input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
737+873
Target:
| Input:
737+873
Target:
<scratch>
[7,3,7] has 3 digits.
[8,7,3] has 3 digits.
[7,3,7] + [8,7,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[7,3] + [8,7] , A=[0] , C=1 , 3+7+1=11 , A->1 , C->1
[7] + [8] , A=[1,0] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,1,0] C=1 , END
</scratch>
1610
| 1610 |
Input:
797+645
Target:
| Input:
797+645
Target:
<scratch>
[7,9,7] has 3 digits.
[6,4,5] has 3 digits.
[7,9,7] + [6,4,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[7,9] + [6,4] , A=[2] , C=1 , 9+4+1=14 , A->4 , C->1
[7] + [6] , A=[4,2] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,4,2] C=1 , END
</scratch>
1442
| 1442 |
Input:
122+443
Target:
| Input:
122+443
Target:
<scratch>
[1,2,2] has 3 digits.
[4,4,3] has 3 digits.
[1,2,2] + [4,4,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,2] + [4,4] , A=[5] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [4] , A=[6,5] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,6,5] C=0 , END
</scratch>
565
| 565 |
Input:
704+242
Target:
| Input:
704+242
Target:
<scratch>
[7,0,4] has 3 digits.
[2,4,2] has 3 digits.
[7,0,4] + [2,4,2] , A=[] , C=0 , 4+2+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:
613+205
Target:
| Input:
613+205
Target:
<scratch>
[6,1,3] has 3 digits.
[2,0,5] has 3 digits.
[6,1,3] + [2,0,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[6,1] + [2,0] , A=[8] , C=0 , 1+0+0=1 , A->1 , C->0
[6] + [2] , A=[1,8] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,1,8] C=0 , END
</scratch>
818
| 818 |
Input:
601+384
Target:
| Input:
601+384
Target:
<scratch>
[6,0,1] has 3 digits.
[3,8,4] has 3 digits.
[6,0,1] + [3,8,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[6,0] + [3,8] , A=[5] , C=0 , 0+8+0=8 , A->8 , C->0
[6] + [3] , A=[8,5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,8,5] C=0 , END
</scratch>
985
| 985 |
Input:
503+323
Target:
| Input:
503+323
Target:
<scratch>
[5,0,3] has 3 digits.
[3,2,3] has 3 digits.
[5,0,3] + [3,2,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[5,0] + [3,2] , A=[6] , C=0 , 0+2+0=2 , A->2 , C->0
[5] + [3] , A=[2,6] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,2,6] C=0 , END
</scratch>
826
| 826 |
Input:
112+76
Target:
| Input:
112+76
Target:
<scratch>
[1,1,2] has 3 digits.
[7,6] has 2 digits.
[1,1,2] + [7,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[1,1] + [7] , A=[8] , C=0 , 1+7+0=8 , A->8 , C->0
[1] + [] , A=[8,8] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,8,8] C=0 , END
</scratch>
188
| 188 |
Input:
447+685
Target:
| Input:
447+685
Target:
<scratch>
[4,4,7] has 3 digits.
[6,8,5] has 3 digits.
[4,4,7] + [6,8,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[4,4] + [6,8] , A=[2] , C=1 , 4+8+1=13 , A->3 , C->1
[4] + [6] , A=[3,2] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,3,2] C=1 , END
</scratch>
1132
| 1132 |
Input:
682+788
Target:
| Input:
682+788
Target:
<scratch>
[6,8,2] has 3 digits.
[7,8,8] has 3 digits.
[6,8,2] + [7,8,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[6,8] + [7,8] , A=[0] , C=1 , 8+8+1=17 , A->7 , C->1
[6] + [7] , A=[7,0] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,7,0] C=1 , END
</scratch>
1470
| 1470 |
Input:
648+683
Target:
| Input:
648+683
Target:
<scratch>
[6,4,8] has 3 digits.
[6,8,3] has 3 digits.
[6,4,8] + [6,8,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[6,4] + [6,8] , A=[1] , C=1 , 4+8+1=13 , A->3 , C->1
[6] + [6] , A=[3,1] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,3,1] C=1 , END
</scratch>
1331
| 1331 |
Input:
935+669
Target:
| Input:
935+669
Target:
<scratch>
[9,3,5] has 3 digits.
[6,6,9] has 3 digits.
[9,3,5] + [6,6,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[9,3] + [6,6] , A=[4] , C=1 , 3+6+1=10 , A->0 , C->1
[9] + [6] , A=[0,4] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,4] C=1 , END
</scratch>
1604
| 1604 |
Input:
330+62
Target:
| Input:
330+62
Target:
<scratch>
[3,3,0] has 3 digits.
[6,2] has 2 digits.
