input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
799+845
Target:
| Input:
799+845
Target:
<scratch>
[7,9,9] has 3 digits.
[8,4,5] has 3 digits.
[7,9,9] + [8,4,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[7,9] + [8,4] , A=[4] , C=1 , 9+4+1=14 , A->4 , C->1
[7] + [8] , A=[4,4] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,4,4] C=1 , END
</scratch>
1644
| 1644 |
Input:
442+782
Target:
| Input:
442+782
Target:
<scratch>
[4,4,2] has 3 digits.
[7,8,2] has 3 digits.
[4,4,2] + [7,8,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[4,4] + [7,8] , A=[4] , C=0 , 4+8+0=12 , A->2 , C->1
[4] + [7] , A=[2,4] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,2,4] C=1 , END
</scratch>
1224
| 1224 |
Input:
634+626
Target:
| Input:
634+626
Target:
<scratch>
[6,3,4] has 3 digits.
[6,2,6] has 3 digits.
[6,3,4] + [6,2,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[6,3] + [6,2] , A=[0] , C=1 , 3+2+1=6 , A->6 , C->0
[6] + [6] , A=[6,0] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,6,0] C=1 , END
</scratch>
1260
| 1260 |
Input:
230+616
Target:
| Input:
230+616
Target:
<scratch>
[2,3,0] has 3 digits.
[6,1,6] has 3 digits.
[2,3,0] + [6,1,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[2,3] + [6,1] , A=[6] , C=0 , 3+1+0=4 , A->4 , C->0
[2] + [6] , A=[4,6] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,4,6] C=0 , END
</scratch>
846
| 846 |
Input:
50+930
Target:
| Input:
50+930
Target:
<scratch>
[5,0] has 2 digits.
[9,3,0] has 3 digits.
[5,0] + [9,3,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[5] + [9,3] , A=[0] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [9] , A=[8,0] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,8,0] C=0 , END
</scratch>
980
| 980 |
Input:
584+491
Target:
| Input:
584+491
Target:
<scratch>
[5,8,4] has 3 digits.
[4,9,1] has 3 digits.
[5,8,4] + [4,9,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[5,8] + [4,9] , A=[5] , C=0 , 8+9+0=17 , A->7 , C->1
[5] + [4] , A=[7,5] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,7,5] C=1 , END
</scratch>
1075
| 1075 |
Input:
244+377
Target:
| Input:
244+377
Target:
<scratch>
[2,4,4] has 3 digits.
[3,7,7] has 3 digits.
[2,4,4] + [3,7,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[2,4] + [3,7] , A=[1] , C=1 , 4+7+1=12 , A->2 , C->1
[2] + [3] , A=[2,1] , C=1 , 2+3+1=6 , A->6 , C->0
[] + [] , A=[6,2,1] C=0 , END
</scratch>
621
| 621 |
Input:
783+894
Target:
| Input:
783+894
Target:
<scratch>
[7,8,3] has 3 digits.
[8,9,4] has 3 digits.
[7,8,3] + [8,9,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[7,8] + [8,9] , A=[7] , C=0 , 8+9+0=17 , A->7 , C->1
[7] + [8] , A=[7,7] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,7,7] C=1 , END
</scratch>
1677
| 1677 |
Input:
567+762
Target:
| Input:
567+762
Target:
<scratch>
[5,6,7] has 3 digits.
[7,6,2] has 3 digits.
[5,6,7] + [7,6,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[5,6] + [7,6] , A=[9] , C=0 , 6+6+0=12 , A->2 , C->1
[5] + [7] , A=[2,9] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,2,9] C=1 , END
</scratch>
1329
| 1329 |
Input:
104+300
Target:
| Input:
104+300
Target:
<scratch>
[1,0,4] has 3 digits.
[3,0,0] has 3 digits.
[1,0,4] + [3,0,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[1,0] + [3,0] , A=[4] , C=0 , 0+0+0=0 , A->0 , C->0
[1] + [3] , A=[0,4] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,0,4] C=0 , END
</scratch>
404
| 404 |
Input:
783+225
Target:
| Input:
783+225
Target:
<scratch>
[7,8,3] has 3 digits.
