input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
499+866
Target:
| Input:
499+866
Target:
<scratch>
[4,9,9] has 3 digits.
[8,6,6] has 3 digits.
[4,9,9] + [8,6,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[4,9] + [8,6] , A=[5] , C=1 , 9+6+1=16 , A->6 , C->1
[4] + [8] , A=[6,5] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,6,5] C=1 , END
</scratch>
1365
| 1365 |
Input:
20+149
Target:
| Input:
20+149
Target:
<scratch>
[2,0] has 2 digits.
[1,4,9] has 3 digits.
[2,0] + [1,4,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[2] + [1,4] , A=[9] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [1] , A=[6,9] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,6,9] C=0 , END
</scratch>
169
| 169 |
Input:
518+682
Target:
| Input:
518+682
Target:
<scratch>
[5,1,8] has 3 digits.
[6,8,2] has 3 digits.
[5,1,8] + [6,8,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[5,1] + [6,8] , A=[0] , C=1 , 1+8+1=10 , A->0 , C->1
[5] + [6] , A=[0,0] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,0,0] C=1 , END
</scratch>
1200
| 1200 |
Input:
463+205
Target:
| Input:
463+205
Target:
<scratch>
[4,6,3] has 3 digits.
[2,0,5] has 3 digits.
[4,6,3] + [2,0,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[4,6] + [2,0] , A=[8] , C=0 , 6+0+0=6 , A->6 , C->0
[4] + [2] , A=[6,8] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,6,8] C=0 , END
</scratch>
668
| 668 |
Input:
420+502
Target:
| Input:
420+502
Target:
<scratch>
[4,2,0] has 3 digits.
[5,0,2] has 3 digits.
[4,2,0] + [5,0,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[4,2] + [5,0] , A=[2] , C=0 , 2+0+0=2 , A->2 , C->0
[4] + [5] , A=[2,2] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,2,2] C=0 , END
</scratch>
922
| 922 |
Input:
577+936
Target:
| Input:
577+936
Target:
<scratch>
[5,7,7] has 3 digits.
[9,3,6] has 3 digits.
[5,7,7] + [9,3,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[5,7] + [9,3] , A=[3] , C=1 , 7+3+1=11 , A->1 , C->1
[5] + [9] , A=[1,3] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,1,3] C=1 , END
</scratch>
1513
| 1513 |
Input:
531+23
Target:
| Input:
531+23
Target:
<scratch>
[5,3,1] has 3 digits.
[2,3] has 2 digits.
[5,3,1] + [2,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[5,3] + [2] , A=[4] , C=0 , 3+2+0=5 , A->5 , C->0
[5] + [] , A=[5,4] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,5,4] C=0 , END
</scratch>
554
| 554 |
Input:
122+863
Target:
| Input:
122+863
Target:
<scratch>
[1,2,2] has 3 digits.
[8,6,3] has 3 digits.
[1,2,2] + [8,6,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,2] + [8,6] , A=[5] , C=0 , 2+6+0=8 , A->8 , C->0
[1] + [8] , A=[8,5] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,8,5] C=0 , END
</scratch>
985
| 985 |
Input:
243+769
Target:
| Input:
243+769
Target:
<scratch>
[2,4,3] has 3 digits.
[7,6,9] has 3 digits.
[2,4,3] + [7,6,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[2,4] + [7,6] , A=[2] , C=1 , 4+6+1=11 , A->1 , C->1
[2] + [7] , A=[1,2] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,1,2] C=1 , END
</scratch>
1012
| 1012 |
Input:
620+241
Target:
| Input:
620+241
Target:
<scratch>
[6,2,0] has 3 digits.
[2,4,1] has 3 digits.
[6,2,0] + [2,4,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[6,2] + [2,4] , A=[1] , C=0 , 2+4+0=6 , A->6 , C->0
[6] + [2] , A=[6,1] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,6,1] C=0 , END
</scratch>
861
| 861 |
Input:
122+230
Target:
| Input:
122+230
Target:
<scratch>
[1,2,2] has 3 digits.
[2,3,0] has 3 digits.
[1,2,2] + [2,3,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[1,2] + [2,3] , A=[2] , C=0 , 2+3+0=5 , A->5 , C->0
[1] + [2] , A=[5,2] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,5,2] C=0 , END
</scratch>
352
| 352 |
Input:
640+122
Target:
| Input:
640+122
Target:
<scratch>
[6,4,0] has 3 digits.
[1,2,2] has 3 digits.
[6,4,0] + [1,2,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[6,4] + [1,2] , A=[2] , C=0 , 4+2+0=6 , A->6 , C->0
[6] + [1] , A=[6,2] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,6,2] C=0 , END
</scratch>
762
| 762 |
Input:
362+515
Target:
| Input:
362+515
Target:
<scratch>
[3,6,2] has 3 digits.