[3,3,0] + [6,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,3] + [6] , A=[2] , C=0 , 3+6+0=9 , A->9 , C->0
[3] + [] , A=[9,2] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,9,2] C=0 , END
</scratch>
392
| 392 |
Input:
122+452
Target:
| Input:
122+452
Target:
<scratch>
[1,2,2] has 3 digits.
[4,5,2] has 3 digits.
[1,2,2] + [4,5,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[1,2] + [4,5] , A=[4] , C=0 , 2+5+0=7 , A->7 , C->0
[1] + [4] , A=[7,4] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,7,4] C=0 , END
</scratch>
574
| 574 |
Input:
310+142
Target:
| Input:
310+142
Target:
<scratch>
[3,1,0] has 3 digits.
[1,4,2] has 3 digits.
[3,1,0] + [1,4,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,1] + [1,4] , A=[2] , C=0 , 1+4+0=5 , A->5 , C->0
[3] + [1] , A=[5,2] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,5,2] C=0 , END
</scratch>
452
| 452 |
Input:
81+712
Target:
| Input:
81+712
Target:
<scratch>
[8,1] has 2 digits.
[7,1,2] has 3 digits.
[8,1] + [7,1,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[8] + [7,1] , A=[3] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [7] , A=[9,3] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,9,3] C=0 , END
</scratch>
793
| 793 |
Input:
645+777
Target:
| Input:
645+777
Target:
<scratch>
[6,4,5] has 3 digits.
[7,7,7] has 3 digits.
[6,4,5] + [7,7,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[6,4] + [7,7] , A=[2] , C=1 , 4+7+1=12 , A->2 , C->1
[6] + [7] , A=[2,2] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,2,2] C=1 , END
</scratch>
1422
| 1422 |
Input:
310+402
Target:
| Input:
310+402
Target:
<scratch>
[3,1,0] has 3 digits.
[4,0,2] has 3 digits.
[3,1,0] + [4,0,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,1] + [4,0] , A=[2] , C=0 , 1+0+0=1 , A->1 , C->0
[3] + [4] , A=[1,2] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,1,2] C=0 , END
</scratch>
712
| 712 |
Input:
410+279
Target:
| Input:
410+279
Target:
<scratch>
[4,1,0] has 3 digits.
[2,7,9] has 3 digits.
[4,1,0] + [2,7,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[4,1] + [2,7] , A=[9] , C=0 , 1+7+0=8 , A->8 , C->0
[4] + [2] , A=[8,9] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,8,9] C=0 , END
</scratch>
689
| 689 |
Input:
961+30
Target:
| Input:
961+30
Target:
<scratch>
[9,6,1] has 3 digits.
[3,0] has 2 digits.
[9,6,1] + [3,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[9,6] + [3] , A=[1] , C=0 , 6+3+0=9 , A->9 , C->0
[9] + [] , A=[9,1] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,9,1] C=0 , END
</scratch>
991
| 991 |
Input:
51+844
Target:
| Input:
51+844
Target:
<scratch>
[5,1] has 2 digits.
[8,4,4] has 3 digits.
[5,1] + [8,4,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[5] + [8,4] , A=[5] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [8] , A=[9,5] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,9,5] C=0 , END
</scratch>
895
| 895 |
Input:
978+473
Target:
| Input:
978+473
Target:
<scratch>
[9,7,8] has 3 digits.
[4,7,3] has 3 digits.
[9,7,8] + [4,7,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,7] + [4,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[9] + [4] , A=[5,1] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,5,1] C=1 , END
</scratch>
1451
| 1451 |
Input:
789+842
Target:
| Input:
789+842
Target:
<scratch>
[7,8,9] has 3 digits.
[8,4,2] has 3 digits.
[7,8,9] + [8,4,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[7,8] + [8,4] , A=[1] , C=1 , 8+4+1=13 , A->3 , C->1
[7] + [8] , A=[3,1] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,3,1] C=1 , END
</scratch>
1631
| 1631 |
Input:
660+315
Target:
| Input:
660+315
Target:
<scratch>
[6,6,0] has 3 digits.
[3,1,5] has 3 digits.
[6,6,0] + [3,1,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[6,6] + [3,1] , A=[5] , C=0 , 6+1+0=7 , A->7 , C->0
[6] + [3] , A=[7,5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,7,5] C=0 , END
</scratch>
975
| 975 |
Input:
865+876
Target:
| Input:
865+876
Target:
<scratch>
[8,6,5] has 3 digits.
[8,7,6] has 3 digits.
[8,6,5] + [8,7,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[8,6] + [8,7] , A=[1] , C=1 , 6+7+1=14 , A->4 , C->1
[8] + [8] , A=[4,1] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,4,1] C=1 , END
</scratch>
1741
| 1741 |
Input:
579+869
Target:
| Input:
579+869
Target:
<scratch>
[5,7,9] has 3 digits.
[8,6,9] has 3 digits.