[2,2,5] has 3 digits.
[7,8,3] + [2,2,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[7,8] + [2,2] , A=[8] , C=0 , 8+2+0=10 , A->0 , C->1
[7] + [2] , A=[0,8] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,0,8] C=1 , END
</scratch>
1008
| 1008 |
Input:
83+513
Target:
| Input:
83+513
Target:
<scratch>
[8,3] has 2 digits.
[5,1,3] has 3 digits.
[8,3] + [5,1,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[8] + [5,1] , A=[6] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [5] , A=[9,6] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,9,6] C=0 , END
</scratch>
596
| 596 |
Input:
649+283
Target:
| Input:
649+283
Target:
<scratch>
[6,4,9] has 3 digits.
[2,8,3] has 3 digits.
[6,4,9] + [2,8,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[6,4] + [2,8] , A=[2] , C=1 , 4+8+1=13 , A->3 , C->1
[6] + [2] , A=[3,2] , C=1 , 6+2+1=9 , A->9 , C->0
[] + [] , A=[9,3,2] C=0 , END
</scratch>
932
| 932 |
Input:
130+104
Target:
| Input:
130+104
Target:
<scratch>
[1,3,0] has 3 digits.
[1,0,4] has 3 digits.
[1,3,0] + [1,0,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[1,3] + [1,0] , A=[4] , C=0 , 3+0+0=3 , A->3 , C->0
[1] + [1] , A=[3,4] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,3,4] C=0 , END
</scratch>
234
| 234 |
Input:
644+677
Target:
| Input:
644+677
Target:
<scratch>
[6,4,4] has 3 digits.
[6,7,7] has 3 digits.
[6,4,4] + [6,7,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[6,4] + [6,7] , A=[1] , C=1 , 4+7+1=12 , A->2 , C->1
[6] + [6] , A=[2,1] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,2,1] C=1 , END
</scratch>
1321
| 1321 |
Input:
344+421
Target:
| Input:
344+421
Target:
<scratch>
[3,4,4] has 3 digits.
[4,2,1] has 3 digits.
[3,4,4] + [4,2,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[3,4] + [4,2] , A=[5] , C=0 , 4+2+0=6 , A->6 , C->0
[3] + [4] , A=[6,5] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,6,5] C=0 , END
</scratch>
765
| 765 |
Input:
878+975
Target:
| Input:
878+975
Target:
<scratch>
[8,7,8] has 3 digits.
[9,7,5] has 3 digits.
[8,7,8] + [9,7,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[8,7] + [9,7] , A=[3] , C=1 , 7+7+1=15 , A->5 , C->1
[8] + [9] , A=[5,3] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,5,3] C=1 , END
</scratch>
1853
| 1853 |
Input:
617+10
Target:
| Input:
617+10
Target:
<scratch>
[6,1,7] has 3 digits.
[1,0] has 2 digits.
[6,1,7] + [1,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[6,1] + [1] , A=[7] , C=0 , 1+1+0=2 , A->2 , C->0
[6] + [] , A=[2,7] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,2,7] C=0 , END
</scratch>
627
| 627 |
Input:
544+891
Target:
| Input:
544+891
Target:
<scratch>
[5,4,4] has 3 digits.
[8,9,1] has 3 digits.
[5,4,4] + [8,9,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[5,4] + [8,9] , A=[5] , C=0 , 4+9+0=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:
817+692
Target:
| Input:
817+692
Target:
<scratch>
[8,1,7] has 3 digits.
[6,9,2] has 3 digits.
[8,1,7] + [6,9,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[8,1] + [6,9] , A=[9] , C=0 , 1+9+0=10 , A->0 , C->1
[8] + [6] , A=[0,9] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,0,9] C=1 , END
</scratch>
1509
| 1509 |
Input:
977+829
Target:
| Input:
977+829
Target:
<scratch>
[9,7,7] has 3 digits.
[8,2,9] has 3 digits.