[5,1,5] has 3 digits.
[3,6,2] + [5,1,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[3,6] + [5,1] , A=[7] , C=0 , 6+1+0=7 , A->7 , C->0
[3] + [5] , A=[7,7] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,7,7] C=0 , END
</scratch>
877
| 877 |
Input:
700+246
Target:
| Input:
700+246
Target:
<scratch>
[7,0,0] has 3 digits.
[2,4,6] has 3 digits.
[7,0,0] + [2,4,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[7,0] + [2,4] , A=[6] , C=0 , 0+4+0=4 , A->4 , C->0
[7] + [2] , A=[4,6] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,4,6] C=0 , END
</scratch>
946
| 946 |
Input:
787+649
Target:
| Input:
787+649
Target:
<scratch>
[7,8,7] has 3 digits.
[6,4,9] has 3 digits.
[7,8,7] + [6,4,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[7,8] + [6,4] , A=[6] , C=1 , 8+4+1=13 , A->3 , C->1
[7] + [6] , A=[3,6] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,3,6] C=1 , END
</scratch>
1436
| 1436 |
Input:
259+872
Target:
| Input:
259+872
Target:
<scratch>
[2,5,9] has 3 digits.
[8,7,2] has 3 digits.
[2,5,9] + [8,7,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[2,5] + [8,7] , A=[1] , C=1 , 5+7+1=13 , A->3 , C->1
[2] + [8] , A=[3,1] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,3,1] C=1 , END
</scratch>
1131
| 1131 |
Input:
10+955
Target:
| Input:
10+955
Target:
<scratch>
[1,0] has 2 digits.
[9,5,5] has 3 digits.
[1,0] + [9,5,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[1] + [9,5] , A=[5] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [9] , A=[6,5] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,6,5] C=0 , END
</scratch>
965
| 965 |
Input:
258+864
Target:
| Input:
258+864
Target:
<scratch>
[2,5,8] has 3 digits.
[8,6,4] has 3 digits.
[2,5,8] + [8,6,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[2,5] + [8,6] , A=[2] , C=1 , 5+6+1=12 , A->2 , C->1
[2] + [8] , A=[2,2] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,2,2] C=1 , END
</scratch>
1122
| 1122 |
Input:
684+469
Target:
| Input:
684+469
Target:
<scratch>
[6,8,4] has 3 digits.
[4,6,9] has 3 digits.
[6,8,4] + [4,6,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[6,8] + [4,6] , A=[3] , C=1 , 8+6+1=15 , A->5 , C->1
[6] + [4] , A=[5,3] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,5,3] C=1 , END
</scratch>
1153
| 1153 |
Input:
296+744
Target:
| Input:
296+744
Target:
<scratch>
[2,9,6] has 3 digits.
[7,4,4] has 3 digits.
[2,9,6] + [7,4,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[2,9] + [7,4] , A=[0] , C=1 , 9+4+1=14 , A->4 , C->1
[2] + [7] , A=[4,0] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,4,0] C=1 , END
</scratch>
1040
| 1040 |
Input:
957+63
Target:
| Input:
957+63
Target:
<scratch>
[9,5,7] has 3 digits.
[6,3] has 2 digits.
[9,5,7] + [6,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,5] + [6] , A=[0] , C=1 , 5+6+1=12 , A->2 , C->1
[9] + [] , A=[2,0] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,2,0] C=1 , END
</scratch>
1020
| 1020 |
Input:
996+4
Target:
| Input:
996+4
Target:
<scratch>
[9,9,6] has 3 digits.
[4] has 1 digits.
[9,9,6] + [4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[9,9] + [] , A=[0] , C=1 , 9+0+1=10 , A->0 , C->1
[9] + [] , A=[0,0] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,0,0] C=1 , END
</scratch>
1000
| 1000 |
Input:
782+212
Target:
| Input:
782+212
Target:
<scratch>
[7,8,2] has 3 digits.
[2,1,2] has 3 digits.
[7,8,2] + [2,1,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[7,8] + [2,1] , A=[4] , C=0 , 8+1+0=9 , A->9 , C->0
[7] + [2] , A=[9,4] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,4] C=0 , END
</scratch>
994
| 994 |
Input:
152+443
Target:
| Input:
152+443
Target:
<scratch>
[1,5,2] has 3 digits.
[4,4,3] has 3 digits.
[1,5,2] + [4,4,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,5] + [4,4] , A=[5] , C=0 , 5+4+0=9 , A->9 , C->0
[1] + [4] , A=[9,5] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,9,5] C=0 , END
</scratch>
595
| 595 |
Input:
894+397
Target:
| Input:
894+397
Target:
<scratch>
[8,9,4] has 3 digits.
[3,9,7] has 3 digits.
