input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
103+723
Target:
| Input:
103+723
Target:
<scratch>
[1,0,3] has 3 digits.
[7,2,3] has 3 digits.
[1,0,3] + [7,2,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,0] + [7,2] , A=[6] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [7] , A=[2,6] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,2,6] C=0 , END
</scratch>
826
| 826 |
Input:
21+201
Target:
| Input:
21+201
Target:
<scratch>
[2,1] has 2 digits.
[2,0,1] has 3 digits.
[2,1] + [2,0,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[2] + [2,0] , A=[2] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [2] , A=[2,2] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,2,2] C=0 , END
</scratch>
222
| 222 |
Input:
362+330
Target:
| Input:
362+330
Target:
<scratch>
[3,6,2] has 3 digits.
[3,3,0] has 3 digits.
[3,6,2] + [3,3,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[3,6] + [3,3] , A=[2] , C=0 , 6+3+0=9 , A->9 , C->0
[3] + [3] , A=[9,2] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,9,2] C=0 , END
</scratch>
692
| 692 |
Input:
25+142
Target:
| Input:
25+142
Target:
<scratch>
[2,5] has 2 digits.
[1,4,2] has 3 digits.
[2,5] + [1,4,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[2] + [1,4] , A=[7] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [1] , A=[6,7] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,6,7] C=0 , END
</scratch>
167
| 167 |
Input:
6+672
Target:
| Input:
6+672
Target:
<scratch>
[6] has 1 digits.
[6,7,2] has 3 digits.
[6] + [6,7,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [6,7] , A=[8] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [6] , A=[7,8] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,7,8] C=0 , END
</scratch>
678
| 678 |
Input:
150+40
Target:
| Input:
150+40
Target:
<scratch>
[1,5,0] has 3 digits.
[4,0] has 2 digits.
[1,5,0] + [4,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[1,5] + [4] , A=[0] , C=0 , 5+4+0=9 , A->9 , C->0
[1] + [] , A=[9,0] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,9,0] C=0 , END
</scratch>
190
| 190 |
Input:
177+212
Target:
| Input:
177+212
Target:
<scratch>
[1,7,7] has 3 digits.
[2,1,2] has 3 digits.
[1,7,7] + [2,1,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[1,7] + [2,1] , A=[9] , C=0 , 7+1+0=8 , A->8 , C->0
[1] + [2] , A=[8,9] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,9] C=0 , END
</scratch>
389
| 389 |
Input:
722+274
Target:
| Input:
722+274
Target:
<scratch>
[7,2,2] has 3 digits.
[2,7,4] has 3 digits.
[7,2,2] + [2,7,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[7,2] + [2,7] , A=[6] , C=0 , 2+7+0=9 , A->9 , C->0
[7] + [2] , A=[9,6] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,6] C=0 , END
</scratch>
996
| 996 |
Input:
270+404
Target:
| Input:
270+404
Target:
<scratch>
[2,7,0] has 3 digits.
[4,0,4] has 3 digits.
[2,7,0] + [4,0,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[2,7] + [4,0] , A=[4] , C=0 , 7+0+0=7 , A->7 , C->0
[2] + [4] , A=[7,4] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,7,4] C=0 , END
</scratch>
674
| 674 |
Input:
402+446
Target:
| Input:
402+446
Target:
<scratch>
[4,0,2] has 3 digits.
[4,4,6] has 3 digits.
[4,0,2] + [4,4,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[4,0] + [4,4] , A=[8] , C=0 , 0+4+0=4 , A->4 , C->0
[4] + [4] , A=[4,8] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,4,8] C=0 , END
</scratch>
848
| 848 |
Input:
501+48
Target:
| Input:
501+48
Target:
<scratch>
[5,0,1] has 3 digits.
[4,8] has 2 digits.
[5,0,1] + [4,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[5,0] + [4] , A=[9] , C=0 , 0+4+0=4 , A->4 , C->0
[5] + [] , A=[4,9] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,4,9] C=0 , END
</scratch>
549
| 549 |
Input:
885+10
Target:
| Input:
885+10
Target:
<scratch>
[8,8,5] has 3 digits.
[1,0] has 2 digits.
[8,8,5] + [1,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[8,8] + [1] , A=[5] , C=0 , 8+1+0=9 , A->9 , C->0
[8] + [] , A=[9,5] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,9,5] C=0 , END
</scratch>
895
| 895 |
Input:
726+598
Target:
| Input:
726+598
Target:
<scratch>
[7,2,6] has 3 digits.
[5,9,8] has 3 digits.
[7,2,6] + [5,9,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[7,2] + [5,9] , A=[4] , C=1 , 2+9+1=12 , A->2 , C->1
[7] + [5] , A=[2,4] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,2,4] C=1 , END
</scratch>
1324
| 1324 |
Input:
201+573
Target:
| Input:
201+573
Target:
<scratch>
[2,0,1] has 3 digits.