[9,7,7] + [8,2,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[9,7] + [8,2] , A=[6] , C=1 , 7+2+1=10 , A->0 , C->1
[9] + [8] , A=[0,6] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,0,6] C=1 , END
</scratch>
1806
| 1806 |
Input:
208+948
Target:
| Input:
208+948
Target:
<scratch>
[2,0,8] has 3 digits.
[9,4,8] has 3 digits.
[2,0,8] + [9,4,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[2,0] + [9,4] , A=[6] , C=1 , 0+4+1=5 , A->5 , C->0
[2] + [9] , A=[5,6] , C=0 , 2+9+0=11 , A->1 , C->1
[] + [] , A=[1,5,6] C=1 , END
</scratch>
1156
| 1156 |
Input:
206+183
Target:
| Input:
206+183
Target:
<scratch>
[2,0,6] has 3 digits.
[1,8,3] has 3 digits.
[2,0,6] + [1,8,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[2,0] + [1,8] , A=[9] , C=0 , 0+8+0=8 , A->8 , C->0
[2] + [1] , A=[8,9] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,8,9] C=0 , END
</scratch>
389
| 389 |
Input:
580+898
Target:
| Input:
580+898
Target:
<scratch>
[5,8,0] has 3 digits.
[8,9,8] has 3 digits.
[5,8,0] + [8,9,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[5,8] + [8,9] , A=[8] , C=0 , 8+9+0=17 , A->7 , C->1
[5] + [8] , A=[7,8] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,7,8] C=1 , END
</scratch>
1478
| 1478 |
Input:
875+435
Target:
| Input:
875+435
Target:
<scratch>
[8,7,5] has 3 digits.
[4,3,5] has 3 digits.
[8,7,5] + [4,3,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[8,7] + [4,3] , A=[0] , C=1 , 7+3+1=11 , A->1 , C->1
[8] + [4] , A=[1,0] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,1,0] C=1 , END
</scratch>
1310
| 1310 |
Input:
615+747
Target:
| Input:
615+747
Target:
<scratch>
[6,1,5] has 3 digits.
[7,4,7] has 3 digits.
[6,1,5] + [7,4,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[6,1] + [7,4] , A=[2] , C=1 , 1+4+1=6 , A->6 , C->0
[6] + [7] , A=[6,2] , C=0 , 6+7+0=13 , A->3 , C->1
[] + [] , A=[3,6,2] C=1 , END
</scratch>
1362
| 1362 |
Input:
673+637
Target:
| Input:
673+637
Target:
<scratch>
[6,7,3] has 3 digits.
[6,3,7] has 3 digits.
[6,7,3] + [6,3,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[6,7] + [6,3] , A=[0] , C=1 , 7+3+1=11 , A->1 , C->1
[6] + [6] , A=[1,0] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,1,0] C=1 , END
</scratch>
1310
| 1310 |
Input:
10+129
Target:
| Input:
10+129
Target:
<scratch>
[1,0] has 2 digits.
[1,2,9] has 3 digits.
[1,0] + [1,2,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[1] + [1,2] , A=[9] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [1] , A=[3,9] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,3,9] C=0 , END
</scratch>
139
| 139 |
Input:
176+64
Target:
| Input:
176+64
Target:
<scratch>
[1,7,6] has 3 digits.
[6,4] has 2 digits.
[1,7,6] + [6,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[1,7] + [6] , A=[0] , C=1 , 7+6+1=14 , A->4 , C->1
[1] + [] , A=[4,0] , C=1 , 1+0+1=2 , A->2 , C->0
[] + [] , A=[2,4,0] C=0 , END
</scratch>
240
| 240 |
Input:
407+614
Target:
| Input:
407+614
Target:
<scratch>
[4,0,7] has 3 digits.
[6,1,4] has 3 digits.