[8,9,4] + [3,9,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8,9] + [3,9] , A=[1] , C=1 , 9+9+1=19 , A->9 , C->1
[8] + [3] , A=[9,1] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,9,1] C=1 , END
</scratch>
1291
| 1291 |
Input:
100+123
Target:
| Input:
100+123
Target:
<scratch>
[1,0,0] has 3 digits.
[1,2,3] has 3 digits.
[1,0,0] + [1,2,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[1,0] + [1,2] , A=[3] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [1] , A=[2,3] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,2,3] C=0 , END
</scratch>
223
| 223 |
Input:
0+538
Target:
| Input:
0+538
Target:
<scratch>
[0] has 1 digits.
[5,3,8] has 3 digits.
[0] + [5,3,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [5,3] , A=[8] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [5] , A=[3,8] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,3,8] C=0 , END
</scratch>
538
| 538 |
Input:
996+339
Target:
| Input:
996+339
Target:
<scratch>
[9,9,6] has 3 digits.
[3,3,9] has 3 digits.
[9,9,6] + [3,3,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[9,9] + [3,3] , A=[5] , C=1 , 9+3+1=13 , A->3 , C->1
[9] + [3] , A=[3,5] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,3,5] C=1 , END
</scratch>
1335
| 1335 |
Input:
495+758
Target:
| Input:
495+758
Target:
<scratch>
[4,9,5] has 3 digits.
[7,5,8] has 3 digits.
[4,9,5] + [7,5,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[4,9] + [7,5] , A=[3] , C=1 , 9+5+1=15 , A->5 , C->1
[4] + [7] , A=[5,3] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,5,3] C=1 , END
</scratch>
1253
| 1253 |
Input:
23+250
Target:
| Input:
23+250
Target:
<scratch>
[2,3] has 2 digits.
[2,5,0] has 3 digits.
[2,3] + [2,5,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[2] + [2,5] , A=[3] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [2] , A=[7,3] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,7,3] C=0 , END
</scratch>
273
| 273 |
Input:
408+696
Target:
| Input:
408+696
Target:
<scratch>
[4,0,8] has 3 digits.
[6,9,6] has 3 digits.
[4,0,8] + [6,9,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[4,0] + [6,9] , A=[4] , C=1 , 0+9+1=10 , A->0 , C->1
[4] + [6] , A=[0,4] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,0,4] C=1 , END
</scratch>
1104
| 1104 |
Input:
619+230
Target:
| Input:
619+230
Target:
<scratch>
[6,1,9] has 3 digits.
[2,3,0] has 3 digits.
[6,1,9] + [2,3,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[6,1] + [2,3] , A=[9] , C=0 , 1+3+0=4 , A->4 , C->0
[6] + [2] , A=[4,9] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,4,9] C=0 , END
</scratch>
849
| 849 |
Input:
969+63
Target:
| Input:
969+63
Target:
<scratch>
[9,6,9] has 3 digits.
[6,3] has 2 digits.
[9,6,9] + [6,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[9,6] + [6] , A=[2] , C=1 , 6+6+1=13 , A->3 , C->1
[9] + [] , A=[3,2] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,3,2] C=1 , END
</scratch>
1032
| 1032 |
Input:
963+267
Target:
| Input:
963+267
Target:
<scratch>
[9,6,3] has 3 digits.
[2,6,7] has 3 digits.
[9,6,3] + [2,6,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[9,6] + [2,6] , A=[0] , C=1 , 6+6+1=13 , A->3 , C->1
[9] + [2] , A=[3,0] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,3,0] C=1 , END
</scratch>
1230
| 1230 |
Input:
321+48
Target:
| Input:
321+48
Target:
<scratch>
[3,2,1] has 3 digits.
[4,8] has 2 digits.
[3,2,1] + [4,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[3,2] + [4] , A=[9] , C=0 , 2+4+0=6 , A->6 , C->0
[3] + [] , A=[6,9] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,6,9] C=0 , END
</scratch>
369
| 369 |
Input:
889+977
Target:
| Input:
889+977
Target:
<scratch>
[8,8,9] has 3 digits.
[9,7,7] has 3 digits.
[8,8,9] + [9,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[8,8] + [9,7] , A=[6] , C=1 , 8+7+1=16 , A->6 , C->1
[8] + [9] , A=[6,6] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,6,6] C=1 , END
</scratch>
1866
| 1866 |
Input:
407+461
Target:
| Input:
407+461
Target:
<scratch>
[4,0,7] has 3 digits.
[4,6,1] has 3 digits.
[4,0,7] + [4,6,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[4,0] + [4,6] , A=[8] , C=0 , 0+6+0=6 , A->6 , C->0
[4] + [4] , A=[6,8] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,6,8] C=0 , END
</scratch>
868
| 868 |
Input:
198+953
Target:
| Input:
198+953
Target:
<scratch>
[1,9,8] has 3 digits.
[9,5,3] has 3 digits.