[5,7,3] has 3 digits.
[2,0,1] + [5,7,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[2,0] + [5,7] , A=[4] , C=0 , 0+7+0=7 , A->7 , C->0
[2] + [5] , A=[7,4] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,7,4] C=0 , END
</scratch>
774
| 774 |
Input:
378+758
Target:
| Input:
378+758
Target:
<scratch>
[3,7,8] has 3 digits.
[7,5,8] has 3 digits.
[3,7,8] + [7,5,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[3,7] + [7,5] , A=[6] , C=1 , 7+5+1=13 , A->3 , C->1
[3] + [7] , A=[3,6] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,3,6] C=1 , END
</scratch>
1136
| 1136 |
Input:
555+20
Target:
| Input:
555+20
Target:
<scratch>
[5,5,5] has 3 digits.
[2,0] has 2 digits.
[5,5,5] + [2,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[5,5] + [2] , A=[5] , C=0 , 5+2+0=7 , A->7 , C->0
[5] + [] , A=[7,5] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,7,5] C=0 , END
</scratch>
575
| 575 |
Input:
361+232
Target:
| Input:
361+232
Target:
<scratch>
[3,6,1] has 3 digits.
[2,3,2] has 3 digits.
[3,6,1] + [2,3,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[3,6] + [2,3] , A=[3] , C=0 , 6+3+0=9 , A->9 , C->0
[3] + [2] , A=[9,3] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,9,3] C=0 , END
</scratch>
593
| 593 |
Input:
0+74
Target:
| Input:
0+74
Target:
<scratch>
[0] has 1 digits.
[7,4] has 2 digits.
[0] + [7,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [7] , A=[4] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,4] C=0 , END
</scratch>
74
| 74 |
Input:
964+57
Target:
| Input:
964+57
Target:
<scratch>
[9,6,4] has 3 digits.
[5,7] has 2 digits.
[9,6,4] + [5,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[9,6] + [5] , A=[1] , C=1 , 6+5+1=12 , A->2 , C->1
[9] + [] , A=[2,1] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,2,1] C=1 , END
</scratch>
1021
| 1021 |
Input:
961+849
Target:
| Input:
961+849
Target:
<scratch>
[9,6,1] has 3 digits.
[8,4,9] has 3 digits.
[9,6,1] + [8,4,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[9,6] + [8,4] , A=[0] , C=1 , 6+4+1=11 , A->1 , C->1
[9] + [8] , A=[1,0] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,1,0] C=1 , END
</scratch>
1810
| 1810 |
Input:
999+514
Target:
| Input:
999+514
Target:
<scratch>
[9,9,9] has 3 digits.
[5,1,4] has 3 digits.
[9,9,9] + [5,1,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[9,9] + [5,1] , A=[3] , C=1 , 9+1+1=11 , A->1 , C->1
[9] + [5] , A=[1,3] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,1,3] C=1 , END
</scratch>
1513
| 1513 |
Input:
895+3
Target:
| Input:
895+3
Target:
<scratch>
[8,9,5] has 3 digits.
[3] has 1 digits.
[8,9,5] + [3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[8,9] + [] , A=[8] , C=0 , 9+0+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:
261+122
Target:
| Input:
261+122
Target:
<scratch>
[2,6,1] has 3 digits.
[1,2,2] has 3 digits.
[2,6,1] + [1,2,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[2,6] + [1,2] , A=[3] , C=0 , 6+2+0=8 , A->8 , C->0
[2] + [1] , A=[8,3] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,8,3] C=0 , END
</scratch>
383
| 383 |
Input:
892+928
Target:
| Input:
892+928
Target:
<scratch>
[8,9,2] has 3 digits.
[9,2,8] has 3 digits.
[8,9,2] + [9,2,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[8,9] + [9,2] , A=[0] , C=1 , 9+2+1=12 , A->2 , C->1
[8] + [9] , A=[2,0] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,2,0] C=1 , END
</scratch>
1820
| 1820 |
Input:
898+338
Target:
| Input:
898+338
Target:
<scratch>
[8,9,8] has 3 digits.
[3,3,8] has 3 digits.
[8,9,8] + [3,3,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[8,9] + [3,3] , A=[6] , C=1 , 9+3+1=13 , A->3 , C->1
[8] + [3] , A=[3,6] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,3,6] C=1 , END
</scratch>
1236
| 1236 |
Input:
648+687
Target:
| Input:
648+687
Target:
<scratch>
[6,4,8] has 3 digits.
[6,8,7] has 3 digits.