[4,0,7] + [6,1,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[4,0] + [6,1] , A=[1] , C=1 , 0+1+1=2 , A->2 , C->0
[4] + [6] , A=[2,1] , C=0 , 4+6+0=10 , A->0 , C->1
[] + [] , A=[0,2,1] C=1 , END
</scratch>
1021
| 1021 |
Input:
772+221
Target:
| Input:
772+221
Target:
<scratch>
[7,7,2] has 3 digits.
[2,2,1] has 3 digits.
[7,7,2] + [2,2,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[7,7] + [2,2] , A=[3] , C=0 , 7+2+0=9 , A->9 , C->0
[7] + [2] , A=[9,3] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,3] C=0 , END
</scratch>
993
| 993 |
Input:
578+269
Target:
| Input:
578+269
Target:
<scratch>
[5,7,8] has 3 digits.
[2,6,9] has 3 digits.
[5,7,8] + [2,6,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[5,7] + [2,6] , A=[7] , C=1 , 7+6+1=14 , A->4 , C->1
[5] + [2] , A=[4,7] , C=1 , 5+2+1=8 , A->8 , C->0
[] + [] , A=[8,4,7] C=0 , END
</scratch>
847
| 847 |
Input:
155+548
Target:
| Input:
155+548
Target:
<scratch>
[1,5,5] has 3 digits.
[5,4,8] has 3 digits.
[1,5,5] + [5,4,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[1,5] + [5,4] , A=[3] , C=1 , 5+4+1=10 , A->0 , C->1
[1] + [5] , A=[0,3] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,0,3] C=0 , END
</scratch>
703
| 703 |
Input:
656+245
Target:
| Input:
656+245
Target:
<scratch>
[6,5,6] has 3 digits.
[2,4,5] has 3 digits.
[6,5,6] + [2,4,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[6,5] + [2,4] , A=[1] , C=1 , 5+4+1=10 , A->0 , C->1
[6] + [2] , A=[0,1] , C=1 , 6+2+1=9 , A->9 , C->0
[] + [] , A=[9,0,1] C=0 , END
</scratch>
901
| 901 |
Input:
990+698
Target:
| Input:
990+698
Target:
<scratch>
[9,9,0] has 3 digits.
[6,9,8] has 3 digits.
[9,9,0] + [6,9,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[9,9] + [6,9] , A=[8] , C=0 , 9+9+0=18 , A->8 , C->1
[9] + [6] , A=[8,8] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,8,8] C=1 , END
</scratch>
1688
| 1688 |
Input:
732+155
Target:
| Input:
732+155
Target:
<scratch>
[7,3,2] has 3 digits.
[1,5,5] has 3 digits.
[7,3,2] + [1,5,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[7,3] + [1,5] , A=[7] , C=0 , 3+5+0=8 , A->8 , C->0
[7] + [1] , A=[8,7] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,8,7] C=0 , END
</scratch>
887
| 887 |
Input:
897+411
Target:
| Input:
897+411
Target:
<scratch>
[8,9,7] has 3 digits.
[4,1,1] has 3 digits.
[8,9,7] + [4,1,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[8,9] + [4,1] , A=[8] , C=0 , 9+1+0=10 , A->0 , C->1
[8] + [4] , A=[0,8] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,0,8] C=1 , END
</scratch>
1308
| 1308 |
Input:
877+536
Target:
| Input:
877+536
Target:
<scratch>
[8,7,7] has 3 digits.
[5,3,6] has 3 digits.
[8,7,7] + [5,3,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[8,7] + [5,3] , A=[3] , C=1 , 7+3+1=11 , A->1 , C->1
[8] + [5] , A=[1,3] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,1,3] C=1 , END
</scratch>
1413
| 1413 |
Input:
916+788
Target:
| Input:
916+788
Target:
<scratch>
[9,1,6] has 3 digits.
[7,8,8] has 3 digits.
[9,1,6] + [7,8,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[9,1] + [7,8] , A=[4] , C=1 , 1+8+1=10 , A->0 , C->1
[9] + [7] , A=[0,4] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,0,4] C=1 , END
</scratch>
1704
| 1704 |
Input:
234+755
Target:
| Input:
234+755
Target:
<scratch>
[2,3,4] has 3 digits.