[1,9,8] + [9,5,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[1,9] + [9,5] , A=[1] , C=1 , 9+5+1=15 , A->5 , C->1
[1] + [9] , A=[5,1] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,5,1] C=1 , END
</scratch>
1151
| 1151 |
Input:
922+989
Target:
| Input:
922+989
Target:
<scratch>
[9,2,2] has 3 digits.
[9,8,9] has 3 digits.
[9,2,2] + [9,8,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[9,2] + [9,8] , A=[1] , C=1 , 2+8+1=11 , A->1 , C->1
[9] + [9] , A=[1,1] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,1,1] C=1 , END
</scratch>
1911
| 1911 |
Input:
643+478
Target:
| Input:
643+478
Target:
<scratch>
[6,4,3] has 3 digits.
[4,7,8] has 3 digits.
[6,4,3] + [4,7,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,4] + [4,7] , A=[1] , C=1 , 4+7+1=12 , A->2 , C->1
[6] + [4] , A=[2,1] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,2,1] C=1 , END
</scratch>
1121
| 1121 |
Input:
452+241
Target:
| Input:
452+241
Target:
<scratch>
[4,5,2] has 3 digits.
[2,4,1] has 3 digits.
[4,5,2] + [2,4,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[4,5] + [2,4] , A=[3] , C=0 , 5+4+0=9 , A->9 , C->0
[4] + [2] , A=[9,3] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,9,3] C=0 , END
</scratch>
693
| 693 |
Input:
13+555
Target:
| Input:
13+555
Target:
<scratch>
[1,3] has 2 digits.
[5,5,5] has 3 digits.
[1,3] + [5,5,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[1] + [5,5] , A=[8] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [5] , A=[6,8] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,6,8] C=0 , END
</scratch>
568
| 568 |
Input:
695+939
Target:
| Input:
695+939
Target:
<scratch>
[6,9,5] has 3 digits.
[9,3,9] has 3 digits.
[6,9,5] + [9,3,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[6,9] + [9,3] , A=[4] , C=1 , 9+3+1=13 , A->3 , C->1
[6] + [9] , A=[3,4] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,3,4] C=1 , END
</scratch>
1634
| 1634 |
Input:
253+977
Target:
| Input:
253+977
Target:
<scratch>
[2,5,3] has 3 digits.
[9,7,7] has 3 digits.
[2,5,3] + [9,7,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[2,5] + [9,7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[2] + [9] , A=[3,0] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,3,0] C=1 , END
</scratch>
1230
| 1230 |
Input:
278+747
Target:
| Input:
278+747
Target:
<scratch>
[2,7,8] has 3 digits.
[7,4,7] has 3 digits.
[2,7,8] + [7,4,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[2,7] + [7,4] , A=[5] , C=1 , 7+4+1=12 , A->2 , C->1
[2] + [7] , A=[2,5] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,2,5] C=1 , END
</scratch>
1025
| 1025 |
Input:
195+885
Target:
| Input:
195+885
Target:
<scratch>
[1,9,5] has 3 digits.
[8,8,5] has 3 digits.
[1,9,5] + [8,8,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[1,9] + [8,8] , A=[0] , C=1 , 9+8+1=18 , A->8 , C->1
[1] + [8] , A=[8,0] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,8,0] C=1 , END
</scratch>
1080
| 1080 |
Input:
775+558
Target:
| Input:
775+558
Target:
<scratch>
[7,7,5] has 3 digits.
[5,5,8] has 3 digits.
[7,7,5] + [5,5,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[7,7] + [5,5] , A=[3] , C=1 , 7+5+1=13 , A->3 , C->1
[7] + [5] , A=[3,3] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,3,3] C=1 , END
</scratch>
1333
| 1333 |
Input:
400+570
Target:
| Input:
400+570
Target:
<scratch>
[4,0,0] has 3 digits.
[5,7,0] has 3 digits.
[4,0,0] + [5,7,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[4,0] + [5,7] , A=[0] , C=0 , 0+7+0=7 , A->7 , C->0
[4] + [5] , A=[7,0] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,7,0] C=0 , END
</scratch>
970
| 970 |
Input:
240+129
Target:
| Input:
240+129
Target:
<scratch>
[2,4,0] has 3 digits.
[1,2,9] has 3 digits.
[2,4,0] + [1,2,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[2,4] + [1,2] , A=[9] , C=0 , 4+2+0=6 , A->6 , C->0
[2] + [1] , A=[6,9] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,6,9] C=0 , END
</scratch>
369
| 369 |
Input:
619+993
Target:
| Input:
619+993
Target:
<scratch>
[6,1,9] has 3 digits.
[9,9,3] has 3 digits.