[6,4,8] + [6,8,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[6,4] + [6,8] , A=[5] , C=1 , 4+8+1=13 , A->3 , C->1
[6] + [6] , A=[3,5] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,3,5] C=1 , END
</scratch>
1335
| 1335 |
Input:
969+447
Target:
| Input:
969+447
Target:
<scratch>
[9,6,9] has 3 digits.
[4,4,7] has 3 digits.
[9,6,9] + [4,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[9,6] + [4,4] , A=[6] , C=1 , 6+4+1=11 , A->1 , C->1
[9] + [4] , A=[1,6] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,1,6] C=1 , END
</scratch>
1416
| 1416 |
Input:
881+539
Target:
| Input:
881+539
Target:
<scratch>
[8,8,1] has 3 digits.
[5,3,9] has 3 digits.
[8,8,1] + [5,3,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[8,8] + [5,3] , A=[0] , C=1 , 8+3+1=12 , A->2 , C->1
[8] + [5] , A=[2,0] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,2,0] C=1 , END
</scratch>
1420
| 1420 |
Input:
768+953
Target:
| Input:
768+953
Target:
<scratch>
[7,6,8] has 3 digits.
[9,5,3] has 3 digits.
[7,6,8] + [9,5,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[7,6] + [9,5] , A=[1] , C=1 , 6+5+1=12 , A->2 , C->1
[7] + [9] , A=[2,1] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,2,1] C=1 , END
</scratch>
1721
| 1721 |
Input:
59+110
Target:
| Input:
59+110
Target:
<scratch>
[5,9] has 2 digits.
[1,1,0] has 3 digits.
[5,9] + [1,1,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[5] + [1,1] , A=[9] , C=0 , 5+1+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:
643+322
Target:
| Input:
643+322
Target:
<scratch>
[6,4,3] has 3 digits.
[3,2,2] has 3 digits.
[6,4,3] + [3,2,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[6,4] + [3,2] , A=[5] , C=0 , 4+2+0=6 , A->6 , C->0
[6] + [3] , A=[6,5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,6,5] C=0 , END
</scratch>
965
| 965 |
Input:
589+588
Target:
| Input:
589+588
Target:
<scratch>
[5,8,9] has 3 digits.
[5,8,8] has 3 digits.
[5,8,9] + [5,8,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[5,8] + [5,8] , A=[7] , C=1 , 8+8+1=17 , A->7 , C->1
[5] + [5] , A=[7,7] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,7,7] C=1 , END
</scratch>
1177
| 1177 |
Input:
729+981
Target:
| Input:
729+981
Target:
<scratch>
[7,2,9] has 3 digits.
[9,8,1] has 3 digits.
[7,2,9] + [9,8,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[7,2] + [9,8] , A=[0] , C=1 , 2+8+1=11 , A->1 , C->1
[7] + [9] , A=[1,0] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,1,0] C=1 , END
</scratch>
1710
| 1710 |
Input:
342+442
Target:
| Input:
342+442
Target:
<scratch>
[3,4,2] has 3 digits.
[4,4,2] has 3 digits.
[3,4,2] + [4,4,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[3,4] + [4,4] , A=[4] , C=0 , 4+4+0=8 , A->8 , C->0
[3] + [4] , A=[8,4] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,8,4] C=0 , END
</scratch>
784
| 784 |
Input:
577+824
Target:
| Input:
577+824
Target:
<scratch>
[5,7,7] has 3 digits.
[8,2,4] has 3 digits.
[5,7,7] + [8,2,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[5,7] + [8,2] , A=[1] , C=1 , 7+2+1=10 , A->0 , C->1
[5] + [8] , A=[0,1] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,0,1] C=1 , END
</scratch>
1401
| 1401 |
Input:
142+445
Target:
| Input:
142+445
Target:
<scratch>
[1,4,2] has 3 digits.
[4,4,5] has 3 digits.
[1,4,2] + [4,4,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[1,4] + [4,4] , A=[7] , C=0 , 4+4+0=8 , A->8 , C->0
[1] + [4] , A=[8,7] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,8,7] C=0 , END
</scratch>
587
| 587 |
Input:
686+346
Target:
| Input:
686+346
Target:
<scratch>
[6,8,6] has 3 digits.
[3,4,6] has 3 digits.
[6,8,6] + [3,4,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[6,8] + [3,4] , A=[2] , C=1 , 8+4+1=13 , A->3 , C->1
[6] + [3] , A=[3,2] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,3,2] C=1 , END
</scratch>
1032
| 1032 |
Input:
988+83
Target:
| Input:
988+83
Target:
<scratch>
[9,8,8] has 3 digits.
[8,3] has 2 digits.
[9,8,8] + [8,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,8] + [8] , A=[1] , C=1 , 8+8+1=17 , A->7 , C->1
[9] + [] , A=[7,1] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,7,1] C=1 , END
</scratch>
1071
| 1071 |
Input:
687+843
Target:
| Input:
687+843
Target:
<scratch>
[6,8,7] has 3 digits.
