =9-3-5 1 0 no S 1
## 4425 35 =9-3-6 0 2 no S -2
## 4426 35 =9-4-2 3 0 no S 3
## 4427 35 =9-4-5 0 3 no S -3
## 4428 35 =9-6-2 1 5 no S -4
## 4429 35 =9-8-1 0 3 no S -3
## 4430 35 =3-1-2 0 0 yes S 0
## 4431 35 =4-3-1 0 0 yes S 0
## 4432 35 =5-1-4 0 0 yes S 0
## 4433 35 =5-3-2 0 0 yes S 0
## 4434 35 =6-1-2 3 3 yes S 0
## 4435 35 =6-1-3 2 2 yes S 0
## 4436 35 =6-3-2 1 1 yes S 0
## 4437 35 =6-4-2 0 0 yes S 0
## 4438 35 =6-5-1 0 0 yes S 0
## 4439 35 =7-1-2 4 4 yes S 0
## 4440 35 =7-1-4 2 2 yes S 0
## 4441 35 =7-1-6 0 0 yes S 0
## 4442 35 =7-2-4 1 1 yes S 0
## 4443 35 =7-2-5 0 0 yes S 0
## 4444 35 =7-4-3 0 0 yes S 0
## 4445 35 =8-1-2 5 5 yes S 0
## 4446 35 =8-1-3 4 4 yes S 0
## 4447 35 =8-1-5 2 2 yes S 0
## 4448 35 =8-1-7 0 0 yes S 0
## 4449 35 =8-2-5 1 1 yes S 0
## 4450 35 =8-3-5 0 0 yes S 0
## 4451 35 =8-4-1 3 3 yes S 0
## 4452 35 =8-4-3 1 1 yes S 0
## 4453 35 =8-6-2 0 0 yes S 0
## 4454 35 =9-1-2 6 6 yes S 0
## 4455 35 =9-1-8 0 0 yes S 0
## 4456 35 =9-2-3 4 4 yes S 0
## 4457 35 =9-2-4 3 3 yes S 0
## 4458 35 =9-2-6 1 1 yes S 0
## 4459 35 =9-3-1 5 5 yes S 0
## 4460 35 =9-4-3 2 2 yes S 0
## 4461 35 =9-5-1 3 3 yes S 0
## 4462 35 =9-5-3 1 1 yes S 0
## 4463 35 =9-5-4 0 0 yes S 0
## 4464 35 =9-6-1 2 2 yes S 0
## 4465 35 =9-6-3 0 0 yes S 0
## 4466 35 =9-7-2 0 0 yes S 0
## 4467 36 =1+2+9 12 8 no A 4
## 4468 36 =1+3+6 10 14 no A -4
## 4469 36 =1+5+3 9 12 no A -3
## 4470 36 =1+6+2 9 10 no A -1
## 4471 36 =1+7+2 10 11 no A -1
## 4472 36 =2+3+5 10 12 no A -2
## 4473 36 =2+4+5 11 10 no A 1
## 4474 36 =2+6+4 12 9 no A 3
## 4475 36 =2+7+5 14 13 no A 1
## 4476 36 =2+8+1 11 13 no A -2
## 4477 36 =3+1+4 8 9 no A -1
## 4478 36 =3+2+4 9 11 no A -2
## 4479 36 =3+2+6 11 13 no A -2
## 4480 36 =3+7+1 11 9 no A 2
## 4481 36 =4+1+5 10 12 no A -2
## 4482 36 =4+1+6 11 12 no A -1
## 4483 36 =4+2+3 9 12 no A -3
## 4484 36 =4+2+6 12 10 no A 2
## 4485 36 =4+2+7 13 9 no A 4
## 4486 36 =4+5+1 10 11 no A -1
## 4487 36 =4+5+2 11 9 no A 2
## 4488 36 =4+7+1 12 10 no A 2
## 4489 36 =5+1+2 8 13 no A -5
## 4490 36 =5+3+1 9 10 no A -1
## 4491 36 =5+3+2 10 12 no A -2
## 4492 36 =5+3+4 12 11 no A 1
## 4493 36 =6+1+5 12 13 no A -1
## 4494 36 =6+2+1 9 14 no A -5
## 4495 36 =6+2+3 11 12 no A -1
## 4496 36 =6+4+2 12 11 no A 1
## 4497 36 =6+4+3 13 12 no A 1
## 4498 36 =6+5+2 13 10 no A 3
## 4499 36 =7+2+3 12 13 no A -1
## 4500 36 =7+3+1 11 12 no A -1
## 4501 36 =7+3+2 12 8 no A 4
## 4502 36 =7+3+4 14 11 no A 3
## 4503 36 =8+2+3 13 9 no A 4
## 4504 36 =9+1+2 12 11 no A 1
## 4505 36 =9+1+3 13 12 no A 1
## 4506 36 =9+3+1 13 11 no A 2
## 4507 36 =1+2+5 8 8 yes A 0
## 4508 36 =1+3+5 9 9 yes A 0
## 4509 36 =1+4+3 8 8 yes A 0
## 4510 36 =1+6+3 10 10 yes A 0
## 4511 36 =1+9+2 12 12 yes A 0
## 4512 36 =1+9+3 13 13 yes A 0
## 4513 36 =2+1+9 12 12 yes A 0
## 4514 36 =2+3+6 11 11 yes A 0
## 4515 36 =2+3+7 12 12 yes A 0
## 4516 36 =2+5+6 13 13 yes A 0
## 4517 36 =2+7+1 10 10 yes A 0
## 4518 36 =2+8+3 13 13 yes A 0
## 4519 36 =3+1+5 9 9 yes A 0
## 4520 36 =3+1+7 11 11 yes A 0
## 4521 36 =3+2+5 10 10 yes A 0
## 4522 36 =3+4+2 9 9 yes A 0
## 4523 36 =3+5+4 12 12 yes A 0
## 4524 36 =3+5+6 14 14 yes A 0
## 4525 36 =3+6+2 11 11 yes A 0
## 4526 36 =3+7+2 12 12 yes A 0
## 4527 36 =4+1+7 12 12 yes A 0
## 4528 36 =4+1+8 13 13 yes A 0
## 4529 36 =4+3+2 9 9 yes A 0
## 4530 36 =4+6+1 11 11 yes A 0
## 4531 36 =4+6+2 12 12 yes A 0
## 4532 36 =4+6+3 13 13 yes A 0
## 4533 36 =5+1+3 9 9 yes A 0
## 4534 36 =5+1+4 10 10 yes A 0
## 4535 36 =5+1+6 12 12 yes A 0
## 4536 36 =5+2+4 11 11 yes A 0
## 4537 36 =5+4+1 10 10 yes A 0
## 4538 36 =6+1+2 9 9 yes A 0
## 4539 36 =6+4+1 11 11 yes A 0
## 4540 36 =6+5+1 12 12 yes A 0
## 4541 36 =7+1+3 11 11 yes A 0
## 4542 36 =7+1+4 12 12 yes A 0
## 4543 36 =7+1+5 13 13 yes A 0
## 4544 36 =7+2+1 10 10 yes A 0
## 4545 36 =8+2+1 11 11 yes A 0
## 4546 36 =8+2+4 14 14 yes A 0
## 4547 36 =3-2-1 0 2 no S -2
## 4548 36 =4-1-3 0 5 no S -5
## 4549 36 =5-2-3 0 1 no S -1
## 4550 36 =5-4-1 0 3 no S -3
## 4551 36 =6-1-5 0 4 no S -4
## 4552 36 =6-2-1 3 0 no S 3
## 4553 36 =6-2-3 1 0 no S 1
## 4554 36 =6-2-4 0 1 no S -1
## 4555 36 =6-3-1 2 0 no S 2
## 4556 36 =7-2-1 4 0 no S 4
## 4557 36 =7-3-4 0 2 no S -2
## 4558 36 =7-4-1 2 0 no S 2
## 4559 36 =7-4-2 1 0 no S 1
## 4560 36 =7-5-2 0 1 no S -1
## 4561 36 =7-6-1 0 2 no S -2
## 4562 36 =8-1-4 3 2 no S 1
## 4563 36 =8-2-1 5 0 no S 5
## 4564 36 =8-2-6 0 1 no S -1
## 4565 36 =8-3-1 4 0 no S 4
## 4566 36 =8-3-4 1 0 no S 1
## 4567 36 =8-5-1 2 0 no S 2
## 4568 36 =8-5-2 1 6 no S -5
## 4569 36 =8-5-3 0 1 no S -1
## 4570 36 =8-7-1 0 4 no S -4
## 4571 36 =9-1-3 5 0 no S 5
## 4572 36 =9-1-5 3 0 no S 3
## 4573 36 =9-1-6 2 4 no S -2
## 4574 36 =9-2-1 6 3 no S 3
## 4575 36 =9-2-7 0 1 no S -1
## 4576 36 =9-3-2 4 0 no S 4
## 4577 36 =9-3-4 2 0 no S 2
## 4578 36 =9-3-5 1 0 no S 1
## 4579 36 =9-3-6 0 2 no S -2
## 4580 36 =9-4-2 3 0 no S 3
## 4581 36 =9-4-5 0 3 no S -3
## 4582 36 =9-6-2 1 5 no S -4
## 4583 36 =9-8-1 0 3 no S -3
## 4584 36 =3-1-2 0 0 yes S 0
## 4585 36 =4-3-1 0 0 yes S 0
## 4586 36 =5-1-4 0 0 yes S 0
## 4587 36 =5-3-2 0 0 yes S 0
## 4588 36 =6-1-2 3 3 yes S 0
## 4589 36 =6-1-3 2 2 yes S 0
## 4590 36 =6-3-2 1 1 yes S 0
## 4591 36 =6-4-2 0 0 yes S 0
## 4592 36 =6-5-1 0 0 yes S 0
## 4593 36 =7-1-2 4 4 yes S 0
## 4594 36 =7-1-4 2 2 yes S 0
## 4595 36 =7-1-6 0 0 yes S 0
## 4596 36 =7-2-4 1 1 yes S 0
## 4597 36 =7-2-5 0 0 yes S 0
## 4598 36 =7-4-3 0 0 yes S 0
## 4599 36 =8-1-2 5 5 yes S 0
## 4600 36 =8-1-3 4 4 yes S 0
## 4601 36 =8-1-5 2 2 yes S 0
## 4602 36 =8-1-7 0 0 yes S 0
## 4603 36 =8-2-5 1 1 yes S 0
## 4604 36 =8-3-5 0 0 yes S 0
## 4605 36 =8-4-1 3 3 yes S 0
## 4606 36 =8-4-3 1 1 yes S 0
## 4607 36 =8-6-2 0 0 yes S 0
## 4608 36 =9-1-2 6 6 yes S 0
## 4609 36 =9-1-8 0 0 yes S 0
## 4610 36 =9-2-3 4 4 yes S 0
## 4611 36 =9-2-4 3 3 yes S 0
## 4612 36 =9-2-6 1 1 yes S 0
## 4613 36 =9-3-1 5 5 yes S 0
## 4614 36 =9-4-3 2 2 yes S 0
## 4615 36 =9-5-1 3 3 yes S 0
## 4616 36 =9-5-3 1 1 yes S 0
## 4617 36 =9-5-4 0 0 yes S 0
## 4618 36 =9-6-1 2 2 yes S 0
## 4619 36 =9-6-3 0 0 yes S 0
## 4620 36 =9-7-2 0 0 yes S 0
## 4621 37 =1+2+9 12 8 no A 4
## 4622 37 =1+3+6 10 14 no A -4
## 4623 37 =1+5+3 9 12 no A -3
## 4624 37 =1+6+2 9 10 no A -1
## 4625 37 =1+7+2 10 11 no A -1
## 4626 37 =2+3+5 10 12 no A -2
## 4627 37 =2+4+5 11 10 no A 1
## 4628 37 =2+6+4 12 9 no A 3
## 4629 37 =2+7+5 14 13 no A 1
## 4630 37 =2+8+1 11 13 no A -2
## 4631 37 =3+1+4 8 9 no A -1
## 4632 37 =3+2+4 9 11 no A -2
## 4633 37 =3+2+6 11 13 no A -2
## 4634 37 =3+7+1 11 9 no A 2
## 4635 37 =4+1+5 10 12 no A -2
## 4636 37 =4+1+6 11 12 no A -1
## 4637 37 =4+2+3 9 12 no A -3
## 4638 37 =4+2+6 12 10 no A 2
## 4639 37 =4+2+7 13 9 no A 4
## 4640 37 =4+5+1 10 11 no A -1
## 4641 37 =4+5+2 11 9 no A 2
## 4642 37 =4+7+1 12 10 no A 2
## 4643 37 =5+1+2 8 13 no A -5
## 4644 37 =5+3+1 9 10 no A -1
## 4645 37 =5+3+2 10 12 no A -2
## 4646 37 =5+3+4 12 11 no A 1
## 4647 37 =6+1+5 12 13 no A -1
## 4648 37 =6+2+1 9 14 no A -5
## 4649 37 =6+2+3 11 12 no A -1
## 4650 37 =6+4+2 12 11 no A 1
## 4651 37 =6+4+3 13 12 no A 1
## 4652 37 =6+5+2 13 10 no A 3
## 4653 37 =7+2+3 12 13 no A -1
## 4654 37 =7+3+1 11 12 no A -1
## 4655 37 =7+3+2 12 8 no A 4
## 4656 37 =7+3+4 14 11 no A 3
## 4657 37 =8+2+3 13 9 no A 4
## 4658 37 =9+1+2 12 11 no A 1
## 4659 37 =9+1+3 13 12 no A 1
## 4660 37 =9+3+1 13 11 no A 2
## 4661 37 =1+2+5 8 8 yes A 0
## 4662 37 =1+3+5 9 9 yes A 0
## 4663 37 =1+4+3 8 8 yes A 0
## 4664 37 =1+6+3 10 10 yes A 0
## 4665 37 =1+9+2 12 12 yes A 0
## 4666 37 =1+9+3 13 13 yes A 0
## 4667 37 =2+1+9 12 12 yes A 0
## 4668 37 =2+3+6 11 11 yes A 0
## 4669 37 =2+3+7 12 12 yes A 0
## 4670 37 =2+5+6 13 13 yes A 0
## 4671 37 =2+7+1 10 10 yes A 0
## 4672 37 =2+8+3 13 13 yes A 0
## 4673 37 =3+1+5 9 9 yes A 0
## 4674 37 =3+1+7 11 11 yes A 0
## 4675 37 =3+2+5 10 10 yes A 0
## 4676 37 =3+4+2 9 9 yes A 0
## 4677 37 =3+5+4 12 12 yes A 0
## 4678 37 =3+5+6 14 14 yes A 0
## 4679 37 =3+6+2 11 11 yes A 0
## 4680 37 =3+7+2 12 12 yes A 0
## 4681 37 =4+1+7 12 12 yes A 0
## 4682 37 =4+1+8 13 13 yes A 0
## 4683 37 =4+3+2 9 9 yes A 0
## 4684 37 =4+6+1 11 11 yes A 0
## 4685 37 =4+6+2 12 12 yes A 0
## 4686 37 =4+6+3 13 13 yes A 0
## 4687 37 =5+1+3 9 9 yes A 0
## 4688 37 =5+1+4 10 10 yes A 0
## 4689 37 =5+1+6 12 12 yes A 0
## 4690 37 =5+2+4 11 11 yes A 0
## 4691 37 =5+4+1 10 10 yes A 0
## 4692 37 =6+1+2 9 9 yes A 0
## 4693 37 =6+4+1 11 11 yes A 0
## 4694 37 =6+5+1 12 12 yes A 0
## 4695 37 =7+1+3 11 11 yes A 0
## 4696 37 =7+1+4 12 12 yes A 0
## 4697 37 =7+1+5 13 13 yes A 0
## 4698 37 =7+2+1 10 10 yes A 0
## 4699 37 =8+2+1 11 11 yes A 0
## 4700 37 =8+2+4 14 14 yes A 0
## 4701 37 =3-2-1 0 2 no S -2
## 4702 37 =4-1-3 0 5 no S -5
## 4703 37 =5-2-3 0 1 no S -1
## 4704 37 =5-4-1 0 3 no S -3
## 4705 37 =6-1-5 0 4 no S -4
## 4706 37 =6-2-1 3 0 no S 3
## 4707 37 =6-2-3 1 0 no S 1
## 4708 37 =6-2-4 0 1 no S -1
## 4709 37 =6-3-1 2 0 no S 2
## 4710 37 =7-2-1 4 0 no S 4
## 4711 37 =7-3-4 0 2 no S -2
## 4712 37 =7-4-1 2 0 no S 2
## 4713 37 =7-4-2 1 0 no S 1
## 4714 37 =7-5-2 0 1 no S -1
## 4715 37 =7-6-1 0 2 no S -2
## 4716 37 =8-1-4 3 2 no S 1
## 4717 37 =8-2-1 5 0 no S 5
## 4718 37 =8-2-6 0 1 no S -1
## 4719 37 =8-3-1 4 0 no S 4
## 4720 37 =8-3-4 1 0 no S 1
## 4721 37 =8-5-1 2 0 no S 2
## 4722 37 =8-5-2 1 6 no S -5
## 4723 37 =8-5-3 0 1 no S -1
## 4724 37 =8-7-1 0 4 no S -4
## 4725 37 =9-1-3 5 0 no S 5
## 4726 37 =9-1-5 3 0 no S 3
## 4727 37 =9-1-6 2 4 no S -2
## 4728 37 =9-2-1 6 3 no S 3
## 4729 37 =9-2-7 0 1 no S -1
## 4730 37 =9-3-2 4 0 no S 4
## 4731 37 =9-3-4 2 0 no S 2
## 4732 37 =9-3-5 1 0 no S 1
## 4733 37 =9-3-6 0 2 no S -2
## 4734 37 =9-4-2 3 0 no S 3
## 4735 37 =9-4-5 0 3 no S -3
## 4736 37 =9-6-2 1 5 no S -4
## 4737 37 =9-8-1 0 3 no S -3
## 4738 37 =3-1-2 0 0 yes S 0
## 4739 37 =4-3-1 0 0 yes S 0
## 4740 37 =5-1-4 0 0 yes S 0
## 4741 37 =5-3-2 0 0 yes S 0
## 4742 37 =6-1-2 3 3 yes S 0
## 4743 37 =6-1-3 2 2 yes S 0
## 4744 37 =6-3-2 1 1 yes S 0
## 4745 37 =6-4-2 0 0 yes S 0
## 4746 37 =6-5-1 0 0 yes S 0
## 4747 37 =7-1-2 4 4 yes S 0
## 4748 37 =7-1-4 2 2 yes S 0
## 4749 37 =7-1-6 0 0 yes S 0
## 4750 37 =7-2-4 1 1 yes S 0
## 4751 37 =7-2-5 0 0 yes S 0
## 4752 37 =7-4-3 0 0 yes S 0
## 4753 37 =8-1-2 5 5 yes S 0
## 4754 37 =8-1-3 4 4 yes S 0
## 4755 37 =8-1-5 2 2 yes S 0
## 4756 37 =8-1-7 0 0 yes S 0
## 4757 37 =8-2-5 1 1 yes S 0
## 4758 37 =8-3-5 0 0 yes S 0
## 4759 37 =8-4-1 3 3 yes S 0
## 4760 37 =8-4-3 1 1 yes S 0
## 4761 37 =8-6-2 0 0 yes S 0
## 4762 37 =9-1-2 6 6 yes S 0
## 4763 37 =9-1-8 0 0 yes S 0
## 4764 37 =9-2-3 4 4 yes S 0
## 4765 37 =9-2-4 3 3 yes S 0
## 4766 37 =9-2-6 1 1 yes S 0
## 4767 37 =9-3-1 5 5 yes S 0
## 4768 37 =9-4-3 2 2 yes S 0
## 4769 37 =9-5-1 3 3 yes S 0
## 4770 37 =9-5-3 1 1 yes S 0
## 4771 37 =9-5-4 0 0 yes S 0
## 4772 37 =9-6-1 2 2 yes S 0
## 4773 37 =9-6-3 0 0 yes S 0
## 4774 37 =9-7-2 0 0 yes S 0
## 4775 38 =1+2+9 12 8 no A 4
## 4776 38 =1+3+6 10 14 no A -4
## 4777 38 =1+5+3 9 12 no A -3
## 4778 38 =1+6+2 9 10 no A -1
## 4779 38 =1+7+2 10 11 no A -1
## 4780 38 =2+3+5 10 12 no A -2
## 4781 38 =2+4+5 11 10 no A 1
## 4782 38 =2+6+4 12 9 no A 3
## 4783 38 =2+7+5 14 13 no A 1
## 4784 38 =2+8+1 11 13 no A -2
## 4785 38 =3+1+4 8 9 no A -1
## 4786 38 =3+2+4 9 11 no A -2
## 4787 38 =3+2+6 11 13 no A -2
## 4788 38 =3+7+1 11 9 no A 2
## 4789 38 =4+1+5 10 12 no A -2
## 4790 38 =4+1+6 11 12 no A -1
## 4791 38 =4+2+3 9 12 no A -3
## 4792 38 =4+2+6 12 10 no A 2
## 4793 38 =4+2+7 13 9 no A 4
## 4794 38 =4+5+1 10 11 no A -1
## 4795 38 =4+5+2 11 9 no A 2
## 4796 38 =4+7+1 12 10 no A 2
## 4797 38 =5+1+2 8 13 no A -5
## 4798 38 =5+3+1 9 10 no A -1
## 4799 38 =5+3+2 10 12 no A -2
## 4800 38 =5+3+4 12 11 no A 1
## 4801 38 =6+1+5 12 13 no A -1
## 4802 38 =6+2+1 9 14 no A -5
## 4803 38 =6+2+3 11 12 no A -1
## 4804 38 =6+4+2 12 11 no A 1
## 4805 38 =6+4+3 13 12 no A 1
## 4806 38 =6+5+2 13 10 no A 3
## 4807 38 =7+2+3 12 13 no A -1
## 4808 38 =7+3+1 11 12 no A -1
## 4809 38 =7+3+2 12 8 no A 4
## 4810 38 =7+3+4 14 11 no A 3
## 4811 38 =8+2+3 13 9 no A 4
## 4812 38 =9+1+2 12 11 no A 1
## 4813 38 =9+1+3 13 12 no A 1
## 4814 38 =9+3+1 13 11 no A 2
## 4815 38 =1+2+5 8 8 yes A 0
## 4816 38 =1+3+5 9 9 yes A 0
## 4817 38 =1+4+3 8 8 yes A 0
## 4818 38 =1+6+3 10 10 yes A 0
## 4819 38 =1+9+2 12 12 yes A 0
## 4820 38 =1+9+3 13 13 yes A 0
## 4821 38 =2+1+9 12 12 yes A 0
## 4822 38 =2+3+6 11 11 yes A 0
## 4823 38 =2+3+7 12 12 yes A 0
## 4824 38 =2+5+6 13 13 yes A 0
## 4825 38 =2+7+1 10 10 yes A 0
## 4826 38 =2+8+3 13 13 yes A 0
## 4827 38 =3+1+5 9 9 yes A 0
## 4828 38 =3+1+7 11 11 yes A 0
## 4829 38 =3+2+5 10 10 yes A 0
## 4830 38 =3+4+2 9 9 yes A 0
## 4831 38 =3+5+4 12 12 yes A 0
## 4832 38 =3+5+6 14 14 yes A 0
## 4833 38 =3+6+2 11 11 yes A 0
## 4834 38 =3+7+2 12 12 yes A 0
## 4835 38 =4+1+7 12 12 yes A 0
## 4836 38 =4+1+8 13 13 yes A 0
## 4837 38 =4+3+2 9 9 yes A 0
## 4838 38 =4+6+1 11 11 yes A 0
## 4839 38 =4+6+2 12 12 yes A 0
## 4840 38 =4+6+3 13 13 yes A 0
## 4841 38 =5+1+3 9 9 yes A 0
## 4842 38 =5+1+4 10 10 yes A 0
## 4843 38 =5+1+6 12 12 yes A 0
## 4844 38 =5+2+4 11 11 yes A 0
## 4845 38 =5+4+1 10 10 yes A 0
## 4846 38 =6+1+2 9 9 yes A 0
## 4847 38 =6+4+1 11 11 yes A 0
## 4848 38 =6+5+1 12 12 yes A 0
## 4849 38 =7+1+3 11 11 yes A 0
## 4850 38 =7+1+4 12 12 yes A 0
## 4851 38 =7+1+5 13 13 yes A 0
## 4852 38 =7+2+1 10 10 yes A 0
## 4853 38 =8+2+1 11 11 yes A 0
## 4854 38 =8+2+4 14 14 yes A 0
## 4855 38 =3-2-1 0 2 no S -2
## 4856 38 =4-1-3 0 5 no S -5
## 4857 38 =5-2-3 0 1 no S -1
## 4858 38 =5-4-1 0 3 no S -3
## 4859 38 =6-1-5 0 4 no S -4
## 4860 38 =6-2-1 3 0 no S 3
## 4861 38 =6-2-3 1 0 no S 1
## 4862 38 =6-2-4 0 1 no S -1
## 4863 38 =6-3-1 2 0 no S 2
## 4864 38 =7-2-1 4 0 no S 4
## 4865 38 =7-3-4 0 2 no S -2
## 4866 38 =7-4-1 2 0 no S 2
## 4867 38 =7-4-2 1 0 no S 1
## 4868 38 =7-5-2 0 1 no S -1
## 4869 38 =7-6-1 0 2 no S -2
## 4870 38 =8-1-4 3 2 no S 1
## 4871 38 =8-2-1 5 0 no S 5
## 4872 38 =8-2-6 0 1 no S -1
## 4873 38 =8-3-1 4 0 no S 4
## 4874 38 =8-3-4 1 0 no S 1
## 4875 38 =8-5-1 2 0 no S 2
## 4876 38 =8-5-2 1 6 no S -5
## 4877 38 =8-5-3 0 1 no S -1
## 4878 38 =8-7-1 0 4 no S -4
## 4879 38 =9-1-3 5 0 no S 5
## 4880 38 =9-1-5 3 0 no S 3
## 4881 38 =9-1-6 2 4 no S -2
## 4882 38 =9-2-1 6 3 no S 3
## 4883 38 =9-2-7 0 1 no S -1
## 4884 38 =9-3-2 4 0 no S 4
## 4885 38 =9-3-4 2 0 no S 2
## 4886 38 =9-3-5 1 0 no S 1
## 4887 38 =9-3-6 0 2 no S -2
## 4888 38 =9-4-2 3 0 no S 3
## 4889 38 =9-4-5 0 3 no S -3
## 4890 38 =9-6-2 1 5 no S -4
## 4891 38 =9-8-1 0 3 no S -3
## 4892 38 =3-1-2 0 0 yes S 0
## 4893 38 =4-3-1 0 0 yes S 0
## 4894 38 =5-1-4 0 0 yes S 0
## 4895 38 =5-3-2 0 0 yes S 0
## 4896 38 =6-1-2 3 3 yes S 0
## 4897 38 =6-1-3 2 2 yes S 0
## 4898 38 =6-3-2 1 1 yes S 0
## 4899 38 =6-4-2 0 0 yes S 0
## 4900 38 =6-5-1 0 0 yes S 0
## 4901 38 =7-1-2 4 4 yes S 0
## 4902 38 =7-1-4 2 2 yes S 0
## 4903 38 =7-1-6 0 0 yes S 0
## 4904 38 =7-2-4 1 1 yes S 0
## 4905 38 =7-2-5 0 0 yes S 0
## 4906 38 =7-4-3 0 0 yes S 0
## 4907 38 =8-1-2 5 5 yes S 0
## 4908 38 =8-1-3 4 4 yes S 0
## 4909 38 =8-1-5 2 2 yes S 0
## 4910 38 =8-1-7 0 0 yes S 0
## 4911 38 =8-2-5 1 1 yes S 0
## 4912 38 =8-3-5 0 0 yes S 0
## 4913 38 =8-4-1 3 3 yes S 0
## 4914 38 =8-4-3 1 1 yes S 0
## 4915 38 =8-6-2 0 0 yes S 0
## 4916 38 =9-1-2 6 6 yes S 0
## 4917 38 =9-1-8 0 0 yes S 0
## 4918 38 =9-2-3 4 4 yes S 0
## 4919 38 =9-2-4 3 3 yes S 0
## 4920 38 =9-2-6 1 1 yes S 0
## 4921 38 =9-3-1 5 5 yes S 0
## 4922 38 =9-4-3 2 2 yes S 0
## 4923 38 =9-5-1 3 3 yes S 0
## 4924 38 =9-5-3 1 1 yes S 0
## 4925 38 =9-5-4 0 0 yes S 0
## 4926 38 =9-6-1 2 2 yes S 0
## 4927 38 =9-6-3 0 0 yes S 0
## 4928 38 =9-7-2 0 0 yes S 0
## 4929 39 =1+2+9 12 8 no A 4
## 4930 39 =1+3+6 10 14 no A -4
## 4931 39 =1+5+3 9 12 no A -3
## 4932 39 =1+6+2 9 10 no A -1
## 4933 39 =1+7+2 10 11 no A -1
## 4934 39 =2+3+5 10 12 no A -2
## 4935 39 =2+4+5 11 10 no A 1
## 4936 39 =2+6+4 12 9 no A 3
## 4937 39 =2+7+5 14 13 no A 1
## 4938 39 =2+8+1 11 13 no A -2
## 4939 39 =3+1+4 8 9 no A -1
## 4940 39 =3+2+4 9 11 no A -2
## 4941 39 =3+2+6 11 13 no A -2
## 4942 39 =3+7+1 11 9 no A 2
## 4943 39 =4+1+5 10 12 no A -2
## 4944 39 =4+1+6 11 12 no A -1
## 4945 39 =4+2+3 9 12 no A -3
## 4946 39 =4+2+6 12 10 no A 2
## 4947 39 =4+2+7 13 9 no A 4
## 4948 39 =4+5+1 10 11 no A -1
## 4949 39 =4+5+2 11 9 no A 2
## 4950 39 =4+7+1 12 10 no A 2
## 4951 39 =5+1+2 8 13 no A -5
## 4952 39 =5+3+1 9 10 no A -1
## 4953 39 =5+3+2 10 12 no A -2
## 4954 39 =5+3+4 12 11 no A 1
## 4955 39 =6+1+5 12 13 no A -1
## 4956 39 =6+2+1 9 14 no A -5
## 4957 39 =6+2+3 11 12 no A -1
## 4958 39 =6+4+2 12 11 no A 1
## 4959 39 =6+4+3 13 12 no A 1
## 4960 39 =6+5+2 13 10 no A 3
## 4961 39 =7+2+3 12 13 no A -1
## 4962 39 =7+3+1 11 12 no A -1
## 4963 39 =7+3+2 12 8 no A 4
## 4964 39 =7+3+4 14 11 no A 3
## 4965 39 =8+2+3 13 9 no A 4
## 4966 39 =9+1+2 12 11 no A 1
## 4967 39 =9+1+3 13 12 no A 1
## 4968 39 =9+3+1 13 11 no A 2
## 4969 39 =1+2+5 8 8 yes A 0
## 4970 39 =1+3+5 9 9 yes A 0
## 4971 39 =1+4+3 8 8 yes A 0
## 4972 39 =1+6+3 10 10 yes A 0
## 4973 39 =1+9+2 12 12 yes A 0
## 4974 39 =1+9+3 13 13 yes A 0
## 4975 39 =2+1+9 12 12 yes A 0
## 4976 39 =2+3+6 11 11 yes A 0
## 4977 39 =2+3+7 12 12 yes A 0
## 4978 39 =2+5+6 13 13 yes A 0
## 4979 39 =2+7+1 10 10 yes A 0
## 4980 39 =2+8+3 13 13 yes A 0
## 4981 39 =3+1+5 9 9 yes A 0
## 4982 39 =3+1+7 11 11 yes A 0
## 4983 39 =3+2+5 10 10 yes A 0
## 4984 39 =3+4+2 9 9 yes A 0
## 4985 39 =3+5+4 12 12 yes A 0
## 4986 39 =3+5+6 14 14 yes A 0
## 4987 39 =3+6+2 11 11 yes A 0
## 4988 39 =3+7+2 12 12 yes A 0
## 4989 39 =4+1+7 12 12 yes A 0
## 4990 39 =4+1+8 13 13 yes A 0
## 4991 39 =4+3+2 9 9 yes A 0
## 4992 39 =4+6+1 11 11 yes A 0
## 4993 39 =4+6+2 12 12 yes A 0
## 4994 39 =4+6+3 13 13 yes A 0
## 4995 39 =5+1+3 9 9 yes A 0
## 4996 39 =5+1+4 10 10 yes A 0
## 4997 39 =5+1+6 12 12 yes A 0
## 4998 39 =5+2+4 11 11 yes A 0
## 4999 39 =5+4+1 10 10 yes A 0
## 5000 39 =6+1+2 9 9 yes A 0
## 5001 39 =6+4+1 11 11 yes A 0
## 5002 39 =6+5+1 12 12 yes A 0
## 5003 39 =7+1+3 11 11 yes A 0
## 5004 39 =7+1+4 12 12 yes A 0
## 5005 39 =7+1+5 13 13 yes A 0
## 5006 39 =7+2+1 10 10 yes A 0
## 5007 39 =8+2+1 11 11 yes A 0
## 5008 39 =8+2+4 14 14 yes A 0
## 5009 39 =3-2-1 0 2 no S -2
## 5010 39 =4-1-3 0 5 no S -5
## 5011 39 =5-2-3 0 1 no S -1
## 5012 39 =5-4-1 0 3 no S -3
## 5013 39 =6-1-5 0 4 no S -4
## 5014 39 =6-2-1 3 0 no S 3
## 5015 39 =6-2-3 1 0 no S 1
## 5016 39 =6-2-4 0 1 no S -1
## 5017 39 =6-3-1 2 0 no S 2
## 5018 39 =7-2-1 4 0 no S 4
## 5019 39 =7-3-4 0 2 no S -2
## 5020 39 =7-4-1 2 0 no S 2
## 5021 39 =7-4-2 1 0 no S 1
## 5022 39 =7-5-2 0 1 no S -1
## 5023 39 =7-6-1 0 2 no S -2
## 5024 39 =8-1-4 3 2 no S 1
## 5025 39 =8-2-1 5 0 no S 5
## 5026 39 =8-2-6 0 1 no S -1
## 5027 39 =8-3-1 4 0 no S 4
## 5028 39 =8-3-4 1 0 no S 1
## 5029 39 =8-5-1 2 0 no S 2
## 5030 39 =8-5-2 1 6 no S -5
## 5031 39 =8-5-3 0 1 no S -1
## 5032 39 =8-7-1 0 4 no S -4
## 5033 39 =9-1-3 5 0 no S 5
## 5034 39 =9-1-5 3 0 no S 3
## 5035 39 =9-1-6 2 4 no S -2
## 5036 39 =9-2-1 6 3 no S 3
## 5037 39 =9-2-7 0 1 no S -1
## 5038 39 =9-3-2 4 0 no S 4
## 5039 39 =9-3-4 2 0 no S 2
## 5040 39 =9-3-5 1 0 no S 1
## 5041 39 =9-3-6 0 2 no S -2
## 5042 39 =9-4-2 3 0 no S 3
## 5043 39 =9-4-5 0 3 no S -3
## 5044 39 =9-6-2 1 5 no S -4
## 5045 39 =9-8-1 0 3 no S -3
## 5046 39 =3-1-2 0 0 yes S 0
## 5047 39 =4-3-1 0 0 yes S 0
## 5048 39 =5-1-4 0 0 yes S 0
## 5049 39 =5-3-2 0 0 yes S 0
## 5050 39 =6-1-2 3 3 yes S 0
## 5051 39 =6-1-3 2 2 yes S 0
## 5052 39 =6-3-2 1 1 yes S 0
## 5053 39 =6-4-2 0 0 yes S 0
## 5054 39 =6-5-1 0 0 yes S 0
## 5055 39 =7-1-2 4 4 yes S 0
## 5056 39 =7-1-4 2 2 yes S 0
## 5057 39 =7-1-6 0 0 yes S 0
## 5058 39 =7-2-4 1 1 yes S 0
## 5059 39 =7-2-5 0 0 yes S 0
## 5060 39 =7-4-3 0 0 yes S 0
## 5061 39 =8-1-2 5 5 yes S 0
## 5062 39 =8-1-3 4 4 yes S 0
## 5063 39 =8-1-5 2 2 yes S 0
## 5064 39 =8-1-7 0 0 yes S 0
## 5065 39 =8-2-5 1 1 yes S 0
## 5066 39 =8-3-5 0 0 yes S 0
## 5067 39 =8-4-1 3 3 yes S 0
## 5068 39 =8-4-3 1 1 yes S 0
## 5069 39 =8-6-2 0 0 yes S 0
## 5070 39 =9-1-2 6 6 yes S 0
## 5071 39 =9-1-8 0 0 yes S 0
## 5072 39 =9-2-3 4 4 yes S 0
## 5073 39 =9-2-4 3 3 yes S 0
## 5074 39 =9-2-6 1 1 yes S 0
## 5075 39 =9-3-1 5 5 yes S 0
## 5076 39 =9-4-3 2 2 yes S 0
## 5077 39 =9-5-1 3 3 yes S 0
## 5078 39 =9-5-3 1 1 yes S 0
## 5079 39 =9-5-4 0 0 yes S 0
## 5080 39 =9-6-1 2 2 yes S 0
## 5081 39 =9-6-3 0 0 yes S 0
## 5082 39 =9-7-2 0 0 yes S 0
## 5083 4 =1+2+5 8 9 no A -1
## 5084 4 =1+3+5 9 11 no A -2
## 5085 4 =1+4+3 8 12 no A -4
## 5086 4 =1+6+3 10 12 no A -2
## 5087 4 =1+9+2 12 11 no A 1
## 5088 4 =1+9+3 13 12 no A 1
## 5089 4 =2+1+9 12 11 no A 1
## 5090 4 =2+3+6 11 10 no A 1
## 5091 4 =2+3+7 12 11 no A 1
## 5092 4 =2+5+6 13 9 no A 4
## 5093 4 =2+7+1 10 12 no A -2
## 5094 4 =2+8+3 13 11 no A 2
## 5095 4 =3+1+5 9 12 no A -3
## 5096 4 =3+1+7 11 12 no A -1
## 5097 4 =3+2+5 10 14 no A -4
## 5098 4 =3+4+2 9 10 no A -1
## 5099 4 =3+5+4 12 10 no A 2
## 5100 4 =3+5+6 14 13 no A 1
## 5101 4 =3+6+2 11 12 no