[5,7,9] + [8,6,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[5,7] + [8,6] , A=[8] , C=1 , 7+6+1=14 , A->4 , C->1
[5] + [8] , A=[4,8] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,4,8] C=1 , END
</scratch>
1448
| 1448 |
Input:
831+67
Target:
| Input:
831+67
Target:
<scratch>
[8,3,1] has 3 digits.
[6,7] has 2 digits.
[8,3,1] + [6,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[8,3] + [6] , A=[8] , C=0 , 3+6+0=9 , A->9 , C->0
[8] + [] , A=[9,8] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,9,8] C=0 , END
</scratch>
898
| 898 |
Input:
368+938
Target:
| Input:
368+938
Target:
<scratch>
[3,6,8] has 3 digits.
[9,3,8] has 3 digits.
[3,6,8] + [9,3,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[3,6] + [9,3] , A=[6] , C=1 , 6+3+1=10 , A->0 , C->1
[3] + [9] , A=[0,6] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,6] C=1 , END
</scratch>
1306
| 1306 |
Input:
852+969
Target:
| Input:
852+969
Target:
<scratch>
[8,5,2] has 3 digits.
[9,6,9] has 3 digits.
[8,5,2] + [9,6,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[8,5] + [9,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[8] + [9] , A=[2,1] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,2,1] C=1 , END
</scratch>
1821
| 1821 |
Input:
371+669
Target:
| Input:
371+669
Target:
<scratch>
[3,7,1] has 3 digits.
[6,6,9] has 3 digits.
[3,7,1] + [6,6,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[3,7] + [6,6] , A=[0] , C=1 , 7+6+1=14 , A->4 , C->1
[3] + [6] , A=[4,0] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,4,0] C=1 , END
</scratch>
1040
| 1040 |
Input:
64+123
Target:
| Input:
64+123
Target:
<scratch>
[6,4] has 2 digits.
[1,2,3] has 3 digits.
[6,4] + [1,2,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[6] + [1,2] , A=[7] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [1] , A=[8,7] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,8,7] C=0 , END
</scratch>
187
| 187 |
Input:
340+135
Target:
| Input:
340+135
Target:
<scratch>
[3,4,0] has 3 digits.
[1,3,5] has 3 digits.
[3,4,0] + [1,3,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[3,4] + [1,3] , A=[5] , C=0 , 4+3+0=7 , A->7 , C->0
[3] + [1] , A=[7,5] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,7,5] C=0 , END
</scratch>
475
| 475 |
Input:
792+958
Target:
| Input:
792+958
Target:
<scratch>
[7,9,2] has 3 digits.
[9,5,8] has 3 digits.
[7,9,2] + [9,5,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[7,9] + [9,5] , A=[0] , C=1 , 9+5+1=15 , A->5 , C->1
[7] + [9] , A=[5,0] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,5,0] C=1 , END
</scratch>
1750
| 1750 |
Input:
618+141
Target:
| Input:
618+141
Target:
<scratch>
[6,1,8] has 3 digits.
[1,4,1] has 3 digits.
[6,1,8] + [1,4,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[6,1] + [1,4] , A=[9] , C=0 , 1+4+0=5 , A->5 , C->0
[6] + [1] , A=[5,9] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,5,9] C=0 , END
</scratch>
759
| 759 |
Input:
847+798
Target:
| Input:
847+798
Target:
<scratch>
[8,4,7] has 3 digits.
[7,9,8] has 3 digits.
[8,4,7] + [7,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[8,4] + [7,9] , A=[5] , C=1 , 4+9+1=14 , A->4 , C->1
[8] + [7] , A=[4,5] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,4,5] C=1 , END
</scratch>
1645
| 1645 |
Input:
559+872
Target:
| Input:
559+872
Target:
<scratch>
[5,5,9] has 3 digits.
[8,7,2] has 3 digits.
[5,5,9] + [8,7,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[5,5] + [8,7] , A=[1] , C=1 , 5+7+1=13 , A->3 , C->1
[5] + [8] , A=[3,1] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,3,1] C=1 , END
</scratch>
1431
| 1431 |
Input:
412+313
Target:
| Input:
412+313
Target:
<scratch>
[4,1,2] has 3 digits.
[3,1,3] has 3 digits.
[4,1,2] + [3,1,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[4,1] + [3,1] , A=[5] , C=0 , 1+1+0=2 , A->2 , C->0
[4] + [3] , A=[2,5] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,2,5] C=0 , END
</scratch>
725
| 725 |
Input:
273+504
Target:
| Input:
273+504
Target:
<scratch>
[2,7,3] has 3 digits.
[5,0,4] has 3 digits.
[2,7,3] + [5,0,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[2,7] + [5,0] , A=[7] , C=0 , 7+0+0=7 , A->7 , C->0
[2] + [5] , A=[7,7] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,7,7] C=0 , END
</scratch>
777
| 777 |
Input:
989+491
Target:
| Input:
989+491
Target:
<scratch>
[9,8,9] has 3 digits.