[8,4,3] has 3 digits.
[6,8,7] + [8,4,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[6,8] + [8,4] , A=[0] , C=1 , 8+4+1=13 , A->3 , C->1
[6] + [8] , A=[3,0] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,3,0] C=1 , END
</scratch>
1530
| 1530 |
Input:
427+887
Target:
| Input:
427+887
Target:
<scratch>
[4,2,7] has 3 digits.
[8,8,7] has 3 digits.
[4,2,7] + [8,8,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[4,2] + [8,8] , A=[4] , C=1 , 2+8+1=11 , A->1 , C->1
[4] + [8] , A=[1,4] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,1,4] C=1 , END
</scratch>
1314
| 1314 |
Input:
103+664
Target:
| Input:
103+664
Target:
<scratch>
[1,0,3] has 3 digits.
[6,6,4] has 3 digits.
[1,0,3] + [6,6,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,0] + [6,6] , A=[7] , C=0 , 0+6+0=6 , A->6 , C->0
[1] + [6] , A=[6,7] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,6,7] C=0 , END
</scratch>
767
| 767 |
Input:
486+113
Target:
| Input:
486+113
Target:
<scratch>
[4,8,6] has 3 digits.
[1,1,3] has 3 digits.
[4,8,6] + [1,1,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[4,8] + [1,1] , A=[9] , C=0 , 8+1+0=9 , A->9 , C->0
[4] + [1] , A=[9,9] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,9,9] C=0 , END
</scratch>
599
| 599 |
Input:
785+629
Target:
| Input:
785+629
Target:
<scratch>
[7,8,5] has 3 digits.
[6,2,9] has 3 digits.
[7,8,5] + [6,2,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7,8] + [6,2] , A=[4] , C=1 , 8+2+1=11 , A->1 , C->1
[7] + [6] , A=[1,4] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,1,4] C=1 , END
</scratch>
1414
| 1414 |
Input:
979+952
Target:
| Input:
979+952
Target:
<scratch>
[9,7,9] has 3 digits.
[9,5,2] has 3 digits.
[9,7,9] + [9,5,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[9,7] + [9,5] , A=[1] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [9] , A=[3,1] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,3,1] C=1 , END
</scratch>
1931
| 1931 |
Input:
351+43
Target:
| Input:
351+43
Target:
<scratch>
[3,5,1] has 3 digits.
[4,3] has 2 digits.
[3,5,1] + [4,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[3,5] + [4] , A=[4] , C=0 , 5+4+0=9 , A->9 , C->0
[3] + [] , A=[9,4] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,9,4] C=0 , END
</scratch>
394
| 394 |
Input:
330+540
Target:
| Input:
330+540
Target:
<scratch>
[3,3,0] has 3 digits.
[5,4,0] has 3 digits.
[3,3,0] + [5,4,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[3,3] + [5,4] , A=[0] , C=0 , 3+4+0=7 , A->7 , C->0
[3] + [5] , A=[7,0] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,7,0] C=0 , END
</scratch>
870
| 870 |
Input:
378+211
Target:
| Input:
378+211
Target:
<scratch>
[3,7,8] has 3 digits.
[2,1,1] has 3 digits.
[3,7,8] + [2,1,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[3,7] + [2,1] , A=[9] , C=0 , 7+1+0=8 , A->8 , C->0
[3] + [2] , A=[8,9] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,8,9] C=0 , END
</scratch>
589
| 589 |
Input:
107+152
Target:
| Input:
107+152
Target:
<scratch>
[1,0,7] has 3 digits.
[1,5,2] has 3 digits.
[1,0,7] + [1,5,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[1,0] + [1,5] , A=[9] , C=0 , 0+5+0=5 , A->5 , C->0
[1] + [1] , A=[5,9] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,5,9] C=0 , END
</scratch>
259
| 259 |
Input:
330+69
Target:
| Input:
330+69
Target:
<scratch>
[3,3,0] has 3 digits.
[6,9] has 2 digits.
[3,3,0] + [6,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[3,3] + [6] , A=[9] , C=0 , 3+6+0=9 , A->9 , C->0
[3] + [] , A=[9,9] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,9,9] C=0 , END
</scratch>
399
| 399 |
Input:
222+153
Target:
| Input:
222+153
Target:
<scratch>
[2,2,2] has 3 digits.
[1,5,3] has 3 digits.
[2,2,2] + [1,5,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[2,2] + [1,5] , A=[5] , C=0 , 2+5+0=7 , A->7 , C->0
[2] + [1] , A=[7,5] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,7,5] C=0 , END
</scratch>
375
| 375 |
Input:
869+672
Target:
| Input:
869+672
Target:
<scratch>
[8,6,9] has 3 digits.
[6,7,2] has 3 digits.