[6,1,9] + [9,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[6,1] + [9,9] , A=[2] , C=1 , 1+9+1=11 , A->1 , C->1
[6] + [9] , A=[1,2] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,1,2] C=1 , END
</scratch>
1612
| 1612 |
Input:
515+889
Target:
| Input:
515+889
Target:
<scratch>
[5,1,5] has 3 digits.
[8,8,9] has 3 digits.
[5,1,5] + [8,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[5,1] + [8,8] , A=[4] , C=1 , 1+8+1=10 , A->0 , C->1
[5] + [8] , A=[0,4] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,0,4] C=1 , END
</scratch>
1404
| 1404 |
Input:
555+230
Target:
| Input:
555+230
Target:
<scratch>
[5,5,5] has 3 digits.
[2,3,0] has 3 digits.
[5,5,5] + [2,3,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[5,5] + [2,3] , A=[5] , C=0 , 5+3+0=8 , A->8 , C->0
[5] + [2] , A=[8,5] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,5] C=0 , END
</scratch>
785
| 785 |
Input:
963+378
Target:
| Input:
963+378
Target:
<scratch>
[9,6,3] has 3 digits.
[3,7,8] has 3 digits.
[9,6,3] + [3,7,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[9,6] + [3,7] , A=[1] , C=1 , 6+7+1=14 , A->4 , C->1
[9] + [3] , A=[4,1] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,4,1] C=1 , END
</scratch>
1341
| 1341 |
Input:
839+674
Target:
| Input:
839+674
Target:
<scratch>
[8,3,9] has 3 digits.
[6,7,4] has 3 digits.
[8,3,9] + [6,7,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[8,3] + [6,7] , A=[3] , C=1 , 3+7+1=11 , A->1 , C->1
[8] + [6] , A=[1,3] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,1,3] C=1 , END
</scratch>
1513
| 1513 |
Input:
886+976
Target:
| Input:
886+976
Target:
<scratch>
[8,8,6] has 3 digits.
[9,7,6] has 3 digits.
[8,8,6] + [9,7,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[8,8] + [9,7] , A=[2] , C=1 , 8+7+1=16 , A->6 , C->1
[8] + [9] , A=[6,2] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,6,2] C=1 , END
</scratch>
1862
| 1862 |
Input:
555+966
Target:
| Input:
555+966
Target:
<scratch>
[5,5,5] has 3 digits.
[9,6,6] has 3 digits.
[5,5,5] + [9,6,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[5,5] + [9,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[5] + [9] , A=[2,1] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,2,1] C=1 , END
</scratch>
1521
| 1521 |
Input:
998+198
Target:
| Input:
998+198
Target:
<scratch>
[9,9,8] has 3 digits.
[1,9,8] has 3 digits.
[9,9,8] + [1,9,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[9,9] + [1,9] , A=[6] , C=1 , 9+9+1=19 , A->9 , C->1
[9] + [1] , A=[9,6] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,9,6] C=1 , END
</scratch>
1196
| 1196 |
Input:
999+945
Target:
| Input:
999+945
Target:
<scratch>
[9,9,9] has 3 digits.
[9,4,5] has 3 digits.
[9,9,9] + [9,4,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[9,9] + [9,4] , A=[4] , C=1 , 9+4+1=14 , A->4 , C->1
[9] + [9] , A=[4,4] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,4,4] C=1 , END
</scratch>
1944
| 1944 |
Input:
514+453
Target:
| Input:
514+453
Target:
<scratch>
[5,1,4] has 3 digits.
[4,5,3] has 3 digits.
[5,1,4] + [4,5,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[5,1] + [4,5] , A=[7] , C=0 , 1+5+0=6 , A->6 , C->0
[5] + [4] , A=[6,7] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,6,7] C=0 , END
</scratch>
967
| 967 |
Input:
864+346
Target:
| Input:
864+346
Target:
<scratch>
[8,6,4] has 3 digits.
[3,4,6] has 3 digits.
[8,6,4] + [3,4,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[8,6] + [3,4] , A=[0] , C=1 , 6+4+1=11 , A->1 , C->1
[8] + [3] , A=[1,0] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,1,0] C=1 , END
</scratch>
1210
| 1210 |
Input:
578+958
Target:
| Input:
578+958
Target:
<scratch>
[5,7,8] has 3 digits.
[9,5,8] has 3 digits.
[5,7,8] + [9,5,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,7] + [9,5] , A=[6] , C=1 , 7+5+1=13 , A->3 , C->1
[5] + [9] , A=[3,6] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,3,6] C=1 , END
</scratch>
1536
| 1536 |
Input:
340+457
Target:
| Input:
340+457
Target:
<scratch>
[3,4,0] has 3 digits.
[4,5,7] has 3 digits.
[3,4,0] + [4,5,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[3,4] + [4,5] , A=[7] , C=0 , 4+5+0=9 , A->9 , C->0
[3] + [4] , A=[9,7] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,9,7] C=0 , END
</scratch>
797
| 797 |
Input:
310+150
Target:
| Input:
310+150
Target:
<scratch>
[3,1,0] has 3 digits.