[4,9,1] has 3 digits.
[9,8,9] + [4,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[9,8] + [4,9] , A=[0] , C=1 , 8+9+1=18 , A->8 , C->1
[9] + [4] , A=[8,0] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,8,0] C=1 , END
</scratch>
1480
| 1480 |
Input:
518+370
Target:
| Input:
518+370
Target:
<scratch>
[5,1,8] has 3 digits.
[3,7,0] has 3 digits.
[5,1,8] + [3,7,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[5,1] + [3,7] , A=[8] , C=0 , 1+7+0=8 , A->8 , C->0
[5] + [3] , A=[8,8] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,8,8] C=0 , END
</scratch>
888
| 888 |
Input:
551+23
Target:
| Input:
551+23
Target:
<scratch>
[5,5,1] has 3 digits.
[2,3] has 2 digits.
[5,5,1] + [2,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[5,5] + [2] , A=[4] , C=0 , 5+2+0=7 , A->7 , C->0
[5] + [] , A=[7,4] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,7,4] C=0 , END
</scratch>
574
| 574 |
Input:
453+5
Target:
| Input:
453+5
Target:
<scratch>
[4,5,3] has 3 digits.
[5] has 1 digits.
[4,5,3] + [5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[4,5] + [] , A=[8] , C=0 , 5+0+0=5 , A->5 , C->0
[4] + [] , A=[5,8] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,5,8] C=0 , END
</scratch>
458
| 458 |
Input:
411+454
Target:
| Input:
411+454
Target:
<scratch>
[4,1,1] has 3 digits.
[4,5,4] has 3 digits.
[4,1,1] + [4,5,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[4,1] + [4,5] , A=[5] , C=0 , 1+5+0=6 , A->6 , C->0
[4] + [4] , A=[6,5] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,6,5] C=0 , END
</scratch>
865
| 865 |
Input:
868+535
Target:
| Input:
868+535
Target:
<scratch>
[8,6,8] has 3 digits.
[5,3,5] has 3 digits.
[8,6,8] + [5,3,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[8,6] + [5,3] , A=[3] , C=1 , 6+3+1=10 , A->0 , C->1
[8] + [5] , A=[0,3] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,0,3] C=1 , END
</scratch>
1403
| 1403 |
Input:
888+692
Target:
| Input:
888+692
Target:
<scratch>
[8,8,8] has 3 digits.
[6,9,2] has 3 digits.
[8,8,8] + [6,9,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[8,8] + [6,9] , A=[0] , C=1 , 8+9+1=18 , A->8 , C->1
[8] + [6] , A=[8,0] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,8,0] C=1 , END
</scratch>
1580
| 1580 |
Input:
151+237
Target:
| Input:
151+237
Target:
<scratch>
[1,5,1] has 3 digits.
[2,3,7] has 3 digits.
[1,5,1] + [2,3,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,5] + [2,3] , A=[8] , C=0 , 5+3+0=8 , A->8 , C->0
[1] + [2] , A=[8,8] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,8] C=0 , END
</scratch>
388
| 388 |
Input:
958+657
Target:
| Input:
958+657
Target:
<scratch>
[9,5,8] has 3 digits.
[6,5,7] has 3 digits.
[9,5,8] + [6,5,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[9,5] + [6,5] , A=[5] , C=1 , 5+5+1=11 , A->1 , C->1
[9] + [6] , A=[1,5] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,1,5] C=1 , END
</scratch>
1615
| 1615 |
Input:
897+485
Target:
| Input:
897+485
Target:
<scratch>
[8,9,7] has 3 digits.
[4,8,5] has 3 digits.
[8,9,7] + [4,8,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[8,9] + [4,8] , A=[2] , C=1 , 9+8+1=18 , A->8 , C->1
[8] + [4] , A=[8,2] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,8,2] C=1 , END
</scratch>
1382
| 1382 |
Input:
628+486
Target:
| Input:
628+486
Target:
<scratch>
[6,2,8] has 3 digits.
[4,8,6] has 3 digits.
[6,2,8] + [4,8,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[6,2] + [4,8] , A=[4] , C=1 , 2+8+1=11 , A->1 , C->1
[6] + [4] , A=[1,4] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,1,4] C=1 , END
</scratch>
1114
| 1114 |
Input:
366+532
Target:
| Input:
366+532
Target:
<scratch>
[3,6,6] has 3 digits.
[5,3,2] has 3 digits.
[3,6,6] + [5,3,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[3,6] + [5,3] , A=[8] , C=0 , 6+3+0=9 , A->9 , C->0
[3] + [5] , A=[9,8] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,9,8] C=0 , END
</scratch>
898
| 898 |
Input:
227+988
Target:
| Input:
227+988
Target:
<scratch>
[2,2,7] has 3 digits.
[9,8,8] has 3 digits.