[8,6,9] + [6,7,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[8,6] + [6,7] , A=[1] , C=1 , 6+7+1=14 , A->4 , C->1
[8] + [6] , A=[4,1] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,4,1] C=1 , END
</scratch>
1541
| 1541 |
Input:
905+997
Target:
| Input:
905+997
Target:
<scratch>
[9,0,5] has 3 digits.
[9,9,7] has 3 digits.
[9,0,5] + [9,9,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,0] + [9,9] , A=[2] , C=1 , 0+9+1=10 , A->0 , C->1
[9] + [9] , A=[0,2] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,0,2] C=1 , END
</scratch>
1902
| 1902 |
Input:
330+12
Target:
| Input:
330+12
Target:
<scratch>
[3,3,0] has 3 digits.
[1,2] has 2 digits.
[3,3,0] + [1,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,3] + [1] , A=[2] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [] , A=[4,2] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,4,2] C=0 , END
</scratch>
342
| 342 |
Input:
143+240
Target:
| Input:
143+240
Target:
<scratch>
[1,4,3] has 3 digits.
[2,4,0] has 3 digits.
[1,4,3] + [2,4,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1,4] + [2,4] , A=[3] , C=0 , 4+4+0=8 , A->8 , C->0
[1] + [2] , A=[8,3] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,3] C=0 , END
</scratch>
383
| 383 |
Input:
161+710
Target:
| Input:
161+710
Target:
<scratch>
[1,6,1] has 3 digits.
[7,1,0] has 3 digits.
[1,6,1] + [7,1,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[1,6] + [7,1] , A=[1] , C=0 , 6+1+0=7 , A->7 , C->0
[1] + [7] , A=[7,1] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,7,1] C=0 , END
</scratch>
871
| 871 |
Input:
110+773
Target:
| Input:
110+773
Target:
<scratch>
[1,1,0] has 3 digits.
[7,7,3] has 3 digits.
[1,1,0] + [7,7,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[1,1] + [7,7] , A=[3] , C=0 , 1+7+0=8 , A->8 , C->0
[1] + [7] , A=[8,3] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,8,3] C=0 , END
</scratch>
883
| 883 |
Input:
667+859
Target:
| Input:
667+859
Target:
<scratch>
[6,6,7] has 3 digits.
[8,5,9] has 3 digits.
[6,6,7] + [8,5,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[6,6] + [8,5] , A=[6] , C=1 , 6+5+1=12 , A->2 , C->1
[6] + [8] , A=[2,6] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,2,6] C=1 , END
</scratch>
1526
| 1526 |
Input:
464+325
Target:
| Input:
464+325
Target:
<scratch>
[4,6,4] has 3 digits.
[3,2,5] has 3 digits.
[4,6,4] + [3,2,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[4,6] + [3,2] , A=[9] , C=0 , 6+2+0=8 , A->8 , C->0
[4] + [3] , A=[8,9] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,8,9] C=0 , END
</scratch>
789
| 789 |
Input:
28+241
Target:
| Input:
28+241
Target:
<scratch>
[2,8] has 2 digits.
[2,4,1] has 3 digits.
[2,8] + [2,4,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[2] + [2,4] , A=[9] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [2] , A=[6,9] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,6,9] C=0 , END
</scratch>
269
| 269 |
Input:
788+334
Target:
| Input:
788+334
Target:
<scratch>
[7,8,8] has 3 digits.
[3,3,4] has 3 digits.
[7,8,8] + [3,3,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[7,8] + [3,3] , A=[2] , C=1 , 8+3+1=12 , A->2 , C->1
[7] + [3] , A=[2,2] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,2,2] C=1 , END
</scratch>
1122
| 1122 |
Input:
642+123
Target:
| Input:
642+123
Target:
<scratch>
[6,4,2] has 3 digits.
[1,2,3] has 3 digits.
[6,4,2] + [1,2,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[6,4] + [1,2] , A=[5] , C=0 , 4+2+0=6 , A->6 , C->0
[6] + [1] , A=[6,5] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,6,5] C=0 , END
</scratch>
765
| 765 |
Input:
629+477
Target:
| Input:
629+477
Target:
<scratch>
[6,2,9] has 3 digits.
[4,7,7] has 3 digits.
[6,2,9] + [4,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,2] + [4,7] , A=[6] , C=1 , 2+7+1=10 , A->0 , C->1
[6] + [4] , A=[0,6] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,0,6] C=1 , END
</scratch>
1106
| 1106 |
Input:
99+935
Target:
| Input:
99+935
Target:
<scratch>
[9,9] has 2 digits.
[9,3,5] has 3 digits.
[9,9] + [9,3,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[9] + [9,3] , A=[4] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [9] , A=[3,4] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,3,4] C=1 , END
</scratch>
1034
| 1034 |
Input:
200+121
Target:
| Input:
200+121
Target:
<scratch>
[2,0,0] has 3 digits.