[7,5,5] has 3 digits.
[2,3,4] + [7,5,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[2,3] + [7,5] , A=[9] , C=0 , 3+5+0=8 , A->8 , C->0
[2] + [7] , A=[8,9] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,8,9] C=0 , END
</scratch>
989
| 989 |
Input:
90+705
Target:
| Input:
90+705
Target:
<scratch>
[9,0] has 2 digits.
[7,0,5] has 3 digits.
[9,0] + [7,0,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[9] + [7,0] , A=[5] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [7] , A=[9,5] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,9,5] C=0 , END
</scratch>
795
| 795 |
Input:
146+22
Target:
| Input:
146+22
Target:
<scratch>
[1,4,6] has 3 digits.
[2,2] has 2 digits.
[1,4,6] + [2,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[1,4] + [2] , A=[8] , C=0 , 4+2+0=6 , A->6 , C->0
[1] + [] , A=[6,8] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,6,8] C=0 , END
</scratch>
168
| 168 |
Input:
39+493
Target:
| Input:
39+493
Target:
<scratch>
[3,9] has 2 digits.
[4,9,3] has 3 digits.
[3,9] + [4,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[3] + [4,9] , A=[2] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [4] , A=[3,2] , C=1 , 0+4+1=5 , A->5 , C->0
[] + [] , A=[5,3,2] C=0 , END
</scratch>
532
| 532 |
Input:
296+938
Target:
| Input:
296+938
Target:
<scratch>
[2,9,6] has 3 digits.
[9,3,8] has 3 digits.
[2,9,6] + [9,3,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[2,9] + [9,3] , A=[4] , C=1 , 9+3+1=13 , A->3 , C->1
[2] + [9] , A=[3,4] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,3,4] C=1 , END
</scratch>
1234
| 1234 |
Input:
385+38
Target:
| Input:
385+38
Target:
<scratch>
[3,8,5] has 3 digits.
[3,8] has 2 digits.
[3,8,5] + [3,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[3,8] + [3] , A=[3] , C=1 , 8+3+1=12 , A->2 , C->1
[3] + [] , A=[2,3] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [] , A=[4,2,3] C=0 , END
</scratch>
423
| 423 |
Input:
928+513
Target:
| Input:
928+513
Target:
<scratch>
[9,2,8] has 3 digits.
[5,1,3] has 3 digits.
[9,2,8] + [5,1,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,2] + [5,1] , A=[1] , C=1 , 2+1+1=4 , A->4 , C->0
[9] + [5] , A=[4,1] , C=0 , 9+5+0=14 , A->4 , C->1
[] + [] , A=[4,4,1] C=1 , END
</scratch>
1441
| 1441 |
Input:
637+871
Target:
| Input:
637+871
Target:
<scratch>
[6,3,7] has 3 digits.
[8,7,1] has 3 digits.
[6,3,7] + [8,7,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[6,3] + [8,7] , A=[8] , C=0 , 3+7+0=10 , A->0 , C->1
[6] + [8] , A=[0,8] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,0,8] C=1 , END
</scratch>
1508
| 1508 |
Input:
449+189
Target:
| Input:
449+189
Target:
<scratch>
[4,4,9] has 3 digits.
[1,8,9] has 3 digits.
[4,4,9] + [1,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[4,4] + [1,8] , A=[8] , C=1 , 4+8+1=13 , A->3 , C->1
[4] + [1] , A=[3,8] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [] , A=[6,3,8] C=0 , END
</scratch>
638
| 638 |
Input:
186+776
Target:
| Input:
186+776
Target:
<scratch>
[1,8,6] has 3 digits.
[7,7,6] has 3 digits.
[1,8,6] + [7,7,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[1,8] + [7,7] , A=[2] , C=1 , 8+7+1=16 , A->6 , C->1
[1] + [7] , A=[6,2] , C=1 , 1+7+1=9 , A->9 , C->0
[] + [] , A=[9,6,2] C=0 , END
</scratch>
962
| 962 |
Input:
665+366
Target:
| Input:
665+366
Target:
<scratch>
[6,6,5] has 3 digits.