[2,2,7] + [9,8,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[2,2] + [9,8] , A=[5] , C=1 , 2+8+1=11 , A->1 , C->1
[2] + [9] , A=[1,5] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,1,5] C=1 , END
</scratch>
1215
| 1215 |
Input:
379+986
Target:
| Input:
379+986
Target:
<scratch>
[3,7,9] has 3 digits.
[9,8,6] has 3 digits.
[3,7,9] + [9,8,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[3,7] + [9,8] , A=[5] , C=1 , 7+8+1=16 , A->6 , C->1
[3] + [9] , A=[6,5] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,6,5] C=1 , END
</scratch>
1365
| 1365 |
Input:
803+998
Target:
| Input:
803+998
Target:
<scratch>
[8,0,3] has 3 digits.
[9,9,8] has 3 digits.
[8,0,3] + [9,9,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[8,0] + [9,9] , A=[1] , C=1 , 0+9+1=10 , A->0 , C->1
[8] + [9] , A=[0,1] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,0,1] C=1 , END
</scratch>
1801
| 1801 |
Input:
124+545
Target:
| Input:
124+545
Target:
<scratch>
[1,2,4] has 3 digits.
[5,4,5] has 3 digits.
[1,2,4] + [5,4,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[1,2] + [5,4] , A=[9] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [5] , A=[6,9] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,6,9] C=0 , END
</scratch>
669
| 669 |
Input:
748+567
Target:
| Input:
748+567
Target:
<scratch>
[7,4,8] has 3 digits.
[5,6,7] has 3 digits.
[7,4,8] + [5,6,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[7,4] + [5,6] , A=[5] , C=1 , 4+6+1=11 , A->1 , C->1
[7] + [5] , A=[1,5] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,5] C=1 , END
</scratch>
1315
| 1315 |
Input:
401+571
Target:
| Input:
401+571
Target:
<scratch>
[4,0,1] has 3 digits.
[5,7,1] has 3 digits.
[4,0,1] + [5,7,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[4,0] + [5,7] , A=[2] , C=0 , 0+7+0=7 , A->7 , C->0
[4] + [5] , A=[7,2] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,7,2] C=0 , END
</scratch>
972
| 972 |
Input:
547+888
Target:
| Input:
547+888
Target:
<scratch>
[5,4,7] has 3 digits.
[8,8,8] has 3 digits.
[5,4,7] + [8,8,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[5,4] + [8,8] , A=[5] , C=1 , 4+8+1=13 , A->3 , C->1
[5] + [8] , A=[3,5] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,3,5] C=1 , END
</scratch>
1435
| 1435 |
Input:
375+929
Target:
| Input:
375+929
Target:
<scratch>
[3,7,5] has 3 digits.
[9,2,9] has 3 digits.
[3,7,5] + [9,2,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[3,7] + [9,2] , A=[4] , C=1 , 7+2+1=10 , A->0 , C->1
[3] + [9] , A=[0,4] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,4] C=1 , END
</scratch>
1304
| 1304 |
Input:
670+315
Target:
| Input:
670+315
Target:
<scratch>
[6,7,0] has 3 digits.
[3,1,5] has 3 digits.
[6,7,0] + [3,1,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[6,7] + [3,1] , A=[5] , C=0 , 7+1+0=8 , A->8 , C->0
[6] + [3] , A=[8,5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,8,5] C=0 , END
</scratch>
985
| 985 |
Input:
335+514
Target:
| Input:
335+514
Target:
<scratch>
[3,3,5] has 3 digits.
[5,1,4] has 3 digits.
[3,3,5] + [5,1,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[3,3] + [5,1] , A=[9] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [5] , A=[4,9] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,4,9] C=0 , END
</scratch>
849
| 849 |
Input:
410+550
Target:
| Input:
410+550
Target:
<scratch>
[4,1,0] has 3 digits.
[5,5,0] has 3 digits.
[4,1,0] + [5,5,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[4,1] + [5,5] , A=[0] , C=0 , 1+5+0=6 , A->6 , C->0
[4] + [5] , A=[6,0] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,6,0] C=0 , END
</scratch>
960
| 960 |
Input:
405+440
Target:
| Input:
405+440
Target:
<scratch>
[4,0,5] has 3 digits.
[4,4,0] has 3 digits.
[4,0,5] + [4,4,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[4,0] + [4,4] , A=[5] , C=0 , 0+4+0=4 , A->4 , C->0
[4] + [4] , A=[4,5] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,4,5] C=0 , END
</scratch>
845
| 845 |
Input:
989+99
Target:
| Input:
989+99
Target:
<scratch>
[9,8,9] has 3 digits.
[9,9] has 2 digits.
[9,8,9] + [9,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[9,8] + [9] , A=[8] , C=1 , 8+9+1=18 , A->8 , C->1
[9] + [] , A=[8,8] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,8,8] C=1 , END
</scratch>
1088
| 1088 |
Input:
936+668
Target:
| Input:
936+668
Target:
<scratch>
[9,3,6] has 3 digits.