[1,2,1] has 3 digits.
[2,0,0] + [1,2,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[2,0] + [1,2] , A=[1] , C=0 , 0+2+0=2 , A->2 , C->0
[2] + [1] , A=[2,1] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,2,1] C=0 , END
</scratch>
321
| 321 |
Input:
209+440
Target:
| Input:
209+440
Target:
<scratch>
[2,0,9] has 3 digits.
[4,4,0] has 3 digits.
[2,0,9] + [4,4,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[2,0] + [4,4] , A=[9] , C=0 , 0+4+0=4 , A->4 , C->0
[2] + [4] , A=[4,9] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,4,9] C=0 , END
</scratch>
649
| 649 |
Input:
321+265
Target:
| Input:
321+265
Target:
<scratch>
[3,2,1] has 3 digits.
[2,6,5] has 3 digits.
[3,2,1] + [2,6,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[3,2] + [2,6] , A=[6] , C=0 , 2+6+0=8 , A->8 , C->0
[3] + [2] , A=[8,6] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,8,6] C=0 , END
</scratch>
586
| 586 |
Input:
877+698
Target:
| Input:
877+698
Target:
<scratch>
[8,7,7] has 3 digits.
[6,9,8] has 3 digits.
[8,7,7] + [6,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[8,7] + [6,9] , A=[5] , C=1 , 7+9+1=17 , A->7 , C->1
[8] + [6] , A=[7,5] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,7,5] C=1 , END
</scratch>
1575
| 1575 |
Input:
479+973
Target:
| Input:
479+973
Target:
<scratch>
[4,7,9] has 3 digits.
[9,7,3] has 3 digits.
[4,7,9] + [9,7,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[4,7] + [9,7] , A=[2] , C=1 , 7+7+1=15 , A->5 , C->1
[4] + [9] , A=[5,2] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,5,2] C=1 , END
</scratch>
1452
| 1452 |
Input:
958+598
Target:
| Input:
958+598
Target:
<scratch>
[9,5,8] has 3 digits.
[5,9,8] has 3 digits.
[9,5,8] + [5,9,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[9,5] + [5,9] , A=[6] , C=1 , 5+9+1=15 , A->5 , C->1
[9] + [5] , A=[5,6] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,5,6] C=1 , END
</scratch>
1556
| 1556 |
Input:
626+484
Target:
| Input:
626+484
Target:
<scratch>
[6,2,6] has 3 digits.
[4,8,4] has 3 digits.
[6,2,6] + [4,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6,2] + [4,8] , A=[0] , C=1 , 2+8+1=11 , A->1 , C->1
[6] + [4] , A=[1,0] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,1,0] C=1 , END
</scratch>
1110
| 1110 |
Input:
7+711
Target:
| Input:
7+711
Target:
<scratch>
[7] has 1 digits.
[7,1,1] has 3 digits.
[7] + [7,1,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [7,1] , A=[8] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [7] , A=[1,8] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,1,8] C=0 , END
</scratch>
718
| 718 |
Input:
386+895
Target:
| Input:
386+895
Target:
<scratch>
[3,8,6] has 3 digits.
[8,9,5] has 3 digits.
[3,8,6] + [8,9,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[3,8] + [8,9] , A=[1] , C=1 , 8+9+1=18 , A->8 , C->1
[3] + [8] , A=[8,1] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,8,1] C=1 , END
</scratch>
1281
| 1281 |
Input:
887+277
Target:
| Input:
887+277
Target:
<scratch>
[8,8,7] has 3 digits.
[2,7,7] has 3 digits.
[8,8,7] + [2,7,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[8,8] + [2,7] , A=[4] , C=1 , 8+7+1=16 , A->6 , C->1
[8] + [2] , A=[6,4] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,6,4] C=1 , END
</scratch>
1164
| 1164 |
Input:
311+558
Target:
| Input:
311+558
Target:
<scratch>
[3,1,1] has 3 digits.
[5,5,8] has 3 digits.
[3,1,1] + [5,5,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[3,1] + [5,5] , A=[9] , C=0 , 1+5+0=6 , A->6 , C->0
[3] + [5] , A=[6,9] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,6,9] C=0 , END
</scratch>
869
| 869 |
Input:
38+977
Target:
| Input:
38+977
Target:
<scratch>
[3,8] has 2 digits.
[9,7,7] has 3 digits.
[3,8] + [9,7,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[3] + [9,7] , A=[5] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [9] , A=[1,5] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,1,5] C=1 , END
</scratch>
1015
| 1015 |
Input:
804+697
Target:
| Input:
804+697
Target:
<scratch>
[8,0,4] has 3 digits.
[6,9,7] has 3 digits.