A -1
## 5102 4 =3+7+2 12 8 no A 4
## 5103 4 =4+1+7 12 9 no A 3
## 5104 4 =4+1+8 13 10 no A 3
## 5105 4 =4+3+2 9 10 no A -1
## 5106 4 =4+6+1 11 12 no A -1
## 5107 4 =4+6+2 12 13 no A -1
## 5108 4 =4+6+3 13 12 no A 1
## 5109 4 =5+1+3 9 14 no A -5
## 5110 4 =5+1+4 10 11 no A -1
## 5111 4 =5+1+6 12 8 no A 4
## 5112 4 =5+2+4 11 13 no A -2
## 5113 4 =5+4+1 10 12 no A -2
## 5114 4 =6+1+2 9 13 no A -4
## 5115 4 =6+4+1 11 13 no A -2
## 5116 4 =6+5+1 12 13 no A -1
## 5117 4 =7+1+3 11 9 no A 2
## 5118 4 =7+1+4 12 10 no A 2
## 5119 4 =7+1+5 13 9 no A 4
## 5120 4 =7+2+1 10 11 no A -1
## 5121 4 =8+2+1 11 9 no A 2
## 5122 4 =8+2+4 14 11 no A 3
## 5123 4 =1+2+9 12 12 yes A 0
## 5124 4 =1+3+6 10 10 yes A 0
## 5125 4 =1+5+3 9 9 yes A 0
## 5126 4 =1+6+2 9 9 yes A 0
## 5127 4 =1+7+2 10 10 yes A 0
## 5128 4 =2+3+5 10 10 yes A 0
## 5129 4 =2+4+5 11 11 yes A 0
## 5130 4 =2+6+4 12 12 yes A 0
## 5131 4 =2+7+5 14 14 yes A 0
## 5132 4 =2+8+1 11 11 yes A 0
## 5133 4 =3+1+4 8 8 yes A 0
## 5134 4 =3+2+4 9 9 yes A 0
## 5135 4 =3+2+6 11 11 yes A 0
## 5136 4 =3+7+1 11 11 yes A 0
## 5137 4 =4+1+5 10 10 yes A 0
## 5138 4 =4+1+6 11 11 yes A 0
## 5139 4 =4+2+3 9 9 yes A 0
## 5140 4 =4+2+6 12 12 yes A 0
## 5141 4 =4+2+7 13 13 yes A 0
## 5142 4 =4+5+1 10 10 yes A 0
## 5143 4 =4+5+2 11 11 yes A 0
## 5144 4 =4+7+1 12 12 yes A 0
## 5145 4 =5+1+2 8 8 yes A 0
## 5146 4 =5+3+1 9 9 yes A 0
## 5147 4 =5+3+2 10 10 yes A 0
## 5148 4 =5+3+4 12 12 yes A 0
## 5149 4 =6+1+5 12 12 yes A 0
## 5150 4 =6+2+1 9 9 yes A 0
## 5151 4 =6+2+3 11 11 yes A 0
## 5152 4 =6+4+2 12 12 yes A 0
## 5153 4 =6+4+3 13 13 yes A 0
## 5154 4 =6+5+2 13 13 yes A 0
## 5155 4 =7+2+3 12 12 yes A 0
## 5156 4 =7+3+1 11 11 yes A 0
## 5157 4 =7+3+2 12 12 yes A 0
## 5158 4 =7+3+4 14 14 yes A 0
## 5159 4 =8+2+3 13 13 yes A 0
## 5160 4 =9+1+2 12 12 yes A 0
## 5161 4 =9+1+3 13 13 yes A 0
## 5162 4 =9+3+1 13 13 yes A 0
## 5163 4 =3-1-2 0 4 no S -4
## 5164 4 =4-3-1 0 2 no S -2
## 5165 4 =5-1-4 0 3 no S -3
## 5166 4 =5-3-2 0 1 no S -1
## 5167 4 =6-1-2 3 0 no S 3
## 5168 4 =6-1-3 2 0 no S 2
## 5169 4 =6-3-2 1 4 no S -3
## 5170 4 =6-4-2 0 1 no S -1
## 5171 4 =6-5-1 0 3 no S -3
## 5172 4 =7-1-2 4 0 no S 4
## 5173 4 =7-1-4 2 0 no S 2
## 5174 4 =7-1-6 0 3 no S -3
## 5175 4 =7-2-4 1 0 no S 1
## 5176 4 =7-2-5 0 1 no S -1
## 5177 4 =7-4-3 0 1 no S -1
## 5178 4 =8-1-2 5 0 no S 5
## 5179 4 =8-1-3 4 0 no S 4
## 5180 4 =8-1-5 2 0 no S 2
## 5181 4 =8-1-7 0 5 no S -5
## 5182 4 =8-2-5 1 6 no S -5
## 5183 4 =8-3-5 0 2 no S -2
## 5184 4 =8-4-1 3 0 no S 3
## 5185 4 =8-4-3 1 0 no S 1
## 5186 4 =8-6-2 0 5 no S -5
## 5187 4 =9-1-2 6 3 no S 3
## 5188 4 =9-1-8 0 2 no S -2
## 5189 4 =9-2-3 4 0 no S 4
## 5190 4 =9-2-4 3 0 no S 3
## 5191 4 =9-2-6 1 0 no S 1
## 5192 4 =9-3-1 5 0 no S 5
## 5193 4 =9-4-3 2 1 no S 1
## 5194 4 =9-5-1 3 2 no S 1
## 5195 4 =9-5-3 1 0 no S 1
## 5196 4 =9-5-4 0 2 no S -2
## 5197 4 =9-6-1 2 0 no S 2
## 5198 4 =9-6-3 0 1 no S -1
## 5199 4 =9-7-2 0 4 no S -4
## 5200 4 =3-2-1 0 0 yes S 0
## 5201 4 =4-1-3 0 0 yes S 0
## 5202 4 =5-2-3 0 0 yes S 0
## 5203 4 =5-4-1 0 0 yes S 0
## 5204 4 =6-1-5 0 0 yes S 0
## 5205 4 =6-2-1 3 3 yes S 0
## 5206 4 =6-2-3 1 1 yes S 0
## 5207 4 =6-2-4 0 0 yes S 0
## 5208 4 =6-3-1 2 2 yes S 0
## 5209 4 =7-2-1 4 4 yes S 0
## 5210 4 =7-3-4 0 0 yes S 0
## 5211 4 =7-4-1 2 2 yes S 0
## 5212 4 =7-4-2 1 1 yes S 0
## 5213 4 =7-5-2 0 0 yes S 0
## 5214 4 =7-6-1 0 0 yes S 0
## 5215 4 =8-1-4 3 3 yes S 0
## 5216 4 =8-2-1 5 5 yes S 0
## 5217 4 =8-2-6 0 0 yes S 0
## 5218 4 =8-3-1 4 4 yes S 0
## 5219 4 =8-3-4 1 1 yes S 0
## 5220 4 =8-5-1 2 2 yes S 0
## 5221 4 =8-5-2 1 1 yes S 0
## 5222 4 =8-5-3 0 0 yes S 0
## 5223 4 =8-7-1 0 0 yes S 0
## 5224 4 =9-1-3 5 5 yes S 0
## 5225 4 =9-1-5 3 3 yes S 0
## 5226 4 =9-1-6 2 2 yes S 0
## 5227 4 =9-2-1 6 6 yes S 0
## 5228 4 =9-2-7 0 0 yes S 0
## 5229 4 =9-3-2 4 4 yes S 0
## 5230 4 =9-3-4 2 2 yes S 0
## 5231 4 =9-3-5 1 1 yes S 0
## 5232 4 =9-3-6 0 0 yes S 0
## 5233 4 =9-4-2 3 3 yes S 0
## 5234 4 =9-4-5 0 0 yes S 0
## 5235 4 =9-6-2 1 1 yes S 0
## 5236 4 =9-8-1 0 0 yes S 0
## 5237 40 =1+2+9 12 8 no A 4
## 5238 40 =1+3+6 10 14 no A -4
## 5239 40 =1+5+3 9 12 no A -3
## 5240 40 =1+6+2 9 10 no A -1
## 5241 40 =1+7+2 10 11 no A -1
## 5242 40 =2+3+5 10 12 no A -2
## 5243 40 =2+4+5 11 10 no A 1
## 5244 40 =2+6+4 12 9 no A 3
## 5245 40 =2+7+5 14 13 no A 1
## 5246 40 =2+8+1 11 13 no A -2
## 5247 40 =3+1+4 8 9 no A -1
## 5248 40 =3+2+4 9 11 no A -2
## 5249 40 =3+2+6 11 13 no A -2
## 5250 40 =3+7+1 11 9 no A 2
## 5251 40 =4+1+5 10 12 no A -2
## 5252 40 =4+1+6 11 12 no A -1
## 5253 40 =4+2+3 9 12 no A -3
## 5254 40 =4+2+6 12 10 no A 2
## 5255 40 =4+2+7 13 9 no A 4
## 5256 40 =4+5+1 10 11 no A -1
## 5257 40 =4+5+2 11 9 no A 2
## 5258 40 =4+7+1 12 10 no A 2
## 5259 40 =5+1+2 8 13 no A -5
## 5260 40 =5+3+1 9 10 no A -1
## 5261 40 =5+3+2 10 12 no A -2
## 5262 40 =5+3+4 12 11 no A 1
## 5263 40 =6+1+5 12 13 no A -1
## 5264 40 =6+2+1 9 14 no A -5
## 5265 40 =6+2+3 11 12 no A -1
## 5266 40 =6+4+2 12 11 no A 1
## 5267 40 =6+4+3 13 12 no A 1
## 5268 40 =6+5+2 13 10 no A 3
## 5269 40 =7+2+3 12 13 no A -1
## 5270 40 =7+3+1 11 12 no A -1
## 5271 40 =7+3+2 12 8 no A 4
## 5272 40 =7+3+4 14 11 no A 3
## 5273 40 =8+2+3 13 9 no A 4
## 5274 40 =9+1+2 12 11 no A 1
## 5275 40 =9+1+3 13 12 no A 1
## 5276 40 =9+3+1 13 11 no A 2
## 5277 40 =1+2+5 8 8 yes A 0
## 5278 40 =1+3+5 9 9 yes A 0
## 5279 40 =1+4+3 8 8 yes A 0
## 5280 40 =1+6+3 10 10 yes A 0
## 5281 40 =1+9+2 12 12 yes A 0
## 5282 40 =1+9+3 13 13 yes A 0
## 5283 40 =2+1+9 12 12 yes A 0
## 5284 40 =2+3+6 11 11 yes A 0
## 5285 40 =2+3+7 12 12 yes A 0
## 5286 40 =2+5+6 13 13 yes A 0
## 5287 40 =2+7+1 10 10 yes A 0
## 5288 40 =2+8+3 13 13 yes A 0
## 5289 40 =3+1+5 9 9 yes A 0
## 5290 40 =3+1+7 11 11 yes A 0
## 5291 40 =3+2+5 10 10 yes A 0
## 5292 40 =3+4+2 9 9 yes A 0
## 5293 40 =3+5+4 12 12 yes A 0
## 5294 40 =3+5+6 14 14 yes A 0
## 5295 40 =3+6+2 11 11 yes A 0
## 5296 40 =3+7+2 12 12 yes A 0
## 5297 40 =4+1+7 12 12 yes A 0
## 5298 40 =4+1+8 13 13 yes A 0
## 5299 40 =4+3+2 9 9 yes A 0
## 5300 40 =4+6+1 11 11 yes A 0
## 5301 40 =4+6+2 12 12 yes A 0
## 5302 40 =4+6+3 13 13 yes A 0
## 5303 40 =5+1+3 9 9 yes A 0
## 5304 40 =5+1+4 10 10 yes A 0
## 5305 40 =5+1+6 12 12 yes A 0
## 5306 40 =5+2+4 11 11 yes A 0
## 5307 40 =5+4+1 10 10 yes A 0
## 5308 40 =6+1+2 9 9 yes A 0
## 5309 40 =6+4+1 11 11 yes A 0
## 5310 40 =6+5+1 12 12 yes A 0
## 5311 40 =7+1+3 11 11 yes A 0
## 5312 40 =7+1+4 12 12 yes A 0
## 5313 40 =7+1+5 13 13 yes A 0
## 5314 40 =7+2+1 10 10 yes A 0
## 5315 40 =8+2+1 11 11 yes A 0
## 5316 40 =8+2+4 14 14 yes A 0
## 5317 40 =3-2-1 0 2 no S -2
## 5318 40 =4-1-3 0 5 no S -5
## 5319 40 =5-2-3 0 1 no S -1
## 5320 40 =5-4-1 0 3 no S -3
## 5321 40 =6-1-5 0 4 no S -4
## 5322 40 =6-2-1 3 0 no S 3
## 5323 40 =6-2-3 1 0 no S 1
## 5324 40 =6-2-4 0 1 no S -1
## 5325 40 =6-3-1 2 0 no S 2
## 5326 40 =7-2-1 4 0 no S 4
## 5327 40 =7-3-4 0 2 no S -2
## 5328 40 =7-4-1 2 0 no S 2
## 5329 40 =7-4-2 1 0 no S 1
## 5330 40 =7-5-2 0 1 no S -1
## 5331 40 =7-6-1 0 2 no S -2
## 5332 40 =8-1-4 3 2 no S 1
## 5333 40 =8-2-1 5 0 no S 5
## 5334 40 =8-2-6 0 1 no S -1
## 5335 40 =8-3-1 4 0 no S 4
## 5336 40 =8-3-4 1 0 no S 1
## 5337 40 =8-5-1 2 0 no S 2
## 5338 40 =8-5-2 1 6 no S -5
## 5339 40 =8-5-3 0 1 no S -1
## 5340 40 =8-7-1 0 4 no S -4
## 5341 40 =9-1-3 5 0 no S 5
## 5342 40 =9-1-5 3 0 no S 3
## 5343 40 =9-1-6 2 4 no S -2
## 5344 40 =9-2-1 6 3 no S 3
## 5345 40 =9-2-7 0 1 no S -1
## 5346 40 =9-3-2 4 0 no S 4
## 5347 40 =9-3-4 2 0 no S 2
## 5348 40 =9-3-5 1 0 no S 1
## 5349 40 =9-3-6 0 2 no S -2
## 5350 40 =9-4-2 3 0 no S 3
## 5351 40 =9-4-5 0 3 no S -3
## 5352 40 =9-6-2 1 5 no S -4
## 5353 40 =9-8-1 0 3 no S -3
## 5354 40 =3-1-2 0 0 yes S 0
## 5355 40 =4-3-1 0 0 yes S 0
## 5356 40 =5-1-4 0 0 yes S 0
## 5357 40 =5-3-2 0 0 yes S 0
## 5358 40 =6-1-2 3 3 yes S 0
## 5359 40 =6-1-3 2 2 yes S 0
## 5360 40 =6-3-2 1 1 yes S 0
## 5361 40 =6-4-2 0 0 yes S 0
## 5362 40 =6-5-1 0 0 yes S 0
## 5363 40 =7-1-2 4 4 yes S 0
## 5364 40 =7-1-4 2 2 yes S 0
## 5365 40 =7-1-6 0 0 yes S 0
## 5366 40 =7-2-4 1 1 yes S 0
## 5367 40 =7-2-5 0 0 yes S 0
## 5368 40 =7-4-3 0 0 yes S 0
## 5369 40 =8-1-2 5 5 yes S 0
## 5370 40 =8-1-3 4 4 yes S 0
## 5371 40 =8-1-5 2 2 yes S 0
## 5372 40 =8-1-7 0 0 yes S 0
## 5373 40 =8-2-5 1 1 yes S 0
## 5374 40 =8-3-5 0 0 yes S 0
## 5375 40 =8-4-1 3 3 yes S 0
## 5376 40 =8-4-3 1 1 yes S 0
## 5377 40 =8-6-2 0 0 yes S 0
## 5378 40 =9-1-2 6 6 yes S 0
## 5379 40 =9-1-8 0 0 yes S 0
## 5380 40 =9-2-3 4 4 yes S 0
## 5381 40 =9-2-4 3 3 yes S 0
## 5382 40 =9-2-6 1 1 yes S 0
## 5383 40 =9-3-1 5 5 yes S 0
## 5384 40 =9-4-3 2 2 yes S 0
## 5385 40 =9-5-1 3 3 yes S 0
## 5386 40 =9-5-3 1 1 yes S 0
## 5387 40 =9-5-4 0 0 yes S 0
## 5388 40 =9-6-1 2 2 yes S 0
## 5389 40 =9-6-3 0 0 yes S 0
## 5390 40 =9-7-2 0 0 yes S 0
## 5391 41 =1+2+9 12 8 no A 4
## 5392 41 =1+3+6 10 14 no A -4
## 5393 41 =1+5+3 9 12 no A -3
## 5394 41 =1+6+2 9 10 no A -1
## 5395 41 =1+7+2 10 11 no A -1
## 5396 41 =2+3+5 10 12 no A -2
## 5397 41 =2+4+5 11 10 no A 1
## 5398 41 =2+6+4 12 9 no A 3
## 5399 41 =2+7+5 14 13 no A 1
## 5400 41 =2+8+1 11 13 no A -2
## 5401 41 =3+1+4 8 9 no A -1
## 5402 41 =3+2+4 9 11 no A -2
## 5403 41 =3+2+6 11 13 no A -2
## 5404 41 =3+7+1 11 9 no A 2
## 5405 41 =4+1+5 10 12 no A -2
## 5406 41 =4+1+6 11 12 no A -1
## 5407 41 =4+2+3 9 12 no A -3
## 5408 41 =4+2+6 12 10 no A 2
## 5409 41 =4+2+7 13 9 no A 4
## 5410 41 =4+5+1 10 11 no A -1
## 5411 41 =4+5+2 11 9 no A 2
## 5412 41 =4+7+1 12 10 no A 2
## 5413 41 =5+1+2 8 13 no A -5
## 5414 41 =5+3+1 9 10 no A -1
## 5415 41 =5+3+2 10 12 no A -2
## 5416 41 =5+3+4 12 11 no A 1
## 5417 41 =6+1+5 12 13 no A -1
## 5418 41 =6+2+1 9 14 no A -5
## 5419 41 =6+2+3 11 12 no A -1
## 5420 41 =6+4+2 12 11 no A 1
## 5421 41 =6+4+3 13 12 no A 1
## 5422 41 =6+5+2 13 10 no A 3
## 5423 41 =7+2+3 12 13 no A -1
## 5424 41 =7+3+1 11 12 no A -1
## 5425 41 =7+3+2 12 8 no A 4
## 5426 41 =7+3+4 14 11 no A 3
## 5427 41 =8+2+3 13 9 no A 4
## 5428 41 =9+1+2 12 11 no A 1
## 5429 41 =9+1+3 13 12 no A 1
## 5430 41 =9+3+1 13 11 no A 2
## 5431 41 =1+2+5 8 8 yes A 0
## 5432 41 =1+3+5 9 9 yes A 0
## 5433 41 =1+4+3 8 8 yes A 0
## 5434 41 =1+6+3 10 10 yes A 0
## 5435 41 =1+9+2 12 12 yes A 0
## 5436 41 =1+9+3 13 13 yes A 0
## 5437 41 =2+1+9 12 12 yes A 0
## 5438 41 =2+3+6 11 11 yes A 0
## 5439 41 =2+3+7 12 12 yes A 0
## 5440 41 =2+5+6 13 13 yes A 0
## 5441 41 =2+7+1 10 10 yes A 0
## 5442 41 =2+8+3 13 13 yes A 0
## 5443 41 =3+1+5 9 9 yes A 0
## 5444 41 =3+1+7 11 11 yes A 0
## 5445 41 =3+2+5 10 10 yes A 0
## 5446 41 =3+4+2 9 9 yes A 0
## 5447 41 =3+5+4 12 12 yes A 0
## 5448 41 =3+5+6 14 14 yes A 0
## 5449 41 =3+6+2 11 11 yes A 0
## 5450 41 =3+7+2 12 12 yes A 0
## 5451 41 =4+1+7 12 12 yes A 0
## 5452 41 =4+1+8 13 13 yes A 0
## 5453 41 =4+3+2 9 9 yes A 0
## 5454 41 =4+6+1 11 11 yes A 0
## 5455 41 =4+6+2 12 12 yes A 0
## 5456 41 =4+6+3 13 13 yes A 0
## 5457 41 =5+1+3 9 9 yes A 0
## 5458 41 =5+1+4 10 10 yes A 0
## 5459 41 =5+1+6 12 12 yes A 0
## 5460 41 =5+2+4 11 11 yes A 0
## 5461 41 =5+4+1 10 10 yes A 0
## 5462 41 =6+1+2 9 9 yes A 0
## 5463 41 =6+4+1 11 11 yes A 0
## 5464 41 =6+5+1 12 12 yes A 0
## 5465 41 =7+1+3 11 11 yes A 0
## 5466 41 =7+1+4 12 12 yes A 0
## 5467 41 =7+1+5 13 13 yes A 0
## 5468 41 =7+2+1 10 10 yes A 0
## 5469 41 =8+2+1 11 11 yes A 0
## 5470 41 =8+2+4 14 14 yes A 0
## 5471 41 =3-2-1 0 2 no S -2
## 5472 41 =4-1-3 0 5 no S -5
## 5473 41 =5-2-3 0 1 no S -1
## 5474 41 =5-4-1 0 3 no S -3
## 5475 41 =6-1-5 0 4 no S -4
## 5476 41 =6-2-1 3 0 no S 3
## 5477 41 =6-2-3 1 0 no S 1
## 5478 41 =6-2-4 0 1 no S -1
## 5479 41 =6-3-1 2 0 no S 2
## 5480 41 =7-2-1 4 0 no S 4
## 5481 41 =7-3-4 0 2 no S -2
## 5482 41 =7-4-1 2 0 no S 2
## 5483 41 =7-4-2 1 0 no S 1
## 5484 41 =7-5-2 0 1 no S -1
## 5485 41 =7-6-1 0 2 no S -2
## 5486 41 =8-1-4 3 2 no S 1
## 5487 41 =8-2-1 5 0 no S 5
## 5488 41 =8-2-6 0 1 no S -1
## 5489 41 =8-3-1 4 0 no S 4
## 5490 41 =8-3-4 1 0 no S 1
## 5491 41 =8-5-1 2 0 no S 2
## 5492 41 =8-5-2 1 6 no S -5
## 5493 41 =8-5-3 0 1 no S -1
## 5494 41 =8-7-1 0 4 no S -4
## 5495 41 =9-1-3 5 0 no S 5
## 5496 41 =9-1-5 3 0 no S 3
## 5497 41 =9-1-6 2 4 no S -2
## 5498 41 =9-2-1 6 3 no S 3
## 5499 41 =9-2-7 0 1 no S -1
## 5500 41 =9-3-2 4 0 no S 4
## 5501 41 =9-3-4 2 0 no S 2
## 5502 41 =9-3-5 1 0 no S 1
## 5503 41 =9-3-6 0 2 no S -2
## 5504 41 =9-4-2 3 0 no S 3
## 5505 41 =9-4-5 0 3 no S -3
## 5506 41 =9-6-2 1 5 no S -4
## 5507 41 =9-8-1 0 3 no S -3
## 5508 41 =3-1-2 0 0 yes S 0
## 5509 41 =4-3-1 0 0 yes S 0
## 5510 41 =5-1-4 0 0 yes S 0
## 5511 41 =5-3-2 0 0 yes S 0
## 5512 41 =6-1-2 3 3 yes S 0
## 5513 41 =6-1-3 2 2 yes S 0
## 5514 41 =6-3-2 1 1 yes S 0
## 5515 41 =6-4-2 0 0 yes S 0
## 5516 41 =6-5-1 0 0 yes S 0
## 5517 41 =7-1-2 4 4 yes S 0
## 5518 41 =7-1-4 2 2 yes S 0
## 5519 41 =7-1-6 0 0 yes S 0
## 5520 41 =7-2-4 1 1 yes S 0
## 5521 41 =7-2-5 0 0 yes S 0
## 5522 41 =7-4-3 0 0 yes S 0
## 5523 41 =8-1-2 5 5 yes S 0
## 5524 41 =8-1-3 4 4 yes S 0
## 5525 41 =8-1-5 2 2 yes S 0
## 5526 41 =8-1-7 0 0 yes S 0
## 5527 41 =8-2-5 1 1 yes S 0
## 5528 41 =8-3-5 0 0 yes S 0
## 5529 41 =8-4-1 3 3 yes S 0
## 5530 41 =8-4-3 1 1 yes S 0
## 5531 41 =8-6-2 0 0 yes S 0
## 5532 41 =9-1-2 6 6 yes S 0
## 5533 41 =9-1-8 0 0 yes S 0
## 5534 41 =9-2-3 4 4 yes S 0
## 5535 41 =9-2-4 3 3 yes S 0
## 5536 41 =9-2-6 1 1 yes S 0
## 5537 41 =9-3-1 5 5 yes S 0
## 5538 41 =9-4-3 2 2 yes S 0
## 5539 41 =9-5-1 3 3 yes S 0
## 5540 41 =9-5-3 1 1 yes S 0
## 5541 41 =9-5-4 0 0 yes S 0
## 5542 41 =9-6-1 2 2 yes S 0
## 5543 41 =9-6-3 0 0 yes S 0
## 5544 41 =9-7-2 0 0 yes S 0
## 5545 42 =1+2+9 12 8 no A 4
## 5546 42 =1+3+6 10 14 no A -4
## 5547 42 =1+5+3 9 12 no A -3
## 5548 42 =1+6+2 9 10 no A -1
## 5549 42 =1+7+2 10 11 no A -1
## 5550 42 =2+3+5 10 12 no A -2
## 5551 42 =2+4+5 11 10 no A 1
## 5552 42 =2+6+4 12 9 no A 3
## 5553 42 =2+7+5 14 13 no A 1
## 5554 42 =2+8+1 11 13 no A -2
## 5555 42 =3+1+4 8 9 no A -1
## 5556 42 =3+2+4 9 11 no A -2
## 5557 42 =3+2+6 11 13 no A -2
## 5558 42 =3+7+1 11 9 no A 2
## 5559 42 =4+1+5 10 12 no A -2
## 5560 42 =4+1+6 11 12 no A -1
## 5561 42 =4+2+3 9 12 no A -3
## 5562 42 =4+2+6 12 10 no A 2
## 5563 42 =4+2+7 13 9 no A 4
## 5564 42 =4+5+1 10 11 no A -1
## 5565 42 =4+5+2 11 9 no A 2
## 5566 42 =4+7+1 12 10 no A 2
## 5567 42 =5+1+2 8 13 no A -5
## 5568 42 =5+3+1 9 10 no A -1
## 5569 42 =5+3+2 10 12 no A -2
## 5570 42 =5+3+4 12 11 no A 1
## 5571 42 =6+1+5 12 13 no A -1
## 5572 42 =6+2+1 9 14 no A -5
## 5573 42 =6+2+3 11 12 no A -1
## 5574 42 =6+4+2 12 11 no A 1
## 5575 42 =6+4+3 13 12 no A 1
## 5576 42 =6+5+2 13 10 no A 3
## 5577 42 =7+2+3 12 13 no A -1
## 5578 42 =7+3+1 11 12 no A -1
## 5579 42 =7+3+2 12 8 no A 4
## 5580 42 =7+3+4 14 11 no A 3
## 5581 42 =8+2+3 13 9 no A 4
## 5582 42 =9+1+2 12 11 no A 1
## 5583 42 =9+1+3 13 12 no A 1
## 5584 42 =9+3+1 13 11 no A 2
## 5585 42 =1+2+5 8 8 yes A 0
## 5586 42 =1+3+5 9 9 yes A 0
## 5587 42 =1+4+3 8 8 yes A 0
## 5588 42 =1+6+3 10 10 yes A 0
## 5589 42 =1+9+2 12 12 yes A 0
## 5590 42 =1+9+3 13 13 yes A 0
## 5591 42 =2+1+9 12 12 yes A 0
## 5592 42 =2+3+6 11 11 yes A 0
## 5593 42 =2+3+7 12 12 yes A 0
## 5594 42 =2+5+6 13 13 yes A 0
## 5595 42 =2+7+1 10 10 yes A 0
## 5596 42 =2+8+3 13 13 yes A 0
## 5597 42 =3+1+5 9 9 yes A 0
## 5598 42 =3+1+7 11 11 yes A 0
## 5599 42 =3+2+5 10 10 yes A 0
## 5600 42 =3+4+2 9 9 yes A 0
## 5601 42 =3+5+4 12 12 yes A 0
## 5602 42 =3+5+6 14 14 yes A 0
## 5603 42 =3+6+2 11 11 yes A 0
## 5604 42 =3+7+2 12 12 yes A 0
## 5605 42 =4+1+7 12 12 yes A 0
## 5606 42 =4+1+8 13 13 yes A 0
## 5607 42 =4+3+2 9 9 yes A 0
## 5608 42 =4+6+1 11 11 yes A 0
## 5609 42 =4+6+2 12 12 yes A 0
## 5610 42 =4+6+3 13 13 yes A 0
## 5611 42 =5+1+3 9 9 yes A 0
## 5612 42 =5+1+4 10 10 yes A 0
## 5613 42 =5+1+6 12 12 yes A 0
## 5614 42 =5+2+4 11 11 yes A 0
## 5615 42 =5+4+1 10 10 yes A 0
## 5616 42 =6+1+2 9 9 yes A 0
## 5617 42 =6+4+1 11 11 yes A 0
## 5618 42 =6+5+1 12 12 yes A 0
## 5619 42 =7+1+3 11 11 yes A 0
## 5620 42 =7+1+4 12 12 yes A 0
## 5621 42 =7+1+5 13 13 yes A 0
## 5622 42 =7+2+1 10 10 yes A 0
## 5623 42 =8+2+1 11 11 yes A 0
## 5624 42 =8+2+4 14 14 yes A 0
## 5625 42 =3-2-1 0 2 no S -2
## 5626 42 =4-1-3 0 5 no S -5
## 5627 42 =5-2-3 0 1 no S -1
## 5628 42 =5-4-1 0 3 no S -3
## 5629 42 =6-1-5 0 4 no S -4
## 5630 42 =6-2-1 3 0 no S 3
## 5631 42 =6-2-3 1 0 no S 1
## 5632 42 =6-2-4 0 1 no S -1
## 5633 42 =6-3-1 2 0 no S 2
## 5634 42 =7-2-1 4 0 no S 4
## 5635 42 =7-3-4 0 2 no S -2
## 5636 42 =7-4-1 2 0 no S 2
## 5637 42 =7-4-2 1 0 no S 1
## 5638 42 =7-5-2 0 1 no S -1
## 5639 42 =7-6-1 0 2 no S -2
## 5640 42 =8-1-4 3 2 no S 1
## 5641 42 =8-2-1 5 0 no S 5
## 5642 42 =8-2-6 0 1 no S -1
## 5643 42 =8-3-1 4 0 no S 4
## 5644 42 =8-3-4 1 0 no S 1
## 5645 42 =8-5-1 2 0 no S 2
## 5646 42 =8-5-2 1 6 no S -5
## 5647 42 =8-5-3 0 1 no S -1
## 5648 42 =8-7-1 0 4 no S -4
## 5649 42 =9-1-3 5 0 no S 5
## 5650 42 =9-1-5 3 0 no S 3
## 5651 42 =9-1-6 2 4 no S -2
## 5652 42 =9-2-1 6 3 no S 3
## 5653 42 =9-2-7 0 1 no S -1
## 5654 42 =9-3-2 4 0 no S 4
## 5655 42 =9-3-4 2 0 no S 2
## 5656 42 =9-3-5 1 0 no S 1
## 5657 42 =9-3-6 0 2 no S -2
## 5658 42 =9-4-2 3 0 no S 3
## 5659 42 =9-4-5 0 3 no S -3
## 5660 42 =9-6-2 1 5 no S -4
## 5661 42 =9-8-1 0 3 no S -3
## 5662 42 =3-1-2 0 0 yes S 0
## 5663 42 =4-3-1 0 0 yes S 0
## 5664 42 =5-1-4 0 0 yes S 0
## 5665 42 =5-3-2 0 0 yes S 0
## 5666 42 =6-1-2 3 3 yes S 0
## 5667 42 =6-1-3 2 2 yes S 0
## 5668 42 =6-3-2 1 1 yes S 0
## 5669 42 =6-4-2 0 0 yes S 0
## 5670 42 =6-5-1 0 0 yes S 0
## 5671 42 =7-1-2 4 4 yes S 0
## 5672 42 =7-1-4 2 2 yes S 0
## 5673 42 =7-1-6 0 0 yes S 0
## 5674 42 =7-2-4 1 1 yes S 0
## 5675 42 =7-2-5 0 0 yes S 0
## 5676 42 =7-4-3 0 0 yes S 0
## 5677 42 =8-1-2 5 5 yes S 0
## 5678 42 =8-1-3 4 4 yes S 0
## 5679 42 =8-1-5 2 2 yes S 0
## 5680 42 =8-1-7 0 0 yes S 0
## 5681 42 =8-2-5 1 1 yes S 0
## 5682 42 =8-3-5 0 0 yes S 0
## 5683 42 =8-4-1 3 3 yes S 0
## 5684 42 =8-4-3 1 1 yes S 0
## 5685 42 =8-6-2 0 0 yes S 0
## 5686 42 =9-1-2 6 6 yes S 0
## 5687 42 =9-1-8 0 0 yes S 0
## 5688 42 =9-2-3 4 4 yes S 0
## 5689 42 =9-2-4 3 3 yes S 0
## 5690 42 =9-2-6 1 1 yes S 0
## 5691 42 =9-3-1 5 5 yes S 0
## 5692 42 =9-4-3 2 2 yes S 0
## 5693 42 =9-5-1 3 3 yes S 0
## 5694 42 =9-5-3 1 1 yes S 0
## 5695 42 =9-5-4 0 0 yes S 0
## 5696 42 =9-6-1 2 2 yes S 0
## 5697 42 =9-6-3 0 0 yes S 0
## 5698 42 =9-7-2 0 0 yes S 0
## 5699 5 =1+2+5 8 9 no A -1
## 5700 5 =1+3+5 9 11 no A -2
## 5701 5 =1+4+3 8 12 no A -4
## 5702 5 =1+6+3 10 12 no A -2
## 5703 5 =1+9+2 12 11 no A 1
## 5704 5 =1+9+3 13 12 no A 1
## 5705 5 =2+1+9 12 11 no A 1
## 5706 5 =2+3+6 11 10 no A 1
## 5707 5 =2+3+7 12 11 no A 1
## 5708 5 =2+5+6 13 9 no A 4
## 5709 5 =2+7+1 10 12 no A -2
## 5710 5 =2+8+3 13 11 no A 2
## 5711 5 =3+1+5 9 12 no A -3
## 5712 5 =3+1+7 11 12 no A -1
## 5713 5 =3+2+5 10 14 no A -4
## 5714 5 =3+4+2 9 10 no A -1
## 5715 5 =3+5+4 12 10 no A 2
## 5716 5 =3+5+6 14 13 no A 1
## 5717 5 =3+6+2 11 12 no A -1
## 5718 5 =3+7+2 12 8 no A 4
## 5719 5 =4+1+7 12 9 no A 3
## 5720 5 =4+1+8 13 10 no A 3
## 5721 5 =4+3+2 9 10 no A -1
## 5722 5 =4+6+1 11 12 no A -1
## 5723 5 =4+6+2 12 13 no A -1
## 5724 5 =4+6+3 13 12 no A 1
## 5725 5 =5+1+3 9 14 no A -5
## 5726 5 =5+1+4 10 11 no A -1
## 5727 5 =5+1+6 12 8 no A 4
## 5728 5 =5+2+4 11 13 no A -2
## 5729 5 =5+4+1 10 12 no A -2
## 5730 5 =6+1+2 9 13 no A -4
## 5731 5 =6+4+1 11 13 no A -2
## 5732 5 =6+5+1 12 13 no A -1
## 5733 5 =7+1+3 11 9 no A 2
## 5734 5 =7+1+4 12 10 no A 2
## 5735 5 =7+1+5 13 9 no A 4
## 5736 5 =7+2+1 10 11 no A -1
## 5737 5 =8+2+1 11 9 no A 2
## 5738 5 =8+2+4 14 11 no A 3
## 5739 5 =1+2+9 12 12 yes A 0
## 5740 5 =1+3+6 10 10 yes A 0
## 5741 5 =1+5+3 9 9 yes A 0
## 5742 5 =1+6+2 9 9 yes A 0
## 5743 5 =1+7+2 10 10 yes A 0
## 5744 5 =2+3+5 10 10 yes A 0
## 5745 5 =2+4+5 11 11 yes A 0
## 5746 5 =2+6+4 12 12 yes A 0
## 5747 5 =2+7+5 14 14 yes A 0
## 5748 5 =2+8+1 11 11 yes A 0
## 5749 5 =3+1+4 8 8 yes A 0
## 5750 5 =3+2+4 9 9 yes A 0
## 5751 5 =3+2+6 11 11 yes A 0
## 5752 5 =3+7+1 11 11 yes A 0
## 5753 5 =4+1+5 10 10 yes A 0
## 5754 5 =4+1+6 11 11 yes A 0
## 5755 5 =4+2+3 9 9 yes A 0
## 5756 5 =4+2+6 12 12 yes A 0
## 5757 5 =4+2+7 13 13 yes A 0
## 5758 5 =4+5+1 10 10 yes A 0
## 5759 5 =4+5+2 11 11 yes A 0
## 5760 5 =4+7+1 12 12 yes A 0
## 5761 5 =5+1+2 8 8 yes A 0
## 5762 5 =5+3+1 9 9 yes A 0
## 5763 5 =5+3+2 10 10 yes A 0
## 5764 5 =5+3+4 12 12 yes A 0
## 5765 5 =6+1+5 12 12 yes A 0
## 5766 5 =6+2+1 9 9 yes A 0
## 5767 5 =6+2+3 11 11 yes A 0
## 5768 5 =6+4+2 12 12 yes A 0
## 5769 5 =6+4+3 13 13 yes A 0
## 5770 5 =6+5+2 13 13 yes A 0
## 5771 5 =7+2+3 12 12 yes A 0
## 5772 5 =7+3+1 11 11 yes A 0
## 5773 5 =7+3+2 12 12 yes A 0
## 5774 5 =7+3+4 14 14 yes A 0
## 5775 5 =8+2+3 13 13 yes A 0
## 5776 5 =9+1+2 12 12 yes A 0
## 5777 5 =9+1+3 13 13 yes A 0
## 5778 5 =9+3+1 13 13 yes A 0
## 5779 5 =3-1-2 0 4 no S -4
## 5780 5 =4-3-1 0 2 no S -2
## 5781 5 =5-1-4 0 3 no S -3
## 5782 5 =5-3-2 0 1 no S -1
## 5783 5 =6-1-2 3 0 no