[1,5,0] has 3 digits.
[3,1,0] + [1,5,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[3,1] + [1,5] , A=[0] , C=0 , 1+5+0=6 , A->6 , C->0
[3] + [1] , A=[6,0] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,6,0] C=0 , END
</scratch>
460
| 460 |
Input:
777+747
Target:
| Input:
777+747
Target:
<scratch>
[7,7,7] has 3 digits.
[7,4,7] has 3 digits.
[7,7,7] + [7,4,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[7,7] + [7,4] , A=[4] , C=1 , 7+4+1=12 , A->2 , C->1
[7] + [7] , A=[2,4] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,2,4] C=1 , END
</scratch>
1524
| 1524 |
Input:
142+613
Target:
| Input:
142+613
Target:
<scratch>
[1,4,2] has 3 digits.
[6,1,3] has 3 digits.
[1,4,2] + [6,1,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,4] + [6,1] , A=[5] , C=0 , 4+1+0=5 , A->5 , C->0
[1] + [6] , A=[5,5] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,5,5] C=0 , END
</scratch>
755
| 755 |
Input:
169+959
Target:
| Input:
169+959
Target:
<scratch>
[1,6,9] has 3 digits.
[9,5,9] has 3 digits.
[1,6,9] + [9,5,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[1,6] + [9,5] , A=[8] , C=1 , 6+5+1=12 , A->2 , C->1
[1] + [9] , A=[2,8] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,2,8] C=1 , END
</scratch>
1128
| 1128 |
Input:
723+589
Target:
| Input:
723+589
Target:
<scratch>
[7,2,3] has 3 digits.
[5,8,9] has 3 digits.
[7,2,3] + [5,8,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,2] + [5,8] , A=[2] , C=1 , 2+8+1=11 , A->1 , C->1
[7] + [5] , A=[1,2] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
720+169
Target:
| Input:
720+169
Target:
<scratch>
[7,2,0] has 3 digits.
[1,6,9] has 3 digits.
[7,2,0] + [1,6,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[7,2] + [1,6] , A=[9] , C=0 , 2+6+0=8 , A->8 , C->0
[7] + [1] , A=[8,9] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,8,9] C=0 , END
</scratch>
889
| 889 |
Input:
225+979
Target:
| Input:
225+979
Target:
<scratch>
[2,2,5] has 3 digits.
[9,7,9] has 3 digits.
[2,2,5] + [9,7,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[2,2] + [9,7] , A=[4] , C=1 , 2+7+1=10 , A->0 , C->1
[2] + [9] , A=[0,4] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,0,4] C=1 , END
</scratch>
1204
| 1204 |
Input:
494+749
Target:
| Input:
494+749
Target:
<scratch>
[4,9,4] has 3 digits.
[7,4,9] has 3 digits.
[4,9,4] + [7,4,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[4,9] + [7,4] , A=[3] , C=1 , 9+4+1=14 , A->4 , C->1
[4] + [7] , A=[4,3] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,4,3] C=1 , END
</scratch>
1243
| 1243 |
Input:
0+603
Target:
| Input:
0+603
Target:
<scratch>
[0] has 1 digits.
[6,0,3] has 3 digits.
[0] + [6,0,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [6,0] , A=[3] , C=0 , 0+0+0=0 , A->0 , C->0
[] + [6] , A=[0,3] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,0,3] C=0 , END
</scratch>
603
| 603 |
Input:
976+756
Target:
| Input:
976+756
Target:
<scratch>
[9,7,6] has 3 digits.
[7,5,6] has 3 digits.
[9,7,6] + [7,5,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[9,7] + [7,5] , A=[2] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [7] , A=[3,2] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,3,2] C=1 , END
</scratch>
1732
| 1732 |
Input:
30+910
Target:
| Input:
30+910
Target:
<scratch>
[3,0] has 2 digits.
[9,1,0] has 3 digits.
[3,0] + [9,1,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[3] + [9,1] , A=[0] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [9] , A=[4,0] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,4,0] C=0 , END
</scratch>
940
| 940 |
Input:
0+979
Target:
| Input:
0+979
Target:
<scratch>
[0] has 1 digits.
[9,7,9] has 3 digits.
[0] + [9,7,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [9,7] , A=[9] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [9] , A=[7,9] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,7,9] C=0 , END
</scratch>
979
| 979 |
Input:
953+668
Target:
| Input:
953+668
Target:
<scratch>
[9,5,3] has 3 digits.
[6,6,8] has 3 digits.
[9,5,3] + [6,6,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[9,5] + [6,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[9] + [6] , A=[2,1] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,2,1] C=1 , END
</scratch>
1621
| 1621 |
Input:
422+200
Target:
| Input:
422+200
Target:
<scratch>
[4,2,2] has 3 digits.