[8,0,4] + [6,9,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8,0] + [6,9] , A=[1] , C=1 , 0+9+1=10 , A->0 , C->1
[8] + [6] , A=[0,1] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,0,1] C=1 , END
</scratch>
1501
| 1501 |
Input:
606+797
Target:
| Input:
606+797
Target:
<scratch>
[6,0,6] has 3 digits.
[7,9,7] has 3 digits.
[6,0,6] + [7,9,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[6,0] + [7,9] , A=[3] , C=1 , 0+9+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:
975+447
Target:
| Input:
975+447
Target:
<scratch>
[9,7,5] has 3 digits.
[4,4,7] has 3 digits.
[9,7,5] + [4,4,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,7] + [4,4] , A=[2] , C=1 , 7+4+1=12 , A->2 , C->1
[9] + [4] , A=[2,2] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,2,2] C=1 , END
</scratch>
1422
| 1422 |
Input:
966+249
Target:
| Input:
966+249
Target:
<scratch>
[9,6,6] has 3 digits.
[2,4,9] has 3 digits.
[9,6,6] + [2,4,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[9,6] + [2,4] , A=[5] , C=1 , 6+4+1=11 , A->1 , C->1
[9] + [2] , A=[1,5] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,1,5] C=1 , END
</scratch>
1215
| 1215 |
Input:
984+726
Target:
| Input:
984+726
Target:
<scratch>
[9,8,4] has 3 digits.
[7,2,6] has 3 digits.
[9,8,4] + [7,2,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[9,8] + [7,2] , A=[0] , C=1 , 8+2+1=11 , A->1 , C->1
[9] + [7] , A=[1,0] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,1,0] C=1 , END
</scratch>
1710
| 1710 |
Input:
232+212
Target:
| Input:
232+212
Target:
<scratch>
[2,3,2] has 3 digits.
[2,1,2] has 3 digits.
[2,3,2] + [2,1,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[2,3] + [2,1] , A=[4] , C=0 , 3+1+0=4 , A->4 , C->0
[2] + [2] , A=[4,4] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,4,4] C=0 , END
</scratch>
444
| 444 |
Input:
513+176
Target:
| Input:
513+176
Target:
<scratch>
[5,1,3] has 3 digits.
[1,7,6] has 3 digits.
[5,1,3] + [1,7,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[5,1] + [1,7] , A=[9] , C=0 , 1+7+0=8 , A->8 , C->0
[5] + [1] , A=[8,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,8,9] C=0 , END
</scratch>
689
| 689 |
Input:
746+675
Target:
| Input:
746+675
Target:
<scratch>
[7,4,6] has 3 digits.
[6,7,5] has 3 digits.
[7,4,6] + [6,7,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[7,4] + [6,7] , A=[1] , C=1 , 4+7+1=12 , A->2 , C->1
[7] + [6] , A=[2,1] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,2,1] C=1 , END
</scratch>
1421
| 1421 |
Input:
797+257
Target:
| Input:
797+257
Target:
<scratch>
[7,9,7] has 3 digits.
[2,5,7] has 3 digits.
[7,9,7] + [2,5,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[7,9] + [2,5] , A=[4] , C=1 , 9+5+1=15 , A->5 , C->1
[7] + [2] , A=[5,4] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,5,4] C=1 , END
</scratch>
1054
| 1054 |
Input:
77+964
Target:
| Input:
77+964
Target:
<scratch>
[7,7] has 2 digits.
[9,6,4] has 3 digits.
[7,7] + [9,6,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[7] + [9,6] , A=[1] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [9] , A=[4,1] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,4,1] C=1 , END
</scratch>
1041
| 1041 |
Input:
454+878
Target:
| Input:
454+878
Target:
<scratch>
[4,5,4] has 3 digits.
[8,7,8] has 3 digits.
[4,5,4] + [8,7,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[4,5] + [8,7] , A=[2] , C=1 , 5+7+1=13 , A->3 , C->1
[4] + [8] , A=[3,2] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,3,2] C=1 , END
</scratch>
1332
| 1332 |
Input:
241+625
Target:
| Input:
241+625
Target:
<scratch>
[2,4,1] has 3 digits.
[6,2,5] has 3 digits.
[2,4,1] + [6,2,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[2,4] + [6,2] , A=[6] , C=0 , 4+2+0=6 , A->6 , C->0
[2] + [6] , A=[6,6] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,6,6] C=0 , END
</scratch>
866
| 866 |
Input:
432+214
Target:
| Input:
432+214
Target:
<scratch>
[4,3,2] has 3 digits.
[2,1,4] has 3 digits.
[4,3,2] + [2,1,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[4,3] + [2,1] , A=[6] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [2] , A=[4,6] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,4,6] C=0 , END
</scratch>
646
| 646 |
Input:
137+620
Target:
| Input:
137+620
Target:
<scratch>
[1,3,7] has 3 digits.