S 3
## 5784 5 =6-1-3 2 0 no S 2
## 5785 5 =6-3-2 1 4 no S -3
## 5786 5 =6-4-2 0 1 no S -1
## 5787 5 =6-5-1 0 3 no S -3
## 5788 5 =7-1-2 4 0 no S 4
## 5789 5 =7-1-4 2 0 no S 2
## 5790 5 =7-1-6 0 3 no S -3
## 5791 5 =7-2-4 1 0 no S 1
## 5792 5 =7-2-5 0 1 no S -1
## 5793 5 =7-4-3 0 1 no S -1
## 5794 5 =8-1-2 5 0 no S 5
## 5795 5 =8-1-3 4 0 no S 4
## 5796 5 =8-1-5 2 0 no S 2
## 5797 5 =8-1-7 0 5 no S -5
## 5798 5 =8-2-5 1 6 no S -5
## 5799 5 =8-3-5 0 2 no S -2
## 5800 5 =8-4-1 3 0 no S 3
## 5801 5 =8-4-3 1 0 no S 1
## 5802 5 =8-6-2 0 5 no S -5
## 5803 5 =9-1-2 6 3 no S 3
## 5804 5 =9-1-8 0 2 no S -2
## 5805 5 =9-2-3 4 0 no S 4
## 5806 5 =9-2-4 3 0 no S 3
## 5807 5 =9-2-6 1 0 no S 1
## 5808 5 =9-3-1 5 0 no S 5
## 5809 5 =9-4-3 2 1 no S 1
## 5810 5 =9-5-1 3 2 no S 1
## 5811 5 =9-5-3 1 0 no S 1
## 5812 5 =9-5-4 0 2 no S -2
## 5813 5 =9-6-1 2 0 no S 2
## 5814 5 =9-6-3 0 1 no S -1
## 5815 5 =9-7-2 0 4 no S -4
## 5816 5 =3-2-1 0 0 yes S 0
## 5817 5 =4-1-3 0 0 yes S 0
## 5818 5 =5-2-3 0 0 yes S 0
## 5819 5 =5-4-1 0 0 yes S 0
## 5820 5 =6-1-5 0 0 yes S 0
## 5821 5 =6-2-1 3 3 yes S 0
## 5822 5 =6-2-3 1 1 yes S 0
## 5823 5 =6-2-4 0 0 yes S 0
## 5824 5 =6-3-1 2 2 yes S 0
## 5825 5 =7-2-1 4 4 yes S 0
## 5826 5 =7-3-4 0 0 yes S 0
## 5827 5 =7-4-1 2 2 yes S 0
## 5828 5 =7-4-2 1 1 yes S 0
## 5829 5 =7-5-2 0 0 yes S 0
## 5830 5 =7-6-1 0 0 yes S 0
## 5831 5 =8-1-4 3 3 yes S 0
## 5832 5 =8-2-1 5 5 yes S 0
## 5833 5 =8-2-6 0 0 yes S 0
## 5834 5 =8-3-1 4 4 yes S 0
## 5835 5 =8-3-4 1 1 yes S 0
## 5836 5 =8-5-1 2 2 yes S 0
## 5837 5 =8-5-2 1 1 yes S 0
## 5838 5 =8-5-3 0 0 yes S 0
## 5839 5 =8-7-1 0 0 yes S 0
## 5840 5 =9-1-3 5 5 yes S 0
## 5841 5 =9-1-5 3 3 yes S 0
## 5842 5 =9-1-6 2 2 yes S 0
## 5843 5 =9-2-1 6 6 yes S 0
## 5844 5 =9-2-7 0 0 yes S 0
## 5845 5 =9-3-2 4 4 yes S 0
## 5846 5 =9-3-4 2 2 yes S 0
## 5847 5 =9-3-5 1 1 yes S 0
## 5848 5 =9-3-6 0 0 yes S 0
## 5849 5 =9-4-2 3 3 yes S 0
## 5850 5 =9-4-5 0 0 yes S 0
## 5851 5 =9-6-2 1 1 yes S 0
## 5852 5 =9-8-1 0 0 yes S 0
## 5853 6 =1+2+5 8 9 no A -1
## 5854 6 =1+3+5 9 11 no A -2
## 5855 6 =1+4+3 8 12 no A -4
## 5856 6 =1+6+3 10 12 no A -2
## 5857 6 =1+9+2 12 11 no A 1
## 5858 6 =1+9+3 13 12 no A 1
## 5859 6 =2+1+9 12 11 no A 1
## 5860 6 =2+3+6 11 10 no A 1
## 5861 6 =2+3+7 12 11 no A 1
## 5862 6 =2+5+6 13 9 no A 4
## 5863 6 =2+7+1 10 12 no A -2
## 5864 6 =2+8+3 13 11 no A 2
## 5865 6 =3+1+5 9 12 no A -3
## 5866 6 =3+1+7 11 12 no A -1
## 5867 6 =3+2+5 10 14 no A -4
## 5868 6 =3+4+2 9 10 no A -1
## 5869 6 =3+5+4 12 10 no A 2
## 5870 6 =3+5+6 14 13 no A 1
## 5871 6 =3+6+2 11 12 no A -1
## 5872 6 =3+7+2 12 8 no A 4
## 5873 6 =4+1+7 12 9 no A 3
## 5874 6 =4+1+8 13 10 no A 3
## 5875 6 =4+3+2 9 10 no A -1
## 5876 6 =4+6+1 11 12 no A -1
## 5877 6 =4+6+2 12 13 no A -1
## 5878 6 =4+6+3 13 12 no A 1
## 5879 6 =5+1+3 9 14 no A -5
## 5880 6 =5+1+4 10 11 no A -1
## 5881 6 =5+1+6 12 8 no A 4
## 5882 6 =5+2+4 11 13 no A -2
## 5883 6 =5+4+1 10 12 no A -2
## 5884 6 =6+1+2 9 13 no A -4
## 5885 6 =6+4+1 11 13 no A -2
## 5886 6 =6+5+1 12 13 no A -1
## 5887 6 =7+1+3 11 9 no A 2
## 5888 6 =7+1+4 12 10 no A 2
## 5889 6 =7+1+5 13 9 no A 4
## 5890 6 =7+2+1 10 11 no A -1
## 5891 6 =8+2+1 11 9 no A 2
## 5892 6 =8+2+4 14 11 no A 3
## 5893 6 =1+2+9 12 12 yes A 0
## 5894 6 =1+3+6 10 10 yes A 0
## 5895 6 =1+5+3 9 9 yes A 0
## 5896 6 =1+6+2 9 9 yes A 0
## 5897 6 =1+7+2 10 10 yes A 0
## 5898 6 =2+3+5 10 10 yes A 0
## 5899 6 =2+4+5 11 11 yes A 0
## 5900 6 =2+6+4 12 12 yes A 0
## 5901 6 =2+7+5 14 14 yes A 0
## 5902 6 =2+8+1 11 11 yes A 0
## 5903 6 =3+1+4 8 8 yes A 0
## 5904 6 =3+2+4 9 9 yes A 0
## 5905 6 =3+2+6 11 11 yes A 0
## 5906 6 =3+7+1 11 11 yes A 0
## 5907 6 =4+1+5 10 10 yes A 0
## 5908 6 =4+1+6 11 11 yes A 0
## 5909 6 =4+2+3 9 9 yes A 0
## 5910 6 =4+2+6 12 12 yes A 0
## 5911 6 =4+2+7 13 13 yes A 0
## 5912 6 =4+5+1 10 10 yes A 0
## 5913 6 =4+5+2 11 11 yes A 0
## 5914 6 =4+7+1 12 12 yes A 0
## 5915 6 =5+1+2 8 8 yes A 0
## 5916 6 =5+3+1 9 9 yes A 0
## 5917 6 =5+3+2 10 10 yes A 0
## 5918 6 =5+3+4 12 12 yes A 0
## 5919 6 =6+1+5 12 12 yes A 0
## 5920 6 =6+2+1 9 9 yes A 0
## 5921 6 =6+2+3 11 11 yes A 0
## 5922 6 =6+4+2 12 12 yes A 0
## 5923 6 =6+4+3 13 13 yes A 0
## 5924 6 =6+5+2 13 13 yes A 0
## 5925 6 =7+2+3 12 12 yes A 0
## 5926 6 =7+3+1 11 11 yes A 0
## 5927 6 =7+3+2 12 12 yes A 0
## 5928 6 =7+3+4 14 14 yes A 0
## 5929 6 =8+2+3 13 13 yes A 0
## 5930 6 =9+1+2 12 12 yes A 0
## 5931 6 =9+1+3 13 13 yes A 0
## 5932 6 =9+3+1 13 13 yes A 0
## 5933 6 =3-1-2 0 4 no S -4
## 5934 6 =4-3-1 0 2 no S -2
## 5935 6 =5-1-4 0 3 no S -3
## 5936 6 =5-3-2 0 1 no S -1
## 5937 6 =6-1-2 3 0 no S 3
## 5938 6 =6-1-3 2 0 no S 2
## 5939 6 =6-3-2 1 4 no S -3
## 5940 6 =6-4-2 0 1 no S -1
## 5941 6 =6-5-1 0 3 no S -3
## 5942 6 =7-1-2 4 0 no S 4
## 5943 6 =7-1-4 2 0 no S 2
## 5944 6 =7-1-6 0 3 no S -3
## 5945 6 =7-2-4 1 0 no S 1
## 5946 6 =7-2-5 0 1 no S -1
## 5947 6 =7-4-3 0 1 no S -1
## 5948 6 =8-1-2 5 0 no S 5
## 5949 6 =8-1-3 4 0 no S 4
## 5950 6 =8-1-5 2 0 no S 2
## 5951 6 =8-1-7 0 5 no S -5
## 5952 6 =8-2-5 1 6 no S -5
## 5953 6 =8-3-5 0 2 no S -2
## 5954 6 =8-4-1 3 0 no S 3
## 5955 6 =8-4-3 1 0 no S 1
## 5956 6 =8-6-2 0 5 no S -5
## 5957 6 =9-1-2 6 3 no S 3
## 5958 6 =9-1-8 0 2 no S -2
## 5959 6 =9-2-3 4 0 no S 4
## 5960 6 =9-2-4 3 0 no S 3
## 5961 6 =9-2-6 1 0 no S 1
## 5962 6 =9-3-1 5 0 no S 5
## 5963 6 =9-4-3 2 1 no S 1
## 5964 6 =9-5-1 3 2 no S 1
## 5965 6 =9-5-3 1 0 no S 1
## 5966 6 =9-5-4 0 2 no S -2
## 5967 6 =9-6-1 2 0 no S 2
## 5968 6 =9-6-3 0 1 no S -1
## 5969 6 =9-7-2 0 4 no S -4
## 5970 6 =3-2-1 0 0 yes S 0
## 5971 6 =4-1-3 0 0 yes S 0
## 5972 6 =5-2-3 0 0 yes S 0
## 5973 6 =5-4-1 0 0 yes S 0
## 5974 6 =6-1-5 0 0 yes S 0
## 5975 6 =6-2-1 3 3 yes S 0
## 5976 6 =6-2-3 1 1 yes S 0
## 5977 6 =6-2-4 0 0 yes S 0
## 5978 6 =6-3-1 2 2 yes S 0
## 5979 6 =7-2-1 4 4 yes S 0
## 5980 6 =7-3-4 0 0 yes S 0
## 5981 6 =7-4-1 2 2 yes S 0
## 5982 6 =7-4-2 1 1 yes S 0
## 5983 6 =7-5-2 0 0 yes S 0
## 5984 6 =7-6-1 0 0 yes S 0
## 5985 6 =8-1-4 3 3 yes S 0
## 5986 6 =8-2-1 5 5 yes S 0
## 5987 6 =8-2-6 0 0 yes S 0
## 5988 6 =8-3-1 4 4 yes S 0
## 5989 6 =8-3-4 1 1 yes S 0
## 5990 6 =8-5-1 2 2 yes S 0
## 5991 6 =8-5-2 1 1 yes S 0
## 5992 6 =8-5-3 0 0 yes S 0
## 5993 6 =8-7-1 0 0 yes S 0
## 5994 6 =9-1-3 5 5 yes S 0
## 5995 6 =9-1-5 3 3 yes S 0
## 5996 6 =9-1-6 2 2 yes S 0
## 5997 6 =9-2-1 6 6 yes S 0
## 5998 6 =9-2-7 0 0 yes S 0
## 5999 6 =9-3-2 4 4 yes S 0
## 6000 6 =9-3-4 2 2 yes S 0
## 6001 6 =9-3-5 1 1 yes S 0
## 6002 6 =9-3-6 0 0 yes S 0
## 6003 6 =9-4-2 3 3 yes S 0
## 6004 6 =9-4-5 0 0 yes S 0
## 6005 6 =9-6-2 1 1 yes S 0
## 6006 6 =9-8-1 0 0 yes S 0
## 6007 7 =1+2+5 8 9 no A -1
## 6008 7 =1+3+5 9 11 no A -2
## 6009 7 =1+4+3 8 12 no A -4
## 6010 7 =1+6+3 10 12 no A -2
## 6011 7 =1+9+2 12 11 no A 1
## 6012 7 =1+9+3 13 12 no A 1
## 6013 7 =2+1+9 12 11 no A 1
## 6014 7 =2+3+6 11 10 no A 1
## 6015 7 =2+3+7 12 11 no A 1
## 6016 7 =2+5+6 13 9 no A 4
## 6017 7 =2+7+1 10 12 no A -2
## 6018 7 =2+8+3 13 11 no A 2
## 6019 7 =3+1+5 9 12 no A -3
## 6020 7 =3+1+7 11 12 no A -1
## 6021 7 =3+2+5 10 14 no A -4
## 6022 7 =3+4+2 9 10 no A -1
## 6023 7 =3+5+4 12 10 no A 2
## 6024 7 =3+5+6 14 13 no A 1
## 6025 7 =3+6+2 11 12 no A -1
## 6026 7 =3+7+2 12 8 no A 4
## 6027 7 =4+1+7 12 9 no A 3
## 6028 7 =4+1+8 13 10 no A 3
## 6029 7 =4+3+2 9 10 no A -1
## 6030 7 =4+6+1 11 12 no A -1
## 6031 7 =4+6+2 12 13 no A -1
## 6032 7 =4+6+3 13 12 no A 1
## 6033 7 =5+1+3 9 14 no A -5
## 6034 7 =5+1+4 10 11 no A -1
## 6035 7 =5+1+6 12 8 no A 4
## 6036 7 =5+2+4 11 13 no A -2
## 6037 7 =5+4+1 10 12 no A -2
## 6038 7 =6+1+2 9 13 no A -4
## 6039 7 =6+4+1 11 13 no A -2
## 6040 7 =6+5+1 12 13 no A -1
## 6041 7 =7+1+3 11 9 no A 2
## 6042 7 =7+1+4 12 10 no A 2
## 6043 7 =7+1+5 13 9 no A 4
## 6044 7 =7+2+1 10 11 no A -1
## 6045 7 =8+2+1 11 9 no A 2
## 6046 7 =8+2+4 14 11 no A 3
## 6047 7 =1+2+9 12 12 yes A 0
## 6048 7 =1+3+6 10 10 yes A 0
## 6049 7 =1+5+3 9 9 yes A 0
## 6050 7 =1+6+2 9 9 yes A 0
## 6051 7 =1+7+2 10 10 yes A 0
## 6052 7 =2+3+5 10 10 yes A 0
## 6053 7 =2+4+5 11 11 yes A 0
## 6054 7 =2+6+4 12 12 yes A 0
## 6055 7 =2+7+5 14 14 yes A 0
## 6056 7 =2+8+1 11 11 yes A 0
## 6057 7 =3+1+4 8 8 yes A 0
## 6058 7 =3+2+4 9 9 yes A 0
## 6059 7 =3+2+6 11 11 yes A 0
## 6060 7 =3+7+1 11 11 yes A 0
## 6061 7 =4+1+5 10 10 yes A 0
## 6062 7 =4+1+6 11 11 yes A 0
## 6063 7 =4+2+3 9 9 yes A 0
## 6064 7 =4+2+6 12 12 yes A 0
## 6065 7 =4+2+7 13 13 yes A 0
## 6066 7 =4+5+1 10 10 yes A 0
## 6067 7 =4+5+2 11 11 yes A 0
## 6068 7 =4+7+1 12 12 yes A 0
## 6069 7 =5+1+2 8 8 yes A 0
## 6070 7 =5+3+1 9 9 yes A 0
## 6071 7 =5+3+2 10 10 yes A 0
## 6072 7 =5+3+4 12 12 yes A 0
## 6073 7 =6+1+5 12 12 yes A 0
## 6074 7 =6+2+1 9 9 yes A 0
## 6075 7 =6+2+3 11 11 yes A 0
## 6076 7 =6+4+2 12 12 yes A 0
## 6077 7 =6+4+3 13 13 yes A 0
## 6078 7 =6+5+2 13 13 yes A 0
## 6079 7 =7+2+3 12 12 yes A 0
## 6080 7 =7+3+1 11 11 yes A 0
## 6081 7 =7+3+2 12 12 yes A 0
## 6082 7 =7+3+4 14 14 yes A 0
## 6083 7 =8+2+3 13 13 yes A 0
## 6084 7 =9+1+2 12 12 yes A 0
## 6085 7 =9+1+3 13 13 yes A 0
## 6086 7 =9+3+1 13 13 yes A 0
## 6087 7 =3-1-2 0 4 no S -4
## 6088 7 =4-3-1 0 2 no S -2
## 6089 7 =5-1-4 0 3 no S -3
## 6090 7 =5-3-2 0 1 no S -1
## 6091 7 =6-1-2 3 0 no S 3
## 6092 7 =6-1-3 2 0 no S 2
## 6093 7 =6-3-2 1 4 no S -3
## 6094 7 =6-4-2 0 1 no S -1
## 6095 7 =6-5-1 0 3 no S -3
## 6096 7 =7-1-2 4 0 no S 4
## 6097 7 =7-1-4 2 0 no S 2
## 6098 7 =7-1-6 0 3 no S -3
## 6099 7 =7-2-4 1 0 no S 1
## 6100 7 =7-2-5 0 1 no S -1
## 6101 7 =7-4-3 0 1 no S -1
## 6102 7 =8-1-2 5 0 no S 5
## 6103 7 =8-1-3 4 0 no S 4
## 6104 7 =8-1-5 2 0 no S 2
## 6105 7 =8-1-7 0 5 no S -5
## 6106 7 =8-2-5 1 6 no S -5
## 6107 7 =8-3-5 0 2 no S -2
## 6108 7 =8-4-1 3 0 no S 3
## 6109 7 =8-4-3 1 0 no S 1
## 6110 7 =8-6-2 0 5 no S -5
## 6111 7 =9-1-2 6 3 no S 3
## 6112 7 =9-1-8 0 2 no S -2
## 6113 7 =9-2-3 4 0 no S 4
## 6114 7 =9-2-4 3 0 no S 3
## 6115 7 =9-2-6 1 0 no S 1
## 6116 7 =9-3-1 5 0 no S 5
## 6117 7 =9-4-3 2 1 no S 1
## 6118 7 =9-5-1 3 2 no S 1
## 6119 7 =9-5-3 1 0 no S 1
## 6120 7 =9-5-4 0 2 no S -2
## 6121 7 =9-6-1 2 0 no S 2
## 6122 7 =9-6-3 0 1 no S -1
## 6123 7 =9-7-2 0 4 no S -4
## 6124 7 =3-2-1 0 0 yes S 0
## 6125 7 =4-1-3 0 0 yes S 0
## 6126 7 =5-2-3 0 0 yes S 0
## 6127 7 =5-4-1 0 0 yes S 0
## 6128 7 =6-1-5 0 0 yes S 0
## 6129 7 =6-2-1 3 3 yes S 0
## 6130 7 =6-2-3 1 1 yes S 0
## 6131 7 =6-2-4 0 0 yes S 0
## 6132 7 =6-3-1 2 2 yes S 0
## 6133 7 =7-2-1 4 4 yes S 0
## 6134 7 =7-3-4 0 0 yes S 0
## 6135 7 =7-4-1 2 2 yes S 0
## 6136 7 =7-4-2 1 1 yes S 0
## 6137 7 =7-5-2 0 0 yes S 0
## 6138 7 =7-6-1 0 0 yes S 0
## 6139 7 =8-1-4 3 3 yes S 0
## 6140 7 =8-2-1 5 5 yes S 0
## 6141 7 =8-2-6 0 0 yes S 0
## 6142 7 =8-3-1 4 4 yes S 0
## 6143 7 =8-3-4 1 1 yes S 0
## 6144 7 =8-5-1 2 2 yes S 0
## 6145 7 =8-5-2 1 1 yes S 0
## 6146 7 =8-5-3 0 0 yes S 0
## 6147 7 =8-7-1 0 0 yes S 0
## 6148 7 =9-1-3 5 5 yes S 0
## 6149 7 =9-1-5 3 3 yes S 0
## 6150 7 =9-1-6 2 2 yes S 0
## 6151 7 =9-2-1 6 6 yes S 0
## 6152 7 =9-2-7 0 0 yes S 0
## 6153 7 =9-3-2 4 4 yes S 0
## 6154 7 =9-3-4 2 2 yes S 0
## 6155 7 =9-3-5 1 1 yes S 0
## 6156 7 =9-3-6 0 0 yes S 0
## 6157 7 =9-4-2 3 3 yes S 0
## 6158 7 =9-4-5 0 0 yes S 0
## 6159 7 =9-6-2 1 1 yes S 0
## 6160 7 =9-8-1 0 0 yes S 0
## 6161 8 =1+2+5 8 9 no A -1
## 6162 8 =1+3+5 9 11 no A -2
## 6163 8 =1+4+3 8 12 no A -4
## 6164 8 =1+6+3 10 12 no A -2
## 6165 8 =1+9+2 12 11 no A 1
## 6166 8 =1+9+3 13 12 no A 1
## 6167 8 =2+1+9 12 11 no A 1
## 6168 8 =2+3+6 11 10 no A 1
## 6169 8 =2+3+7 12 11 no A 1
## 6170 8 =2+5+6 13 9 no A 4
## 6171 8 =2+7+1 10 12 no A -2
## 6172 8 =2+8+3 13 11 no A 2
## 6173 8 =3+1+5 9 12 no A -3
## 6174 8 =3+1+7 11 12 no A -1
## 6175 8 =3+2+5 10 14 no A -4
## 6176 8 =3+4+2 9 10 no A -1
## 6177 8 =3+5+4 12 10 no A 2
## 6178 8 =3+5+6 14 13 no A 1
## 6179 8 =3+6+2 11 12 no A -1
## 6180 8 =3+7+2 12 8 no A 4
## 6181 8 =4+1+7 12 9 no A 3
## 6182 8 =4+1+8 13 10 no A 3
## 6183 8 =4+3+2 9 10 no A -1
## 6184 8 =4+6+1 11 12 no A -1
## 6185 8 =4+6+2 12 13 no A -1
## 6186 8 =4+6+3 13 12 no A 1
## 6187 8 =5+1+3 9 14 no A -5
## 6188 8 =5+1+4 10 11 no A -1
## 6189 8 =5+1+6 12 8 no A 4
## 6190 8 =5+2+4 11 13 no A -2
## 6191 8 =5+4+1 10 12 no A -2
## 6192 8 =6+1+2 9 13 no A -4
## 6193 8 =6+4+1 11 13 no A -2
## 6194 8 =6+5+1 12 13 no A -1
## 6195 8 =7+1+3 11 9 no A 2
## 6196 8 =7+1+4 12 10 no A 2
## 6197 8 =7+1+5 13 9 no A 4
## 6198 8 =7+2+1 10 11 no A -1
## 6199 8 =8+2+1 11 9 no A 2
## 6200 8 =8+2+4 14 11 no A 3
## 6201 8 =1+2+9 12 12 yes A 0
## 6202 8 =1+3+6 10 10 yes A 0
## 6203 8 =1+5+3 9 9 yes A 0
## 6204 8 =1+6+2 9 9 yes A 0
## 6205 8 =1+7+2 10 10 yes A 0
## 6206 8 =2+3+5 10 10 yes A 0
## 6207 8 =2+4+5 11 11 yes A 0
## 6208 8 =2+6+4 12 12 yes A 0
## 6209 8 =2+7+5 14 14 yes A 0
## 6210 8 =2+8+1 11 11 yes A 0
## 6211 8 =3+1+4 8 8 yes A 0
## 6212 8 =3+2+4 9 9 yes A 0
## 6213 8 =3+2+6 11 11 yes A 0
## 6214 8 =3+7+1 11 11 yes A 0
## 6215 8 =4+1+5 10 10 yes A 0
## 6216 8 =4+1+6 11 11 yes A 0
## 6217 8 =4+2+3 9 9 yes A 0
## 6218 8 =4+2+6 12 12 yes A 0
## 6219 8 =4+2+7 13 13 yes A 0
## 6220 8 =4+5+1 10 10 yes A 0
## 6221 8 =4+5+2 11 11 yes A 0
## 6222 8 =4+7+1 12 12 yes A 0
## 6223 8 =5+1+2 8 8 yes A 0
## 6224 8 =5+3+1 9 9 yes A 0
## 6225 8 =5+3+2 10 10 yes A 0
## 6226 8 =5+3+4 12 12 yes A 0
## 6227 8 =6+1+5 12 12 yes A 0
## 6228 8 =6+2+1 9 9 yes A 0
## 6229 8 =6+2+3 11 11 yes A 0
## 6230 8 =6+4+2 12 12 yes A 0
## 6231 8 =6+4+3 13 13 yes A 0
## 6232 8 =6+5+2 13 13 yes A 0
## 6233 8 =7+2+3 12 12 yes A 0
## 6234 8 =7+3+1 11 11 yes A 0
## 6235 8 =7+3+2 12 12 yes A 0
## 6236 8 =7+3+4 14 14 yes A 0
## 6237 8 =8+2+3 13 13 yes A 0
## 6238 8 =9+1+2 12 12 yes A 0
## 6239 8 =9+1+3 13 13 yes A 0
## 6240 8 =9+3+1 13 13 yes A 0
## 6241 8 =3-1-2 0 4 no S -4
## 6242 8 =4-3-1 0 2 no S -2
## 6243 8 =5-1-4 0 3 no S -3
## 6244 8 =5-3-2 0 1 no S -1
## 6245 8 =6-1-2 3 0 no S 3
## 6246 8 =6-1-3 2 0 no S 2
## 6247 8 =6-3-2 1 4 no S -3
## 6248 8 =6-4-2 0 1 no S -1
## 6249 8 =6-5-1 0 3 no S -3
## 6250 8 =7-1-2 4 0 no S 4
## 6251 8 =7-1-4 2 0 no S 2
## 6252 8 =7-1-6 0 3 no S -3
## 6253 8 =7-2-4 1 0 no S 1
## 6254 8 =7-2-5 0 1 no S -1
## 6255 8 =7-4-3 0 1 no S -1
## 6256 8 =8-1-2 5 0 no S 5
## 6257 8 =8-1-3 4 0 no S 4
## 6258 8 =8-1-5 2 0 no S 2
## 6259 8 =8-1-7 0 5 no S -5
## 6260 8 =8-2-5 1 6 no S -5
## 6261 8 =8-3-5 0 2 no S -2
## 6262 8 =8-4-1 3 0 no S 3
## 6263 8 =8-4-3 1 0 no S 1
## 6264 8 =8-6-2 0 5 no S -5
## 6265 8 =9-1-2 6 3 no S 3
## 6266 8 =9-1-8 0 2 no S -2
## 6267 8 =9-2-3 4 0 no S 4
## 6268 8 =9-2-4 3 0 no S 3
## 6269 8 =9-2-6 1 0 no S 1
## 6270 8 =9-3-1 5 0 no S 5
## 6271 8 =9-4-3 2 1 no S 1
## 6272 8 =9-5-1 3 2 no S 1
## 6273 8 =9-5-3 1 0 no S 1
## 6274 8 =9-5-4 0 2 no S -2
## 6275 8 =9-6-1 2 0 no S 2
## 6276 8 =9-6-3 0 1 no S -1
## 6277 8 =9-7-2 0 4 no S -4
## 6278 8 =3-2-1 0 0 yes S 0
## 6279 8 =4-1-3 0 0 yes S 0
## 6280 8 =5-2-3 0 0 yes S 0
## 6281 8 =5-4-1 0 0 yes S 0
## 6282 8 =6-1-5 0 0 yes S 0
## 6283 8 =6-2-1 3 3 yes S 0
## 6284 8 =6-2-3 1 1 yes S 0
## 6285 8 =6-2-4 0 0 yes S 0
## 6286 8 =6-3-1 2 2 yes S 0
## 6287 8 =7-2-1 4 4 yes S 0
## 6288 8 =7-3-4 0 0 yes S 0
## 6289 8 =7-4-1 2 2 yes S 0
## 6290 8 =7-4-2 1 1 yes S 0
## 6291 8 =7-5-2 0 0 yes S 0
## 6292 8 =7-6-1 0 0 yes S 0
## 6293 8 =8-1-4 3 3 yes S 0
## 6294 8 =8-2-1 5 5 yes S 0
## 6295 8 =8-2-6 0 0 yes S 0
## 6296 8 =8-3-1 4 4 yes S 0
## 6297 8 =8-3-4 1 1 yes S 0
## 6298 8 =8-5-1 2 2 yes S 0
## 6299 8 =8-5-2 1 1 yes S 0
## 6300 8 =8-5-3 0 0 yes S 0
## 6301 8 =8-7-1 0 0 yes S 0
## 6302 8 =9-1-3 5 5 yes S 0
## 6303 8 =9-1-5 3 3 yes S 0
## 6304 8 =9-1-6 2 2 yes S 0
## 6305 8 =9-2-1 6 6 yes S 0
## 6306 8 =9-2-7 0 0 yes S 0
## 6307 8 =9-3-2 4 4 yes S 0
## 6308 8 =9-3-4 2 2 yes S 0
## 6309 8 =9-3-5 1 1 yes S 0
## 6310 8 =9-3-6 0 0 yes S 0
## 6311 8 =9-4-2 3 3 yes S 0
## 6312 8 =9-4-5 0 0 yes S 0
## 6313 8 =9-6-2 1 1 yes S 0
## 6314 8 =9-8-1 0 0 yes S 0
## 6315 9 =1+2+5 8 9 no A -1
## 6316 9 =1+3+5 9 11 no A -2
## 6317 9 =1+4+3 8 12 no A -4
## 6318 9 =1+6+3 10 12 no A -2
## 6319 9 =1+9+2 12 11 no A 1
## 6320 9 =1+9+3 13 12 no A 1
## 6321 9 =2+1+9 12 11 no A 1
## 6322 9 =2+3+6 11 10 no A 1
## 6323 9 =2+3+7 12 11 no A 1
## 6324 9 =2+5+6 13 9 no A 4
## 6325 9 =2+7+1 10 12 no A -2
## 6326 9 =2+8+3 13 11 no A 2
## 6327 9 =3+1+5 9 12 no A -3
## 6328 9 =3+1+7 11 12 no A -1
## 6329 9 =3+2+5 10 14 no A -4
## 6330 9 =3+4+2 9 10 no A -1
## 6331 9 =3+5+4 12 10 no A 2
## 6332 9 =3+5+6 14 13 no A 1
## 6333 9 =3+6+2 11 12 no A -1
## 6334 9 =3+7+2 12 8 no A 4
## 6335 9 =4+1+7 12 9 no A 3
## 6336 9 =4+1+8 13 10 no A 3
## 6337 9 =4+3+2 9 10 no A -1
## 6338 9 =4+6+1 11 12 no A -1
## 6339 9 =4+6+2 12 13 no A -1
## 6340 9 =4+6+3 13 12 no A 1
## 6341 9 =5+1+3 9 14 no A -5
## 6342 9 =5+1+4 10 11 no A -1
## 6343 9 =5+1+6 12 8 no A 4
## 6344 9 =5+2+4 11 13 no A -2
## 6345 9 =5+4+1 10 12 no A -2
## 6346 9 =6+1+2 9 13 no A -4
## 6347 9 =6+4+1 11 13 no A -2
## 6348 9 =6+5+1 12 13 no A -1
## 6349 9 =7+1+3 11 9 no A 2
## 6350 9 =7+1+4 12 10 no A 2
## 6351 9 =7+1+5 13 9 no A 4
## 6352 9 =7+2+1 10 11 no A -1
## 6353 9 =8+2+1 11 9 no A 2
## 6354 9 =8+2+4 14 11 no A 3
## 6355 9 =1+2+9 12 12 yes A 0
## 6356 9 =1+3+6 10 10 yes A 0
## 6357 9 =1+5+3 9 9 yes A 0
## 6358 9 =1+6+2 9 9 yes A 0
## 6359 9 =1+7+2 10 10 yes A 0
## 6360 9 =2+3+5 10 10 yes A 0
## 6361 9 =2+4+5 11 11 yes A 0
## 6362 9 =2+6+4 12 12 yes A 0
## 6363 9 =2+7+5 14 14 yes A 0
## 6364 9 =2+8+1 11 11 yes A 0
## 6365 9 =3+1+4 8 8 yes A 0
## 6366 9 =3+2+4 9 9 yes A 0
## 6367 9 =3+2+6 11 11 yes A 0
## 6368 9 =3+7+1 11 11 yes A 0
## 6369 9 =4+1+5 10 10 yes A 0
## 6370 9 =4+1+6 11 11 yes A 0
## 6371 9 =4+2+3 9 9 yes A 0
## 6372 9 =4+2+6 12 12 yes A 0
## 6373 9 =4+2+7 13 13 yes A 0
## 6374 9 =4+5+1 10 10 yes A 0
## 6375 9 =4+5+2 11 11 yes A 0
## 6376 9 =4+7+1 12 12 yes A 0
## 6377 9 =5+1+2 8 8 yes A 0
## 6378 9 =5+3+1 9 9 yes A 0
## 6379 9 =5+3+2 10 10 yes A 0
## 6380 9 =5+3+4 12 12 yes A 0
## 6381 9 =6+1+5 12 12 yes A 0
## 6382 9 =6+2+1 9 9 yes A 0
## 6383 9 =6+2+3 11 11 yes A 0
## 6384 9 =6+4+2 12 12 yes A 0
## 6385 9 =6+4+3 13 13 yes A 0
## 6386 9 =6+5+2 13 13 yes A 0
## 6387 9 =7+2+3 12 12 yes A 0
## 6388 9 =7+3+1 11 11 yes A 0
## 6389 9 =7+3+2 12 12 yes A 0
## 6390 9 =7+3+4 14 14 yes A 0
## 6391 9 =8+2+3 13 13 yes A 0
## 6392 9 =9+1+2 12 12 yes A 0
## 6393 9 =9+1+3 13 13 yes A 0
## 6394 9 =9+3+1 13 13 yes A 0
## 6395 9 =3-1-2 0 4 no S -4
## 6396 9 =4-3-1 0 2 no S -2
## 6397 9 =5-1-4 0 3 no S -3
## 6398 9 =5-3-2 0 1 no S -1
## 6399 9 =6-1-2 3 0 no S 3
## 6400 9 =6-1-3 2 0 no S 2
## 6401 9 =6-3-2 1 4 no S -3
## 6402 9 =6-4-2 0 1 no S -1
## 6403 9 =6-5-1 0 3 no S -3
## 6404 9 =7-1-2 4 0 no S 4
## 6405 9 =7-1-4 2 0 no S 2
## 6406 9 =7-1-6 0 3 no S -3
## 6407 9 =7-2-4 1 0 no S 1
## 6408 9 =7-2-5 0 1 no S -1
## 6409 9 =7-4-3 0 1 no S -1
## 6410 9 =8-1-2 5 0 no S 5
## 6411 9 =8-1-3 4 0 no S 4
## 6412 9 =8-1-5 2 0 no S 2
## 6413 9 =8-1-7 0 5 no S -5
## 6414 9 =8-2-5 1 6 no S -5
## 6415 9 =8-3-5 0 2 no S -2
## 6416 9 =8-4-1 3 0 no S 3
## 6417 9 =8-4-3 1 0 no S 1
## 6418 9 =8-6-2 0 5 no S -5
## 6419 9 =9-1-2 6 3 no S 3
## 6420 9 =9-1-8 0 2 no S -2
## 6421 9 =9-2-3 4 0 no S 4
## 6422 9 =9-2-4 3 0 no S 3
## 6423 9 =9-2-6 1 0 no S 1
## 6424 9 =9-3-1 5 0 no S 5
## 6425 9 =9-4-3 2 1 no S 1
## 6426 9 =9-5-1 3 2 no S 1
## 6427 9 =9-5-3 1 0 no S 1
## 6428 9 =9-5-4 0 2 no S -2
## 6429 9 =9-6-1 2 0 no S 2
## 6430 9 =9-6-3 0 1 no S -1
## 6431 9 =9-7-2 0 4 no S -4
## 6432 9 =3-2-1 0 0 yes S 0
## 6433 9 =4-1-3 0 0 yes S 0
## 6434 9 =5-2-3 0 0 yes S 0
## 6435 9 =5-4-1 0 0 yes S 0
## 6436 9 =6-1-5 0 0 yes S 0
## 6437 9 =6-2-1 3 3 yes S 0
## 6438 9 =6-2-3 1 1 yes S 0
## 6439 9 =6-2-4 0 0 yes S 0
## 6440 9 =6-3-1 2 2 yes S 0
## 6441 9 =7-2-1 4 4 yes S 0
## 6442 9 =7-3-4 0 0 yes S 0
## 6443 9 =7-4-1 2 2 yes S 0
## 6444 9 =7-4-2 1 1 yes S 0
## 6445 9 =7-5-2 0 0 yes S 0
## 6446 9 =7-6-1 0 0 yes S 0
## 6447 9 =8-1-4 3 3 yes S 0
## 6448 9 =8-2-1 5 5 yes S 0
## 6449 9 =8-2-6 0 0 yes S 0
## 6450 9 =8-3-1 4 4 yes S 0
## 6451 9 =8-3-4 1 1 yes S 0
## 6452 9 =8-5-1 2 2 yes S 0
## 6453 9 =8-5-2 1 1 yes S 0
## 6454 9 =8-5-3 0 0 yes S 0
## 6455 9 =8-7-1 0 0 yes S 0
## 6456 9 =9-1-3 5 5 yes S 0
## 6457 9 =9-1-5 3 3 yes S 0
## 6458 9 =9-1-6 2 2 yes S 0
## 6459 9 =9-2-1 6 6 yes S 0
## 6460 9 =9-2-7 0 0 yes S 0
## 6461 9 =9-3-2 4 4 yes S 0
## 6462 9 =9-3-4 2 2 yes S 0
## 6463 9 =9-3-5 1 1 yes S 0
## 6464 9 =9-3-6 0 0 yes S 0
## 6465 9 =9-4-2 3 3 yes S 0
## 6466 9 =9-4-5 0 0 yes S 0
## 6467 9 =9-6-2 1 1 yes S 0
## 6468 9 =9-8-1 0 0 yes S 0
## counterbalance rt presentation.time subjective.test objective.test
## 1 1 597 1700 0 0.5873016
## 2 1 699 1700 0 0.5873016
## 3 1 700 1700 0 0.5873016
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## 2003 1 664 2000 1 1.0000000
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## 6467 1 735 1700 0 0.4375000
## 6468 1 736 1700 0 0.4375000Clean up the factor structure (just to make life easier). No need to, but if you want, you can make this more tidyverse-ish.