[3,6,6] has 3 digits.
[6,6,5] + [3,6,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[6,6] + [3,6] , A=[1] , C=1 , 6+6+1=13 , A->3 , C->1
[6] + [3] , A=[3,1] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,3,1] C=1 , END
</scratch>
1031
| 1031 |
Input:
980+766
Target:
| Input:
980+766
Target:
<scratch>
[9,8,0] has 3 digits.
[7,6,6] has 3 digits.
[9,8,0] + [7,6,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[9,8] + [7,6] , A=[6] , C=0 , 8+6+0=14 , A->4 , C->1
[9] + [7] , A=[4,6] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,4,6] C=1 , END
</scratch>
1746
| 1746 |
Input:
512+187
Target:
| Input:
512+187
Target:
<scratch>
[5,1,2] has 3 digits.
[1,8,7] has 3 digits.
[5,1,2] + [1,8,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[5,1] + [1,8] , A=[9] , C=0 , 1+8+0=9 , A->9 , C->0
[5] + [1] , A=[9,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,9,9] C=0 , END
</scratch>
699
| 699 |
Input:
608+488
Target:
| Input:
608+488
Target:
<scratch>
[6,0,8] has 3 digits.
[4,8,8] has 3 digits.
[6,0,8] + [4,8,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[6,0] + [4,8] , A=[6] , C=1 , 0+8+1=9 , A->9 , C->0
[6] + [4] , A=[9,6] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,9,6] C=1 , END
</scratch>
1096
| 1096 |
Input:
936+487
Target:
| Input:
936+487
Target:
<scratch>
[9,3,6] has 3 digits.
[4,8,7] has 3 digits.
[9,3,6] + [4,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[9,3] + [4,8] , A=[3] , C=1 , 3+8+1=12 , A->2 , C->1
[9] + [4] , A=[2,3] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,2,3] C=1 , END
</scratch>
1423
| 1423 |
Input:
861+444
Target:
| Input:
861+444
Target:
<scratch>
[8,6,1] has 3 digits.
[4,4,4] has 3 digits.
[8,6,1] + [4,4,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[8,6] + [4,4] , A=[5] , C=0 , 6+4+0=10 , A->0 , C->1
[8] + [4] , A=[0,5] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,0,5] C=1 , END
</scratch>
1305
| 1305 |
Input:
947+305
Target:
| Input:
947+305
Target:
<scratch>
[9,4,7] has 3 digits.
[3,0,5] has 3 digits.
[9,4,7] + [3,0,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[9,4] + [3,0] , A=[2] , C=1 , 4+0+1=5 , A->5 , C->0
[9] + [3] , A=[5,2] , C=0 , 9+3+0=12 , A->2 , C->1
[] + [] , A=[2,5,2] C=1 , END
</scratch>
1252
| 1252 |
Input:
42+715
Target:
| Input:
42+715
Target:
<scratch>
[4,2] has 2 digits.
[7,1,5] has 3 digits.
[4,2] + [7,1,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[4] + [7,1] , A=[7] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [7] , A=[5,7] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,5,7] C=0 , END
</scratch>
757
| 757 |
Input:
724+240
Target:
| Input:
724+240
Target:
<scratch>
[7,2,4] has 3 digits.
[2,4,0] has 3 digits.
[7,2,4] + [2,4,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[7,2] + [2,4] , A=[4] , C=0 , 2+4+0=6 , A->6 , C->0
[7] + [2] , A=[6,4] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,6,4] C=0 , END
</scratch>
964
| 964 |
Input:
784+766
Target:
| Input:
784+766
Target:
<scratch>
[7,8,4] has 3 digits.
[7,6,6] has 3 digits.
[7,8,4] + [7,6,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[7,8] + [7,6] , A=[0] , C=1 , 8+6+1=15 , A->5 , C->1
[7] + [7] , A=[5,0] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,5,0] C=1 , END
</scratch>
1550
| 1550 |
Input:
798+172
Target:
| Input:
798+172
Target:
<scratch>
[7,9,8] has 3 digits.