[6,6,8] has 3 digits.
[9,3,6] + [6,6,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[9,3] + [6,6] , A=[4] , C=1 , 3+6+1=10 , A->0 , C->1
[9] + [6] , A=[0,4] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,4] C=1 , END
</scratch>
1604
| 1604 |
Input:
848+367
Target:
| Input:
848+367
Target:
<scratch>
[8,4,8] has 3 digits.
[3,6,7] has 3 digits.
[8,4,8] + [3,6,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[8,4] + [3,6] , A=[5] , C=1 , 4+6+1=11 , A->1 , C->1
[8] + [3] , A=[1,5] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,1,5] C=1 , END
</scratch>
1215
| 1215 |
Input:
849+499
Target:
| Input:
849+499
Target:
<scratch>
[8,4,9] has 3 digits.
[4,9,9] has 3 digits.
[8,4,9] + [4,9,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[8,4] + [4,9] , A=[8] , C=1 , 4+9+1=14 , A->4 , C->1
[8] + [4] , A=[4,8] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,4,8] C=1 , END
</scratch>
1348
| 1348 |
Input:
749+785
Target:
| Input:
749+785
Target:
<scratch>
[7,4,9] has 3 digits.
[7,8,5] has 3 digits.
[7,4,9] + [7,8,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[7,4] + [7,8] , A=[4] , C=1 , 4+8+1=13 , A->3 , C->1
[7] + [7] , A=[3,4] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,3,4] C=1 , END
</scratch>
1534
| 1534 |
Input:
316+985
Target:
| Input:
316+985
Target:
<scratch>
[3,1,6] has 3 digits.
[9,8,5] has 3 digits.
[3,1,6] + [9,8,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[3,1] + [9,8] , A=[1] , C=1 , 1+8+1=10 , A->0 , C->1
[3] + [9] , A=[0,1] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,1] C=1 , END
</scratch>
1301
| 1301 |
Input:
179+824
Target:
| Input:
179+824
Target:
<scratch>
[1,7,9] has 3 digits.
[8,2,4] has 3 digits.
[1,7,9] + [8,2,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[1,7] + [8,2] , A=[3] , C=1 , 7+2+1=10 , A->0 , C->1
[1] + [8] , A=[0,3] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,0,3] C=1 , END
</scratch>
1003
| 1003 |
Input:
503+396
Target:
| Input:
503+396
Target:
<scratch>
[5,0,3] has 3 digits.
[3,9,6] has 3 digits.
[5,0,3] + [3,9,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[5,0] + [3,9] , A=[9] , C=0 , 0+9+0=9 , A->9 , C->0
[5] + [3] , A=[9,9] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,9,9] C=0 , END
</scratch>
899
| 899 |
Input:
148+521
Target:
| Input:
148+521
Target:
<scratch>
[1,4,8] has 3 digits.
[5,2,1] has 3 digits.
[1,4,8] + [5,2,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[1,4] + [5,2] , A=[9] , C=0 , 4+2+0=6 , A->6 , C->0
[1] + [5] , A=[6,9] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,6,9] C=0 , END
</scratch>
669
| 669 |
Input:
62+537
Target:
| Input:
62+537
Target:
<scratch>
[6,2] has 2 digits.
[5,3,7] has 3 digits.
[6,2] + [5,3,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[6] + [5,3] , A=[9] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [5] , A=[9,9] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,9,9] C=0 , END
</scratch>
599
| 599 |
Input:
313+386
Target:
| Input:
313+386
Target:
<scratch>
[3,1,3] has 3 digits.
[3,8,6] has 3 digits.
[3,1,3] + [3,8,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[3,1] + [3,8] , A=[9] , C=0 , 1+8+0=9 , A->9 , C->0
[3] + [3] , A=[9,9] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,9,9] C=0 , END
</scratch>
699
| 699 |
Input:
280+418
Target:
| Input:
280+418
Target:
<scratch>
[2,8,0] has 3 digits.
[4,1,8] has 3 digits.
[2,8,0] + [4,1,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[2,8] + [4,1] , A=[8] , C=0 , 8+1+0=9 , A->9 , C->0
[2] + [4] , A=[9,8] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,9,8] C=0 , END
</scratch>
698
| 698 |
Input:
433+562
Target:
| Input:
433+562
Target:
<scratch>
[4,3,3] has 3 digits.
[5,6,2] has 3 digits.
[4,3,3] + [5,6,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[4,3] + [5,6] , A=[5] , C=0 , 3+6+0=9 , A->9 , C->0
[4] + [5] , A=[9,5] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,9,5] C=0 , END
</scratch>
995
| 995 |
Input:
183+818
Target:
| Input:
183+818
Target:
<scratch>
[1,8,3] has 3 digits.