# there is one of the variables that it is a number but it will tell R for the purpose of future data analysis, it should worry that there were two different presentations times, instead of treating like it number. It is doing the same for "operand"
d$presentation.time <- factor(d$presentation.time)
levels(d$operand) <- c("addition","subtraction")Data Analysis Preliminaries
Examine the basic properties of the dataset. First, show a histogram of reaction times
d$rt## [1] 597 699 700 628 768 595 664 803 767 700 596 841 664
## [14] 737 596 1048 628 664 737 1048 700 840 560 699 737 736
## [27] 840 873 736 976 804 700 804 735 700 523 975 737 803
## [40] 804 736 596 841 872 700 596 804 700 804 804 596 596
## [53] 804 908 560 804 768 700 596 872 803 804 840 NA 768
## [66] 976 735 976 803 628 NA 699 664 839 595 767 700 736
## [79] 769 700 664 768 840 804 561 736 664 803 628 560 628
## [92] 944 596 840 805 700 560 559 700 NA 804 628 767 736
## [105] 664 768 944 804 491 664 524 664 736 737 872 873 664
## [118] 737 561 523 664 664 769 596 524 768 596 523 736 839
## [131] 664 597 871 700 664 628 768 804 525 NA 663 700 664
## [144] 735 700 664 595 840 768 664 701 524 873 560 700 595
## [157] 628 1219 559 664 664 803 628 840 701 560 107 700 840
## [170] 595 1359 559 1117 735 628 804 1084 NA 1292 664 664 456
## [183] 700 737 595 NA 597 628 560 803 524 628 1152 596 NA
## [196] 628 872 736 NA 663 NA 559 664 596 456 768 597 523
## [209] 628 628 664 699 628 628 628 737 1708 664 700 455 871
## [222] 560 664 1220 872 523 1012 735 1012 664 699 872 1084 872
## [235] 560 664 628 524 628 596 700 736 628 596 456 664 628
## [248] 736 769 628 595 767 561 872 664 736 768 596 628 736
## [261] 595 595 736 767 768 628 456 663 NA 736 107 456 560
## [274] 559 665 628 628 560 596 737 628 597 699 176 523 NA
## [287] 561 560 663 524 663 628 736 492 1187 NA 559 699 628
## [300] 597 456 627 736 492 805 560 664 NA 700 735 735 700
## [313] 596 596 664 595 804 700 840 803 736 737 628 699 560
## [326] 701 737 700 628 596 597 767 701 664 1084 597 768 596
## [339] 664 805 700 596 595 628 492 596 523 769 628 840 559
## [352] 769 492 524 664 596 628 664 1013 523 560 561 456 664
## [365] 596 664 628 664 664 628 700 524 628 663 768 597 597
## [378] 628 701 628 769 803 628 664 664 596 804 664 735 735
## [391] 736 525 736 NA 628 628 664 NA NA 525 700 840 736
## [404] 524 629 493 664 699 664 NA 700 736 700 664 523 456
## [417] 701 736 596 664 700 768 456 597 597 596 523 456 596
## [430] 559 804 841 701 664 NA 560 628 595 596 456 700 872
## [443] 596 524 628 736 737 492 NA 736 664 769 735 596 629
## [456] 561 700 736 524 628 664 559 559 353 NA NA 664 NA
## [469] 663 664 735 664 872 NA 664 352 384 595 523 736 560
## [482] 420 663 596 804 872 352 315 492 NA 523 628 840 1048
## [495] 420 560 596 628 560 595 595 804 735 523 975 804 664
## [508] 559 NA 735 248 NA 559 560 596 597 664 699 596 664
## [521] 664 524 736 840 596 352 628 NA 700 420 628 491 492
## [534] 840 NA 628 628 596 804 628 975 597 735 737 736 560
## [547] 840 597 456 736 768 524 663 805 700 628 840 664 NA
## [560] 492 596 804 872 596 872 805 872 NA 664 524 628 700
## [573] 804 NA 663 908 560 737 561 560 561 595 665 804 524
## [586] 664 700 804 524 700 699 805 561 524 700 699 525 700
## [599] 560 907 804 NA 596 596 768 664 805 597 736 945 736
## [612] 944 524 524 663 560 595 NA 664 664 700 628 559 559
## [625] 664 420 700 559 736 664 736 596 700 664 664 628 525
## [638] 945 597 736 561 595 596 597 736 664 700 700 560 596
## [651] 628 NA 628 701 629 664 664 628 840 700 700 596 NA
## [664] 628 768 664 736 664 664 597 NA 596 NA 628 664 664
## [677] 628 664 736 596 596 665 595 629 768 701 596 736 700
## [690] 596 736 805 628 628 628 664 560 628 560 665 525 559
## [703] 628 492 560 700 561 628 561 663 664 664 595 628 628
## [716] 664 736 628 664 560 664 628 559 524 595 597 664 595
## [729] 596 735 596 628 524 628 628 596 628 559 NA 664 664
## [742] 524 560 597 701 597 596 628 628 561 628 596 701 525
## [755] 664 597 595 735 597 595 664 596 597 628 664 663 595
## [768] 595 700 559 560 737 628 560 736 735 737 627 NA 560
## [781] 627 663 560 664 560 NA 561 561 699 596 560 491 560
## [794] 524 596 628 524 735 560 628 664 595 524 560 596 NA
## [807] 628 560 491 596 595 524 559 492 523 525 559 699 596
## [820] 420 596 597 524 596 559 700 561 700 628 628 700 597
## [833] 664 597 524 664 736 560 597 560 596 664 628 700 664
## [846] 665 804 628 596 943 492 736 628 664 560 492 700 597
## [859] 628 628 595 596 456 628 595 596 NA 524 700 456 664
## [872] 595 628 736 524 524 492 455 492 523 663 523 596 561
## [885] 560 559 525 663 NA 596 805 523 524 628 561 596 595
## [898] 493 NA 628 493 664 595 629 700 664 664 700 767 560
## [911] 491 735 664 560 597 596 628 595 664 596 628 456 628
## [924] 560 629 768 664 737 768 597 872 NA 664 700 737 561
## [937] 664 872 700 768 628 664 840 872 768 736 700 735 561
## [950] 700 944 840 664 700 699 664 1116 596 700 595 627 840
## [963] 840 736 804 597 664 596 629 664 769 840 1012 872 872
## [976] NA 664 804 701 804 628 975 561 597 735 736 840 872
## [989] 768 701 737 628 840 977 664 804 768 664 700 559 736
## [1002] 840 664 1360 628 768 560 596 596 700 560 524 701 664
## [1015] 559 664 629 664 560 596 524 597 492 700 627 NA 523
## [1028] 596 559 736 524 1152 524 492 597 492 560 736 839 628
## [1041] 628 493 561 628 561 456 596 560 597 628 560 700 101
## [1054] 627 456 596 176 628 663 596 524 524 664 560 523 456
## [1067] 560 803 559 596 525 735 456 596 736 701 559 595 629
## [1080] 768 596 804 768 769 736 841 944 664 804 768 768 664
## [1093] 664 664 872 804 700 769 664 803 736 804 769 737 664
## [1106] 803 736 908 872 596 628 NA 909 664 596 NA 664 804
## [1119] 803 700 664 700 700 872 805 700 597 768 700 737 804
## [1132] 768 596 736 663 768 629 664 596 735 628 872 596 840
## [1145] 908 736 805 628 627 665 871 945 700 664 736 736 699
## [1158] 841 767 701 735 804 663 804 736 944 628 700 736 597
## [1171] 596 595 665 803 736 595 664 803 736 803 804 664 665
## [1184] 805 840 699 803 803 872 804 700 663 805 804 664 664
## [1197] 768 701 767 664 664 664 840 839 628 699 700 840 840
## [1210] 944 841 1048 804 737 768 560 736 699 628 803 736 769
## [1223] 908 735 840 736 769 664 700 767 596 840 523 596 524
## [1236] 525 596 560 595 456 560 559 664 908 524 559 492 523
## [1249] 456 628 596 597 628 524 492 629 560 628 560 736 596
## [1262] 456 561 524 525 525 628 456 524 596 523 NA 699 560
## [1275] 523 596 456 NA 596 664 596 628 525 596 NA 559 523
## [1288] 665 248 560 628 560 384 492 596 560 492 560 628 664
## [1301] 560 492 664 596 628 597 524 492 628 560 560 NA 561
## [1314] 596 596 700 456 492 560 664 628 664 560 628 560 700
## [1327] 597 492 596 595 665 663 560 560 523 804 561 628 560
## [1340] 456 NA 492 664 560 560 628 595 700 595 456 248 560
## [1353] 700 525 664 700 456 627 596 524 628 595 492 560 596
## [1366] 596 561 524 628 560 628 560 596 560 560 596 699 492
## [1379] 524 664 596 559 629 525 597 NA 524 596 560 492 597
## [1392] 628 596 524 456 560 627 492 560 492 595 420 385 664
## [1405] 628 596 492 491 524 664 840 561 596 664 420 525 560
## [1418] 561 700 560 596 457 525 456 493 492 595 456 524 456
## [1431] 596 525 627 596 525 596 456 597 596 597 420 492 524
## [1444] 456 560 456 664 628 560 628 492 596 524 559 595 524
## [1457] 628 524 524 595 597 628 596 596 560 493 595 597 597
## [1470] 735 524 492 560 456 523 420 523 560 523 664 701 492
## [1483] 560 384 595 597 664 NA 457 561 524 628 560 523 492
## [1496] 596 596 493 523 628 561 628 491 523 560 561 523 524
## [1509] 560 492 456 664 492 456 628 628 492 456 524 595 492
## [1522] 523 560 664 560 560 525 524 560 628 596 420 493 596
## [1535] 596 524 628 701 596 628 597 839 804 977 840 701 805
## [1548] 561 804 596 664 597 628 908 699 700 699 701 769 804
## [1561] 664 629 700 736 596 629 664 700 628 597 700 628 628
## [1574] 701 596 664 664 596 525 976 664 664 596 628 628 596
## [1587] 1116 628 700 629 665 596 664 559 596 NA 700 664 664
## [1600] 664 628 804 664 597 737 737 628 768 664 805 595 597
## [1613] 560 804 769 700 628 737 804 596 628 701 769 804 736
## [1626] 596 595 804 596 596 736 596 596 595 628 664 664 628
## [1639] 664 699 665 628 628 699 628 699 628 700 664 664 908
## [1652] 736 803 735 664 737 628 664 628 560 700 841 525 NA
## [1665] 1011 736 596 735 664 872 628 596 701 699 628 700 908
## [1678] 700 596 595 628 663 735 700 700 736 628 664 628 628
## [1691] 628 664 560 945 560 595 596 317 663 700 736 736 561
## [1704] 525 736 665 176 664 523 595 768 561 804 524 561 524
## [1717] 524 628 628 628 560 769 596 664 701 768 736 560 524
## [1730] 628 560 596 596 664 596 736 524 560 664 908 492 700
## [1743] 736 627 839 560 664 524 701 596 525 664 596 871 736
## [1756] 628 492 596 871 840 596 559 736 735 664 701 560 628
## [1769] 804 561 596 628 737 595 664 735 872 664 736 596 524
## [1782] 595 700 597 559 803 664 700 804 700 663 736 768 873
## [1795] 700 NA 628 768 248 699 628 872 628 559 628 735 492
## [1808] 804 908 596 627 664 628 628 628 628 NA 664 943 700
## [1821] 628 492 768 664 212 524 664 NA 596 664 664 664 628
## [1834] NA 664 840 628 767 803 560 736 804 595 736 804 736
## [1847] 699 908 664 525 595 664 597 700 664 492 664 559 596
## [1860] 664 525 664 560 456 559 664 628 597 664 804 456 596
## [1873] 665 597 596 664 559 628 699 595 596 700 524 524 628
## [1886] 492 664 NA 628 524 628 525 NA 596 597 628 597 628
## [1899] 628 595 628 664 560 597 664 769 595 524 492 664 597
## [1912] 596 491 628 700 561 805 700 596 597 597 628 664 140
## [1925] 597 596 664 664 559 700 596 628 524 420 560 560 629
## [1938] 524 524 524 596 663 1084 628 456 492 595 700 664 NA
## [1951] 492 492 701 701 456 NA 492 492 595 737 456 737 456
## [1964] 455 561 628 560 559 456 523 596 493 492 699 561 493
## [1977] 700 491 NA 492 628 628 NA 596 492 663 628 523 804
## [1990] 664 665 664 560 456 596 699 737 NA 559 456 595 492
## [2003] 664 664 596 596 627 664 525 525 736 524 664 804 595
## [2016] 597 628 664 596 560 735 700 596 596 524 596 596 664
## [2029] 524 907 840 628 663 628 768 629 524 524 597 736 700
## [2042] 736 664 596 628 525 664 560 767 628 664 735 768 595
## [2055] 767 525 596 628 699 701 628 596 700 737 596 595 NA
## [2068] 664 665 628 735 664 628 596 596 559 595 596 803 628
## [2081] 596 NA 628 664 525 492 525 560 736 524 560 493 NA
## [2094] NA 975 595 524 803 700 840 560 804 524 561 456 664
## [2107] 525 735 493 768 455 628 597 767 524 664 559 456 628
## [2120] 628 NA 492 700 561 525 492 524 492 596 560 628 664
## [2133] 524 840 523 491 383 977 492 597 560 664 596 456 629
## [2146] 596 559 523 456 700 525 664 524 456 523 595 700 559
## [2159] 803 628 665 701 701 628 735 737 699 841 908 840 767
## [2172] 699 NA 768 700 840 NA 976 700 840 701 NA 700 736
## [2185] 767 943 840 664 700 767 804 945 595 700 700 736 700
## [2198] 664 736 943 768 699 805 805 737 871 767 735 628 944
## [2211] 664 628 736 872 840 737 840 664 700 700 768 873 664
## [2224] 559 700 736 664 804 804 736 805 976 804 664 769 559
## [2237] 737 664 736 736 664 664 699 737 628 664 700 628 700
## [2250] 735 736 841 664 737 NA 664 700 NA 699 596 628 628
## [2263] 595 737 736 NA 596 561 841 700 NA 700 664 628 804
## [2276] 872 627 597 737 908 664 628 596 871 664 769 561 664
## [2289] NA 628 767 663 737 525 839 736 596 664 560 596 664
## [2302] 769 736 804 595 597 769 736 524 700 908 945 803 663
## [2315] 768 908 803 664 769 735 1048 737 700 700 873 NA 944
## [2328] 768 840 NA 945 664 665 664 872 840 841 872 700 700
## [2341] NA 596 701 871 804 315 736 803 1084 NA 804 700 NA
## [2354] 560 804 944 1431 907 628 872 736 700 664 804 628 736
## [2367] 872 737 664 700 872 736 700 767 524 737 804 596 975
## [2380] 664 NA 768 735 840 872 803 1536 596 908 700 908 699
## [2393] 872 804 1084 872 944 976 839 523 804 944 944 840 1116
## [2406] 872 943 977 737 840 1012 NA 839 804 908 1115 872 872
## [2419] 1047 736 735 NA 944 909 737 804 908 700 769 804 1012
## [2432] 664 908 737 664 665 700 841 737 NA NA 1189 804 1013
## [2445] 909 976 NA NA 737 803 768 1047 944 804 840 872 768
## [2458] 841 768 NA 804 872 908 700 737 840 595 596 664 664
## [2471] 596 699 840 839 524 805 908 596 664 840 664 628 664
## [2484] 735 872 NA NA 628 1012 700 700 628 840 700 664 664
## [2497] 909 804 525 700 628 NA 628 871 804 736 768 663 767
## [2510] 665 699 840 701 665 560 737 596 595 NA 597 735 840
## [2523] 805 664 769 NA 700 628 735 1048 701 664 735 664 NA
## [2536] 664 872 804 629 664 700 560 628 737 736 736 736 595
## [2549] 597 907 628 525 664 663 839 524 736 523 767 664 736
## [2562] 525 700 872 872 736 840 664 629 629 628 768 804 596
## [2575] 664 628 840 736 664 736 700 NA 664 700 737 737 663
## [2588] 805 596 804 735 768 596 735 840 804 597 700 803 628
## [2601] 872 628 805 909 597 804 701 909 628 737 737 804 628
## [2614] 768 736 627 872 560 596 839 873 628 872 628 664 664
## [2627] 736 737 804 804 872 736 840 768 803 664 700 628 804
## [2640] 663 699 664 804 700 737 628 596 840 840 628 701 840
## [2653] 628 872 628 872 840 664 627 628 664 872 803 628 701
## [2666] 944 804 736 736 664 767 628 1012 456 872 700 560 768
## [2679] 841 805 1012 628 700 700 664 664 735 944 944 736 872
## [2692] 664 736 908 664 664 664 700 909 700 700 628 664 804
## [2705] 839 769 735 736 664 768 628 804 768 736 700 664 596
## [2718] 769 736 665 804 700 627 700 735 596 805 840 872 664
## [2731] 596 737 560 872 559 561 805 701 664 561 700 736 977
## [2744] 700 701 628 628 767 700 735 700 596 736 628 628 700
## [2757] 628 803 840 804 872 664 560 561 628 769 596 664 805
## [2770] 737 735 628 735 664 872 596 804 700 665 700 736 561
## [2783] 735 804 560 700 769 NA 700 872 595 628 665 737 664
## [2796] 665 768 769 664 628 804 595 628 736 664 768 736 840
## [2809] 664 664 699 804 664 524 628 560 735 804 664 596 804
## [2822] 699 768 628 524 664 NA 561 596 596 737 804 840 664
## [2835] 700 491 664 700 664 628 700 664 872 664 NA 664 700
## [2848] 768 664 595 805 663 596 700 597 628 628 596 699 699
## [2861] 524 701 596 596 664 596 595 596 596 737 628 525 736
## [2874] 700 871 NA 596 525 628 735 628 664 560 627 628 700
## [2887] 595 629 628 597 737 559 628 628 664 628 699 491 737
## [2900] 628 664 700 664 525 561 524 664 735 699 596 628 664
## [2913] 628 596 NA 700 596 805 664 700 597 664 664 803 559
## [2926] 736 596 840 872 700 628 560 700 700 1153 NA NA 804
## [2939] 664 NA NA 700 977 840 NA 871 664 595 736 596 664
## [2952] 804 735 664 803 908 840 561 872 872 628 NA 664 768
## [2965] 840 1219 768 736 737 976 664 700 805 975 872 700 1431
## [2978] NA 735 907 1013 1152 872 699 NA 872 736 664 737 804
## [2991] 1432 840 1084 701 735 804 559 945 977 944 NA 700 664
## [3004] 664 976 596 840 840 908 768 596 595 804 1220 628 700
## [3017] NA 700 700 943 1116 NA 944 872 596 664 664 805 700
## [3030] 944 841 804 804 735 1011 840 977 736 908 768 1084 768
## [3043] 700 700 596 597 804 1188 872 872 NA 943 768 945 872
## [3056] 768 664 908 805 804 1084 839 NA 700 597 628 840 736
## [3069] 767 1188 1048 NA 840 840 664 1117 628 768 664 1013 628
## [3082] 595 736 560 804 628 524 560 596 628 628 560 596 524
## [3095] 628 840 664 735 664 804 560 664 628 559 664 629 737
## [3108] 736 596 664 737 804 595 700 803 664 597 596 735 NA
## [3121] 629 524 629 664 803 560 523 628 NA 596 737 596 628
## [3134] 736 559 560 664 596 628 700 595 664 663 736 628 840
## [3147] 559 596 700 628 596 524 525 736 735 596 628 596 664
## [3160] 699 699 596 628 769 700 908 595 559 493 559 736 664
## [3173] NA 804 700 525 628 840 596 664 872 664 628 699 768
## [3186] 561 596 700 664 664 NA 523 735 628 560 664 840 559
## [3199] 804 700 524 664 699 628 737 664 735 NA 735 735 561
## [3212] 596 628 768 736 804 NA 560 596 803 525 664 596 628
## [3225] 737 NA 805 736 NA 664 768 595 664 560 457 596 493
## [3238] 492 561 492 628 560 523 524 560 523 560 628 595 524
## [3251] 524 628 456 804 456 560 737 523 525 NA 420 628 628
## [3264] 559 524 456 629 597 492 595 456 840 560 NA 456 560
## [3277] 560 456 559 595 596 628 699 524 491 524 559 561 701
## [3290] 492 560 492 524 493 524 559 456 175 595 840 559 767
## [3303] 491 803 560 560 804 492 524 628 492 524 524 596 525
## [3316] 560 560 524 560 420 492 248 456 493 596 456 384 523
## [3329] 597 492 525 560 492 492 456 596 628 492 456 456 595
## [3342] 596 664 700 560 493 525 559 664 597 664 595 383 523
## [3355] 560 492 559 559 628 560 595 560 456 664 492 492 560
## [3368] 491 560 491 525 420 560 595 524 524 101 560 420 596
## [3381] 524 NA 559 664 456 491 492 525 872 805 700 839 804
## [3394] 664 769 768 768 872 NA 736 769 1048 1116 736 560 700
## [3407] 943 907 804 767 803 737 803 664 805 872 736 839 736
## [3420] 769 840 700 804 1048 804 735 804 768 907 1188 768 768
## [3433] 700 736 804 943 840 908 735 839 737 1084 804 945 1084
## [3446] 665 525 1188 769 803 804 909 1255 736 768 1048 1189 664
## [3459] 872 873 769 872 908 736 1256 907 944 768 804 803 735
## [3472] 804 840 805 736 1219 872 872 700 1084 NA 908 976 944
## [3485] 736 NA 700 944 976 768 804 944 700 1048 701 767 872
## [3498] 944 1012 908 737 1013 804 840 872 736 840 803 805 841
## [3511] 840 944 1012 943 804 663 804 944 701 664 NA 768 839
## [3524] 804 872 804 976 803 803 840 700 872 1047 804 700 976
## [3537] 907 805 805 908 908 909 736 456 737 804 596 700 736
## [3550] 872 664 628 664 628 736 596 701 597 419 596 628 596
## [3563] 664 595 664 803 627 664 664 664 872 628 664 736 701
## [3576] 840 492 561 595 737 664 768 908 628 596 736 736 560
## [3589] 736 596 628 700 663 596 664 700 701 596 737 560 664
## [3602] 736 492 383 561 736 804 596 596 664 700 736 628 597
## [3615] 803 628 596 804 628 628 736 596 664 664 700 664 628
## [3628] 596 768 628 559 524 871 596 560 559 736 524 597 559
## [3641] 665 627 628 805 664 NA 628 560 736 629 664 NA 596
## [3654] 524 735 664 524 596 628 664 736 560 628 628 700 628
## [3667] 701 561 597 560 595 664 699 700 524 596 735 559 561
## [3680] 700 524 664 596 596 767 628 767 492 664 805 737 700
## [3693] 595 700 908 628 839 597 736 524 560 769 664 595 664
## [3706] 596 597 701 561 628 596 804 596 663 628 596 561 560
## [3719] 560 628 664 767 944 596 596 596 628 628 596 663 595
## [3732] 596 628 664 664 664 524 559 596 664 665 628 664 523
## [3745] 907 629 700 596 596 524 560 523 560 736 628 628 597
## [3758] 596 596 595 768 700 560 595 840 629 628 523 628 596
## [3771] 523 664 736 628 559 700 595 559 628 NA 596 664 595
## [3784] 491 596 248 627 596 663 595 596 840 597 560 596 596
## [3797] 595 561 596 559 597 628 595 628 736 597 664 560 596
## [3810] 596 353 628 597 595 597 628 628 559 840 492 663 596
## [3823] 596 736 524 700 560 700 664 628 628 560 560 628 595
## [3836] 524 664 560 664 595 559 560 627 768 628 665 560 664
## [3849] 559 595 943 736 872 699 700 804 664 628 737 664 872
## [3862] 664 840 976 769 872 768 1012 596 803 804 699 1048 803
## [3875] 841 804 560 560 841 664 840 873 597 908 907 975 560
## [3888] 664 1085 700 628 627 664 737 841 804 736 213 700 768
## [3901] 628 629 736 700 737 595 1084 NA 768 595 736 663 1011
## [3914] 664 805 628 664 699 1084 736 596 803 701 872 628 803
## [3927] 700 700 872 769 804 NA 628 628 737 768 944 NA 627
## [3940] 664 456 560 1187 975 804 736 840 840 700 1152 NA 523
## [3953] 769 1189 1292 840 736 NA 803 628 456 596 736 NA 699
## [3966] 525 352 NA 524 524 492 384 700 804 1257 596 664 735
## [3979] 560 NA 596 560 492 596 804 664 840 628 628 664 523
## [3992] NA 699 700 736 737 736 908 523 700 628 804 664 NA
## [4005] 596 628 664 NA 559 628 664 524 559 596 596 1151 872
## [4018] 664 736 664 559 700 664 664 NA 595 560 595 945 664
## [4031] 841 768 525 700 559 872 664 872 596 596 560 737 628
## [4044] 384 628 628 248 597 700 628 664 736 664 664 NA 561
## [4057] 628 664 907 596 663 560 628 596 560 560 596 595 700
## [4070] 664 735 664 700 664 NA 701 596 561 560 664 525 597
## [4083] 943 735 664 559 NA 595 560 492 596 700 664 524 735
## [4096] 559 596 664 1189 700 455 595 560 560 NA 456 803 736
## [4109] 561 561 561 664 523 628 803 840 736 736 595 664 559
## [4122] 597 420 768 523 524 628 804 491 456 492 700 735 524
## [4135] 524 456 628 NA 664 595 700 700 560 736 456 767 492
## [4148] 525 840 735 492 664 700 700 597 628 559 492 700 664
## [4161] 768 664 701 976 664 595 664 664 597 700 700 629 735
## [4174] 736 735 560 627 NA 628 596 663 595 701 663 664 595
## [4187] 909 596 736 629 596 492 628 664 628 628 737 628 596
## [4200] 735 735 840 735 628 700 NA 735 664 628 628 628 628
## [4213] 664 561 700 627 700 NA 737 700 664 628 736 664 597
## [4226] 628 664 628 628 523 701 735 596 664 597 628 596 560
## [4239] 664 628 700 628 523 628 559 736 560 456 664 492 523
## [4252] 700 736 596 561 665 420 523 595 804 NA 628 735 523
## [4265] 559 596 737 561 523 NA 737 700 559 596 803 596 456
## [4278] 628 596 596 872 700 628 492 596 699 628 560 456 456
## [4291] 664 559 560 493 737 456 NA 664 492 NA NA 523 840
## [4304] 976 628 595 596 701 595 699 561 492 804 595 1084 628
## [4317] 595 559 596 595 700 700 596 736 663 628 664 664 804
## [4330] 629 628 596 595 597 664 628 701 524 628 595 768 560
## [4343] 700 524 628 699 736 561 597 700 700 664 628 628 735
## [4356] 560 840 664 700 524 803 628 560 737 596 561 596 524
## [4369] 559 597 664 NA 664 595 700 803 628 628 628 595 628
## [4382] 559 596 664 596 664 664 664 560 560 840 596 840 664
## [4395] 1116 700 804 805 701 700 840 736 840 908 840 664 872
## [4408] 768 840 872 769 736 595 840 944 768 700 700 NA 525
## [4421] 840 804 699 664 840 872 737 699 700 664 700 768 664
## [4434] 700 840 944 NA 767 805 804 664 907 665 596 840 839
## [4447] 803 736 872 804 700 627 NA 737 803 768 700 456 596
## [4460] 840 628 595 805 873 944 840 701 805 628 663 804 735
## [4473] 628 628 701 804 665 700 768 664 840 872 736 NA 525
## [4486] 804 736 664 767 595 840 803 627 736 872 700 768 664
## [4499] 664 699 664 700 664 909 804 768 596 804 628 628 736
## [4512] 768 596 559 839 736 700 597 NA 768 628 908 841 805
## [4525] 769 804 628 664 700 737 804 769 665 701 804 628 596
## [4538] 768 664 805 NA 736 701 735 736 840 700 560 628 561
## [4551] 560 628 663 664 628 559 596 628 596 492 701 664 628
## [4564] 736 700 560 596 628 664 735 628 596 525 561 701 840
## [4577] 805 524 628 767 492 491 493 559 559 523 665 559 736
## [4590] 561 492 700 628 596 596 561 560 627 628 524 456 664
## [4603] 523 561 525 737 664 768 596 524 628 872 628 664 491
## [4616] 872 523 596 560 560 492 700 596 456 561 596 456 NA
## [4629] 419 524 492 700 492 493 523 NA 524 561 524 523 560
## [4642] 421 493 491 524 525 456 420 559 627 628 596 523 524
## [4655] 596 628 493 627 524 524 523 525 560 524 595 559 805
## [4668] 524 525 525 596 523 525 596 524 492 524 524 628 560
## [4681] 524 595 561 596 524 492 560 596 701 596 560 493 596
## [4694] 596 767 559 456 492 561 456 561 492 628 456 456 420
## [4707] 492 597 561 628 595 385 384 524 595 560 456 628 385
## [4720] 524 456 628 561 421 525 420 492 456 456 735 456 352
## [4733] NA 385 596 492 664 456 456 385 456 596 559 596 352
## [4746] 492 524 525 456 559 352 420 628 456 561 383 597 420
## [4759] 492 596 316 523 456 492 456 456 561 559 493 492 316
## [4772] 596 420 384 737 595 664 492 628 664 560 560 560 664
## [4785] 628 628 628 492 628 664 NA 492 664 700 456 492 525
## [4798] 595 628 493 628 737 524 664 597 628 628 700 491 737
## [4811] 628 595 596 627 628 492 663 524 NA 596 737 628 767
## [4824] 561 560 595 523 596 456 NA 628 492 559 628 628 596
## [4837] 597 628 700 596 560 561 736 664 596 595 560 804 561
## [4850] 559 595 700 561 560 664 628 629 560 559 560 595 664
## [4863] 700 456 596 560 560 663 523 561 523 456 560 525 596
## [4876] 492 492 628 456 664 560 560 525 420 525 700 664 560
## [4889] 701 525 523 492 456 523 561 596 664 664 524 523 523
## [4902] 664 596 456 628 561 561 493 560 525 524 NA 492 492
## [4915] 524 596 525 595 664 492 597 492 597 420 384 595 NA
## [4928] 524 560 560 524 699 737 628 597 628 663 595 1048 628
## [4941] 663 664 769 595 736 628 628 977 628 596 597 NA 628
## [4954] 664 560 561 840 492 628 596 805 628 561 560 596 628
## [4967] 525 736 803 664 737 NA 664 561 664 561 735 804 664
## [4980] 737 595 560 804 NA 736 736 768 597 596 735 700 597
## [4993] 456 665 737 560 804 561 665 628 700 699 628 700 840
## [5006] 559 523 664 736 700 664 628 628 664 700 701 909 700
## [5019] 737 595 700 803 736 803 803 840 736 664 736 628 700
## [5032] 664 700 736 628 664 628 493 664 628 595 560 768 561
## [5045] 524 840 700 664 872 597 664 664 596 560 804 736 596
## [5058] 700 803 768 596 664 804 664 699 595 596 699 736 664
## [5071] 492 664 664 699 628 805 664 628 560 663 840 456 596
## [5084] 1084 943 596 700 456 975 NA 840 628 768 908 628 664
## [5097] 560 595 664 944 664 736 524 908 595 597 699 595 736
## [5110] 737 628 524 1049 664 628 735 2336 596 663 1011 629 628
## [5123] 803 596 596 NA NA 628 628 735 736 1012 908 737 628
## [5136] 596 560 664 700 NA 700 1084 NA 839 768 628 628 1049
## [5149] 664 596 628 700 700 700 664 976 769 560 840 909 663
## [5162] 908 663 628 735 872 597 561 700 628 628 561 628 628
## [5175] 627 455 805 NA 596 596 1708 664 664 664 628 596 628
## [5188] 664 524 559 560 700 803 767 596 457 628 699 596 596
## [5201] 700 736 628 596 628 664 561 840 664 805 492 735 700
## [5214] 663 767 664 596 628 628 628 736 597 597 596 NA NA
## [5227] 664 628 664 736 871 736 737 596 316 629 872 736 767
## [5240] 523 768 908 944 804 701 872 944 908 736 700 976 840
## [5253] 1012 664 803 737 736 735 1048 805 1085 664 803 840 943
## [5266] 873 909 664 768 804 840 840 737 804 976 908 736 NA
## [5279] 736 664 735 872 909 804 736 NA 945 804 NA 975 NA
## [5292] 944 700 804 872 NA 735 664 841 768 803 840 768 NA
## [5305] 840 700 664 736 840 976 908 803 1433 596 699 976 944
## [5318] 737 736 1084 945 908 1048 908 767 768 1188 664 804 NA
## [5331] 909 873 908 628 NA 841 839 872 976 872 872 804 737
## [5344] 841 700 804 944 736 700 700 629 908 NA NA 840 NA
## [5357] 841 804 840 1048 1115 664 945 872 736 768 NA 664 840
## [5370] 841 804 804 872 664 871 700 872 872 737 736 1084 768
## [5383] 805 1048 664 840 NA 840 805 736 492 559 524 805 524
## [5396] 700 492 559 525 560 492 596 596 561 664 523 420 420
## [5409] 492 524 491 492 628 492 560 NA 492 699 595 525 561
## [5422] 560 492 596 492 524 140 559 596 595 665 492 525 559
## [5435] 596 596 628 525 561 492 492 523 524 561 524 523 664
## [5448] 559 628 525 596 596 524 492 560 524 560 456 596 561
## [5461] 456 420 456 595 1116 664 456 457 456 492 560 492 456
## [5474] 420 420 664 492 491 561 NA 596 524 492 420 560 597
## [5487] 383 420 492 420 456 596 596 457 456 456 456 560 420
## [5500] 317 420 456 560 384 420 212 596 420 524 384 384 492
## [5513] 525 420 456 456 491 419 492 492 420 420 524 456 628
## [5526] 384 456 492 492 456 456 456 492 597 525 420 492 420
## [5539] 523 456 456 559 384 456 628 524 560 524 595 628 524
## [5552] 523 628 628 524 664 595 596 595 628 560 595 597 596
## [5565] 595 596 559 664 736 595 385 596 700 596 524 523 597
## [5578] 699 664 596 597 664 596 597 665 523 561 456 NA 664
## [5591] 664 524 559 595 628 597 664 596 492 628 560 560 596
## [5604] 629 736 596 420 944 700 NA 628 560 700 560 NA 628
## [5617] 805 560 560 840 737 664 596 595 628 491 596 560 735
## [5630] 665 559 840 841 524 804 737 700 559 735 700 560 840
## [5643] 523 700 736 700 736 560 665 804 595 628 841 840 524
## [5656] 595 664 628 559 628 664 561 596 491 456 628 628 909
## [5669] 597 664 595 736 595 872 701 628 596 664 767 664 735
## [5682] 595 804 767 492 664 628 872 804 1048 NA 664 596 699
## [5695] 805 700 699 700 664 525 736 628 629 736 628 628 525
## [5708] 523 768 628 597 NA 523 597 456 629 840 664 561 561
## [5721] 560 628 737 561 664 664 699 559 872 628 699 561 700
## [5734] 596 700 664 700 700 944 492 597 524 596 524 664 664
## [5747] 664 699 736 945 NA 628 524 700 664 NA 699 768 597
## [5760] 628 736 524 628 628 664 560 628 628 735 735 596 NA
## [5773] 701 560 628 699 492 700 596 597 699 664 525 664 524
## [5786] 699 700 561 456 559 597 664 664 525 559 595 664 700
## [5799] 664 561 456 491 700 664 456 420 803 628 840 700 597
## [5812] 663 664 736 628 NA 664 560 559 596 492 768 595 664
## [5825] 523 NA 805 628 315 456 664 627 NA 628 699 628 944
## [5838] 525 560 664 559 700 628 492 803 664 664 491 736 560
## [5851] 596 493 597 664 803 872 560 737 700 804 560 629 664
## [5864] 597 736 525 NA 628 664 700 NA 664 664 664 596 736
## [5877] 699 804 524 628 700 976 628 561 699 664 767 560 664
## [5890] 628 700 699 768 664 596 664 664 872 700 1048 908 628
## [5903] 664 804 213 664 492 595 908 1152 629 628 525 1048 559
## [5916] 628 524 596 872 597 596 700 701 840 699 596 456 493
## [5929] 628 767 803 664 561 943 559 976 664 524 945 664 628
## [5942] 664 628 768 596 736 768 628 595 596 908 628 560 596
## [5955] NA 560 803 700 664 840 663 699 596 737 769 559 525
## [5968] 736 628 736 560 840 804 559 664 736 664 628 561 976
## [5981] 840 735 596 664 664 664 664 664 628 804 840 NA 628
## [5994] 664 737 840 596 628 597 524 736 560 596 944 736 628
## [6007] 596 736 597 523 736 596 769 560 627 628 700 664 628
## [6020] 627 628 701 699 628 559 628 NA 736 628 628 768 736
## [6033] 701 803 700 596 664 595 597 735 597 628 561 699 523
## [6046] 735 736 628 595 664 664 560 664 664 561 700 524 629
## [6059] 805 664 699 840 628 561 768 560 628 628 628 664 596
## [6072] 664 664 523 768 596 628 628 595 737 595 769 561 699
## [6085] 628 664 597 737 700 736 595 628 628 492 596 628 596
## [6098] 492 491 700 804 597 628 628 628 NA 700 493 560 596
## [6111] 664 700 524 597 628 628 736 700 525 595 596 872 804
## [6124] 560 524 700 664 524 628 560 524 700 524 628 664 803
## [6137] 595 628 628 560 597 596 701 628 736 595 NA 596 597
## [6150] NA 737 769 561 628 768 597 561 629 768 420 700 804
## [6163] 840 664 628 700 699 908 595 524 769 804 597 736 664
## [6176] 524 736 NA 664 596 629 840 664 1012 628 700 664 768
## [6189] 700 NA 664 767 628 840 872 628 976 665 560 805 909
## [6202] NA 700 663 560 628 872 769 701 596 700 700 737 840
## [6215] 664 700 597 804 NA 561 840 804 736 665 664 664 665
## [6228] 736 737 628 872 596 768 664 840 804 767 737 628 769
## [6241] 664 736 664 872 628 628 628 737 700 559 628 664 908
## [6254] 872 664 596 NA 597 596 628 804 1012 736 736 628 840
## [6267] 664 628 1188 871 803 664 628 804 700 736 595 872 1084
## [6280] 596 872 840 699 803 736 700 597 628 736 628 700 1153
## [6293] 629 628 805 700 737 596 768 561 559 664 559 735 597
## [6306] 700 735 803 736 597 664 596 699 736 664 736 804 805
## [6319] 944 768 664 NA 840 596 664 664 737 737 839 NA 700
## [6332] 768 524 700 664 628 664 NA 597 840 804 701 736 664
## [6345] 804 700 737 628 735 804 628 735 628 804 664 700 699
## [6358] 737 597 700 NA 524 1011 736 908 595 663 737 767 840
## [6371] 664 840 736 628 841 840 908 628 596 560 664 627 840
## [6384] 840 736 628 NA 767 804 664 736 628 700 871 664 768
## [6397] 665 841 628 664 664 767 700 700 803 736 841 663 872
## [6410] 664 NA 596 700 804 804 767 736 596 664 701 595 803
## [6423] 664 664 840 804 664 700 NA 769 664 629 700 628 664
## [6436] 628 629 768 628 803 803 627 804 768 628 701 524 629
## [6449] 700 700 737 804 872 628 663 597 595 768 700 664 NA
## [6462] 700 735 840 596 629 735 736hist_rt <-ggplot(data = d, aes(d$rt)) +
geom_histogram(breaks=seq(1,1100, by=1),
col="black",
fill="gray",
alpha = .2) +
labs(tittle="Histogram for Reaction Time") +
labs(x="Reaction Time", y="Frequency") +
xlim(c(1,1100))
hist_rt## Warning: Removed 288 rows containing non-finite values (stat_bin).
hist_rtmod <-ggplot(data = d, aes(d$rt)) +
geom_histogram(breaks=seq(1,1100, by=.1),
col="black",
fill="gray",
alpha = .2) +
labs(tittle="Histogram for Reaction Time") +
labs(x="Reaction Time", y="Frequency") +
xlim(c(557.5,562.5))
hist_rtmod## Warning: Removed 5906 rows containing non-finite values (stat_bin).## Warning: Removed 10940 rows containing missing values (geom_bar).