[1,7,2] has 3 digits.
[7,9,8] + [1,7,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[7,9] + [1,7] , A=[0] , C=1 , 9+7+1=17 , A->7 , C->1
[7] + [1] , A=[7,0] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,7,0] C=0 , END
</scratch>
970
| 970 |
Input:
596+168
Target:
| Input:
596+168
Target:
<scratch>
[5,9,6] has 3 digits.
[1,6,8] has 3 digits.
[5,9,6] + [1,6,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,9] + [1,6] , A=[4] , C=1 , 9+6+1=16 , A->6 , C->1
[5] + [1] , A=[6,4] , C=1 , 5+1+1=7 , A->7 , C->0
[] + [] , A=[7,6,4] C=0 , END
</scratch>
764
| 764 |
Input:
421+224
Target:
| Input:
421+224
Target:
<scratch>
[4,2,1] has 3 digits.
[2,2,4] has 3 digits.
[4,2,1] + [2,2,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[4,2] + [2,2] , A=[5] , C=0 , 2+2+0=4 , A->4 , C->0
[4] + [2] , A=[4,5] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,4,5] C=0 , END
</scratch>
645
| 645 |
Input:
653+681
Target:
| Input:
653+681
Target:
<scratch>
[6,5,3] has 3 digits.
[6,8,1] has 3 digits.
[6,5,3] + [6,8,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[6,5] + [6,8] , A=[4] , C=0 , 5+8+0=13 , A->3 , C->1
[6] + [6] , A=[3,4] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,3,4] C=1 , END
</scratch>
1334
| 1334 |
Input:
488+802
Target:
| Input:
488+802
Target:
<scratch>
[4,8,8] has 3 digits.
[8,0,2] has 3 digits.
[4,8,8] + [8,0,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[4,8] + [8,0] , A=[0] , C=1 , 8+0+1=9 , A->9 , C->0
[4] + [8] , A=[9,0] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [] , A=[2,9,0] C=1 , END
</scratch>
1290
| 1290 |
Input:
476+246
Target:
| Input:
476+246
Target:
<scratch>
[4,7,6] has 3 digits.
[2,4,6] has 3 digits.
[4,7,6] + [2,4,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[4,7] + [2,4] , A=[2] , C=1 , 7+4+1=12 , A->2 , C->1
[4] + [2] , A=[2,2] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,2,2] C=0 , END
</scratch>
722
| 722 |
Input:
194+96
Target:
| Input:
194+96
Target:
<scratch>
[1,9,4] has 3 digits.
[9,6] has 2 digits.
[1,9,4] + [9,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[1,9] + [9] , A=[0] , C=1 , 9+9+1=19 , A->9 , C->1
[1] + [] , A=[9,0] , C=1 , 1+0+1=2 , A->2 , C->0
[] + [] , A=[2,9,0] C=0 , END
</scratch>
290
| 290 |
Input:
378+989
Target:
| Input:
378+989
Target:
<scratch>
[3,7,8] has 3 digits.
[9,8,9] has 3 digits.
[3,7,8] + [9,8,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[3,7] + [9,8] , A=[7] , C=1 , 7+8+1=16 , A->6 , C->1
[3] + [9] , A=[6,7] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,6,7] C=1 , END
</scratch>
1367
| 1367 |
Input:
871+298
Target:
| Input:
871+298
Target:
<scratch>
[8,7,1] has 3 digits.
[2,9,8] has 3 digits.
[8,7,1] + [2,9,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[8,7] + [2,9] , A=[9] , C=0 , 7+9+0=16 , A->6 , C->1
[8] + [2] , A=[6,9] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,6,9] C=1 , END
</scratch>
1169
| 1169 |
Input:
450+230
Target:
| Input:
450+230
Target:
<scratch>
[4,5,0] has 3 digits.
[2,3,0] has 3 digits.