[2,0,0] has 3 digits.
[4,2,2] + [2,0,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[4,2] + [2,0] , A=[2] , C=0 , 2+0+0=2 , A->2 , C->0
[4] + [2] , A=[2,2] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,2,2] C=0 , END
</scratch>
622
| 622 |
Input:
697+609
Target:
| Input:
697+609
Target:
<scratch>
[6,9,7] has 3 digits.
[6,0,9] has 3 digits.
[6,9,7] + [6,0,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[6,9] + [6,0] , A=[6] , C=1 , 9+0+1=10 , A->0 , C->1
[6] + [6] , A=[0,6] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,0,6] C=1 , END
</scratch>
1306
| 1306 |
Input:
102+80
Target:
| Input:
102+80
Target:
<scratch>
[1,0,2] has 3 digits.
[8,0] has 2 digits.
[1,0,2] + [8,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[1,0] + [8] , A=[2] , C=0 , 0+8+0=8 , A->8 , C->0
[1] + [] , A=[8,2] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,8,2] C=0 , END
</scratch>
182
| 182 |
Input:
233+401
Target:
| Input:
233+401
Target:
<scratch>
[2,3,3] has 3 digits.
[4,0,1] has 3 digits.
[2,3,3] + [4,0,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[2,3] + [4,0] , A=[4] , C=0 , 3+0+0=3 , A->3 , C->0
[2] + [4] , A=[3,4] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,3,4] C=0 , END
</scratch>
634
| 634 |
Input:
583+999
Target:
| Input:
583+999
Target:
<scratch>
[5,8,3] has 3 digits.
[9,9,9] has 3 digits.
[5,8,3] + [9,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[5,8] + [9,9] , A=[2] , C=1 , 8+9+1=18 , A->8 , C->1
[5] + [9] , A=[8,2] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,8,2] C=1 , END
</scratch>
1582
| 1582 |
Input:
311+18
Target:
| Input:
311+18
Target:
<scratch>
[3,1,1] has 3 digits.
[1,8] has 2 digits.
[3,1,1] + [1,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[3,1] + [1] , A=[9] , C=0 , 1+1+0=2 , A->2 , C->0
[3] + [] , A=[2,9] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,2,9] C=0 , END
</scratch>
329
| 329 |
Input:
811+108
Target:
| Input:
811+108
Target:
<scratch>
[8,1,1] has 3 digits.
[1,0,8] has 3 digits.
[8,1,1] + [1,0,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[8,1] + [1,0] , A=[9] , C=0 , 1+0+0=1 , A->1 , C->0
[8] + [1] , A=[1,9] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,1,9] C=0 , END
</scratch>
919
| 919 |
Input:
146+622
Target:
| Input:
146+622
Target:
<scratch>
[1,4,6] has 3 digits.
[6,2,2] has 3 digits.
[1,4,6] + [6,2,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[1,4] + [6,2] , A=[8] , C=0 , 4+2+0=6 , A->6 , C->0
[1] + [6] , A=[6,8] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,6,8] C=0 , END
</scratch>
768
| 768 |
Input:
882+148
Target:
| Input:
882+148
Target:
<scratch>
[8,8,2] has 3 digits.
[1,4,8] has 3 digits.
[8,8,2] + [1,4,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[8,8] + [1,4] , A=[0] , C=1 , 8+4+1=13 , A->3 , C->1
[8] + [1] , A=[3,0] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,3,0] C=1 , END
</scratch>
1030
| 1030 |
Input:
222+547
Target:
| Input:
222+547
Target:
<scratch>
[2,2,2] has 3 digits.
[5,4,7] has 3 digits.
[2,2,2] + [5,4,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[2,2] + [5,4] , A=[9] , C=0 , 2+4+0=6 , A->6 , C->0
[2] + [5] , A=[6,9] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,6,9] C=0 , END
</scratch>
769
| 769 |
Input:
720+122
Target:
| Input:
720+122
Target:
<scratch>
[7,2,0] has 3 digits.
[1,2,2] has 3 digits.
[7,2,0] + [1,2,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[7,2] + [1,2] , A=[2] , C=0 , 2+2+0=4 , A->4 , C->0
[7] + [1] , A=[4,2] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,4,2] C=0 , END
</scratch>
842
| 842 |
Input:
33+221
Target:
| Input:
33+221
Target:
<scratch>
[3,3] has 2 digits.
[2,2,1] has 3 digits.
[3,3] + [2,2,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [2,2] , A=[4] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [2] , A=[5,4] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,5,4] C=0 , END
</scratch>
254
| 254 |
Input:
111+515
Target:
| Input:
111+515
Target:
<scratch>
[1,1,1] has 3 digits.
[5,1,5] has 3 digits.