[8,1,8] has 3 digits.
[1,8,3] + [8,1,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[1,8] + [8,1] , A=[1] , C=1 , 8+1+1=10 , A->0 , C->1
[1] + [8] , A=[0,1] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
103+344
Target:
| Input:
103+344
Target:
<scratch>
[1,0,3] has 3 digits.
[3,4,4] has 3 digits.
[1,0,3] + [3,4,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,0] + [3,4] , A=[7] , C=0 , 0+4+0=4 , A->4 , C->0
[1] + [3] , A=[4,7] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,4,7] C=0 , END
</scratch>
447
| 447 |
Input:
431+136
Target:
| Input:
431+136
Target:
<scratch>
[4,3,1] has 3 digits.
[1,3,6] has 3 digits.
[4,3,1] + [1,3,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[4,3] + [1,3] , A=[7] , C=0 , 3+3+0=6 , A->6 , C->0
[4] + [1] , A=[6,7] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,6,7] C=0 , END
</scratch>
567
| 567 |
Input:
151+27
Target:
| Input:
151+27
Target:
<scratch>
[1,5,1] has 3 digits.
[2,7] has 2 digits.
[1,5,1] + [2,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,5] + [2] , A=[8] , C=0 , 5+2+0=7 , A->7 , C->0
[1] + [] , A=[7,8] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,7,8] C=0 , END
</scratch>
178
| 178 |
Input:
105+440
Target:
| Input:
105+440
Target:
<scratch>
[1,0,5] has 3 digits.
[4,4,0] has 3 digits.
[1,0,5] + [4,4,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[1,0] + [4,4] , A=[5] , C=0 , 0+4+0=4 , A->4 , C->0
[1] + [4] , A=[4,5] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,4,5] C=0 , END
</scratch>
545
| 545 |
Input:
369+885
Target:
| Input:
369+885
Target:
<scratch>
[3,6,9] has 3 digits.
[8,8,5] has 3 digits.
[3,6,9] + [8,8,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[3,6] + [8,8] , A=[4] , C=1 , 6+8+1=15 , A->5 , C->1
[3] + [8] , A=[5,4] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,5,4] C=1 , END
</scratch>
1254
| 1254 |
Input:
867+875
Target:
| Input:
867+875
Target:
<scratch>
[8,6,7] has 3 digits.
[8,7,5] has 3 digits.
[8,6,7] + [8,7,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[8,6] + [8,7] , A=[2] , C=1 , 6+7+1=14 , A->4 , C->1
[8] + [8] , A=[4,2] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,4,2] C=1 , END
</scratch>
1742
| 1742 |
Input:
354+503
Target:
| Input:
354+503
Target:
<scratch>
[3,5,4] has 3 digits.
[5,0,3] has 3 digits.
[3,5,4] + [5,0,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[3,5] + [5,0] , A=[7] , C=0 , 5+0+0=5 , A->5 , C->0
[3] + [5] , A=[5,7] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,5,7] C=0 , END
</scratch>
857
| 857 |
Input:
300+193
Target:
| Input:
300+193
Target:
<scratch>
[3,0,0] has 3 digits.
[1,9,3] has 3 digits.
[3,0,0] + [1,9,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[3,0] + [1,9] , A=[3] , C=0 , 0+9+0=9 , A->9 , C->0
[3] + [1] , A=[9,3] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,9,3] C=0 , END
</scratch>
493
| 493 |
Input:
849+481
Target:
| Input:
849+481
Target:
<scratch>
[8,4,9] has 3 digits.
[4,8,1] has 3 digits.
[8,4,9] + [4,8,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[8,4] + [4,8] , A=[0] , C=1 , 4+8+1=13 , A->3 , C->1
[8] + [4] , A=[3,0] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,3,0] C=1 , END
</scratch>
1330
| 1330 |
Input:
755+468
Target:
| Input:
755+468
Target:
<scratch>
[7,5,5] has 3 digits.
[4,6,8] has 3 digits.
[7,5,5] + [4,6,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[7,5] + [4,6] , A=[3] , C=1 , 5+6+1=12 , A->2 , C->1
[7] + [4] , A=[2,3] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,2,3] C=1 , END
</scratch>
1223
| 1223 |
Input:
747+759
Target:
| Input:
747+759
Target:
<scratch>
[7,4,7] has 3 digits.
[7,5,9] has 3 digits.
[7,4,7] + [7,5,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[7,4] + [7,5] , A=[6] , C=1 , 4+5+1=10 , A->0 , C->1
[7] + [7] , A=[0,6] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,0,6] C=1 , END
</scratch>
1506
| 1506 |
Input:
244+705
Target:
| Input:
244+705
Target:
<scratch>
[2,4,4] has 3 digits.
[7,0,5] has 3 digits.