[6,2,0] has 3 digits.
[1,3,7] + [6,2,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[1,3] + [6,2] , A=[7] , C=0 , 3+2+0=5 , A->5 , C->0
[1] + [6] , A=[5,7] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,5,7] C=0 , END
</scratch>
757
| 757 |
Input:
153+231
Target:
| Input:
153+231
Target:
<scratch>
[1,5,3] has 3 digits.
[2,3,1] has 3 digits.
[1,5,3] + [2,3,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[1,5] + [2,3] , A=[4] , C=0 , 5+3+0=8 , A->8 , C->0
[1] + [2] , A=[8,4] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,4] C=0 , END
</scratch>
384
| 384 |
Input:
929+579
Target:
| Input:
929+579
Target:
<scratch>
[9,2,9] has 3 digits.
[5,7,9] has 3 digits.
[9,2,9] + [5,7,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[9,2] + [5,7] , A=[8] , C=1 , 2+7+1=10 , A->0 , C->1
[9] + [5] , A=[0,8] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,0,8] C=1 , END
</scratch>
1508
| 1508 |
Input:
123+70
Target:
| Input:
123+70
Target:
<scratch>
[1,2,3] has 3 digits.
[7,0] has 2 digits.
[1,2,3] + [7,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1,2] + [7] , A=[3] , C=0 , 2+7+0=9 , A->9 , C->0
[1] + [] , A=[9,3] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,9,3] C=0 , END
</scratch>
193
| 193 |
Input:
294+939
Target:
| Input:
294+939
Target:
<scratch>
[2,9,4] has 3 digits.
[9,3,9] has 3 digits.
[2,9,4] + [9,3,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[2,9] + [9,3] , A=[3] , C=1 , 9+3+1=13 , A->3 , C->1
[2] + [9] , A=[3,3] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,3,3] C=1 , END
</scratch>
1233
| 1233 |
Input:
783+339
Target:
| Input:
783+339
Target:
<scratch>
[7,8,3] has 3 digits.
[3,3,9] has 3 digits.
[7,8,3] + [3,3,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,8] + [3,3] , A=[2] , C=1 , 8+3+1=12 , A->2 , C->1
[7] + [3] , A=[2,2] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,2,2] C=1 , END
</scratch>
1122
| 1122 |
Input:
792+969
Target:
| Input:
792+969
Target:
<scratch>
[7,9,2] has 3 digits.
[9,6,9] has 3 digits.
[7,9,2] + [9,6,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[7,9] + [9,6] , A=[1] , C=1 , 9+6+1=16 , A->6 , C->1
[7] + [9] , A=[6,1] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,6,1] C=1 , END
</scratch>
1761
| 1761 |
Input:
540+435
Target:
| Input:
540+435
Target:
<scratch>
[5,4,0] has 3 digits.
[4,3,5] has 3 digits.
[5,4,0] + [4,3,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[5,4] + [4,3] , A=[5] , C=0 , 4+3+0=7 , A->7 , C->0
[5] + [4] , A=[7,5] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,7,5] C=0 , END
</scratch>
975
| 975 |
Input:
199+700
Target:
| Input:
199+700
Target:
<scratch>
[1,9,9] has 3 digits.
[7,0,0] has 3 digits.
[1,9,9] + [7,0,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[1,9] + [7,0] , A=[9] , C=0 , 9+0+0=9 , A->9 , C->0
[1] + [7] , A=[9,9] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,9,9] C=0 , END
</scratch>
899
| 899 |
Input:
898+916
Target:
| Input:
898+916
Target:
<scratch>
[8,9,8] has 3 digits.
[9,1,6] has 3 digits.
[8,9,8] + [9,1,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[8,9] + [9,1] , A=[4] , C=1 , 9+1+1=11 , A->1 , C->1
[8] + [9] , A=[1,4] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,1,4] C=1 , END
</scratch>
1814
| 1814 |
Input:
710+203
Target:
| Input:
710+203
Target:
<scratch>
[7,1,0] has 3 digits.
[2,0,3] has 3 digits.
[7,1,0] + [2,0,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[7,1] + [2,0] , A=[3] , C=0 , 1+0+0=1 , A->1 , C->0
[7] + [2] , A=[1,3] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,1,3] C=0 , END
</scratch>
913
| 913 |
Input:
167+801
Target:
| Input:
167+801
Target:
<scratch>
[1,6,7] has 3 digits.
[8,0,1] has 3 digits.
[1,6,7] + [8,0,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[1,6] + [8,0] , A=[8] , C=0 , 6+0+0=6 , A->6 , C->0
[1] + [8] , A=[6,8] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,6,8] C=0 , END
</scratch>
968
| 968 |
Subsets and Splits