Challenge question: what is the sample rate of the input device they are using to gather RTs?
sort(unique(d$rt))## [1] 101 107 140 175 176 212 213 248 315 316 317 352 353 383
## [15] 384 385 419 420 421 455 456 457 491 492 493 523 524 525
## [29] 559 560 561 595 596 597 627 628 629 663 664 665 699 700
## [43] 701 735 736 737 767 768 769 803 804 805 839 840 841 871
## [57] 872 873 907 908 909 943 944 945 975 976 977 1011 1012 1013
## [71] 1047 1048 1049 1084 1085 1115 1116 1117 1151 1152 1153 1187 1188 1189
## [85] 1219 1220 1255 1256 1257 1292 1359 1360 1431 1432 1433 1536 1708 2336The sample rate of the input device they are using to gather the response time is 1ms, Then, there is a span between the two mesurements of 1ms to the next one of 34 mili seconds from the last one.
Sklar et al. did two manipulation checks. Subjective - asking participants whether they saw the primes - and objective - asking them to report the parity of the primes (even or odd) to find out if they could actually read the primes when they tried. Examine both the unconscious and conscious manipulation checks. What do you see? Are they related to one another?
# the text above is above manipulation test. Look at what the subject said about one or the other. Vidual. Maybe
st <- d%>%
filter(subjective.test=="0")
histst <-ggplot(data = st, aes(st$objective.test))+
geom_histogram(breaks=seq(0,1, by=.02),
col="red",
fill="red",
alpha=.2) +
labs(tittle="Historgram: Participants say No") +
labs(x="Objective for participants who did not reported seeing the prime", y="Frequency") +
xlim(c(0,1))
st1 <- d%>%
filter(subjective.test=="1")
histst1 <-ggplot(data = st1, aes(st1$objective.test))+
geom_histogram(breaks=seq(0,1, by=.02),
col="blue",
fill="blue",
alpha=.2)+
labs(tittle="Historgram: Participants say YES")+
labs(x="Objective for participants who reported seeing the prime", y="Frequency")+
xlim(c(0,1))
histst
histst1
They are related because participants who reported seeing the prime where more likely or have a higher chance to report the parity of the prime correctly (objective).However, participants who reported not seeing the prime were below chance on the objective test.
In Experiments 6, 7, and 9, we used the binomial distribution to determine whether each participant performed better than chance on the objective block and excluded from analyses all those participants who did (21, 30, and 7 participants in Experiments 6, 7, and 9, respectively (NOTE TO SELF: This are how many are excluded per experiment)). Note that, although the number of excluded participants may seem high, they fall within the normal range of long-duration CFS priming, in which suc- cessful suppression is strongly affected by individual differences (38). We additionally excluded participants who reported any subjective awareness of the primes (four, five, and three participants in Experiments 6, 7, and 9, respectively).
OK, let’s turn back to the measure and implement Sklar et al.’s exclusion criterion. You need to have said you couldn’t see (subjective test) and also be not significantly above chance on the objective test (< .6 correct). Call your new data frame ds. NOTE TO SELF: This is what I need to do to exclude everybody on the previous paragraph.
ds <- d%>%
filter(subjective.test=="0" & objective.test<0.60)
length(unique(d$subid)) # number of participants without exclusions## [1] 42length(unique(ds$subid)) # number of participants with exclusions ## [1] 17ds## subid prime prime.result target congruent operand distance
## 1 1 =1+2+5 8 9 no A -1
## 2 1 =1+3+5 9 11 no A -2
## 3 1 =1+4+3 8 12 no A -4
## 4 1 =1+6+3 10 12 no A -2
## 5 1 =1+9+2 12 11 no A 1
## 6 1 =1+9+3 13 12 no A 1
## 7 1 =2+1+9 12 11 no A 1
## 8 1 =2+3+6 11 10 no A 1
## 9 1 =2+3+7 12 11 no A 1
## 10 1 =2+5+6 13 9 no A 4
## 11 1 =2+7+1 10 12 no A -2
## 12 1 =2+8+3 13 11 no A 2
## 13 1 =3+1+5 9 12 no A -3
## 14 1 =3+1+7 11 12 no A -1
## 15 1 =3+2+5 10 14 no A -4
## 16 1 =3+4+2 9 10 no A -1
## 17 1 =3+5+4 12 10 no A 2
## 18 1 =3+5+6 14 13 no A 1
## 19 1 =3+6+2 11 12 no A -1
## 20 1 =3+7+2 12 8 no A 4
## 21 1 =4+1+7 12 9 no A 3
## 22 1 =4+1+8 13 10 no A 3
## 23 1 =4+3+2 9 10 no A -1
## 24 1 =4+6+1 11 12 no A -1
## 25 1 =4+6+2 12 13 no A -1
## 26 1 =4+6+3 13 12 no A 1
## 27 1 =5+1+3 9 14 no A -5
## 28 1 =5+1+4 10 11 no A -1
## 29 1 =5+1+6 12 8 no A 4
## 30 1 =5+2+4 11 13 no A -2
## 31 1 =5+4+1 10 12 no A -2
## 32 1 =6+1+2 9 13 no A -4
## 33 1 =6+4+1 11 13 no A -2
## 34 1 =6+5+1 12 13 no A -1
## 35 1 =7+1+3 11 9 no A 2
## 36 1 =7+1+4 12 10 no A 2
## 37 1 =7+1+5 13 9 no A 4
## 38 1 =7+2+1 10 11 no A -1
## 39 1 =8+2+1 11 9 no A 2
## 40 1 =8+2+4 14 11 no A 3
## 41 1 =1+2+9 12 12 yes A 0
## 42 1 =1+3+6 10 10 yes A 0
## 43 1 =1+5+3 9 9 yes A 0
## 44 1 =1+6+2 9 9 yes A 0
## 45 1 =1+7+2 10 10 yes A 0
## 46 1 =2+3+5 10 10 yes A 0
## 47 1 =2+4+5 11 11 yes A 0
## 48 1 =2+6+4 12 12 yes A 0
## 49 1 =2+7+5 14 14 yes A 0
## 50 1 =2+8+1 11 11 yes A 0
## 51 1 =3+1+4 8 8 yes A 0
## 52 1 =3+2+4 9 9 yes A 0
## 53 1 =3+2+6 11 11 yes A 0
## 54 1 =3+7+1 11 11 yes A 0
## 55 1 =4+1+5 10 10 yes A 0
## 56 1 =4+1+6 11 11 yes A 0
## 57 1 =4+2+3 9 9 yes A 0
## 58 1 =4+2+6 12 12 yes A 0
## 59 1 =4+2+7 13 13 yes A 0
## 60 1 =4+5+1 10 10 yes A 0
## 61 1 =4+5+2 11 11 yes A 0
## 62 1 =4+7+1 12 12 yes A 0
## 63 1 =5+1+2 8 8 yes A 0
## 64 1 =5+3+1 9 9 yes A 0
## 65 1 =5+3+2 10 10 yes A 0
## 66 1 =5+3+4 12 12 yes A 0
## 67 1 =6+1+5 12 12 yes A 0
## 68 1 =6+2+1 9 9 yes A 0
## 69 1 =6+2+3 11 11 yes A 0
## 70 1 =6+4+2 12 12 yes A 0
## 71 1 =6+4+3 13 13 yes A 0
## 72 1 =6+5+2 13 13 yes A 0
## 73 1 =7+2+3 12 12 yes A 0
## 74 1 =7+3+1 11 11 yes A 0
## 75 1 =7+3+2 12 12 yes A 0
## 76 1 =7+3+4 14 14 yes A 0
## 77 1 =8+2+3 13 13 yes A 0
## 78 1 =9+1+2 12 12 yes A 0
## 79 1 =9+1+3 13 13 yes A 0
## 80 1 =9+3+1 13 13 yes A 0
## 81 1 =3-1-2 0 4 no S -4
## 82 1 =4-3-1 0 2 no S -2
## 83 1 =5-1-4 0 3 no S -3
## 84 1 =5-3-2 0 1 no S -1
## 85 1 =6-1-2 3 0 no S 3
## 86 1 =6-1-3 2 0 no S 2
## 87 1 =6-3-2 1 4 no S -3
## 88 1 =6-4-2 0 1 no S -1
## 89 1 =6-5-1 0 3 no S -3
## 90 1 =7-1-2 4 0 no S 4
## 91 1 =7-1-4 2 0 no S 2
## 92 1 =7-1-6 0 3 no S -3
## 93 1 =7-2-4 1 0 no S 1
## 94 1 =7-2-5 0 1 no S -1
## 95 1 =7-4-3 0 1 no S -1
## 96 1 =8-1-2 5 0 no S 5
## 97 1 =8-1-3 4 0 no S 4
## 98 1 =8-1-5 2 0 no S 2
## 99 1 =8-1-7 0 5 no S -5
## 100 1 =8-2-5 1 6 no S -5
## 101 1 =8-3-5 0 2 no S -2
## 102 1 =8-4-1 3 0 no S 3
## 103 1 =8-4-3 1 0 no S 1
## 104 1 =8-6-2 0 5 no S -5
## 105 1 =9-1-2 6 3 no S 3
## 106 1 =9-1-8 0 2 no S -2
## 107 1 =9-2-3 4 0 no S 4
## 108 1 =9-2-4 3 0 no S 3
## 109 1 =9-2-6 1 0 no S 1
## 110 1 =9-3-1 5 0 no S 5
## 111 1 =9-4-3 2 1 no S 1
## 112 1 =9-5-1 3 2 no S 1
## 113 1 =9-5-3 1 0 no S 1
## 114 1 =9-5-4 0 2 no S -2
## 115 1 =9-6-1 2 0 no S 2
## 116 1 =9-6-3 0 1 no S -1
## 117 1 =9-7-2 0 4 no S -4
## 118 1 =3-2-1 0 0 yes S 0
## 119 1 =4-1-3 0 0 yes S 0
## 120 1 =5-2-3 0 0 yes S 0
## 121 1 =5-4-1 0 0 yes S 0
## 122 1 =6-1-5 0 0 yes S 0
## 123 1 =6-2-1 3 3 yes S 0
## 124 1 =6-2-3 1 1 yes S 0
## 125 1 =6-2-4 0 0 yes S 0
## 126 1 =6-3-1 2 2 yes S 0
## 127 1 =7-2-1 4 4 yes S 0
## 128 1 =7-3-4 0 0 yes S 0
## 129 1 =7-4-1 2 2 yes S 0
## 130 1 =7-4-2 1 1 yes S 0
## 131 1 =7-5-2 0 0 yes S 0
## 132 1 =7-6-1 0 0 yes S 0
## 133 1 =8-1-4 3 3 yes S 0
## 134 1 =8-2-1 5 5 yes S 0
## 135 1 =8-2-6 0 0 yes S 0
## 136 1 =8-3-1 4 4 yes S 0
## 137 1 =8-3-4 1 1 yes S 0
## 138 1 =8-5-1 2 2 yes S 0
## 139 1 =8-5-2 1 1 yes S 0
## 140 1 =8-5-3 0 0 yes S 0
## 141 1 =8-7-1 0 0 yes S 0
## 142 1 =9-1-3 5 5 yes S 0
## 143 1 =9-1-5 3 3 yes S 0
## 144 1 =9-1-6 2 2 yes S 0
## 145 1 =9-2-1 6 6 yes S 0
## 146 1 =9-2-7 0 0 yes S 0
## 147 1 =9-3-2 4 4 yes S 0
## 148 1 =9-3-4 2 2 yes S 0
## 149 1 =9-3-5 1 1 yes S 0
## 150 1 =9-3-6 0 0 yes S 0
## 151 1 =9-4-2 3 3 yes S 0
## 152 1 =9-4-5 0 0 yes S 0
## 153 1 =9-6-2 1 1 yes S 0
## 154 1 =9-8-1 0 0 yes S 0
## 155 11 =1+2+5 8 9 no A -1
## 156 11 =1+3+5 9 11 no A -2
## 157 11 =1+4+3 8 12 no A -4
## 158 11 =1+6+3 10 12 no A -2
## 159 11 =1+9+2 12 11 no A 1
## 160 11 =1+9+3 13 12 no A 1
## 161 11 =2+1+9 12 11 no A 1
## 162 11 =2+3+6 11 10 no A 1
## 163 11 =2+3+7 12 11 no A 1
## 164 11 =2+5+6 13 9 no A 4
## 165 11 =2+7+1 10 12 no A -2
## 166 11 =2+8+3 13 11 no A 2
## 167 11 =3+1+5 9 12 no A -3
## 168 11 =3+1+7 11 12 no A -1
## 169 11 =3+2+5 10 14 no A -4
## 170 11 =3+4+2 9 10 no A -1
## 171 11 =3+5+4 12 10 no A 2
## 172 11 =3+5+6 14 13 no A 1
## 173 11 =3+6+2 11 12 no A -1
## 174 11 =3+7+2 12 8 no A 4
## 175 11 =4+1+7 12 9 no A 3
## 176 11 =4+1+8 13 10 no A 3
## 177 11 =4+3+2 9 10 no A -1
## 178 11 =4+6+1 11 12 no A -1
## 179 11 =4+6+2 12 13 no A -1
## 180 11 =4+6+3 13 12 no A 1
## 181 11 =5+1+3 9 14 no A -5
## 182 11 =5+1+4 10 11 no A -1
## 183 11 =5+1+6 12 8 no A 4
## 184 11 =5+2+4 11 13 no A -2
## 185 11 =5+4+1 10 12 no A -2
## 186 11 =6+1+2 9 13 no A -4
## 187 11 =6+4+1 11 13 no A -2
## 188 11 =6+5+1 12 13 no A -1
## 189 11 =7+1+3 11 9 no A 2
## 190 11 =7+1+4 12 10 no A 2
## 191 11 =7+1+5 13 9 no A 4
## 192 11 =7+2+1 10 11 no A -1
## 193 11 =8+2+1 11 9 no A 2
## 194 11 =8+2+4 14 11 no A 3
## 195 11 =1+2+9 12 12 yes A 0
## 196 11 =1+3+6 10 10 yes A 0
## 197 11 =1+5+3 9 9 yes A 0
## 198 11 =1+6+2 9 9 yes A 0
## 199 11 =1+7+2 10 10 yes A 0
## 200 11 =2+3+5 10 10 yes A 0
## 201 11 =2+4+5 11 11 yes A 0
## 202 11 =2+6+4 12 12 yes A 0
## 203 11 =2+7+5 14 14 yes A 0
## 204 11 =2+8+1 11 11 yes A 0
## 205 11 =3+1+4 8 8 yes A 0
## 206 11 =3+2+4 9 9 yes A 0
## 207 11 =3+2+6 11 11 yes A 0
## 208 11 =3+7+1 11 11 yes A 0
## 209 11 =4+1+5 10 10 yes A 0
## 210 11 =4+1+6 11 11 yes A 0
## 211 11 =4+2+3 9 9 yes A 0
## 212 11 =4+2+6 12 12 yes A 0
## 213 11 =4+2+7 13 13 yes A 0
## 214 11 =4+5+1 10 10 yes A 0
## 215 11 =4+5+2 11 11 yes A 0
## 216 11 =4+7+1 12 12 yes A 0
## 217 11 =5+1+2 8 8 yes A 0
## 218 11 =5+3+1 9 9 yes A 0
## 219 11 =5+3+2 10 10 yes A 0
## 220 11 =5+3+4 12 12 yes A 0
## 221 11 =6+1+5 12 12 yes A 0
## 222 11 =6+2+1 9 9 yes A 0
## 223 11 =6+2+3 11 11 yes A 0
## 224 11 =6+4+2 12 12 yes A 0
## 225 11 =6+4+3 13 13 yes A 0
## 226 11 =6+5+2 13 13 yes A 0
## 227 11 =7+2+3 12 12 yes A 0
## 228 11 =7+3+1 11 11 yes A 0
## 229 11 =7+3+2 12 12 yes A 0
## 230 11 =7+3+4 14 14 yes A 0
## 231 11 =8+2+3 13 13 yes A 0
## 232 11 =9+1+2 12 12 yes A 0
## 233 11 =9+1+3 13 13 yes A 0
## 234 11 =9+3+1 13 13 yes A 0
## 235 11 =3-1-2 0 4 no S -4
## 236 11 =4-3-1 0 2 no S -2
## 237 11 =5-1-4 0 3 no S -3
## 238 11 =5-3-2 0 1 no S -1
## 239 11 =6-1-2 3 0 no S 3
## 240 11 =6-1-3 2 0 no S 2
## 241 11 =6-3-2 1 4 no S -3
## 242 11 =6-4-2 0 1 no S -1
## 243 11 =6-5-1 0 3 no S -3
## 244 11 =7-1-2 4 0 no S 4
## 245 11 =7-1-4 2 0 no S 2
## 246 11 =7-1-6 0 3 no S -3
## 247 11 =7-2-4 1 0 no S 1
## 248 11 =7-2-5 0 1 no S -1
## 249 11 =7-4-3 0 1 no S -1
## 250 11 =8-1-2 5 0 no S 5
## 251 11 =8-1-3 4 0 no S 4
## 252 11 =8-1-5 2 0 no S 2
## 253 11 =8-1-7 0 5 no S -5
## 254 11 =8-2-5 1 6 no S -5
## 255 11 =8-3-5 0 2 no S -2
## 256 11 =8-4-1 3 0 no S 3
## 257 11 =8-4-3 1 0 no S 1
## 258 11 =8-6-2 0 5 no S -5
## 259 11 =9-1-2 6 3 no S 3
## 260 11 =9-1-8 0 2 no S -2
## 261 11 =9-2-3 4 0 no S 4
## 262 11 =9-2-4 3 0 no S 3
## 263 11 =9-2-6 1 0 no S 1
## 264 11 =9-3-1 5 0 no S 5
## 265 11 =9-4-3 2 1 no S 1
## 266 11 =9-5-1 3 2 no S 1
## 267 11 =9-5-3 1 0 no S 1
## 268 11 =9-5-4 0 2 no S -2
## 269 11 =9-6-1 2 0 no S 2
## 270 11 =9-6-3 0 1 no S -1
## 271 11 =9-7-2 0 4 no S -4
## 272 11 =3-2-1 0 0 yes S 0
## 273 11 =4-1-3 0 0 yes S 0
## 274 11 =5-2-3 0 0 yes S 0
## 275 11 =5-4-1 0 0 yes S 0
## 276 11 =6-1-5 0 0 yes S 0
## 277 11 =6-2-1 3 3 yes S 0
## 278 11 =6-2-3 1 1 yes S 0
## 279 11 =6-2-4 0 0 yes S 0
## 280 11 =6-3-1 2 2 yes S 0
## 281 11 =7-2-1 4 4 yes S 0
## 282 11 =7-3-4 0 0 yes S 0
## 283 11 =7-4-1 2 2 yes S 0
## 284 11 =7-4-2 1 1 yes S 0
## 285 11 =7-5-2 0 0 yes S 0
## 286 11 =7-6-1 0 0 yes S 0
## 287 11 =8-1-4 3 3 yes S 0
## 288 11 =8-2-1 5 5 yes S 0
## 289 11 =8-2-6 0 0 yes S 0
## 290 11 =8-3-1 4 4 yes S 0
## 291 11 =8-3-4 1 1 yes S 0
## 292 11 =8-5-1 2 2 yes S 0
## 293 11 =8-5-2 1 1 yes S 0
## 294 11 =8-5-3 0 0 yes S 0
## 295 11 =8-7-1 0 0 yes S 0
## 296 11 =9-1-3 5 5 yes S 0
## 297 11 =9-1-5 3 3 yes S 0
## 298 11 =9-1-6 2 2 yes S 0
## 299 11 =9-2-1 6 6 yes S 0
## 300 11 =9-2-7 0 0 yes S 0
## 301 11 =9-3-2 4 4 yes S 0
## 302 11 =9-3-4 2 2 yes S 0
## 303 11 =9-3-5 1 1 yes S 0
## 304 11 =9-3-6 0 0 yes S 0
## 305 11 =9-4-2 3 3 yes S 0
## 306 11 =9-4-5 0 0 yes S 0
## 307 11 =9-6-2 1 1 yes S 0
## 308 11 =9-8-1 0 0 yes S 0
## 309 16 =1+2+5 8 9 no A -1
## 310 16 =1+3+5 9 11 no A -2
## 311 16 =1+4+3 8 12 no A -4
## 312 16 =1+6+3 10 12 no A -2
## 313 16 =1+9+2 12 11 no A 1
## 314 16 =1+9+3 13 12 no A 1
## 315 16 =2+1+9 12 11 no A 1
## 316 16 =2+3+6 11 10 no A 1
## 317 16 =2+3+7 12 11 no A 1
## 318 16 =2+5+6 13 9 no A 4
## 319 16 =2+7+1 10 12 no A -2
## 320 16 =2+8+3 13 11 no A 2
## 321 16 =3+1+5 9 12 no A -3
## 322 16 =3+1+7 11 12 no A -1
## 323 16 =3+2+5 10 14 no A -4
## 324 16 =3+4+2 9 10 no A -1
## 325 16 =3+5+4 12 10 no A 2
## 326 16 =3+5+6 14 13 no A 1
## 327 16 =3+6+2 11 12 no A -1
## 328 16 =3+7+2 12 8 no A 4
## 329 16 =4+1+7 12 9 no A 3
## 330 16 =4+1+8 13 10 no A 3
## 331 16 =4+3+2 9 10 no A -1
## 332 16 =4+6+1 11 12 no A -1
## 333 16 =4+6+2 12 13 no A -1
## 334 16 =4+6+3 13 12 no A 1
## 335 16 =5+1+3 9 14 no A -5
## 336 16 =5+1+4 10 11 no A -1
## 337 16 =5+1+6 12 8 no A 4
## 338 16 =5+2+4 11 13 no A -2
## 339 16 =5+4+1 10 12 no A -2
## 340 16 =6+1+2 9 13 no A -4
## 341 16 =6+4+1 11 13 no A -2
## 342 16 =6+5+1 12 13 no A -1
## 343 16 =7+1+3 11 9 no A 2
## 344 16 =7+1+4 12 10 no A 2
## 345 16 =7+1+5 13 9 no A 4
## 346 16 =7+2+1 10 11 no A -1
## 347 16 =8+2+1 11 9 no A 2
## 348 16 =8+2+4 14 11 no A 3
## 349 16 =1+2+9 12 12 yes A 0
## 350 16 =1+3+6 10 10 yes A 0
## 351 16 =1+5+3 9 9 yes A 0
## 352 16 =1+6+2 9 9 yes A 0
## 353 16 =1+7+2 10 10 yes A 0
## 354 16 =2+3+5 10 10 yes A 0
## 355 16 =2+4+5 11 11 yes A 0
## 356 16 =2+6+4 12 12 yes A 0
## 357 16 =2+7+5 14 14 yes A 0
## 358 16 =2+8+1 11 11 yes A 0
## 359 16 =3+1+4 8 8 yes A 0
## 360 16 =3+2+4 9 9 yes A 0
## 361 16 =3+2+6 11 11 yes A 0
## 362 16 =3+7+1 11 11 yes A 0
## 363 16 =4+1+5 10 10 yes A 0
## 364 16 =4+1+6 11 11 yes A 0
## 365 16 =4+2+3 9 9 yes A 0
## 366 16 =4+2+6 12 12 yes A 0
## 367 16 =4+2+7 13 13 yes A 0
## 368 16 =4+5+1 10 10 yes A 0
## 369 16 =4+5+2 11 11 yes A 0
## 370 16 =4+7+1 12 12 yes A 0
## 371 16 =5+1+2 8 8 yes A 0
## 372 16 =5+3+1 9 9 yes A 0
## 373 16 =5+3+2 10 10 yes A 0
## 374 16 =5+3+4 12 12 yes A 0
## 375 16 =6+1+5 12 12 yes A 0
## 376 16 =6+2+1 9 9 yes A 0
## 377 16 =6+2+3 11 11 yes A 0
## 378 16 =6+4+2 12 12 yes A 0
## 379 16 =6+4+3 13 13 yes A 0
## 380 16 =6+5+2 13 13 yes A 0
## 381 16 =7+2+3 12 12 yes A 0
## 382 16 =7+3+1 11 11 yes A 0
## 383 16 =7+3+2 12 12 yes A 0
## 384 16 =7+3+4 14 14 yes A 0
## 385 16 =8+2+3 13 13 yes A 0
## 386 16 =9+1+2 12 12 yes A 0
## 387 16 =9+1+3 13 13 yes A 0
## 388 16 =9+3+1 13 13 yes A 0
## 389 16 =3-1-2 0 4 no S -4
## 390 16 =4-3-1 0 2 no S -2
## 391 16 =5-1-4 0 3 no S -3
## 392 16 =5-3-2 0 1 no S -1
## 393 16 =6-1-2 3 0 no S 3
## 394 16 =6-1-3 2 0 no S 2
## 395 16 =6-3-2 1 4 no S -3
## 396 16 =6-4-2 0 1 no S -1
## 397 16 =6-5-1 0 3 no S -3
## 398 16 =7-1-2 4 0 no S 4
## 399 16 =7-1-4 2 0 no S 2
## 400 16 =7-1-6 0 3 no S -3
## 401 16 =7-2-4 1 0 no S 1
## 402 16 =7-2-5 0 1 no S -1
## 403 16 =7-4-3 0 1 no S -1
## 404 16 =8-1-2 5 0 no S 5
## 405 16 =8-1-3 4 0 no S 4
## 406 16 =8-1-5 2 0 no S 2
## 407 16 =8-1-7 0 5 no S -5
## 408 16 =8-2-5 1 6 no S -5
## 409 16 =8-3-5 0 2 no S -2
## 410 16 =8-4-1 3 0 no S 3
## 411 16 =8-4-3 1 0 no S 1
## 412 16 =8-6-2 0 5 no S -5
## 413 16 =9-1-2 6 3 no S 3
## 414 16 =9-1-8 0 2 no S -2
## 415 16 =9-2-3 4 0 no S 4
## 416 16 =9-2-4 3 0 no S 3
## 417 16 =9-2-6 1 0 no S 1
## 418 16 =9-3-1 5 0 no S 5
## 419 16 =9-4-3 2 1 no S 1
## 420 16 =9-5-1 3 2 no S 1
## 421 16 =9-5-3 1 0 no S 1
## 422 16 =9-5-4 0 2 no S -2
## 423 16 =9-6-1 2 0 no S 2
## 424 16 =9-6-3 0 1 no S -1
## 425 16 =9-7-2 0 4 no S -4
## 426 16 =3-2-1 0 0 yes S 0
## 427 16 =4-1-3 0 0 yes S 0
## 428 16 =5-2-3 0 0 yes S 0
## 429 16 =5-4-1 0 0 yes S 0
## 430 16 =6-1-5 0 0 yes S 0
## 431 16 =6-2-1 3 3 yes S 0
## 432 16 =6-2-3 1 1 yes S 0
## 433 16 =6-2-4 0 0 yes S 0
## 434 16 =6-3-1 2 2 yes S 0
## 435 16 =7-2-1 4 4 yes S 0
## 436 16 =7-3-4 0 0 yes S 0
## 437 16 =7-4-1 2 2 yes S 0
## 438 16 =7-4-2 1 1 yes S 0
## 439 16 =7-5-2 0 0 yes S 0
## 440 16 =7-6-1 0 0 yes S 0
## 441 16 =8-1-4 3 3 yes S 0
## 442 16 =8-2-1 5 5 yes S 0
## 443 16 =8-2-6 0 0 yes S 0
## 444 16 =8-3-1 4 4 yes S 0
## 445 16 =8-3-4 1 1 yes S 0
## 446 16 =8-5-1 2 2 yes S 0
## 447 16 =8-5-2 1 1 yes S 0
## 448 16 =8-5-3 0 0 yes S 0
## 449 16 =8-7-1 0 0 yes S 0
## 450 16 =9-1-3 5 5 yes S 0
## 451 16 =9-1-5 3 3 yes S 0
## 452 16 =9-1-6 2 2 yes S 0
## 453 16 =9-2-1 6 6 yes S 0
## 454 16 =9-2-7 0 0 yes S 0
## 455 16 =9-3-2 4 4 yes S 0
## 456 16 =9-3-4 2 2 yes S 0
## 457 16 =9-3-5 1 1 yes S 0
## 458 16 =9-3-6 0 0 yes S 0
## 459 16 =9-4-2 3 3 yes S 0
## 460 16 =9-4-5 0 0 yes S 0
## 461 16 =9-6-2 1 1 yes S 0
## 462 16 =9-8-1 0 0 yes S 0
## 463 17 =1+2+5 8 9 no A -1
## 464 17 =1+3+5 9 11 no A -2
## 465 17 =1+4+3 8 12 no A -4
## 466 17 =1+6+3 10 12 no A -2
## 467 17 =1+9+2 12 11 no A 1
## 468 17 =1+9+3 13 12 no A 1
## 469 17 =2+1+9 12 11 no A 1
## 470 17 =2+3+6 11 10 no A 1
## 471 17 =2+3+7 12 11 no A 1
## 472 17 =2+5+6 13 9 no A 4
## 473 17 =2+7+1 10 12 no A -2
## 474 17 =2+8+3 13 11 no A 2
## 475 17 =3+1+5 9 12 no A -3
## 476 17 =3+1+7 11 12 no A -1
## 477 17 =3+2+5 10 14 no A -4
## 478 17 =3+4+2 9 10 no A -1
## 479 17 =3+5+4 12 10 no A 2
## 480 17 =3+5+6 14 13 no A 1
## 481 17 =3+6+2 11 12 no A -1
## 482 17 =3+7+2 12 8 no A 4
## 483 17 =4+1+7 12 9 no A 3
## 484 17 =4+1+8 13 10 no A 3
## 485 17 =4+3+2 9 10 no A -1
## 486 17 =4+6+1 11 12 no A -1
## 487 17 =4+6+2 12 13 no A -1
## 488 17 =4+6+3 13 12 no A 1
## 489 17 =5+1+3 9 14 no A -5
## 490 17 =5+1+4 10 11 no A -1
## 491 17 =5+1+6 12 8 no A 4
## 492 17 =5+2+4 11 13 no A -2
## 493 17 =5+4+1 10 12 no A -2
## 494 17 =6+1+2 9 13 no A -4
## 495 17 =6+4+1 11 13 no A -2
## 496 17 =6+5+1 12 13 no A -1
## 497 17 =7+1+3 11 9 no A 2
## 498 17 =7+1+4 12 10 no A 2
## 499 17 =7+1+5 13 9 no A 4
## 500 17 =7+2+1 10 11 no A -1
## 501 17 =8+2+1 11 9 no A 2
## 502 17 =8+2+4 14 11 no A 3
## 503 17 =1+2+9 12 12 yes A 0
## 504 17 =1+3+6 10 10 yes A 0
## 505 17 =1+5+3 9 9 yes A 0
## 506 17 =1+6+2 9 9 yes A 0
## 507 17 =1+7+2 10 10 yes A 0
## 508 17 =2+3+5 10 10 yes A 0
## 509 17 =2+4+5 11 11 yes A 0
## 510 17 =2+6+4 12 12 yes A 0
## 511 17 =2+7+5 14 14 yes A 0
## 512 17 =2+8+1 11 11 yes A 0
## 513 17 =3+1+4 8 8 yes A 0
## 514 17 =3+2+4 9 9 yes A 0
## 515 17 =3+2+6 11 11 yes A 0
## 516 17 =3+7+1 11 11 yes A 0
## 517 17 =4+1+5 10 10 yes A 0
## 518 17 =4+1+6 11 11 yes A 0
## 519 17 =4+2+3 9 9 yes A 0
## 520 17 =4+2+6 12 12 yes A 0
## 521 17 =4+2+7 13 13 yes A 0
## 522 17 =4+5+1 10 10 yes A 0
## 523 17 =4+5+2 11 11 yes A 0
## 524 17 =4+7+1 12 12 yes A 0
## 525 17 =5+1+2 8 8 yes A 0
## 526 17 =5+3+1 9 9 yes A 0
## 527 17 =5+3+2 10 10 yes A 0
## 528 17 =5+3+4 12 12 yes A 0
## 529 17 =6+1+5 12 12 yes A 0
## 530 17 =6+2+1 9 9 yes A 0
## 531 17 =6+2+3 11 11 yes A 0
## 532 17 =6+4+2 12 12 yes A 0
## 533 17 =6+4+3 13 13 yes A 0
## 534 17 =6+5+2 13 13 yes A 0
## 535 17 =7+2+3 12 12 yes A 0
## 536 17 =7+3+1 11 11 yes A 0
## 537 17 =7+3+2 12 12 yes A 0
## 538 17 =7+3+4 14 14 yes A 0
## 539 17 =8+2+3 13 13 yes A 0
## 540 17 =9+1+2 12 12 yes A 0
## 541 17 =9+1+3 13 13 yes A 0
## 542 17 =9+3+1 13 13 yes A 0
## 543 17 =3-1-2 0 4 no S -4
## 544 17 =4-3-1 0 2 no S -2
## 545 17 =5-1-4 0 3 no S -3
## 546 17 =5-3-2 0 1 no S -1
## 547 17 =6-1-2 3 0 no S 3
## 548 17 =6-1-3 2 0 no S 2
## 549 17 =6-3-2 1 4 no S -3
## 550 17 =6-4-2 0 1 no S -1
## 551 17 =6-5-1 0 3 no S -3
## 552 17 =7-1-2 4 0 no S 4
## 553 17 =7-1-4 2 0 no S 2
## 554 17 =7-1-6 0 3 no S -3
## 555 17 =7-2-4 1 0 no S 1
## 556 17 =7-2-5 0 1 no S -1
## 557 17 =7-4-3 0 1 no S -1
## 558 17 =8-1-2 5 0 no S 5
## 559 17 =8-1-3 4 0 no S 4
## 560 17 =8-1-5 2 0 no S 2
## 561 17 =8-1-7 0 5 no S -5
## 562 17 =8-2-5 1 6 no S -5
## 563 17 =8-3-5 0 2 no S -2
## 564 17 =8-4-1 3 0 no S 3
## 565 17 =8-4-3 1 0 no S 1
## 566 17 =8-6-2 0 5 no S -5
## 567 17 =9-1-2 6 3 no S 3
## 568 17 =9-1-8 0 2 no S -2
## 569 17 =9-2-3 4 0 no S 4
## 570 17 =9-2-4 3 0 no S 3
## 571 17 =9-2-6 1 0 no S 1
## 572 17 =9-3-1 5 0 no S 5
## 573 17 =9-4-3 2 1 no S 1
## 574 17 =9-5-1 3 2 no S 1
## 575 17 =9-5-3 1 0 no S 1
## 576 17 =9-5-4 0 2 no S -2
## 577 17 =9-6-1 2 0 no S 2
## 578 17 =9-6-3 0 1 no S -1
## 579 17 =9-7-2 0 4 no S -4
## 580 17 =3-2-1 0 0 yes S 0
## 581 17 =4-1-3 0 0 yes S 0
## 582 17 =5-2-3 0 0 yes S 0
## 583 17 =5-4-1 0 0 yes S 0
## 584 17 =6-1-5 0 0 yes S 0
## 585 17 =6-2-1 3 3 yes S 0
## 586 17 =6-2-3 1 1 yes S 0
## 587 17 =6-2-4 0 0 yes S 0
## 588 17 =6-3-1 2 2 yes S 0
## 589 17 =7-2-1 4 4 yes S 0
## 590 17 =7-3-4 0 0 yes S 0
## 591 17 =7-4-1 2 2 yes S 0
## 592 17 =7-4-2 1 1 yes S 0
## 593 17 =7-5-2 0 0 yes S 0
## 594 17 =7-6-1 0 0 yes S 0
## 595 17 =8-1-4 3 3 yes S 0
## 596 17 =8-2-1 5 5 yes S 0
## 597 17 =8-2-6 0 0 yes S 0
## 598 17 =8-3-1 4 4 yes S 0
## 599 17 =8-3-4 1 1 yes S 0
## 600 17 =8-5-1 2 2 yes S 0
## 601 17 =8-5-2 1 1 yes S 0
## 602 17 =8-5-3 0 0 yes S 0
## 603 17 =8-7-1 0 0 yes S 0
## 604 17 =9-1-3 5 5 yes S 0
## 605 17 =9-1-5 3 3 