[2,4,4] + [7,0,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[2,4] + [7,0] , A=[9] , C=0 , 4+0+0=4 , A->4 , C->0
[2] + [7] , A=[4,9] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,4,9] C=0 , END
</scratch>
949
| 949 |
Input:
875+185
Target:
| Input:
875+185
Target:
<scratch>
[8,7,5] has 3 digits.
[1,8,5] has 3 digits.
[8,7,5] + [1,8,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[8,7] + [1,8] , A=[0] , C=1 , 7+8+1=16 , A->6 , C->1
[8] + [1] , A=[6,0] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,6,0] C=1 , END
</scratch>
1060
| 1060 |
Input:
225+710
Target:
| Input:
225+710
Target:
<scratch>
[2,2,5] has 3 digits.
[7,1,0] has 3 digits.
[2,2,5] + [7,1,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[2,2] + [7,1] , A=[5] , C=0 , 2+1+0=3 , A->3 , C->0
[2] + [7] , A=[3,5] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,3,5] C=0 , END
</scratch>
935
| 935 |
Input:
737+875
Target:
| Input:
737+875
Target:
<scratch>
[7,3,7] has 3 digits.
[8,7,5] has 3 digits.
[7,3,7] + [8,7,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[7,3] + [8,7] , A=[2] , C=1 , 3+7+1=11 , A->1 , C->1
[7] + [8] , A=[1,2] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,1,2] C=1 , END
</scratch>
1612
| 1612 |
Input:
636+767
Target:
| Input:
636+767
Target:
<scratch>
[6,3,6] has 3 digits.
[7,6,7] has 3 digits.
[6,3,6] + [7,6,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[6,3] + [7,6] , A=[3] , C=1 , 3+6+1=10 , A->0 , C->1
[6] + [7] , A=[0,3] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,0,3] C=1 , END
</scratch>
1403
| 1403 |
Input:
820+100
Target:
| Input:
820+100
Target:
<scratch>
[8,2,0] has 3 digits.
[1,0,0] has 3 digits.
[8,2,0] + [1,0,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[8,2] + [1,0] , A=[0] , C=0 , 2+0+0=2 , A->2 , C->0
[8] + [1] , A=[2,0] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,2,0] C=0 , END
</scratch>
920
| 920 |
Input:
759+684
Target:
| Input:
759+684
Target:
<scratch>
[7,5,9] has 3 digits.
[6,8,4] has 3 digits.
[7,5,9] + [6,8,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[7,5] + [6,8] , A=[3] , C=1 , 5+8+1=14 , A->4 , C->1
[7] + [6] , A=[4,3] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,4,3] C=1 , END
</scratch>
1443
| 1443 |
Input:
17+482
Target:
| Input:
17+482
Target:
<scratch>
[1,7] has 2 digits.
[4,8,2] has 3 digits.
[1,7] + [4,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[1] + [4,8] , A=[9] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [4] , A=[9,9] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,9,9] C=0 , END
</scratch>
499
| 499 |
Input:
697+634
Target:
| Input:
697+634
Target:
<scratch>
[6,9,7] has 3 digits.
[6,3,4] has 3 digits.
[6,9,7] + [6,3,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[6,9] + [6,3] , A=[1] , C=1 , 9+3+1=13 , A->3 , C->1
[6] + [6] , A=[3,1] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,3,1] C=1 , END
</scratch>
1331
| 1331 |
Input:
42+712
Target:
| Input:
42+712
Target:
<scratch>
[4,2] has 2 digits.
[7,1,2] has 3 digits.
[4,2] + [7,1,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[4] + [7,1] , A=[4] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [7] , A=[5,4] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,5,4] C=0 , END
</scratch>
754
| 754 |
Input:
372+401
Target:
| Input:
372+401
Target:
<scratch>
[3,7,2] has 3 digits.
[4,0,1] has 3 digits.
[3,7,2] + [4,0,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[3,7] + [4,0] , A=[3] , C=0 , 7+0+0=7 , A->7 , C->0
[3] + [4] , A=[7,3] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,7,3] C=0 , END
</scratch>
773
| 773 |
Input:
363+887
Target:
| Input:
363+887
Target:
<scratch>
[3,6,3] has 3 digits.
[8,8,7] has 3 digits.
[3,6,3] + [8,8,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[3,6] + [8,8] , A=[0] , C=1 , 6+8+1=15 , A->5 , C->1
[3] + [8] , A=[5,0] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,5,0] C=1 , END
</scratch>
1250
| 1250 |
Input:
579+522
Target:
| Input:
579+522
Target:
<scratch>
[5,7,9] has 3 digits.
[5,2,2] has 3 digits.
[5,7,9] + [5,2,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[5,7] + [5,2] , A=[1] , C=1 , 7+2+1=10 , A->0 , C->1
[5] + [5] , A=[0,1] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,0,1] C=1 , END
</scratch>
1101
| 1101 |
Subsets and Splits