[1,1,1] + [5,1,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[1,1] + [5,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[1] + [5] , A=[2,6] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,2,6] C=0 , END
</scratch>
626
| 626 |
Input:
217+251
Target:
| Input:
217+251
Target:
<scratch>
[2,1,7] has 3 digits.
[2,5,1] has 3 digits.
[2,1,7] + [2,5,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[2,1] + [2,5] , A=[8] , C=0 , 1+5+0=6 , A->6 , C->0
[2] + [2] , A=[6,8] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,6,8] C=0 , END
</scratch>
468
| 468 |
Input:
310+502
Target:
| Input:
310+502
Target:
<scratch>
[3,1,0] has 3 digits.
[5,0,2] has 3 digits.
[3,1,0] + [5,0,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,1] + [5,0] , A=[2] , C=0 , 1+0+0=1 , A->1 , C->0
[3] + [5] , A=[1,2] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,1,2] C=0 , END
</scratch>
812
| 812 |
Input:
303+162
Target:
| Input:
303+162
Target:
<scratch>
[3,0,3] has 3 digits.
[1,6,2] has 3 digits.
[3,0,3] + [1,6,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[3,0] + [1,6] , A=[5] , C=0 , 0+6+0=6 , A->6 , C->0
[3] + [1] , A=[6,5] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,6,5] C=0 , END
</scratch>
465
| 465 |
Input:
115+344
Target:
| Input:
115+344
Target:
<scratch>
[1,1,5] has 3 digits.
[3,4,4] has 3 digits.
[1,1,5] + [3,4,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[1,1] + [3,4] , A=[9] , C=0 , 1+4+0=5 , A->5 , C->0
[1] + [3] , A=[5,9] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,5,9] C=0 , END
</scratch>
459
| 459 |
Input:
739+895
Target:
| Input:
739+895
Target:
<scratch>
[7,3,9] has 3 digits.
[8,9,5] has 3 digits.
[7,3,9] + [8,9,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[7,3] + [8,9] , A=[4] , C=1 , 3+9+1=13 , A->3 , C->1
[7] + [8] , A=[3,4] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,3,4] C=1 , END
</scratch>
1634
| 1634 |
Input:
332+336
Target:
| Input:
332+336
Target:
<scratch>
[3,3,2] has 3 digits.
[3,3,6] has 3 digits.
[3,3,2] + [3,3,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[3,3] + [3,3] , A=[8] , C=0 , 3+3+0=6 , A->6 , C->0
[3] + [3] , A=[6,8] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,6,8] C=0 , END
</scratch>
668
| 668 |
Input:
879+821
Target:
| Input:
879+821
Target:
<scratch>
[8,7,9] has 3 digits.
[8,2,1] has 3 digits.
[8,7,9] + [8,2,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[8,7] + [8,2] , A=[0] , C=1 , 7+2+1=10 , A->0 , C->1
[8] + [8] , A=[0,0] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,0,0] C=1 , END
</scratch>
1700
| 1700 |
Input:
494+648
Target:
| Input:
494+648
Target:
<scratch>
[4,9,4] has 3 digits.
[6,4,8] has 3 digits.
[4,9,4] + [6,4,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[4,9] + [6,4] , A=[2] , C=1 , 9+4+1=14 , A->4 , C->1
[4] + [6] , A=[4,2] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,4,2] C=1 , END
</scratch>
1142
| 1142 |
Input:
155+401
Target:
| Input:
155+401
Target:
<scratch>
[1,5,5] has 3 digits.
[4,0,1] has 3 digits.
[1,5,5] + [4,0,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[1,5] + [4,0] , A=[6] , C=0 , 5+0+0=5 , A->5 , C->0
[1] + [4] , A=[5,6] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,5,6] C=0 , END
</scratch>
556
| 556 |
Input:
80+310
Target:
| Input:
80+310
Target:
<scratch>
[8,0] has 2 digits.
[3,1,0] has 3 digits.
[8,0] + [3,1,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[8] + [3,1] , A=[0] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [3] , A=[9,0] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,9,0] C=0 , END
</scratch>
390
| 390 |
Input:
298+715
Target:
| Input:
298+715
Target:
<scratch>
[2,9,8] has 3 digits.
[7,1,5] has 3 digits.
[2,9,8] + [7,1,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[2,9] + [7,1] , A=[3] , C=1 , 9+1+1=11 , A->1 , C->1
[2] + [7] , A=[1,3] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,1,3] C=1 , END
</scratch>
1013
| 1013 |
Input:
308+290
Target:
| Input:
308+290
Target:
<scratch>
[3,0,8] has 3 digits.
[2,9,0] has 3 digits.
[3,0,8] + [2,9,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[3,0] + [2,9] , A=[8] , C=0 , 0+9+0=9 , A->9 , C->0
[3] + [2] , A=[9,8] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,9,8] C=0 , END
</scratch>
598
| 598 |
Subsets and Splits