yes S 0
## 606 17 =9-1-6 2 2 yes S 0
## 607 17 =9-2-1 6 6 yes S 0
## 608 17 =9-2-7 0 0 yes S 0
## 609 17 =9-3-2 4 4 yes S 0
## 610 17 =9-3-4 2 2 yes S 0
## 611 17 =9-3-5 1 1 yes S 0
## 612 17 =9-3-6 0 0 yes S 0
## 613 17 =9-4-2 3 3 yes S 0
## 614 17 =9-4-5 0 0 yes S 0
## 615 17 =9-6-2 1 1 yes S 0
## 616 17 =9-8-1 0 0 yes S 0
## 617 20 =1+2+5 8 9 no A -1
## 618 20 =1+3+5 9 11 no A -2
## 619 20 =1+4+3 8 12 no A -4
## 620 20 =1+6+3 10 12 no A -2
## 621 20 =1+9+2 12 11 no A 1
## 622 20 =1+9+3 13 12 no A 1
## 623 20 =2+1+9 12 11 no A 1
## 624 20 =2+3+6 11 10 no A 1
## 625 20 =2+3+7 12 11 no A 1
## 626 20 =2+5+6 13 9 no A 4
## 627 20 =2+7+1 10 12 no A -2
## 628 20 =2+8+3 13 11 no A 2
## 629 20 =3+1+5 9 12 no A -3
## 630 20 =3+1+7 11 12 no A -1
## 631 20 =3+2+5 10 14 no A -4
## 632 20 =3+4+2 9 10 no A -1
## 633 20 =3+5+4 12 10 no A 2
## 634 20 =3+5+6 14 13 no A 1
## 635 20 =3+6+2 11 12 no A -1
## 636 20 =3+7+2 12 8 no A 4
## 637 20 =4+1+7 12 9 no A 3
## 638 20 =4+1+8 13 10 no A 3
## 639 20 =4+3+2 9 10 no A -1
## 640 20 =4+6+1 11 12 no A -1
## 641 20 =4+6+2 12 13 no A -1
## 642 20 =4+6+3 13 12 no A 1
## 643 20 =5+1+3 9 14 no A -5
## 644 20 =5+1+4 10 11 no A -1
## 645 20 =5+1+6 12 8 no A 4
## 646 20 =5+2+4 11 13 no A -2
## 647 20 =5+4+1 10 12 no A -2
## 648 20 =6+1+2 9 13 no A -4
## 649 20 =6+4+1 11 13 no A -2
## 650 20 =6+5+1 12 13 no A -1
## 651 20 =7+1+3 11 9 no A 2
## 652 20 =7+1+4 12 10 no A 2
## 653 20 =7+1+5 13 9 no A 4
## 654 20 =7+2+1 10 11 no A -1
## 655 20 =8+2+1 11 9 no A 2
## 656 20 =8+2+4 14 11 no A 3
## 657 20 =1+2+9 12 12 yes A 0
## 658 20 =1+3+6 10 10 yes A 0
## 659 20 =1+5+3 9 9 yes A 0
## 660 20 =1+6+2 9 9 yes A 0
## 661 20 =1+7+2 10 10 yes A 0
## 662 20 =2+3+5 10 10 yes A 0
## 663 20 =2+4+5 11 11 yes A 0
## 664 20 =2+6+4 12 12 yes A 0
## 665 20 =2+7+5 14 14 yes A 0
## 666 20 =2+8+1 11 11 yes A 0
## 667 20 =3+1+4 8 8 yes A 0
## 668 20 =3+2+4 9 9 yes A 0
## 669 20 =3+2+6 11 11 yes A 0
## 670 20 =3+7+1 11 11 yes A 0
## 671 20 =4+1+5 10 10 yes A 0
## 672 20 =4+1+6 11 11 yes A 0
## 673 20 =4+2+3 9 9 yes A 0
## 674 20 =4+2+6 12 12 yes A 0
## 675 20 =4+2+7 13 13 yes A 0
## 676 20 =4+5+1 10 10 yes A 0
## 677 20 =4+5+2 11 11 yes A 0
## 678 20 =4+7+1 12 12 yes A 0
## 679 20 =5+1+2 8 8 yes A 0
## 680 20 =5+3+1 9 9 yes A 0
## 681 20 =5+3+2 10 10 yes A 0
## 682 20 =5+3+4 12 12 yes A 0
## 683 20 =6+1+5 12 12 yes A 0
## 684 20 =6+2+1 9 9 yes A 0
## 685 20 =6+2+3 11 11 yes A 0
## 686 20 =6+4+2 12 12 yes A 0
## 687 20 =6+4+3 13 13 yes A 0
## 688 20 =6+5+2 13 13 yes A 0
## 689 20 =7+2+3 12 12 yes A 0
## 690 20 =7+3+1 11 11 yes A 0
## 691 20 =7+3+2 12 12 yes A 0
## 692 20 =7+3+4 14 14 yes A 0
## 693 20 =8+2+3 13 13 yes A 0
## 694 20 =9+1+2 12 12 yes A 0
## 695 20 =9+1+3 13 13 yes A 0
## 696 20 =9+3+1 13 13 yes A 0
## 697 20 =3-1-2 0 4 no S -4
## 698 20 =4-3-1 0 2 no S -2
## 699 20 =5-1-4 0 3 no S -3
## 700 20 =5-3-2 0 1 no S -1
## 701 20 =6-1-2 3 0 no S 3
## 702 20 =6-1-3 2 0 no S 2
## 703 20 =6-3-2 1 4 no S -3
## 704 20 =6-4-2 0 1 no S -1
## 705 20 =6-5-1 0 3 no S -3
## 706 20 =7-1-2 4 0 no S 4
## 707 20 =7-1-4 2 0 no S 2
## 708 20 =7-1-6 0 3 no S -3
## 709 20 =7-2-4 1 0 no S 1
## 710 20 =7-2-5 0 1 no S -1
## 711 20 =7-4-3 0 1 no S -1
## 712 20 =8-1-2 5 0 no S 5
## 713 20 =8-1-3 4 0 no S 4
## 714 20 =8-1-5 2 0 no S 2
## 715 20 =8-1-7 0 5 no S -5
## 716 20 =8-2-5 1 6 no S -5
## 717 20 =8-3-5 0 2 no S -2
## 718 20 =8-4-1 3 0 no S 3
## 719 20 =8-4-3 1 0 no S 1
## 720 20 =8-6-2 0 5 no S -5
## 721 20 =9-1-2 6 3 no S 3
## 722 20 =9-1-8 0 2 no S -2
## 723 20 =9-2-3 4 0 no S 4
## 724 20 =9-2-4 3 0 no S 3
## 725 20 =9-2-6 1 0 no S 1
## 726 20 =9-3-1 5 0 no S 5
## 727 20 =9-4-3 2 1 no S 1
## 728 20 =9-5-1 3 2 no S 1
## 729 20 =9-5-3 1 0 no S 1
## 730 20 =9-5-4 0 2 no S -2
## 731 20 =9-6-1 2 0 no S 2
## 732 20 =9-6-3 0 1 no S -1
## 733 20 =9-7-2 0 4 no S -4
## 734 20 =3-2-1 0 0 yes S 0
## 735 20 =4-1-3 0 0 yes S 0
## 736 20 =5-2-3 0 0 yes S 0
## 737 20 =5-4-1 0 0 yes S 0
## 738 20 =6-1-5 0 0 yes S 0
## 739 20 =6-2-1 3 3 yes S 0
## 740 20 =6-2-3 1 1 yes S 0
## 741 20 =6-2-4 0 0 yes S 0
## 742 20 =6-3-1 2 2 yes S 0
## 743 20 =7-2-1 4 4 yes S 0
## 744 20 =7-3-4 0 0 yes S 0
## 745 20 =7-4-1 2 2 yes S 0
## 746 20 =7-4-2 1 1 yes S 0
## 747 20 =7-5-2 0 0 yes S 0
## 748 20 =7-6-1 0 0 yes S 0
## 749 20 =8-1-4 3 3 yes S 0
## 750 20 =8-2-1 5 5 yes S 0
## 751 20 =8-2-6 0 0 yes S 0
## 752 20 =8-3-1 4 4 yes S 0
## 753 20 =8-3-4 1 1 yes S 0
## 754 20 =8-5-1 2 2 yes S 0
## 755 20 =8-5-2 1 1 yes S 0
## 756 20 =8-5-3 0 0 yes S 0
## 757 20 =8-7-1 0 0 yes S 0
## 758 20 =9-1-3 5 5 yes S 0
## 759 20 =9-1-5 3 3 yes S 0
## 760 20 =9-1-6 2 2 yes S 0
## 761 20 =9-2-1 6 6 yes S 0
## 762 20 =9-2-7 0 0 yes S 0
## 763 20 =9-3-2 4 4 yes S 0
## 764 20 =9-3-4 2 2 yes S 0
## 765 20 =9-3-5 1 1 yes S 0
## 766 20 =9-3-6 0 0 yes S 0
## 767 20 =9-4-2 3 3 yes S 0
## 768 20 =9-4-5 0 0 yes S 0
## 769 20 =9-6-2 1 1 yes S 0
## 770 20 =9-8-1 0 0 yes S 0
## 771 23 =1+2+9 12 8 no A 4
## 772 23 =1+3+6 10 14 no A -4
## 773 23 =1+5+3 9 12 no A -3
## 774 23 =1+6+2 9 10 no A -1
## 775 23 =1+7+2 10 11 no A -1
## 776 23 =2+3+5 10 12 no A -2
## 777 23 =2+4+5 11 10 no A 1
## 778 23 =2+6+4 12 9 no A 3
## 779 23 =2+7+5 14 13 no A 1
## 780 23 =2+8+1 11 13 no A -2
## 781 23 =3+1+4 8 9 no A -1
## 782 23 =3+2+4 9 11 no A -2
## 783 23 =3+2+6 11 13 no A -2
## 784 23 =3+7+1 11 9 no A 2
## 785 23 =4+1+5 10 12 no A -2
## 786 23 =4+1+6 11 12 no A -1
## 787 23 =4+2+3 9 12 no A -3
## 788 23 =4+2+6 12 10 no A 2
## 789 23 =4+2+7 13 9 no A 4
## 790 23 =4+5+1 10 11 no A -1
## 791 23 =4+5+2 11 9 no A 2
## 792 23 =4+7+1 12 10 no A 2
## 793 23 =5+1+2 8 13 no A -5
## 794 23 =5+3+1 9 10 no A -1
## 795 23 =5+3+2 10 12 no A -2
## 796 23 =5+3+4 12 11 no A 1
## 797 23 =6+1+5 12 13 no A -1
## 798 23 =6+2+1 9 14 no A -5
## 799 23 =6+2+3 11 12 no A -1
## 800 23 =6+4+2 12 11 no A 1
## 801 23 =6+4+3 13 12 no A 1
## 802 23 =6+5+2 13 10 no A 3
## 803 23 =7+2+3 12 13 no A -1
## 804 23 =7+3+1 11 12 no A -1
## 805 23 =7+3+2 12 8 no A 4
## 806 23 =7+3+4 14 11 no A 3
## 807 23 =8+2+3 13 9 no A 4
## 808 23 =9+1+2 12 11 no A 1
## 809 23 =9+1+3 13 12 no A 1
## 810 23 =9+3+1 13 11 no A 2
## 811 23 =1+2+5 8 8 yes A 0
## 812 23 =1+3+5 9 9 yes A 0
## 813 23 =1+4+3 8 8 yes A 0
## 814 23 =1+6+3 10 10 yes A 0
## 815 23 =1+9+2 12 12 yes A 0
## 816 23 =1+9+3 13 13 yes A 0
## 817 23 =2+1+9 12 12 yes A 0
## 818 23 =2+3+6 11 11 yes A 0
## 819 23 =2+3+7 12 12 yes A 0
## 820 23 =2+5+6 13 13 yes A 0
## 821 23 =2+7+1 10 10 yes A 0
## 822 23 =2+8+3 13 13 yes A 0
## 823 23 =3+1+5 9 9 yes A 0
## 824 23 =3+1+7 11 11 yes A 0
## 825 23 =3+2+5 10 10 yes A 0
## 826 23 =3+4+2 9 9 yes A 0
## 827 23 =3+5+4 12 12 yes A 0
## 828 23 =3+5+6 14 14 yes A 0
## 829 23 =3+6+2 11 11 yes A 0
## 830 23 =3+7+2 12 12 yes A 0
## 831 23 =4+1+7 12 12 yes A 0
## 832 23 =4+1+8 13 13 yes A 0
## 833 23 =4+3+2 9 9 yes A 0
## 834 23 =4+6+1 11 11 yes A 0
## 835 23 =4+6+2 12 12 yes A 0
## 836 23 =4+6+3 13 13 yes A 0
## 837 23 =5+1+3 9 9 yes A 0
## 838 23 =5+1+4 10 10 yes A 0
## 839 23 =5+1+6 12 12 yes A 0
## 840 23 =5+2+4 11 11 yes A 0
## 841 23 =5+4+1 10 10 yes A 0
## 842 23 =6+1+2 9 9 yes A 0
## 843 23 =6+4+1 11 11 yes A 0
## 844 23 =6+5+1 12 12 yes A 0
## 845 23 =7+1+3 11 11 yes A 0
## 846 23 =7+1+4 12 12 yes A 0
## 847 23 =7+1+5 13 13 yes A 0
## 848 23 =7+2+1 10 10 yes A 0
## 849 23 =8+2+1 11 11 yes A 0
## 850 23 =8+2+4 14 14 yes A 0
## 851 23 =3-2-1 0 2 no S -2
## 852 23 =4-1-3 0 5 no S -5
## 853 23 =5-2-3 0 1 no S -1
## 854 23 =5-4-1 0 3 no S -3
## 855 23 =6-1-5 0 4 no S -4
## 856 23 =6-2-1 3 0 no S 3
## 857 23 =6-2-3 1 0 no S 1
## 858 23 =6-2-4 0 1 no S -1
## 859 23 =6-3-1 2 0 no S 2
## 860 23 =7-2-1 4 0 no S 4
## 861 23 =7-3-4 0 2 no S -2
## 862 23 =7-4-1 2 0 no S 2
## 863 23 =7-4-2 1 0 no S 1
## 864 23 =7-5-2 0 1 no S -1
## 865 23 =7-6-1 0 2 no S -2
## 866 23 =8-1-4 3 2 no S 1
## 867 23 =8-2-1 5 0 no S 5
## 868 23 =8-2-6 0 1 no S -1
## 869 23 =8-3-1 4 0 no S 4
## 870 23 =8-3-4 1 0 no S 1
## 871 23 =8-5-1 2 0 no S 2
## 872 23 =8-5-2 1 6 no S -5
## 873 23 =8-5-3 0 1 no S -1
## 874 23 =8-7-1 0 4 no S -4
## 875 23 =9-1-3 5 0 no S 5
## 876 23 =9-1-5 3 0 no S 3
## 877 23 =9-1-6 2 4 no S -2
## 878 23 =9-2-1 6 3 no S 3
## 879 23 =9-2-7 0 1 no S -1
## 880 23 =9-3-2 4 0 no S 4
## 881 23 =9-3-4 2 0 no S 2
## 882 23 =9-3-5 1 0 no S 1
## 883 23 =9-3-6 0 2 no S -2
## 884 23 =9-4-2 3 0 no S 3
## 885 23 =9-4-5 0 3 no S -3
## 886 23 =9-6-2 1 5 no S -4
## 887 23 =9-8-1 0 3 no S -3
## 888 23 =3-1-2 0 0 yes S 0
## 889 23 =4-3-1 0 0 yes S 0
## 890 23 =5-1-4 0 0 yes S 0
## 891 23 =5-3-2 0 0 yes S 0
## 892 23 =6-1-2 3 3 yes S 0
## 893 23 =6-1-3 2 2 yes S 0
## 894 23 =6-3-2 1 1 yes S 0
## 895 23 =6-4-2 0 0 yes S 0
## 896 23 =6-5-1 0 0 yes S 0
## 897 23 =7-1-2 4 4 yes S 0
## 898 23 =7-1-4 2 2 yes S 0
## 899 23 =7-1-6 0 0 yes S 0
## 900 23 =7-2-4 1 1 yes S 0
## 901 23 =7-2-5 0 0 yes S 0
## 902 23 =7-4-3 0 0 yes S 0
## 903 23 =8-1-2 5 5 yes S 0
## 904 23 =8-1-3 4 4 yes S 0
## 905 23 =8-1-5 2 2 yes S 0
## 906 23 =8-1-7 0 0 yes S 0
## 907 23 =8-2-5 1 1 yes S 0
## 908 23 =8-3-5 0 0 yes S 0
## 909 23 =8-4-1 3 3 yes S 0
## 910 23 =8-4-3 1 1 yes S 0
## 911 23 =8-6-2 0 0 yes S 0
## 912 23 =9-1-2 6 6 yes S 0
## 913 23 =9-1-8 0 0 yes S 0
## 914 23 =9-2-3 4 4 yes S 0
## 915 23 =9-2-4 3 3 yes S 0
## 916 23 =9-2-6 1 1 yes S 0
## 917 23 =9-3-1 5 5 yes S 0
## 918 23 =9-4-3 2 2 yes S 0
## 919 23 =9-5-1 3 3 yes S 0
## 920 23 =9-5-3 1 1 yes S 0
## 921 23 =9-5-4 0 0 yes S 0
## 922 23 =9-6-1 2 2 yes S 0
## 923 23 =9-6-3 0 0 yes S 0
## 924 23 =9-7-2 0 0 yes S 0
## 925 25 =1+2+9 12 8 no A 4
## 926 25 =1+3+6 10 14 no A -4
## 927 25 =1+5+3 9 12 no A -3
## 928 25 =1+6+2 9 10 no A -1
## 929 25 =1+7+2 10 11 no A -1
## 930 25 =2+3+5 10 12 no A -2
## 931 25 =2+4+5 11 10 no A 1
## 932 25 =2+6+4 12 9 no A 3
## 933 25 =2+7+5 14 13 no A 1
## 934 25 =2+8+1 11 13 no A -2
## 935 25 =3+1+4 8 9 no A -1
## 936 25 =3+2+4 9 11 no A -2
## 937 25 =3+2+6 11 13 no A -2
## 938 25 =3+7+1 11 9 no A 2
## 939 25 =4+1+5 10 12 no A -2
## 940 25 =4+1+6 11 12 no A -1
## 941 25 =4+2+3 9 12 no A -3
## 942 25 =4+2+6 12 10 no A 2
## 943 25 =4+2+7 13 9 no A 4
## 944 25 =4+5+1 10 11 no A -1
## 945 25 =4+5+2 11 9 no A 2
## 946 25 =4+7+1 12 10 no A 2
## 947 25 =5+1+2 8 13 no A -5
## 948 25 =5+3+1 9 10 no A -1
## 949 25 =5+3+2 10 12 no A -2
## 950 25 =5+3+4 12 11 no A 1
## 951 25 =6+1+5 12 13 no A -1
## 952 25 =6+2+1 9 14 no A -5
## 953 25 =6+2+3 11 12 no A -1
## 954 25 =6+4+2 12 11 no A 1
## 955 25 =6+4+3 13 12 no A 1
## 956 25 =6+5+2 13 10 no A 3
## 957 25 =7+2+3 12 13 no A -1
## 958 25 =7+3+1 11 12 no A -1
## 959 25 =7+3+2 12 8 no A 4
## 960 25 =7+3+4 14 11 no A 3
## 961 25 =8+2+3 13 9 no A 4
## 962 25 =9+1+2 12 11 no A 1
## 963 25 =9+1+3 13 12 no A 1
## 964 25 =9+3+1 13 11 no A 2
## 965 25 =1+2+5 8 8 yes A 0
## 966 25 =1+3+5 9 9 yes A 0
## 967 25 =1+4+3 8 8 yes A 0
## 968 25 =1+6+3 10 10 yes A 0
## 969 25 =1+9+2 12 12 yes A 0
## 970 25 =1+9+3 13 13 yes A 0
## 971 25 =2+1+9 12 12 yes A 0
## 972 25 =2+3+6 11 11 yes A 0
## 973 25 =2+3+7 12 12 yes A 0
## 974 25 =2+5+6 13 13 yes A 0
## 975 25 =2+7+1 10 10 yes A 0
## 976 25 =2+8+3 13 13 yes A 0
## 977 25 =3+1+5 9 9 yes A 0
## 978 25 =3+1+7 11 11 yes A 0
## 979 25 =3+2+5 10 10 yes A 0
## 980 25 =3+4+2 9 9 yes A 0
## 981 25 =3+5+4 12 12 yes A 0
## 982 25 =3+5+6 14 14 yes A 0
## 983 25 =3+6+2 11 11 yes A 0
## 984 25 =3+7+2 12 12 yes A 0
## 985 25 =4+1+7 12 12 yes A 0
## 986 25 =4+1+8 13 13 yes A 0
## 987 25 =4+3+2 9 9 yes A 0
## 988 25 =4+6+1 11 11 yes A 0
## 989 25 =4+6+2 12 12 yes A 0
## 990 25 =4+6+3 13 13 yes A 0
## 991 25 =5+1+3 9 9 yes A 0
## 992 25 =5+1+4 10 10 yes A 0
## 993 25 =5+1+6 12 12 yes A 0
## 994 25 =5+2+4 11 11 yes A 0
## 995 25 =5+4+1 10 10 yes A 0
## 996 25 =6+1+2 9 9 yes A 0
## 997 25 =6+4+1 11 11 yes A 0
## 998 25 =6+5+1 12 12 yes A 0
## 999 25 =7+1+3 11 11 yes A 0
## 1000 25 =7+1+4 12 12 yes A 0
## 1001 25 =7+1+5 13 13 yes A 0
## 1002 25 =7+2+1 10 10 yes A 0
## 1003 25 =8+2+1 11 11 yes A 0
## 1004 25 =8+2+4 14 14 yes A 0
## 1005 25 =3-2-1 0 2 no S -2
## 1006 25 =4-1-3 0 5 no S -5
## 1007 25 =5-2-3 0 1 no S -1
## 1008 25 =5-4-1 0 3 no S -3
## 1009 25 =6-1-5 0 4 no S -4
## 1010 25 =6-2-1 3 0 no S 3
## 1011 25 =6-2-3 1 0 no S 1
## 1012 25 =6-2-4 0 1 no S -1
## 1013 25 =6-3-1 2 0 no S 2
## 1014 25 =7-2-1 4 0 no S 4
## 1015 25 =7-3-4 0 2 no S -2
## 1016 25 =7-4-1 2 0 no S 2
## 1017 25 =7-4-2 1 0 no S 1
## 1018 25 =7-5-2 0 1 no S -1
## 1019 25 =7-6-1 0 2 no S -2
## 1020 25 =8-1-4 3 2 no S 1
## 1021 25 =8-2-1 5 0 no S 5
## 1022 25 =8-2-6 0 1 no S -1
## 1023 25 =8-3-1 4 0 no S 4
## 1024 25 =8-3-4 1 0 no S 1
## 1025 25 =8-5-1 2 0 no S 2
## 1026 25 =8-5-2 1 6 no S -5
## 1027 25 =8-5-3 0 1 no S -1
## 1028 25 =8-7-1 0 4 no S -4
## 1029 25 =9-1-3 5 0 no S 5
## 1030 25 =9-1-5 3 0 no S 3
## 1031 25 =9-1-6 2 4 no S -2
## 1032 25 =9-2-1 6 3 no S 3
## 1033 25 =9-2-7 0 1 no S -1
## 1034 25 =9-3-2 4 0 no S 4
## 1035 25 =9-3-4 2 0 no S 2
## 1036 25 =9-3-5 1 0 no S 1
## 1037 25 =9-3-6 0 2 no S -2
## 1038 25 =9-4-2 3 0 no S 3
## 1039 25 =9-4-5 0 3 no S -3
## 1040 25 =9-6-2 1 5 no S -4
## 1041 25 =9-8-1 0 3 no S -3
## 1042 25 =3-1-2 0 0 yes S 0
## 1043 25 =4-3-1 0 0 yes S 0
## 1044 25 =5-1-4 0 0 yes S 0
## 1045 25 =5-3-2 0 0 yes S 0
## 1046 25 =6-1-2 3 3 yes S 0
## 1047 25 =6-1-3 2 2 yes S 0
## 1048 25 =6-3-2 1 1 yes S 0
## 1049 25 =6-4-2 0 0 yes S 0
## 1050 25 =6-5-1 0 0 yes S 0
## 1051 25 =7-1-2 4 4 yes S 0
## 1052 25 =7-1-4 2 2 yes S 0
## 1053 25 =7-1-6 0 0 yes S 0
## 1054 25 =7-2-4 1 1 yes S 0
## 1055 25 =7-2-5 0 0 yes S 0
## 1056 25 =7-4-3 0 0 yes S 0
## 1057 25 =8-1-2 5 5 yes S 0
## 1058 25 =8-1-3 4 4 yes S 0
## 1059 25 =8-1-5 2 2 yes S 0
## 1060 25 =8-1-7 0 0 yes S 0
## 1061 25 =8-2-5 1 1 yes S 0
## 1062 25 =8-3-5 0 0 yes S 0
## 1063 25 =8-4-1 3 3 yes S 0
## 1064 25 =8-4-3 1 1 yes S 0
## 1065 25 =8-6-2 0 0 yes S 0
## 1066 25 =9-1-2 6 6 yes S 0
## 1067 25 =9-1-8 0 0 yes S 0
## 1068 25 =9-2-3 4 4 yes S 0
## 1069 25 =9-2-4 3 3 yes S 0
## 1070 25 =9-2-6 1 1 yes S 0
## 1071 25 =9-3-1 5 5 yes S 0
## 1072 25 =9-4-3 2 2 yes S 0
## 1073 25 =9-5-1 3 3 yes S 0
## 1074 25 =9-5-3 1 1 yes S 0
## 1075 25 =9-5-4 0 0 yes S 0
## 1076 25 =9-6-1 2 2 yes S 0
## 1077 25 =9-6-3 0 0 yes S 0
## 1078 25 =9-7-2 0 0 yes S 0
## 1079 29 =1+2+9 12 8 no A 4
## 1080 29 =1+3+6 10 14 no A -4
## 1081 29 =1+5+3 9 12 no A -3
## 1082 29 =1+6+2 9 10 no A -1
## 1083 29 =1+7+2 10 11 no A -1
## 1084 29 =2+3+5 10 12 no A -2
## 1085 29 =2+4+5 11 10 no A 1
## 1086 29 =2+6+4 12 9 no A 3
## 1087 29 =2+7+5 14 13 no A 1
## 1088 29 =2+8+1 11 13 no A -2
## 1089 29 =3+1+4 8 9 no A -1
## 1090 29 =3+2+4 9 11 no A -2
## 1091 29 =3+2+6 11 13 no A -2
## 1092 29 =3+7+1 11 9 no A 2
## 1093 29 =4+1+5 10 12 no A -2
## 1094 29 =4+1+6 11 12 no A -1
## 1095 29 =4+2+3 9 12 no A -3
## 1096 29 =4+2+6 12 10 no A 2
## 1097 29 =4+2+7 13 9 no A 4
## 1098 29 =4+5+1 10 11 no A -1
## 1099 29 =4+5+2 11 9 no A 2
## 1100 29 =4+7+1 12 10 no A 2
## 1101 29 =5+1+2 8 13 no A -5
## 1102 29 =5+3+1 9 10 no A -1
## 1103 29 =5+3+2 10 12 no A -2
## 1104 29 =5+3+4 12 11 no A 1
## 1105 29 =6+1+5 12 13 no A -1
## 1106 29 =6+2+1 9 14 no A -5
## 1107 29 =6+2+3 11 12 no A -1
## 1108 29 =6+4+2 12 11 no A 1
## 1109 29 =6+4+3 13 12 no A 1
## 1110 29 =6+5+2 13 10 no A 3
## 1111 29 =7+2+3 12 13 no A -1
## 1112 29 =7+3+1 11 12 no A -1
## 1113 29 =7+3+2 12 8 no A 4
## 1114 29 =7+3+4 14 11 no A 3
## 1115 29 =8+2+3 13 9 no A 4
## 1116 29 =9+1+2 12 11 no A 1
## 1117 29 =9+1+3 13 12 no A 1
## 1118 29 =9+3+1 13 11 no A 2
## 1119 29 =1+2+5 8 8 yes A 0
## 1120 29 =1+3+5 9 9 yes A 0
## 1121 29 =1+4+3 8 8 yes A 0
## 1122 29 =1+6+3 10 10 yes A 0
## 1123 29 =1+9+2 12 12 yes A 0
## 1124 29 =1+9+3 13 13 yes A 0
## 1125 29 =2+1+9 12 12 yes A 0
## 1126 29 =2+3+6 11 11 yes A 0
## 1127 29 =2+3+7 12 12 yes A 0
## 1128 29 =2+5+6 13 13 yes A 0
## 1129 29 =2+7+1 10 10 yes A 0
## 1130 29 =2+8+3 13 13 yes A 0
## 1131 29 =3+1+5 9 9 yes A 0
## 1132 29 =3+1+7 11 11 yes A 0
## 1133 29 =3+2+5 10 10 yes A 0
## 1134 29 =3+4+2 9 9 yes A 0
## 1135 29 =3+5+4 12 12 yes A 0
## 1136 29 =3+5+6 14 14 yes A 0
## 1137 29 =3+6+2 11 11 yes A 0
## 1138 29 =3+7+2 12 12 yes A 0
## 1139 29 =4+1+7 12 12 yes A 0
## 1140 29 =4+1+8 13 13 yes A 0
## 1141 29 =4+3+2 9 9 yes A 0
## 1142 29 =4+6+1 11 11 yes A 0
## 1143 29 =4+6+2 12 12 yes A 0
## 1144 29 =4+6+3 13 13 yes A 0
## 1145 29 =5+1+3 9 9 yes A 0
## 1146 29 =5+1+4 10 10 yes A 0
## 1147 29 =5+1+6 12 12 yes A 0
## 1148 29 =5+2+4 11 11 yes A 0
## 1149 29 =5+4+1 10 10 yes A 0
## 1150 29 =6+1+2 9 9 yes A 0
## 1151 29 =6+4+1 11 11 yes A 0
## 1152 29 =6+5+1 12 12 yes A 0
## 1153 29 =7+1+3 11 11 yes A 0
## 1154 29 =7+1+4 12 12 yes A 0
## 1155 29 =7+1+5 13 13 yes A 0
## 1156 29 =7+2+1 10 10 yes A 0
## 1157 29 =8+2+1 11 11 yes A 0
## 1158 29 =8+2+4 14 14 yes A 0
## 1159 29 =3-2-1 0 2 no S -2
## 1160 29 =4-1-3 0 5 no S -5
## 1161 29 =5-2-3 0 1 no S -1
## 1162 29 =5-4-1 0 3 no S -3
## 1163 29 =6-1-5 0 4 no S -4
## 1164 29 =6-2-1 3 0 no S 3
## 1165 29 =6-2-3 1 0 no S 1
## 1166 29 =6-2-4 0 1 no S -1
## 1167 29 =6-3-1 2 0 no S 2
## 1168 29 =7-2-1 4 0 no S 4
## 1169 29 =7-3-4 0 2 no S -2
## 1170 29 =7-4-1 2 0 no S 2
## 1171 29 =7-4-2 1 0 no S 1
## 1172 29 =7-5-2 0 1 no S -1
## 1173 29 =7-6-1 0 2 no S -2
## 1174 29 =8-1-4 3 2 no S 1
## 1175 29 =8-2-1 5 0 no S 5
## 1176 29 =8-2-6 0 1 no S -1
## 1177 29 =8-3-1 4 0 no S 4
## 1178 29 =8-3-4 1 0 no S 1
## 1179 29 =8-5-1 2 0 no S 2
## 1180 29 =8-5-2 1 6 no S -5
## 1181 29 =8-5-3 0 1 no S -1
## 1182 29 =8-7-1 0 4 no S -4
## 1183 29 =9-1-3 5 0 no S 5
## 1184 29 =9-1-5 3 0 no S 3
## 1185 29 =9-1-6 2 4 no S -2
## 1186 29 =9-2-1 6 3 no S 3
## 1187 29 =9-2-7 0 1 no S -1
## 1188 29 =9-3-2 4 0 no S 4
## 1189 29 =9-3-4 2 0 no S 2
## 1190 29 =9-3-5 1 0 no S 1
## 1191 29 =9-3-6 0 2 no S -2
## 1192 29 =9-4-2 3 0 no S 3
## 1193 29 =9-4-5 0 3 no S -3
## 1194 29 =9-6-2 1 5 no S -4
## 1195 29 =9-8-1 0 3 no S -3
## 1196 29 =3-1-2 0 0 yes S 0
## 1197 29 =4-3-1 0 0 yes S 0
## 1198 29 =5-1-4 0 0 yes S 0
## 1199 29 =5-3-2 0 0 yes S 0
## 1200 29 =6-1-2 3 3 yes S 0
## 1201 29 =6-1-3 2 2 yes S 0
## 1202 29 =6-3-2 1 1 yes S 0
## 1203 29 =6-4-2 0 0 yes S 0
## 1204 29 =6-5-1 0 0 yes S 0
## 1205 29 =7-1-2 4 4 yes S 0
## 1206 29 =7-1-4 2 2 yes S 0
## 1207 29 =7-1-6 0 0 yes S 0
## 1208 29 =7-2-4 1 1 yes S 0
## 1209 29 =7-2-5 0 0 yes S 0
## 1210 29 =7-4-3 0 0 yes S 0
## 1211 29 =8-1-2 5 5 yes S 0
## 1212 29 =8-1-3 4 4 yes S 0
## 1213 29 =8-1-5 2 2 yes S 0
## 1214 29 =8-1-7 0 0 yes S 0
## 1215 29 =8-2-5 1 1 yes S 0
## 1216 29 =8-3-5 0 0 yes S 0
## 1217 29 =8-4-1 3 3 yes S 0
## 1218 29 =8-4-3 1 1 yes S 0
## 1219 29 =8-6-2 0 0 yes S 0
## 1220 29 =9-1-2 6 6 yes S 0
## 1221 29 =9-1-8 0 0 yes S 0
## 1222 29 =9-2-3 4 4 yes S 0
## 1223 29 =9-2-4 3 3 yes S 0
## 1224 29 =9-2-6 1 1 yes S 0
## 1225 29 =9-3-1 5 5 yes S 0
## 1226 29 =9-4-3 2 2 yes S 0
## 1227 29 =9-5-1 3 3 yes S 0
## 1228 29 =9-5-3 1 1 yes S 0
## 1229 29 =9-5-4 0 0 yes S 0
## 1230 29 =9-6-1 2 2 yes S 0
## 1231 29 =9-6-3 0 0 yes S 0
## 1232 29 =9-7-2 0 0 yes S 0
## 1233 3 =1+2+5 8 9 no A -1
## 1234 3 =1+3+5 9 11 no A -2
## 1235 3 =1+4+3 8 12 no A -4
## 1236 3 =1+6+3 10 12 no A -2
## 1237 3 =1+9+2 12 11 no A 1
## 1238 3 =1+9+3 13 12 no A 1
## 1239 3 =2+1+9 12 11 no A 1
## 1240 3 =2+3+6 11 10 no A 1
## 1241 3 =2+3+7 12 11 no A 1
## 1242 3 =2+5+6 13 9 no A 4
## 1243 3 =2+7+1 10 12 no A -2
## 1244 3 =2+8+3 13 11 no A 2
## 1245 3 =3+1+5 9 12 no A -3
## 1246 3 =3+1+7 11 12 no A -1
## 1247 3 =3+2+5 10 14 no A -4
## 1248 3 =3+4+2 9 10 no A -1
## 1249 3 =3+5+4 12 10 no A 2
## 1250 3 =3+5+6 14 13 no A 1
## 1251 3 =3+6+2 11 12 no A -1
## 1252 3 =3+7+2 12 8 no A 4
## 1253 3 =4+1+7 12 9 no A 3
## 1254 3 =4+1+8 13 10 no A 3
## 1255 3 =4+3+2 9 10 no A -1
## 1256 3 =4+6+1 11 12 no A -1
## 1257 3 =4+6+2 12 13 no A -1
## 1258 3 =4+6+3 13 12 no A 1
## 1259 3 =5+1+3 9 14 no A -5
## 1260 3 =5+1+4 10 11 no A -1
## 1261 3 =5+1+6 12 8 no A 4
## 1262 3 =5+2+4 11 13 no A -2
## 1263 3 =5+4+1 10 12 no A -2
## 1264 3 =6+1+2 9 13 no A -4
## 1265 3 =6+4+1 11 13 no A -2
## 1266 3 =6+5+1 12 13 no A -1
## 1267 3 =7+1+3 11 9 no A 2
## 1268 3 =7+1+4 12 10 no A 2
## 1269 3 =7+1+5 13 9 no A 4
## 1270 3 =7+2+1 10 11 no A -1
## 1271 3 =8+2+1 11 9 no A 2
## 1272 3 =8+2+4 14 11 no A 3
## 1273 3 =1+2+9 12 12 yes A 0
## 1274 3 =1+3+6 10 10 yes A 0
## 1275 3 =1+5+3 9 9 yes A 0
## 1276 3 =1+6+2 9 9 yes A 0
## 1277 3 =1+7+2 10 10 yes A 0
## 1278 3 =2+3+5 10 10 yes A 0
## 1279 3 =2+4+5 11 11 yes A 0
## 1280 3 =2+6+4 12 12 yes A 0
## 1281 3 =2+7+5 14 14 yes A 0
## 1282 3 =2+8+1 11 11 yes A 0
## 1283 3 =3+1+4 8 8 yes A 0
## 1284 3 =3+2+4 9 9 yes A 0
## 1285 3 =3+2+6 11 11 yes A 0
## 1286 3 =3+7+1 11 11 yes A 0
## 1287 3 =4+1+5 10 10 yes A 0
## 1288 3 =4+1+6 11 11 yes A 0
## 1289 3 =4+2+3 9 9 yes A 0
## 1290 3 =4+2+6 12 12 yes A 0
## 1291 3 =4+2+7 13 13 yes A 0
## 1292 3 =4+5+1 10 10 yes A 0
## 1293 3 =4+5+2 11 11 yes A 0
## 1294 3 =4+7+1 12 12 yes A 0
## 1295 3 =5+1+2 8 8 yes A 0
## 1296 3 =5+3+1 9 9 yes A 0
## 1297 3 =5+3+2 10 10 yes A 0
## 1298 3 =5+3+4 12 12 yes A 0
## 1299 3 =6+1+5 12 12 yes A 0
## 1300 3 =6+2+1 9 9 yes A 0
## 1301 3 =6+2+3 11 11 yes A 0
## 1302 3 =6+4+2 12 12 yes A 0
## 1303 3 =6+4+3 13 13 yes A 0
## 1304 3 =6+5+2 13 13 yes A 0
## 1305 3 =7+2+3 12 12 yes A 0
## 1306 3 =7+3+1 11 11 yes A 0
## 1307 3 =7+3+2 12 12 yes A 0
## 1308 3 =7+3+4 14 14 yes A 0
## 1309 3 =8+2+3 13 13 yes A 0
## 1310 3 =9+1+2 12 12 yes A 0
## 1311 3 =9+1+3 13 13 yes A 0
## 1312 3 =9+3+1 13 13 yes A 0
## 1313 3 =3-1-2 0 4 no S -4
## 1314 3 =4-3-1 0 2 no S -2
## 1315 3 =5-1-4 0 3 no S -3
## 1316 3 =5-3-2 0 1 no S -1
## 1317 3 =6-1-2 3 0 no S 3
## 1318 3 =6-1-3 2 0 no S 2
## 1319 3 =6-3-2 1 4 no S -3
## 1320 3 =6-4-2 0 1 no S -1
## 1321 3 =6-5-1 0 3 no S -3
## 1322 3 =7-1-2 4 0 no S 4
## 1323 3 =7-1-4 2 0 no S 2
## 1324 3 =7-1-6 0 3 no S -3
## 1325 3 =7-2-4 1 0 no S 1
## 1326 3 =7-2-5 0 1 no S -1
## 1327 3 =7-4-3 0 1 no S -1
## 1328 3 =8-1-2 5 0 no S 5
## 1329 3 =8-1-3 4 0 no S 4
## 1330 3 =8-1-5 2 0 no S 2
## 1331 3 =8-1-7 0 5 no S -5
## 1332 3 =8-2-5 1 6 no S -5
## 1333 3 =8-3-5 0 2 no S -2
## 1334 3 =8-4-1 3 0 no S 3
## 1335 3 =8-4-3 1 0 no S 1
## 1336 3 =8-6-2 0 5 no S -5
## 1337 3 =9-1-2 6 3 no S 3
## 1338 3 =9-1-8 0 2 no S -2
## 1339 3 =9-2-3 4 0 no S 4
## 1340 3 =9-2-4 3 0 no S 3
## 1341 3 =9-2-6 1 0 no S 1
## 1342 3 =9-3-1 5 0 no S 5
## 1343 3 =9-4-3 2 1 no S 1
## 1344 3 =9-5-1 3 2 no S 1
## 1345 3 =9-5-3 1 0 no S 1
## 1346 3 =9-5-4 0 2 no S -2
## 1347 3 =9-6-1 2 0 no S 2
## 1348 3 =9-6-3 0 1 no S -1
## 1349 3 =9-7-2 0 4 no S -4
## 1350 3 =3-2-1 0 0 yes S 0
## 1351 3 =4-1-3 0 0 yes S 0
## 1352 3 =5-2-3 0 0 yes S 0
## 1353 3 =5-4-1 0 0 yes S 0
## 1354 3 =6-1-5 0 0 yes S 0
## 1355 3 =6-2-1 3 3 yes S 0
## 1356 3 =6-2-3 1 1 yes S 0
## 1357 3 =6-2-4 0 0 yes S 0
## 1358 3 =6-3-1 2 2 yes S 0
## 1359 3 =7-2-1 4 4 yes S 0
## 1360 3 =7-3-4 0 0 yes S 0
## 1361 3 =7-4-1 2 2 yes S 0
## 1362 3 =7-4-2 1 1 yes S 0
## 1363 3 =7-5-2 0 0 yes S 0
## 1364 3 =7-6-1 0 0 yes S 0
## 1365 3 =8-1-4 3 3 yes S 0
## 1366 3 =8-2-1 5 5 yes S 0
## 1367 3 =8-2-6 0 0 yes S 0
## 1368 3 =8-3-1 4 4 yes S 0
## 1369 3 =8-3-4 1 1 yes S 0
## 1370 3 =8-5-1 2 2 yes S 0
## 1371 3 =8-5-2 1 1 yes S 0
## 1372 3 =8-5-3 0 0 yes S 0
## 1373 3 =8-7-1 0 0 yes S 0
## 1374 3 =9-1-3 5 5 yes S 0
## 1375 3 =9-1-5 3 3 yes S 0
## 1376 3 =9-1-6 2 2 yes S 0
## 1377 3 =9-2-1 6 6 yes S 0
## 1378 3 =9-2-7 0 0 yes S 0
## 1379 3 =9-3-2 4 4 yes S 0
## 1380 3 =9-3-4 2 2 yes S 0
## 1381 3 =9-3-5 1 1 yes S 0
## 1382 3 =9-3-6 0 0 yes S 0
## 1383 3 =9-4-2 3 3 yes S 0
## 1384 3 =9-4-5 0 0 yes S 0
## 1385 3 =9-6-2 1 1 yes S 0
## 1386 3 =9-8-1 0 0 yes S 0
## 1387 36 =1+2+9 12 8 no A 4
## 1388 36 =1+3+6 10 14 no A -4
## 1389 36 =1+5+3 9 12 no A -3
## 1390 36 =1+6+2 9 10 no A -1
## 1391 36 =1+7+2 10 11 no A -1
## 1392 36 =2+3+5 10 12 no A -2
## 1393 36 =2+4+5 11 10 no A 1
## 1394 36 =2+6+4 12 9 no A 3
## 1395 36 =2+7+5 14 13 no A 1
## 1396 36 =2+8+1 11 13 no A -2
## 1397 36 =3+1+4 8 9 no A -1
## 1398 36 =3+2+4 9 11 no A -2
## 1399 36 =3+2+6 11 13 no A -2
## 1400 36 =3+7+1 11 9 no A 2
## 1401 36 =4+1+5 10 12 no A -2
## 1402 36 =4+1+6 11 12 no A -1
## 1403 36 =4+2+3 9 12 no A -3
## 1404 36 =4+2+6 12 10 no A 2
## 1405 36 =4+2+7 13 9 no A 4
## 1406 36 =4+5+1 10 11 no A -1
## 1407 36 =4+5+2 11 9 no A 2
## 1408 36 =4+7+1 12 10 no A 2
## 1409 36 =5+1+2 8 13 no A -5
## 1410 36 =5+3+1 9 10 no A -1
## 1411 36 =5+3+2 10 12 no A -2
## 1412 36 =5+3+4 12 11 no A 1
## 1413 36 =6+1+5 12 13 no A -1
## 1414 36 =6+2+1 9 14 no A -5
## 1415 36 =6+2+3 11 12 no A -1
## 1416 36 =6+4+2 12 11 no A 1
## 1417 36 =6+4+3 13 12 no A 1
## 1418 36 =6+5+2 13 10 no A 3
## 1419 36 =7+2+3 12 13 no A -1
## 1420 36 =7+3+1 11 12 no A -1
## 1421 36 =7+3+2 12 8 no A 4
## 1422 36 =7+3+4 14 11 no A 3
## 1423 36 =8+2+3 13 9 no A 4
## 1424 36 =9+1+2 12 11 no A 1
## 1425 36 =9+1+3 13 12 no A 1
## 1426 36 =9+3+1 13 11 no A 2
## 1427 36 =1+2+5 8 8 yes A 0
## 1428 36 =1+3+5 9 9 yes A 0
## 1429 36 =1+4+3 8 8 yes A 0
## 1430 36 =1+6+3 10 10 yes A 0
## 1431 36 =1+9+2 12 12 yes A 0
## 1432 36 =1+9+3 13 13 yes A 0
## 1433 36 =2+1+9 12 12 yes A 0
## 1434 36 =2+3+6 11 11 yes A 0
## 1435 36 =2+3+7 12 12 yes A 0
## 1436 36 =2+5+6 13 13 yes A 0
## 1437 36 =2+7+1 10 10 yes A 0
## 1438 36 =2+8+3 13 13 yes A 0
## 1439 36 =3+1+5 9 9 yes A 0
## 1440 36 =3+1+7 11 11 yes A 0
## 1441 36 =3+2+5 10 10 yes A 0
## 1442 36 =3+4+2 9 9 yes A 0
## 1443 36 =3+5+4 12 12 yes A 0
## 1444 36 =3+5+6 14 14 yes A 0
## 1445 36 =3+6+2 11 11 yes A 0
## 1446 36 =3+7+2 12 12 yes A 0
## 1447 36 =4+1+7 12 12 yes A 0
## 1448 36 =4+1+8 13 13 yes A 0
## 1449 36 =4+3+2 9 9 yes A 0
## 1450 36 =4+6+1 11 11 yes A 0
## 1451 36 =4+6+2 12 12 yes A 0
## 1452 36 =4+6+3 13 13 yes A 0
## 1453 36 =5+1+3 9 9 yes A 0
## 1454 36 =5+1+4 10 10 yes A 0
## 1455 36 =5+1+6 12 12 yes A 0
## 1456 36 =5+2+4 11 11 yes A 0
## 1457 36 =5+4+1 10 10 yes A 0
## 1458 36 =6+1+2 9 9 yes A 0
## 1459 36 =6+4+1 11 11 yes A 0
## 1460 36 =6+5+1 12 12 yes A 0
## 1461 36 =7+1+3 11 11 yes A 0
## 1462 36 =7+1+4 12 12 yes A 0
## 1463 36 =7+1+5 13 13 yes A 0
## 1464 36 =7+2+1 10 10 yes A 0
## 1465 36 =8+2+1 11 11 yes A 0
## 1466 36 =8+2+4 14 14 yes A 0
## 1467 36 =3-2-1 0 2 no S -2
## 1468 36 =4-1-3 0 5 no S -5
## 1469 36 =5-2-3 0 1 no S -1
## 1470 36 =5-4-1 0 3 no S -3
## 1471 36 =6-1-5 0 4 no S -4
## 1472 36 =6-2-1 3 0 no S 3
## 1473 36 =6-2-3 1 0 no S 1
## 1474 36 =6-2-4 0 1 no S -1
## 1475 36 =6-3-1 2 0 no S 2
## 1476 36 =7-2-1 4 0 no S 4
## 1477 36 =7-3-4 0 2 no S -2
## 1478 36 =7-4-1 2 0 no S 2
## 1479 36 =7-4-2 1 0 no S 1
## 1480 36 =7-5-2 0 1 no S -1
## 1481 36 =7-6-1 0 2 no S -2
## 1482 36 =8-1-4 3 2 no S 1
## 1483 36 =8-2-1 5 0 no S 5
## 1484 36 =8-2-6 0 1 no S -1
## 1485 36 =8-3-1 4 0 no S 4
## 1486 36 =8-3-4 1 0 no S 1
## 1487 36 =8-5-1 2 0 no S 2
## 1488 36 =8-5-2 1 6 no S -5
## 1489 36 =8-5-3 0 1 no S -1
## 1490 36 =8-7-1 0 4 no S -4
## 1491 36 =9-1-3 5 0 no S 5
## 1492 36 =9-1-5 3 0 no S 3
## 1493 36 =9-1-6 2 4 no S -2
## 1494 36 =9-2-1 6 3 no S 3
## 1495 36 =9-2-7 0 1 no S -1
## 1496 36 =9-3-2 4 0 no S 4
## 1497 36 =9-3-4 2 0 no S 2
## 1498 36 =9-3-5 1 0 no S 1
## 1499 36 =9-3-6 0 2 no S -2
## 1500 36 =9-4-2 3 0 no S 3
## 1501 36 =9-4-5 0 3 no S -3
## 1502 36 =9-6-2 1 5 no S -4
## 1503 36 =9-8-1 0 3 no S -3
## 1504 36 =3-1-2 0 0 yes S 0
## 1505 36 =4-3-1 0 0 yes S 0
## 1506 36 =5-1-4 0 0 yes S 0
## 1507 36 =5-3-2 0 0 yes S 0
## 1508 36 =6-1-2 3 3 yes S 0
## 1509 36 =6-1-3 2 2 yes S 0
## 1510 36 =6-3-2 1 1 yes S 0
## 1511 36 =6-4-2 0 0 yes S 0
## 1512 36 =6-5-1 0 0 yes S 0
## 1513 36 =7-1-2 4 4 yes S 0
## 1514 36 =7-1-4 2 2 yes S 0
## 1515 36 =7-1-6 0 0 yes S 0
## 1516 36 =7-2-4 1 1 yes S 0
## 1517 36 =7-2-5 0 0 yes S 0
## 1518 36 =7-4-3 0 0 yes S 0
## 1519 36 =8-1-2 5 5 yes S 0
## 1520 36 =8-1-3 4 4 yes S 0
## 1521 36 =8-1-5 2 2 yes S 0
## 1522 36 =8-1-7 0 0 yes S 0
## 1523 36 =8-2-5 1 1 yes S 0
## 1524 36 =8-3-5 0 0 yes S 0
## 1525 36 =8-4-1 3 3 yes S 0
## 1526 36 =8-4-3 1 1 yes S 0
## 1527 36 =8-6-2 0 0 yes S 0
## 1528 36 =9-1-2 6 6 yes S 0
## 1529 36 =9-1-8 0 0 yes S 0
## 1530 36 =9-2-3 4 4 yes S 0
## 1531 36 =9-2-4 3 3 yes S 0
## 1532 36 =9-2-6 1 1 yes S 0
## 1533 36 =9-3-1 5 5 yes S 0
## 1534 36 =9-4-3 2 2 yes S 0
## 1535 36 =9-5-1 3 3 yes S 0
## 1536 36 =9-5-3 1 1 yes S 0
## 1537 36 =9-5-4 0 0 yes S 0
## 1538 36 =9-6-1 2 2 yes S 0
## 1539 36 =9-6-3 0 0 yes S 0
## 1540 36 =9-7-2 0 0 yes S 0
## 1541 38 =1+2+9 12 8 no A 4
## 1542 38 =1+3+6 10 14 no A -4
## 1543 38 =1+5+3 9 12 no A -3
## 1544 38 =1+6+2 9 10 no A -1
## 1545 38 =1+7+2 10 11 no A -1
## 1546 38 =2+3+5 10 12 no A -2
## 1547 38 =2+4+5 11 10 no A 1
## 1548 38 =2+6+4 12 9 no A 3
## 1549 38 =2+7+5 14 13 no A 1
## 1550 38 =2+8+1 11 13 no A -2
## 1551 38 =3+1+4 8 9 no A -1
## 1552 38 =3+2+4 9 11 no A -2
## 1553 38 =3+2+6 11 13 no A -2
## 1554 38 =3+7+1 11 9 no A 2
## 1555 38 =4+1+5 10 12 no A -2
## 1556 38 =4+1+6 11 12 no A -1
## 1557 38 =4+2+3 9 12 no A -3
## 1558 38 =4+2+6 12 10 no A 2
## 1559 38 =4+2+7 13 9 no A 4
## 1560 38 =4+5+1 10 11 no A -1
## 1561 38 =4+5+2 11 9 no A 2
## 1562 38 =4+7+1 12 10 no A 2
## 1563 38 =5+1+2 8 13 no A -5
## 1564 38 =5+3+1 9 10 no A -1
## 1565 38 =5+3+2 10 12 no A -2
## 1566 38 =5+3+4 12 11 no A 1
## 1567 38 =6+1+5 12 13 no A -1
## 1568 38 =6+2+1 9 14 no A -5
## 1569 38 =6+2+3 11 12 no A -1
## 1570 38 =6+4+2 12 11 no A 1
## 1571 38 =6+4+3 13 12 no A 1
## 1572 38 =6+5+2 13 10 no A 3
## 1573 38 =7+2+3 12 13 no A -1
## 1574 38 =7+3+1 11 12 no A -1
## 1575 38 =7+3+2 12 8 no A 4
## 1576 38 =7+3+4 14 11 no A 3
## 1577 38 =8+2+3 13 9 no A 4
## 1578 38 =9+1+2 12 11 no A 1
## 1579 38 =9+1+3 13 12 no A 1
## 1580 38 =9+3+1 13 11 no A 2
## 1581 38 =1+2+5 8 8 yes A 0
## 1582 38 =1+3+5 9 9 yes A 0
## 1583 38 =1+4+3 8 8 yes A 0
## 1584 38 =1+6+3 10 10 yes A 0
## 1585 38 =1+9+2 12 12 yes A 0
## 1586 38 =1+9+3 13 13 yes A 0
## 1587 38 =2+1+9 12 12 yes A 0
## 1588 38 =2+3+6 11 11 yes A 0
## 1589 38 =2+3+7 12 12 yes A 0
## 1590 38 =2+5+6 13 13 yes A 0
## 1591 38 =2+7+1 10 10 yes A 0
## 1592 38 =2+8+3 13 13 yes A 0
## 1593 38 =3+1+5 9 9 yes A 0
## 1594 38 =3+1+7 11 11 yes A 0
## 1595 38 =3+2+5 10 10 yes A 0
## 1596 38 =3+4+2 9 9 yes A 0
## 1597 38 =3+5+4 12 12 yes A 0
## 1598 38 =3+5+6 14 14 yes A 0
## 1599 38 =3+6+2 11 11 yes A 0
## 1600 38 =3+7+2 12 12 yes A 0
## 1601 38 =4+1+7 12 12 yes A 0
## 1602 38 =4+1+8 13 13 yes A 0
## 1603 38 =4+3+2 9 9 yes A 0
## 1604 38 =4+6+1 11 11 yes A 0
## 1605 38 =4+6+2 12 12 yes A 0
## 1606 38 =4+6+3 13 13 yes A 0
## 1607 38 =5+1+3 9 9 yes A 0
## 1608 38 =5+1+4 10 10 yes A 0
## 1609 38 =5+1+6 12 12 yes A 0
## 1610 38 =5+2+4 11 11 yes A 0
## 1611 38 =5+4+1 10 10 yes A 0
## 1612 38 =6+1+2 9 9 yes A 0
## 1613 38 =6+4+1 11 11 yes A 0
## 1614 38 =6+5+1 12 12 yes A 0
## 1615 38 =7+1+3 11 11 yes A 0
## 1616 38 =7+1+4 12 12 yes A 0
## 1617 38 =7+1+5 13 13 yes A 0
## 1618 38 =7+2+1 10 10 yes A 0
## 1619 38 =8+2+1 11 11 yes A 0
## 1620 38 =8+2+4 14 14 yes A 0
## 1621 38 =3-2-1 0 2 no S -2
## 1622 38 =4-1-3 0 5 no S -5
## 1623 38 =5-2-3 0 1 no S -1
## 1624 38 =5-4-1 0 3 no S -3
## 1625 38 =6-1-5 0 4 no S -4
## 1626 38 =6-2-1 3 0 no S 3
## 1627 38 =6-2-3 1 0 no S 1
## 1628 38 =6-2-4 0 1 no S -1
## 1629 38 =6-3-1 2 0 no S 2
## 1630 38 =7-2-1 4 0 no S 4
## 1631 38 =7-3-4 0 2 no S -2
## 1632 38 =7-4-1 2 0 no S 2
## 1633 38 =7-4-2 1 0 no S 1
## 1634 38 =7-5-2 0 1 no S -1
## 1635 38 =7-6-1 0 2 no S -2
## 1636 38 =8-1-4 3 2 no S 1
## 1637 38 =8-2-1 5 0 no S 5
## 1638 38 =8-2-6 0 1 no S -1
## 1639 38 =8-3-1 4 0 no S 4
## 1640 38 =8-3-4 1 0 no S 1
## 1641 38 =8-5-1 2 0 no S 2
## 1642 38 =8-5-2 1 6 no S -5
## 1643 38 =8-5-3 0 1 no S -1
## 1644 38 =8-7-1 0 4 no S -4
## 1645 38 =9-1-3 5 0 no S 5
## 1646 38 =9-1-5 3 0 no S 3
## 1647 38 =9-1-6 2 4 no S -2
## 1648 38 =9-2-1 6 3 no S 3
## 1649 38 =9-2-7 0 1 no S -1
## 1650 38 =9-3-2 4 0 no S 4
## 1651 38 =9-3-4 2 0 no S 2
## 1652 38 =9-3-5 1 0 no S 1
## 1653 38 =9-3-6 0 2 no S -2
## 1654 38 =9-4-2 3 0 no S 3
## 1655 38 =9-4-5 0 3 no S -3
## 1656 38 =9-6-2 1 5 no S -4
## 1657 38 =9-8-1 0 3 no S -3
## 1658 38 =3-1-2 0 0 yes S 0
## 1659 38 =4-3-1 0 0 yes S 0
## 1660 38 =5-1-4 0 0 yes S 0
## 1661 38 =5-3-2 0 0 yes S 0
## 1662 38 =6-1-2 3 3 yes S 0
## 1663 38 =6-1-3 2 2 yes S 0
## 1664 38 =6-3-2 1 1 yes S 0
## 1665 38 =6-4-2 0 0 yes S 0
## 1666 38 =6-5-1 0 0 yes S 0
## 1667 38 =7-1-2 4 4 yes S 0
## 1668 38 =7-1-4 2 2 yes S 0
## 1669 38 =7-1-6 0 0 yes S 0
## 1670 38 =7-2-4 1 1 yes S 0
## 1671 38 =7-2-5 0 0 yes S 0
## 1672 38 =7-4-3 0 0 yes S 0
## 1673 38 =8-1-2 5 5 yes S 0
## 1674 38 =8-1-3 4 4 yes S 0
## 1675 38 =8-1-5 2 2 yes S 0
## 1676 38 =8-1-7 0 0 yes S 0
## 1677 38 =8-2-5 1 1 yes S 0
## 1678 38 =8-3-5 0 0 yes S 0
## 1679 38 =8-4-1 3 3 yes S 0
## 1680 38 =8-4-3 1 1 yes S 0
## 1681 38 =8-6-2 0 0 yes S 0
## 1682 38 =9-1-2 6 6 yes S 0
## 1683 38 =9-1-8 0 0 yes S 0
## 1684 38 =9-2-3 4 4 yes S 0
## 1685 38 =9-2-4 3 3 yes S 0
## 1686 38 =9-2-6 1 1 yes S 0
## 1687 38 =9-3-1 5 5 yes S 0
## 1688 38 =9-4-3 2 2 yes S 0
## 1689 38 =9-5-1 3 3 yes S 0
## 1690 38 =9-5-3 1 1 yes S 0
## 1691 38 =9-5-4 0 0 yes S 0
## 1692 38 =9-6-1 2 2 yes S 0
## 1693 38 =9-6-3 0 0 yes S 0
## 1694 38 =9-7-2 0 0 yes S 0
## 1695 39 =1+2+9 12 8 no A 4
## 1696 39 =1+3+6 10 14 no A -4
## 1697 39 =1+5+3 9 12 no A -3
## 1698 39 =1+6+2 9 10 no A -1
## 1699 39 =1+7+2 10 11 no A -1
## 1700 39 =2+3+5 10 12 no A -2
## 1701 39 =2+4+5 11 10 no A 1
## 1702 39 =2+6+4 12 9 no A 3
## 1703 39 =2+7+5 14 13 no A 1
## 1704 39 =2+8+1 11 13 no A -2
## 1705 39 =3+1+4 8 9 no A -1
## 1706 39 =3+2+4 9 11 no A -2
## 1707 39 =3+2+6 11 13 no A -2
## 1708 39 =3+7+1 11 9 no A 2
## 1709 39 =4+1+5 10 12 no A -2
## 1710 39 =4+1+6 11 12 no A -1
## 1711 39 =4+2+3 9 12 no A -3
## 1712 39 =4+2+6 12 10 no A 2
## 1713 39 =4+2+7 13 9 no A 4
## 1714 39 =4+5+1 10 11 no A -1
## 1715 39 =4+5+2 11 9 no A 2
## 1716 39 =4+7+1 12 10 no A 2
## 1717 39 =5+1+2 8 13 no A -5
## 1718 39 =5+3+1 9 10 no A -1
## 1719 39 =5+3+2 10 12 no A -2
## 1720 39 =5+3+4 12 11 no A 1
## 1721 39 =6+1+5 12 13 no A -1
## 1722 39 =6+2+1 9 14 no A -5
## 1723 39 =6+2+3 11 12 no A -1
## 1724 39 =6+4+2 12 11 no A 1
## 1725 39 =6+4+3 13 12 no A 1
## 1726 39 =6+5+2 13 10 no A 3
## 1727 39 =7+2+3 12 13 no A -1
## 1728 39 =7+3+1 11 12 no A -1
## 1729 39 =7+3+2 12 8 no A 4
## 1730 39 =7+3+4 14 11 no A 3
## 1731 39 =8+2+3 13 9 no A 4
## 1732 39 =9+1+2 12 11 no A 1
## 1733 39 =9+1+3 13 12 no A 1
## 1734 39 =9+3+1 13 11 no A 2
## 1735 39 =1+2+5 8 8 yes A 0
## 1736 39 =1+3+5 9 9 yes A 0
## 1737 39 =1+4+3 8 8 yes A 0
## 1738 39 =1+6+3 10 10 yes A 0
## 1739 39 =1+9+2 12 12 yes A 0
## 1740 39 =1+9+3 13 13 yes A 0
## 1741 39 =2+1+9 12 12 yes A 0
## 1742 39 =2+3+6 11 11 yes A 0
## 1743 39 =2+3+7 12 12 yes A 0
## 1744 39 =2+5+6 13 13 yes A 0
## 1745 39 =2+7+1 10 10 yes A 0
## 1746 39 =2+8+3 13 13 yes A 0
## 1747 39 =3+1+5 9 9 yes A 0
## 1748 39 =3+1+7 11 11 yes A 0
## 1749 39 =3+2+5 10 10 yes A 0
## 1750 39 =3+4+2 9 9 yes A 0
## 1751 39 =3+5+4 12 12 yes A 0
## 1752 39 =3+5+6 14 14 yes A 0
## 1753 39 =3+6+2 11 11 yes A 0
## 1754 39 =3+7+2 12 12 yes A 0
## 1755 39 =4+1+7 12 12 yes A 0
## 1756 39 =4+1+8 13 13 yes A 0
## 1757 39 =4+3+2 9 9 yes A 0
## 1758 39 =4+6+1 11 11 yes A 0
## 1759 39 =4+6+2 12 12 yes A 0
## 1760 39 =4+6+3 13 13 yes A 0
## 1761 39 =5+1+3 9 9 yes A 0
## 1762 39 =5+1+4 10 10 yes A 0
## 1763 39 =5+1+6 12 12 yes A 0
## 1764 39 =5+2+4 11 11 yes A 0
## 1765 39 =5+4+1 10 10 yes A 0
## 1766 39 =6+1+2 9 9 yes A 0
## 1767 39 =6+4+1 11 11 yes A 0
## 1768 39 =6+5+1 12 12 yes A 0
## 1769 39 =7+1+3 11 11 yes A 0
## 1770 39 =7+1+4 12 12 yes A 0
## 1771 39 =7+1+5 13 13 yes A 0
## 1772 39 =7+2+1 10 10 yes A 0
## 1773 39 =8+2+1 11 11 yes A 0
## 1774 39 =8+2+4 14 14 yes A 0
## 1775 39 =3-2-1 0 2 no S -2
## 1776 39 =4-1-3 0 5 no S -5
## 1777 39 =5-2-3 0 1 no S -1
## 1778 39 =5-4-1 0 3 no S -3
## 1779 39 =6-1-5 0 4 no S -4
## 1780 39 =6-2-1 3 0 no S 3
## 1781 39 =6-2-3 1 0 no S 1
## 1782 39 =6-2-4 0 1 no S -1
## 1783 39 =6-3-1 2 0 no S 2
## 1784 39 =7-2-1 4 0 no S 4
## 1785 39 =7-3-4 0 2 no S -2
## 1786 39 =7-4-1 2 0 no S 2
## 1787 39 =7-4-2 1 0 no S 1
## 1788 39 =7-5-2 0 1 no S -1
## 1789 39 =7-6-1 0 2 no S -2
## 1790 39 =8-1-4 3 2 no S 1
## 1791 39 =8-2-1 5 0 no S 5
## 1792 39 =8-2-6 0 1 no S -1
## 1793 39 =8-3-1 4 0 no S 4
## 1794 39 =8-3-4 1 0 no S 1
## 1795 39 =8-5-1 2 0 no S 2
## 1796 39 =8-5-2 1 6 no S -5
## 1797 39 =8-5-3 0 1 no S -1
## 1798 39 =8-7-1 0 4 no S -4
## 1799 39 =9-1-3 5 0 no S 5
## 1800 39 =9-1-5 3 0 no S 3
## 1801 39 =9-1-6 2 4 no S -2
## 1802 39 =9-2-1 6 3 no S 3
## 1803 39 =9-2-7 0 1 no S -1
## 1804 39 =9-3-2 4 0 no S 4
## 1805 39 =9-3-4 2 0 no S 2
## 1806 39 =9-3-5 1 0 no S 1
## 1807 39 =9-3-6 0 2 no S -2
## 1808 39 =9-4-2 3 0 no S 3
## 1809 39 =9-4-5 0 3 no S -3
## 1810 39 =9-6-2 1 5 no S -4
## 1811 39 =9-8-1 0 3 no S -3
## 1812 39 =3-1-2 0 0 yes S 0
## 1813 39 =4-3-1 0 0 yes S 0
## 1814 39 =5-1-4 0 0 yes S 0
## 1815 39 =5-3-2 0 0 yes S 0
## 1816 39 =6-1-2 3 3 yes S 0
## 1817 39 =6-1-3 2 2 yes S 0
## 1818 39 =6-3-2 1 1 yes S 0
## 1819 39 =6-4-2 0 0 yes S 0
## 1820 39 =6-5-1 0 0 yes S 0
## 1821 39 =7-1-2 4 4 yes S 0
## 1822 39 =7-1-4 2 2 yes S 0
## 1823 39 =7-1-6 0 0 yes S 0
## 1824 39 =7-2-4 1 1 yes S 0
## 1825 39 =7-2-5 0 0 yes S 0
## 1826 39 =7-4-3 0 0 yes S 0
## 1827 39 =8-1-2 5 5 yes S 0
## 1828 39 =8-1-3 4 4 yes S 0
## 1829 39 =8-1-5 2 2 yes S 0
## 1830 39 =8-1-7 0 0 yes S 0
## 1831 39 =8-2-5 1 1 yes S 0
## 1832 39 =8-3-5 0 0 yes S 0
## 1833 39 =8-4-1 3 3 yes S 0
## 1834 39 =8-4-3 1 1 yes S 0
## 1835 39 =8-6-2 0 0 yes S 0
## 1836 39 =9-1-2 6 6 yes S 0
## 1837 39 =9-1-8 0 0 yes S 0
## 1838 39 =9-2-3 4 4 yes S 0
## 1839 39 =9-2-4 3 3 yes S 0
## 1840 39 =9-2-6 1 1 yes S 0
## 1841 39 =9-3-1 5 5 yes S 0
## 1842 39 =9-4-3 2 2 yes S 0
## 1843 39 =9-5-1 3 3 yes S 0
## 1844 39 =9-5-3 1 1 yes S 0
## 1845 39 =9-5-4 0 0 yes S 0
## 1846 39 =9-6-1 2 2 yes S 0
## 1847 39 =9-6-3 0 0 yes S 0
## 1848 39 =9-7-2 0 0 yes S 0
## 1849 40 =1+2+9 12 8 no A 4
## 1850 40 =1+3+6 10 14 no A -4
## 1851 40 =1+5+3 9 12 no A -3
## 1852 40 =1+6+2 9 10 no A -1
## 1853 40 =1+7+2 10 11 no A -1
## 1854 40 =2+3+5 10 12 no A -2
## 1855 40 =2+4+5 11 10 no A 1
## 1856 40 =2+6+4 12 9 no A 3
## 1857 40 =2+7+5 14 13 no A 1
## 1858 40 =2+8+1 11 13 no A -2
## 1859 40 =3+1+4 8 9 no A -1
## 1860 40 =3+2+4 9 11 no A -2
## 1861 40 =3+2+6 11 13 no A -2
## 1862 40 =3+7+1 11 9 no A 2
## 1863 40 =4+1+5 10 12 no A -2
## 1864 40 =4+1+6 11 12 no A -1
## 1865 40 =4+2+3 9 12 no A -3
## 1866 40 =4+2+6 12 10 no A 2
## 1867 40 =4+2+7 13 9 no A 4
## 1868 40 =4+5+1 10 11 no A -1
## 1869 40 =4+5+2 11 9 no A 2
## 1870 40 =4+7+1 12 10 no A 2
## 1871 40 =5+1+2 8 13 no A -5
## 1872 40 =5+3+1 9 10 no A -1
## 1873 40 =5+3+2 10 12 no A -2
## 1874 40 =5+3+4 12 11 no A 1
## 1875 40 =6+1+5 12 13 no A -1
## 1876 40 =6+2+1 9 14 no A -5
## 1877 40 =6+2+3 11 12 no A -1
## 1878 40 =6+4+2 12 11 no A 1
## 1879 40 =6+4+3 13 12 no A 1
## 1880 40 =6+5+2 13 10 no A 3
## 1881 40 =7+2+3 12 13 no A -1
## 1882 40 =7+3+1 11 12 no A -1
## 1883 40 =7+3+2 12 8 no A 4
## 1884 40 =7+3+4 14 11 no A 3
## 1885 40 =8+2+3 13 9 no A 4
## 1886 40 =9+1+2 12 11 no A 1
## 1887 40 =9+1+3 13 12 no A 1
## 1888 40 =9+3+1 13 11 no A 2
## 1889 40 =1+2+5 8 8 yes A 0
## 1890 40 =1+3+5 9 9 yes A 0
## 1891 40 =1+4+3 8 8 yes A 0
## 1892 40 =1+6+3 10 10 yes A 0
## 1893 40 =1+9+2 12 12 yes A 0
## 1894 40 =1+9+3 13 13 yes A 0
## 1895 40 =2+1+9 12 12 yes A 0
## 1896 40 =2+3+6 11 11 yes A 0
## 1897 40 =2+3+7 12 12 yes A 0
## 1898 40 =2+5+6 13 13 yes A 0
## 1899 40 =2+7+1 10 10 yes A 0
## 1900 40 =2+8+3 13 13 yes A 0
## 1901 40 =3+1+5 9 9 yes A 0
## 1902 40 =3+1+7 11 11 yes A 0
## 1903 40 =3+2+5 10 10 yes A 0
## 1904 40 =3+4+2 9 9 yes A 0
## 1905 40 =3+5+4 12 12 yes A 0
## 1906 40 =3+5+6 14 14 yes A 0
## 1907 40 =3+6+2 11 11 yes A 0
## 1908 40 =3+7+2 12 12 yes A 0
## 1909 40 =4+1+7 12 12 yes A 0
## 1910 40 =4+1+8 13 13 yes A 0
## 1911 40 =4+3+2 9 9 yes A 0
## 1912 40 =4+6+1 11 11 yes A 0
## 1913 40 =4+6+2 12 12 yes A 0
## 1914 40 =4+6+3 13 13 yes A 0
## 1915 40 =5+1+3 9 9 yes A 0
## 1916 40 =5+1+4 10 10 yes A 0
## 1917 40 =5+1+6 12 12 yes A 0
## 1918 40 =5+2+4 11 11 yes A 0
## 1919 40 =5+4+1 10 10 yes A 0
## 1920 40 =6+1+2 9 9 yes A 0
## 1921 40 =6+4+1 11 11 yes A 0
## 1922 40 =6+5+1 12 12 yes A 0
## 1923 40 =7+1+3 11 11 yes A 0
## 1924 40 =7+1+4 12 12 yes A 0
## 1925 40 =7+1+5 13 13 yes A 0
## 1926 40 =7+2+1 10 10 yes A 0
## 1927 40 =8+2+1 11 11 yes A 0
## 1928 40 =8+2+4 14 14 yes A 0
## 1929 40 =3-2-1 0 2 no S -2
## 1930 40 =4-1-3 0 5 no S -5
## 1931 40 =5-2-3 0 1 no S -1
## 1932 40 =5-4-1 0 3 no S -3
## 1933 40 =6-1-5 0 4 no S -4
## 1934 40 =6-2-1 3 0 no S 3
## 1935 40 =6-2-3 1 0 no S 1
## 1936 40 =6-2-4 0 1 no S -1
## 1937 40 =6-3-1 2 0 no S 2
## 1938 40 =7-2-1 4 0 no S 4
## 1939 40 =7-3-4 0 2 no S -2
## 1940 40 =7-4-1 2 0 no S 2
## 1941 40 =7-4-2 1 0 no S 1
## 1942 40 =7-5-2 0 1 no S -1
## 1943 40 =7-6-1 0 2 no S -2
## 1944 40 =8-1-4 3 2 no S 1
## 1945 40 =8-2-1 5 0 no S 5
## 1946 40 =8-2-6 0 1 no S -1
## 1947 40 =8-3-1 4 0 no S 4
## 1948 40 =8-3-4 1 0 no S 1
## 1949 40 =8-5-1 2 0 no S 2
## 1950 40 =8-5-2 1 6 no S -5
## 1951 40 =8-5-3 0 1 no S -1
## 1952 40 =8-7-1 0 4 no S -4
## 1953 40 =9-1-3 5 0 no S 5
## 1954 40 =9-1-5 3 0 no S 3
## 1955 40 =9-1-6 2 4 no S -2
## 1956 40 =9-2-1 6 3 no S 3
## 1957 40 =9-2-7 0 1 no S -1
## 1958 40 =9-3-2 4 0 no S 4
## 1959 40 =9-3-4 2 0 no S 2
## 1960 40 =9-3-5 1 0 no S 1
## 1961 40 =9-3-6 0 2 no S -2
## 1962 40 =9-4-2 3 0 no S 3
## 1963 40 =9-4-5 0 3 no S -3
## 1964 40 =9-6-2 1 5 no S -4
## 1965 40 =9-8-1 0 3 no S -3
## 1966 40 =3-1-2 0 0 yes S 0
## 1967 40 =4-3-1 0 0 yes S 0
## 1968 40 =5-1-4 0 0 yes S 0
## 1969 40 =5-3-2 0 0 yes S 0
## 1970 40 =6-1-2 3 3 yes S 0
## 1971 40 =6-1-3 2 2 yes S 0
## 1972 40 =6-3-2 1 1 yes S 0
## 1973 40 =6-4-2 0 0 yes S 0
## 1974 40 =6-5-1 0 0 yes S 0
## 1975 40 =7-1-2 4 4 yes S 0
## 1976 40 =7-1-4 2 2 yes S 0
## 1977 40 =7-1-6 0 0 yes S 0
## 1978 40 =7-2-4 1 1 yes S 0
## 1979 40 =7-2-5 0 0 yes S 0
## 1980 40 =7-4-3 0 0 yes S 0
## 1981 40 =8-1-2 5 5 yes S 0
## 1982 40 =8-1-3 4 4 yes S 0
## 1983 40 =8-1-5 2 2 yes S 0
## 1984 40 =8-1-7 0 0 yes S 0
## 1985 40 =8-2-5 1 1 yes S 0
## 1986 40 =8-3-5 0 0 yes S 0
## 1987 40 =8-4-1 3 3 yes S 0
## 1988 40 =8-4-3 1 1 yes S 0
## 1989 40 =8-6-2 0 0 yes S 0
## 1990 40 =9-1-2 6 6 yes S 0
## 1991 40 =9-1-8 0 0 yes S 0
## 1992 40 =9-2-3 4 4 yes S 0
## 1993 40 =9-2-4 3 3 yes S 0
## 1994 40 =9-2-6 1 1 yes S 0
## 1995 40 =9-3-1 5 5 yes S 0
## 1996 40 =9-4-3 2 2 yes S 0
## 1997 40 =9-5-1 3 3 yes S 0
## 1998 40 =9-5-3 1 1 yes S 0
## 1999 40 =9-5-4 0 0 yes S 0
## 2000 40 =9-6-1 2 2 yes S 0
## 2001 40 =9-6-3 0 0 yes S 0
## 2002 40 =9-7-2 0 0 yes S 0
## 2003 41 =1+2+9 12 8 no A 4
## 2004 41 =1+3+6 10 14 no A -4
## 2005 41 =1+5+3 9 12 no A -3
## 2006 41 =1+6+2 9 10 no A -1
## 2007 41 =1+7+2 10 11 no A -1
## 2008 41 =2+3+5 10 12 no A -2
## 2009 41 =2+4+5 11 10 no A 1
## 2010 41 =2+6+4 12 9 no A 3
## 2011 41 =2+7+5 14 13 no A 1
## 2012 41 =2+8+1 11 13 no A -2
## 2013 41 =3+1+4 8 9 no A -1
## 2014 41 =3+2+4 9 11 no A -2
## 2015 41 =3+2+6 11 13 no A -2
## 2016 41 =3+7+1 11 9 no A 2
## 2017 41 =4+1+5 10 12 no A -2
## 2018 41 =4+1+6 11 12 no A -1
## 2019 41 =4+2+3 9 12 no A -3
## 2020 41 =4+2+6 12 10 no A 2
## 2021 41 =4+2+7 13 9 no A 4
## 2022 41 =4+5+1 10 11 no A -1
## 2023 41 =4+5+2 11 9 no A 2
## 2024 41 =4+7+1 12 10 no A 2
## 2025 41 =5+1+2 8 13 no A -5
## 2026 41 =5+3+1 9 10 no A -1
## 2027 41 =5+3+2 10 12 no A -2
## 2028 41 =5+3+4 12 11 no A 1
## 2029 41 =6+1+5 12 13 no A -1
## 2030 41 =6+2+1 9 14 no A -5
## 2031 41 =6+2+3 11 12 no A -1
## 2032 41 =6+4+2 12 11 no A 1
## 2033 41 =6+4+3 13 12 no A 1
## 2034 41 =6+5+2 13 10 no A 3
## 2035 41 =7+2+3 12 13 no A -1
## 2036 41 =7+3+1 11 12 no A -1
## 2037 41 =7+3+2 12 8 no A 4
## 2038 41 =7+3+4 14 11 no A 3
## 2039 41 =8+2+3 13 9 no A 4
## 2040 41 =9+1+2 12 11 no A 1
## 2041 41 =9+1+3 13 12 no A 1
## 2042 41 =9+3+1 13 11 no A 2
## 2043 41 =1+2+5 8 8 yes A 0
## 2044 41 =1+3+5 9 9 yes A 0
## 2045 41 =1+4+3 8 8 yes A 0
## 2046 41 =1+6+3 10 10 yes A 0
## 2047 41 =1+9+2 12 12 yes A 0
## 2048 41 =1+9+3 13 13 yes A 0
## 2049 41 =2+1+9 12 12 yes A 0
## 2050 41 =2+3+6 11 11 yes A 0
## 2051 41 =2+3+7 12 12 yes A 0
## 2052 41 =2+5+6 13 13 yes A 0
## 2053 41 =2+7+1 10 10 yes A 0
## 2054 41 =2+8+3 13 13 yes A 0
## 2055 41 =3+1+5 9 9 yes A 0
## 2056 41 =3+1+7 11 11 yes A 0
## 2057 41 =3+2+5 10 10 yes A 0
## 2058 41 =3+4+2 9 9 yes A 0
## 2059 41 =3+5+4 12 12 yes A 0
## 2060 41 =3+5+6 14 14 yes A 0
## 2061 41 =3+6+2 11 11 yes A 0
## 2062 41 =3+7+2 12 12 yes A 0
## 2063 41 =4+1+7 12 12 yes A 0
## 2064 41 =4+1+8 13 13 yes A 0
## 2065 41 =4+3+2 9 9 yes A 0
## 2066 41 =4+6+1 11 11 yes A 0
## 2067 41 =4+6+2 12 12 yes A 0
## 2068 41 =4+6+3 13 13 yes A 0
## 2069 41 =5+1+3 9 9 yes A 0
## 2070 41 =5+1+4 10 10 yes A 0
## 2071 41 =5+1+6 12 12 yes A 0
## 2072 41 =5+2+4 11 11 yes A 0
## 2073 41 =5+4+1 10 10 yes A 0
## 2074 41 =6+1+2 9 9 yes A 0
## 2075 41 =6+4+1 11 11 yes A 0
## 2076 41 =6+5+1 12 12 yes A 0
## 2077 41 =7+1+3 11 11 yes A 0
## 2078 41 =7+1+4 12 12 yes A 0
## 2079 41 =7+1+5 13 13 yes A 0
## 2080 41 =7+2+1 10 10 yes A 0
## 2081 41 =8+2+1 11 11 yes A 0
## 2082 41 =8+2+4 14 14 yes A 0
## 2083 41 =3-2-1 0 2 no S -2
## 2084 41 =4-1-3 0 5 no S -5
## 2085 41 =5-2-3 0 1 no S -1
## 2086 41 =5-4-1 0 3 no S -3
## 2087 41 =6-1-5 0 4 no S -4
## 2088 41 =6-2-1 3 0 no S 3
## 2089 41 =6-2-3 1 0 no S 1
## 2090 41 =6-2-4 0 1 no S -1
## 2091 41 =6-3-1 2 0 no S 2
## 2092 41 =7-2-1 4 0 no S 4
## 2093 41 =7-3-4 0 2 no S -2
## 2094 41 =7-4-1 2 0 no S 2
## 2095 41 =7-4-2 1 0 no S 1
## 2096 41 =7-5-2 0 1 no S -1
## 2097 41 =7-6-1 0 2 no S -2
## 2098 41 =8-1-4 3 2 no S 1
## 2099 41 =8-2-1 5 0 no S 5
## 2100 41 =8-2-6 0 1 no S -1
## 2101 41 =8-3-1 4 0 no S 4
## 2102 41 =8-3-4 1 0 no S 1
## 2103 41 =8-5-1 2 0 no S 2
## 2104 41 =8-5-2 1 6 no S -5
## 2105 41 =8-5-3 0 1 no S -1
## 2106 41 =8-7-1 0 4 no S -4
## 2107 41 =9-1-3 5 0 no S 5
## 2108 41 =9-1-5 3 0 no S 3
## 2109 41 =9-1-6 2 4 no S -2
## 2110 41 =9-2-1 6 3 no S 3
## 2111 41 =9-2-7 0 1 no S -1
## 2112 41 =9-3-2 4 0 no S 4
## 2113 41 =9-3-4 2 0 no S 2
## 2114 41 =9-3-5 1 0 no S 1
## 2115 41 =9-3-6 0 2 no S -2
## 2116 41 =9-4-2 3 0 no S 3
## 2117 41 =9-4-5 0 3 no S -3
## 2118 41 =9-6-2 1 5 no S -4
## 2119 41 =9-8-1 0 3 no S -3
## 2120 41 =3-1-2 0 0 yes S 0
## 2121 41 =4-3-1 0 0 yes S 0
## 2122 41 =5-1-4 0 0 yes S 0
## 2123 41 =5-3-2 0 0 yes S 0
## 2124 41 =6-1-2 3 3 yes S 0
## 2125 41 =6-1-3 2 2 yes S 0
## 2126 41 =6-3-2 1 1 yes S 0
## 2127 41 =6-4-2 0 0 yes S 0
## 2128 41 =6-5-1 0 0 yes S 0
## 2129 41 =7-1-2 4 4 yes S 0
## 2130 41 =7-1-4 2 2 yes S 0
## 2131 41 =7-1-6 0 0 yes S 0
## 2132 41 =7-2-4 1 1 yes S 0
## 2133 41 =7-2-5 0 0 yes S 0
## 2134 41 =7-4-3 0 0 yes S 0
## 2135 41 =8-1-2 5 5 yes S 0
## 2136 41 =8-1-3 4 4 yes S 0
## 2137 41 =8-1-5 2 2 yes S 0
## 2138 41 =8-1-7 0 0 yes S 0
## 2139 41 =8-2-5 1 1 yes S 0
## 2140 41 =8-3-5 0 0 yes S 0
## 2141 41 =8-4-1 3 3 yes S 0
## 2142 41 =8-4-3 1 1 yes S 0
## 2143 41 =8-6-2 0 0 yes S 0
## 2144 41 =9-1-2 6 6 yes S 0
## 2145 41 =9-1-8 0 0 yes S 0
## 2146 41 =9-2-3 4 4 yes S 0
## 2147 41 =9-2-4 3 3 yes S 0
## 2148 41 =9-2-6 1 1 yes S 0
## 2149 41 =9-3-1 5 5 yes S 0
## 2150 41 =9-4-3 2 2 yes S 0
## 2151 41 =9-5-1 3 3 yes S 0
## 2152 41 =9-5-3 1 1 yes S 0
## 2153 41 =9-5-4 0 0 yes S 0
## 2154 41 =9-6-1 2 2 yes S 0
## 2155 41 =9-6-3 0 0 yes S 0
## 2156 41 =9-7-2 0 0 yes S 0
## 2157 6 =1+2+5 8 9 no A -1
## 2158 6 =1+3+5 9 11 no A -2
## 2159 6 =1+4+3 8 12 no A -4
## 2160 6 =1+6+3 10 12 no A -2
## 2161 6 =1+9+2 12 11 no A 1
## 2162 6 =1+9+3 13 12 no A 1
## 2163 6 =2+1+9 12 11 no A 1
## 2164 6 =2+3+6 11 10 no A 1
## 2165 6 =2+3+7 12 11 no A 1
## 2166 6 =2+5+6 13 9 no A 4
## 2167 6 =2+7+1 10 12 no A -2
## 2168 6 =2+8+3 13 11 no A 2
## 2169 6 =3+1+5 9 12 no A -3
## 2170 6 =3+1+7 11 12 no A -1
## 2171 6 =3+2+5 10 14 no A -4
## 2172 6 =3+4+2 9 10 no A -1
## 2173 6 =3+5+4 12 10 no A 2
## 2174 6 =3+5+6 14 13 no A 1
## 2175 6 =3+6+2 11 12 no A -1
## 2176 6 =3+7+2 12 8 no A 4
## 2177 6 =4+1+7 12 9 no A 3
## 2178 6 =4+1+8 13 10 no A 3
## 2179 6 =4+3+2 9 10 no A -1
## 2180 6 =4+6+1 11 12 no A -1
## 2181 6 =4+6+2 12 13 no A -1
## 2182 6 =4+6+3 13 12 no A 1
## 2183 6 =5+1+3 9 14 no A -5
## 2184 6 =5+1+4 10 11 no A -1
## 2185 6 =5+1+6 12 8 no A 4
## 2186 6 =5+2+4 11 13 no A -2
## 2187 6 =5+4+1 10 12 no A -2
## 2188 6 =6+1+2 9 13 no A -4
## 2189 6 =6+4+1 11 13 no A -2
## 2190 6 =6+5+1 12 13 no A -1
## 2191 6 =7+1+3 11 9 no A 2
## 2192 6 =7+1+4 12 10 no A 2
## 2193 6 =7+1+5 13 9 no A 4
## 2194 6 =7+2+1 10 11 no A -1
## 2195 6 =8+2+1 11 9 no A 2
## 2196 6 =8+2+4 14 11 no A 3
## 2197 6 =1+2+9 12 12 yes A 0
## 2198 6 =1+3+6 10 10 yes A 0
## 2199 6 =1+5+3 9 9 yes A 0
## 2200 6 =1+6+2 9 9 yes A 0
## 2201 6 =1+7+2 10 10 yes A 0
## 2202 6 =2+3+5 10 10 yes A 0
## 2203 6 =2+4+5 11 11 yes A 0
## 2204 6 =2+6+4 12 12 yes A 0
## 2205 6 =2+7+5 14 14 yes A 0
## 2206 6 =2+8+1 11 11 yes A 0
## 2207 6 =3+1+4 8 8 yes A 0
## 2208 6 =3+2+4 9 9 yes A 0
## 2209 6 =3+2+6 11 11 yes A 0
## 2210 6 =3+7+1 11 11 yes A 0
## 2211 6 =4+1+5 10 10 yes A 0
## 2212 6 =4+1+6 11 11 yes A 0
## 2213 6 =4+2+3 9 9 yes A 0
## 2214 6 =4+2+6 12 12 yes A 0
## 2215 6 =4+2+7 13 13 yes A 0
## 2216 6 =4+5+1 10 10 yes A 0
## 2217 6 =4+5+2 11 11 yes A 0
## 2218 6 =4+7+1 12 12 yes A 0
## 2219 6 =5+1+2 8 8 yes A 0
## 2220 6 =5+3+1 9 9 yes A 0
## 2221 6 =5+3+2 10 10 yes A 0
## 2222 6 =5+3+4 12 12 yes A 0
## 2223 6 =6+1+5 12 12 yes A 0
## 2224 6 =6+2+1 9 9 yes A 0
## 2225 6 =6+2+3 11 11 yes A 0
## 2226 6 =6+4+2 12 12 yes A 0
## 2227 6 =6+4+3 13 13 yes A 0
## 2228 6 =6+5+2 13 13 yes A 0
## 2229 6 =7+2+3 12 12 yes A 0
## 2230 6 =7+3+1 11 11 yes A 0
## 2231 6 =7+3+2 12 12 yes A 0
## 2232 6 =7+3+4 14 14 yes A 0
## 2233 6 =8+2+3 13 13 yes A 0
## 2234 6 =9+1+2 12 12 yes A 0
## 2235 6 =9+1+3 13 13 yes A 0
## 2236 6 =9+3+1 13 13 yes A 0
## 2237 6 =3-1-2 0 4 no S -4
## 2238 6 =4-3-1 0 2 no S -2
## 2239 6 =5-1-4 0 3 no S -3
## 2240 6 =5-3-2 0 1 no S -1
## 2241 6 =6-1-2 3 0 no S 3
## 2242 6 =6-1-3 2 0 no S 2
## 2243 6 =6-3-2 1 4 no S -3
## 2244 6 =6-4-2 0 1 no S -1
## 2245 6 =6-5-1 0 3 no S -3
## 2246 6 =7-1-2 4 0 no S 4
## 2247 6 =7-1-4 2 0 no S 2
## 2248 6 =7-1-6 0 3 no S -3
## 2249 6 =7-2-4 1 0 no S 1
## 2250 6 =7-2-5 0 1 no S -1
## 2251 6 =7-4-3 0 1 no S -1
## 2252 6 =8-1-2 5 0 no S 5
## 2253 6 =8-1-3 4 0 no S 4
## 2254 6 =8-1-5 2 0 no S 2
## 2255 6 =8-1-7 0 5 no S -5
## 2256 6 =8-2-5 1 6 no S -5
## 2257 6 =8-3-5 0 2 no S -2
## 2258 6 =8-4-1 3 0 no S 3
## 2259 6 =8-4-3 1 0 no S 1
## 2260 6 =8-6-2 0 5 no S -5
## 2261 6 =9-1-2 6 3 no S 3
## 2262 6 =9-1-8 0 2 no S -2
## 2263 6 =9-2-3 4 0 no S 4
## 2264 6 =9-2-4 3 0 no S 3
## 2265 6 =9-2-6 1 0 no S 1
## 2266 6 =9-3-1 5 0 no S 5
## 2267 6 =9-4-3 2 1 no S 1
## 2268 6 =9-5-1 3 2 no S 1
## 2269 6 =9-5-3 1 0 no S 1
## 2270 6 =9-5-4 0 2 no S -2
## 2271 6 =9-6-1 2 0 no S 2
## 2272 6 =9-6-3 0 1 no S -1
## 2273 6 =9-7-2 0 4 no S -4
## 2274 6 =3-2-1 0 0 yes S 0
## 2275 6 =4-1-3 0 0 yes S 0
## 2276 6 =5-2-3 0 0 yes S 0
## 2277 6 =5-4-1 0 0 yes S 0
## 2278 6 =6-1-5 0 0 yes S 0
## 2279 6 =6-2-1 3 3 yes S 0
## 2280 6 =6-2-3 1 1 yes S 0
## 2281 6 =6-2-4 0 0 yes S 0
## 2282 6 =6-3-1 2 2 yes S 0
## 2283 6 =7-2-1 4 4 yes S 0
## 2284 6 =7-3-4 0 0 yes S 0
## 2285 6 =7-4-1 2 2 yes S 0
## 2286 6 =7-4-2 1 1 yes S 0
## 2287 6 =7-5-2 0 0 yes S 0
## 2288 6 =7-6-1 0 0 yes S 0
## 2289 6 =8-1-4 3 3 yes S 0
## 2290 6 =8-2-1 5 5 yes S 0
## 2291 6 =8-2-6 0 0 yes S 0
## 2292 6 =8-3-1 4 4 yes S 0
## 2293 6 =8-3-4 1 1 yes S 0
## 2294 6 =8-5-1 2 2 yes S 0
## 2295 6 =8-5-2 1 1 yes S 0
## 2296 6 =8-5-3 0 0 yes S 0
## 2297 6 =8-7-1 0 0 yes S 0
## 2298 6 =9-1-3 5 5 yes S 0
## 2299 6 =9-1-5 3 3 yes S 0
## 2300 6 =9-1-6 2 2 yes S 0
## 2301 6 =9-2-1 6 6 yes S 0
## 2302 6 =9-2-7 0 0 yes S 0
## 2303 6 =9-3-2 4 4 yes S 0
## 2304 6 =9-3-4 2 2 yes S 0
## 2305 6 =9-3-5 1 1 yes S 0
## 2306 6 =9-3-6 0 0 yes S 0
## 2307 6 =9-4-2 3 3 yes S 0
## 2308 6 =9-4-5 0 0 yes S 0
## 2309 6 =9-6-2 1 1 yes S 0
## 2310 6 =9-8-1 0 0 yes S 0
## 2311 7 =1+2+5 8 9 no A -1
## 2312 7 =1+3+5 9 11 no A -2
## 2313 7 =1+4+3 8 12 no A -4
## 2314 7 =1+6+3 10 12 no A -2
## 2315 7 =1+9+2 12 11 no A 1
## 2316 7 =1+9+3 13 12 no A 1
## 2317 7 =2+1+9 12 11 no A 1
## 2318 7 =2+3+6 11 10 no A 1
## 2319 7 =2+3+7 12 11 no A 1
## 2320 7 =2+5+6 13 9 no A 4
## 2321 7 =2+7+1 10 12 no A -2
## 2322 7 =2+8+3 13 11 no A 2
## 2323 7 =3+1+5 9 12 no A -3
## 2324 7 =3+1+7 11 12 no A -1
## 2325 7 =3+2+5 10 14 no A -4
## 2326 7 =3+4+2 9 10 no A -1
## 2327 7 =3+5+4 12 10 no A 2
## 2328 7 =3+5+6 14 13 no A 1
## 2329 7 =3+6+2 11 12 no A -1
## 2330 7 =3+7+2 12 8 no A 4
## 2331 7 =4+1+7 12 9 no A 3
## 2332 7 =4+1+8 13 10 no A 3
## 2333 7 =4+3+2 9 10 no A -1
## 2334 7 =4+6+1 11 12 no A -1
## 2335 7 =4+6+2 12 13 no A -1
## 2336 7 =4+6+3 13 12 no A 1
## 2337 7 =5+1+3 9 14 no A -5
## 2338 7 =5+1+4 10 11 no A -1
## 2339 7 =5+1+6 12 8 no A 4
## 2340 7 =5+2+4 11 13 no A -2
## 2341 7 =5+4+1 10 12 no A -2
## 2342 7 =6+1+2 9 13 no A -4
## 2343 7 =6+4+1 11 13 no A -2
## 2344 7 =6+5+1 12 13 no A -1
## 2345 7 =7+1+3 11 9 no A 2
## 2346 7 =7+1+4 12 10 no A 2
## 2347 7 =7+1+5 13 9 no A 4
## 2348 7 =7+2+1 10 11 no A -1
## 2349 7 =8+2+1 11 9 no A 2
## 2350 7 =8+2+4 14 11 no A 3
## 2351 7 =1+2+9 12 12 yes A 0
## 2352 7 =1+3+6 10 10 yes A 0
## 2353 7 =1+5+3 9 9 yes A 0
## 2354 7 =1+6+2 9 9 yes A 0
## 2355 7 =1+7+2 10 10 yes A 0
## 2356 7 =2+3+5 10 10 yes A 0
## 2357 7 =2+4+5 11 11 yes A 0
## 2358 7 =2+6+4 12 12 yes A 0
## 2359 7 =2+7+5 14 14 yes A 0
## 2360 7 =2+8+1 11 11 yes A 0
## 2361 7 =3+1+4 8 8 yes A 0
## 2362 7 =3+2+4 9 9 yes A 0
## 2363 7 =3+2+6 11 11 yes A 0
## 2364 7 =3+7+1 11 11 yes A 0
## 2365 7 =4+1+5 10 10 yes A 0
## 2366 7 =4+1+6 11 11 yes A 0
## 2367 7 =4+2+3 9 9 yes A 0
## 2368 7 =4+2+6 12 12 yes A 0
## 2369 7 =4+2+7 13 13 yes A 0
## 2370 7 =4+5+1 10 10 yes A 0
## 2371 7 =4+5+2 11 11 yes A 0
## 2372 7 =4+7+1 12 12 yes A 0
## 2373 7 =5+1+2 8 8 yes A 0
## 2374 7 =5+3+1 9 9 yes A 0
## 2375 7 =5+3+2 10 10 yes A 0
## 2376 7 =5+3+4 12 12 yes A 0
## 2377 7 =6+1+5 12 12 yes A 0
## 2378 7 =6+2+1 9 9 yes A 0
## 2379 7 =6+2+3 11 11 yes A 0
## 2380 7 =6+4+2 12 12 yes A 0
## 2381 7 =6+4+3 13 13 yes A 0
## 2382 7 =6+5+2 13 13 yes A 0
## 2383 7 =7+2+3 12 12 yes A 0
## 2384 7 =7+3+1 11 11 yes A 0
## 2385 7 =7+3+2 12 12 yes A 0
## 2386 7 =7+3+4 14 14 yes A 0
## 2387 7 =8+2+3 13 13 yes A 0
## 2388 7 =9+1+2 12 12 yes A 0
## 2389 7 =9+1+3 13 13 yes A 0
## 2390 7 =9+3+1 13 13 yes A 0
## 2391 7 =3-1-2 0 4 no S -4
## 2392 7 =4-3-1 0 2 no S -2
## 2393 7 =5-1-4 0 3 no S -3
## 2394 7 =5-3-2 0 1 no S -1
## 2395 7 =6-1-2 3 0 no S 3
## 2396 7 =6-1-3 2 0 no S 2
## 2397 7 =6-3-2 1 4 no S -3
## 2398 7 =6-4-2 0 1 no S -1
## 2399 7 =6-5-1 0 3 no S -3
## 2400 7 =7-1-2 4 0 no S 4
## 2401 7 =7-1-4 2 0 no S 2
## 2402 7 =7-1-6 0 3 no S -3
## 2403 7 =7-2-4 1 0 no S 1
## 2404 7 =7-2-5 0 1 no S -1
## 2405 7 =7-4-3 0 1 no S -1
## 2406 7 =8-1-2 5 0 no S 5
## 2407 7 =8-1-3 4 0 no S 4
## 2408 7 =8-1-5 2 0 no S 2
## 2409 7 =8-1-7 0 5 no S -5
## 2410 7 =8-2-5 1 6 no S -5
## 2411 7 =8-3-5 0 2 no S -2
## 2412 7 =8-4-1 3 0 no S 3
## 2413 7 =8-4-3 1 0 no S 1
## 2414 7 =8-6-2 0 5 no S -5
## 2415 7 =9-1-2 6 3 no S 3
## 2416 7 =9-1-8 0 2 no S -2
## 2417 7 =9-2-3 4 0 no S 4
## 2418 7 =9-2-4 3 0 no S 3
## 2419 7 =9-2-6 1 0 no S 1
## 2420 7 =9-3-1 5 0 no S 5
## 2421 7 =9-4-3 2 1 no S 1
## 2422 7 =9-5-1 3 2 no S 1
## 2423 7 =9-5-3 1 0 no S 1
## 2424 7 =9-5-4 0 2 no S -2
## 2425 7 =9-6-1 2 0 no S 2
## 2426 7 =9-6-3 0 1 no S -1
## 2427 7 =9-7-2 0 4 no S -4
## 2428 7 =3-2-1 0 0 yes S 0
## 2429 7 =4-1-3 0 0 yes S 0
## 2430 7 =5-2-3 0 0 yes S 0
## 2431 7 =5-4-1 0 0 yes S 0
## 2432 7 =6-1-5 0 0 yes S 0
## 2433 7 =6-2-1 3 3 yes S 0
## 2434 7 =6-2-3 1 1 yes S 0
## 2435 7 =6-2-4 0 0 yes S 0
## 2436 7 =6-3-1 2 2 yes S 0
## 2437 7 =7-2-1 4 4 yes S 0
## 2438 7 =7-3-4 0 0 yes S 0
## 2439 7 =7-4-1 2 2 yes S 0
## 2440 7 =7-4-2 1 1 yes S 0
## 2441 7 =7-5-2 0 0 yes S 0
## 2442 7 =7-6-1 0 0 yes S 0
## 2443 7 =8-1-4 3 3 yes S 0
## 2444 7 =8-2-1 5 5 yes S 0
## 2445 7 =8-2-6 0 0 yes S 0
## 2446 7 =8-3-1 4 4 yes S 0
## 2447 7 =8-3-4 1 1 yes S 0
## 2448 7 =8-5-1 2 2 yes S 0
## 2449 7 =8-5-2 1 1 yes S 0
## 2450 7 =8-5-3 0 0 yes S 0
## 2451 7 =8-7-1 0 0 yes S 0
## 2452 7 =9-1-3 5 5 yes S 0
## 2453 7 =9-1-5 3 3 yes S 0
## 2454 7 =9-1-6 2 2 yes S 0
## 2455 7 =9-2-1 6 6 yes S 0
## 2456 7 =9-2-7 0 0 yes S 0
## 2457 7 =9-3-2 4 4 yes S 0
## 2458 7 =9-3-4 2 2 yes S 0
## 2459 7 =9-3-5 1 1 yes S 0
## 2460 7 =9-3-6 0 0 yes S 0
## 2461 7 =9-4-2 3 3 yes S 0
## 2462 7 =9-4-5 0 0 yes S 0
## 2463 7 =9-6-2 1 1 yes S 0
## 2464 7 =9-8-1 0 0 yes S 0
## 2465 9 =1+2+5 8 9 no A -1
## 2466 9 =1+3+5 9 11 no A -2
## 2467 9 =1+4+3 8 12 no A -4
## 2468 9 =1+6+3 10 12 no A -2
## 2469 9 =1+9+2 12 11 no A 1
## 2470 9 =1+9+3 13 12 no A 1
## 2471 9 =2+1+9 12 11 no A 1
## 2472 9 =2+3+6 11 10 no A 1
## 2473 9 =2+3+7 12 11 no A 1
## 2474 9 =2+5+6 13 9 no A 4
## 2475 9 =2+7+1 10 12 no A -2
## 2476 9 =2+8+3 13 11 no A 2
## 2477 9 =3+1+5 9 12 no A -3
## 2478 9 =3+1+7 11 12 no A -1
## 2479 9 =3+2+5 10 14 no A -4
## 2480 9 =3+4+2 9 10 no A -1
## 2481 9 =3+5+4 12 10 no A 2
## 2482 9 =3+5+6 14 13 no A 1
## 2483 9 =3+6+2 11 12 no A -1
## 2484 9 =3+7+2 12 8 no A 4
## 2485 9 =4+1+7 12 9 no A 3
## 2486 9 =4+1+8 13 10 no A 3
## 2487 9 =4+3+2 9 10 no A -1
## 2488 9 =4+6+1 11 12 no A -1
## 2489 9 =4+6+2 12 13 no A -1
## 2490 9 =4+6+3 13 12 no A 1
## 2491 9 =5+1+3 9 14 no A -5
## 2492 9 =5+1+4 10 11 no A -1
## 2493 9 =5+1+6 12 8 no A 4
## 2494 9 =5+2+4 11 13 no A -2
## 2495 9 =5+4+1 10 12 no A -2
## 2496 9 =6+1+2 9 13 no A -4
## 2497 9 =6+4+1 11 13 no A -2
## 2498 9 =6+5+1 12 13 no A -1
## 2499 9 =7+1+3 11 9 no A 2
## 2500 9 =7+1+4 12 10 no A 2
## 2501 9 =7+1+5 13 9 no A 4
## 2502 9 =7+2+1 10 11 no A -1
## 2503 9 =8+2+1 11 9 no A 2
## 2504 9 =8+2+4 14 11 no A 3
## 2505 9 =1+2+9 12 12 yes A 0
## 2506 9 =1+3+6 10 10 yes A 0
## 2507 9 =1+5+3 9 9 yes A 0
## 2508 9 =1+6+2 9 9 yes A 0
## 2509 9 =1+7+2 10 10 yes A 0
## 2510 9 =2+3+5 10 10 yes A 0
## 2511 9 =2+4+5 11 11 yes A 0
## 2512 9 =2+6+4 12 12 yes A 0
## 2513 9 =2+7+5 14 14 yes A 0
## 2514 9 =2+8+1 11 11 yes A 0
## 2515 9 =3+1+4 8 8 yes A 0
## 2516 9 =3+2+4 9 9 yes A 0
## 2517 9 =3+2+6 11 11 yes A 0
## 2518 9 =3+7+1 11 11 yes A 0
## 2519 9 =4+1+5 10 10 yes A 0
## 2520 9 =4+1+6 11 11 yes A 0
## 2521 9 =4+2+3 9 9 yes A 0
## 2522 9 =4+2+6 12 12 yes A 0
## 2523 9 =4+2+7 13 13 yes A 0
## 2524 9 =4+5+1 10 10 yes A 0
## 2525 9 =4+5+2 11 11 yes A 0
## 2526 9 =4+7+1 12 12 yes A 0
## 2527 9 =5+1+2 8 8 yes A 0
## 2528 9 =5+3+1 9 9 yes A 0
## 2529 9 =5+3+2 10 10 yes A 0
## 2530 9 =5+3+4 12 12 yes A 0
## 2531 9 =6+1+5 12 12 yes A 0
## 2532 9 =6+2+1 9 9 yes A 0
## 2533 9 =6+2+3 11 11 yes A 0
## 2534 9 =6+4+2 12 12 yes A 0
## 2535 9 =6+4+3 13 13 yes A 0
## 2536 9 =6+5+2 13 13 yes A 0
## 2537 9 =7+2+3 12 12 yes A 0
## 2538 9 =7+3+1 11 11 yes A 0
## 2539 9 =7+3+2 12 12 yes A 0
## 2540 9 =7+3+4 14 14 yes A 0
## 2541 9 =8+2+3 13 13 yes A 0
## 2542 9 =9+1+2 12 12 yes A 0
## 2543 9 =9+1+3 13 13 yes A 0
## 2544 9 =9+3+1 13 13 yes A 0
## 2545 9 =3-1-2 0 4 no S -4
## 2546 9 =4-3-1 0 2 no S -2
## 2547 9 =5-1-4 0 3 no S -3
## 2548 9 =5-3-2 0 1 no S -1
## 2549 9 =6-1-2 3 0 no S 3
## 2550 9 =6-1-3 2 0 no S 2
## 2551 9 =6-3-2 1 4 no S -3
## 2552 9 =6-4-2 0 1 no S -1
## 2553 9 =6-5-1 0 3 no S -3
## 2554 9 =7-1-2 4 0 no S 4
## 2555 9 =7-1-4 2 0 no S 2
## 2556 9 =7-1-6 0 3 no S -3
## 2557 9 =7-2-4 1 0 no S 1
## 2558 9 =7-2-5 0 1 no S -1
## 2559 9 =7-4-3 0 1 no S -1
## 2560 9 =8-1-2 5 0 no S 5
## 2561 9 =8-1-3 4 0 no S 4
## 2562 9 =8-1-5 2 0 no S 2
## 2563 9 =8-1-7 0 5 no S -5
## 2564 9 =8-2-5 1 6 no S -5
## 2565 9 =8-3-5 0 2 no S -2
## 2566 9 =8-4-1 3 0 no S 3
## 2567 9 =8-4-3 1 0 no S 1
## 2568 9 =8-6-2 0 5 no S -5
## 2569 9 =9-1-2 6 3 no S 3
## 2570 9 =9-1-8 0 2 no S -2
## 2571 9 =9-2-3 4 0 no S 4
## 2572 9 =9-2-4 3 0 no S 3
## 2573 9 =9-2-6 1 0 no S 1
## 2574 9 =9-3-1 5 0 no S 5
## 2575 9 =9-4-3 2 1 no S 1
## 2576 9 =9-5-1 3 2 no S 1
## 2577 9 =9-5-3 1 0 no S 1
## 2578 9 =9-5-4 0 2 no S -2
## 2579 9 =9-6-1 2 0 no S 2
## 2580 9 =9-6-3 0 1 no S -1
## 2581 9 =9-7-2 0 4 no S -4
## 2582 9 =3-2-1 0 0 yes S 0
## 2583 9 =4-1-3 0 0 yes S 0
## 2584 9 =5-2-3 0 0 yes S 0
## 2585 9 =5-4-1 0 0 yes S 0
## 2586 9 =6-1-5 0 0 yes S 0
## 2587 9 =6-2-1 3 3 yes S 0
## 2588 9 =6-2-3 1 1 yes S 0
## 2589 9 =6-2-4 0 0 yes S 0
## 2590 9 =6-3-1 2 2 yes S 0
## 2591 9 =7-2-1 4 4 yes S 0
## 2592 9 =7-3-4 0 0 yes S 0
## 2593 9 =7-4-1 2 2 yes S 0
## 2594 9 =7-4-2 1 1 yes S 0
## 2595 9 =7-5-2 0 0 yes S 0
## 2596 9 =7-6-1 0 0 yes S 0
## 2597 9 =8-1-4 3 3 yes S 0
## 2598 9 =8-2-1 5 5 yes S 0
## 2599 9 =8-2-6 0 0 yes S 0
## 2600 9 =8-3-1 4 4 yes S 0
## 2601 9 =8-3-4 1 1 yes S 0
## 2602 9 =8-5-1 2 2 yes S 0
## 2603 9 =8-5-2 1 1 yes S 0
## 2604 9 =8-5-3 0 0 yes S 0
## 2605 9 =8-7-1 0 0 yes S 0
## 2606 9 =9-1-3 5 5 yes S 0
## 2607 9 =9-1-5 3 3 yes S 0
## 2608 9 =9-1-6 2 2 yes S 0
## 2609 9 =9-2-1 6 6 yes S 0
## 2610 9 =9-2-7 0 0 yes S 0
## 2611 9 =9-3-2 4 4 yes S 0
## 2612 9 =9-3-4 2 2 yes S 0
## 2613 9 =9-3-5 1 1 yes S 0
## 2614 9 =9-3-6 0 0 yes S 0
## 2615 9 =9-4-2 3 3 yes S 0
## 2616 9 =9-4-5 0 0 yes S 0
## 2617 9 =9-6-2 1 1 yes S 0
## 2618 9 =9-8-1 0 0 yes S 0
## counterbalance rt presentation.time subjective.test objective.test
## 1 1 597 1700 0 0.5873016
## 2 1 699 1700 0 0.5873016
## 3 1 700 1700 0 0.5873016
## 4 1 628 1700 0 0.5873016
## 5 1 768 1700 0 0.5873016
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## 12 1 841 1700 0 0.5873016
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## 2618 1 736 1700 0 0.4375000Replicating Sklar et al.’s analysis
Sklar et al. show a plot of a “facilitation effect” - the amount faster you are for prime-congruent naming compared with prime-incongruent naming. They then show plot this difference score for the subtraction condition and for the two prime times they tested. Try to reproduce this analysis. NOTE TO SELF: Recreate graph in the paper.
HINT: first take averages within subjects, then compute your error bars across participants, using the ci function (defined above). Sklar et al. use SEM (and do it incorectly, actually), but CI is more useful for “inference by eye” as discussed in class.
HINT 2: remember that in class, we reviewed the common need to group_by and summarise twice, the first time to get means for each subject, the second time to compute statistics across subjects.
HINT 3: The final summary dataset should have 4 rows and 5 columns (2 columns for the two conditions and 3 columns for the outcome: reaction time, ci, and n).
ds.resta <- ds[ds$operand=="S",]
cd <- ds.resta %>%
group_by(subid, congruent) %>%
summarise(mean = mean(rt, na.rm = T))
cdancho <- cd %>%
spread(congruent, mean)
cdancho$congruentd <- cdancho$no - cdancho$yes
ds.diferencia <- merge(ds.resta, cdancho, by = "subid")
sub.p <- ds.diferencia %>%
group_by(presentation.time) %>%
summarise(mean = mean(congruentd), s = sd(congruentd) / sqrt(n()),
ci95 = 1.96*s)
sub.p## # A tibble: 2 x 4
## presentation.time mean s ci95
## <fct> <dbl> <dbl> <dbl>
## 1 1700 21.0 0.683 1.34
## 2 2000 9.98 0.488 0.956Now plot this summary, giving more or less the bar plot that Sklar et al. gave (though I would keep operation as a variable here. Make sure you get some error bars on there (e.g. geom_errorbar or geom_linerange).
sum.plot <- ggplot(sub.p, aes(x=presentation.time, y=mean)) +
geom_bar(position = position_dodge(), stat = "identity",
col="gray",
fill="gray") +
geom_errorbar(aes(ymin = mean-s, ymax = mean+s),
size=2,
width=.1,
position = position_dodge(.1),
col="blue") +
ylim(c(0,30)) +
xlab("Presentation time") +
ylab("Difference in response times") +
ggtitle("Facilitation Effects by Presentation Time") +
theme_bw(base_size = 10)
sum.plot
What do you see here? How close is it to what Sklar et al. report? How do you interpret these data?
I reproduce the same graph that it is in the paper, but I do not quiet understand what they did incorrectly on the paper. I also do not have specially clear how to compare this results. I could benefit from talking through this results and final question. Let me know if you guys have time.