[4,5,0] + [2,3,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[4,5] + [2,3] , A=[0] , C=0 , 5+3+0=8 , A->8 , C->0
[4] + [2] , A=[8,0] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,8,0] C=0 , END
</scratch>
680
| 680 |
Input:
178+377
Target:
| Input:
178+377
Target:
<scratch>
[1,7,8] has 3 digits.
[3,7,7] has 3 digits.
[1,7,8] + [3,7,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[1,7] + [3,7] , A=[5] , C=1 , 7+7+1=15 , A->5 , C->1
[1] + [3] , A=[5,5] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,5,5] C=0 , END
</scratch>
555
| 555 |
Input:
665+214
Target:
| Input:
665+214
Target:
<scratch>
[6,6,5] has 3 digits.
[2,1,4] has 3 digits.
[6,6,5] + [2,1,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[6,6] + [2,1] , A=[9] , C=0 , 6+1+0=7 , A->7 , C->0
[6] + [2] , A=[7,9] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,7,9] C=0 , END
</scratch>
879
| 879 |
Input:
237+642
Target:
| Input:
237+642
Target:
<scratch>
[2,3,7] has 3 digits.
[6,4,2] has 3 digits.
[2,3,7] + [6,4,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[2,3] + [6,4] , A=[9] , C=0 , 3+4+0=7 , A->7 , C->0
[2] + [6] , A=[7,9] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,7,9] C=0 , END
</scratch>
879
| 879 |
Input:
439+510
Target:
| Input:
439+510
Target:
<scratch>
[4,3,9] has 3 digits.
[5,1,0] has 3 digits.
[4,3,9] + [5,1,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[4,3] + [5,1] , A=[9] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [5] , A=[4,9] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,4,9] C=0 , END
</scratch>
949
| 949 |
Input:
628+608
Target:
| Input:
628+608
Target:
<scratch>
[6,2,8] has 3 digits.
[6,0,8] has 3 digits.
[6,2,8] + [6,0,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[6,2] + [6,0] , A=[6] , C=1 , 2+0+1=3 , A->3 , C->0
[6] + [6] , A=[3,6] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,3,6] C=1 , END
</scratch>
1236
| 1236 |
Input:
57+258
Target:
| Input:
57+258
Target:
<scratch>
[5,7] has 2 digits.
[2,5,8] has 3 digits.
[5,7] + [2,5,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[5] + [2,5] , A=[5] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [2] , A=[1,5] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,1,5] C=0 , END
</scratch>
315
| 315 |
Input:
105+362
Target:
| Input:
105+362
Target:
<scratch>
[1,0,5] has 3 digits.
[3,6,2] has 3 digits.
[1,0,5] + [3,6,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[1,0] + [3,6] , A=[7] , C=0 , 0+6+0=6 , A->6 , C->0
[1] + [3] , A=[6,7] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,6,7] C=0 , END
</scratch>
467
| 467 |
Input:
191+189
Target:
| Input:
191+189
Target:
<scratch>
[1,9,1] has 3 digits.
[1,8,9] has 3 digits.
[1,9,1] + [1,8,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[1,9] + [1,8] , A=[0] , C=1 , 9+8+1=18 , A->8 , C->1
[1] + [1] , A=[8,0] , C=1 , 1+1+1=3 , A->3 , C->0
[] + [] , A=[3,8,0] C=0 , END
</scratch>
380
| 380 |
Input:
673+863
Target:
| Input:
673+863
Target:
<scratch>
[6,7,3] has 3 digits.
[8,6,3] has 3 digits.
[6,7,3] + [8,6,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[6,7] + [8,6] , A=[6] , C=0 , 7+6+0=13 , A->3 , C->1
[6] + [8] , A=[3,6] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,3,6] C=1 , END
</scratch>
1536
| 1536 |
Input:
244+322
Target:
| Input:
244+322
Target:
<scratch>
[2,4,4] has 3 digits.
[3,2,2] has 3 digits.
[2,4,4] + [3,2,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[2,4] + [3,2] , A=[6] , C=0 , 4+2+0=6 , A->6 , C->0
[2] + [3] , A=[6,6] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,6,6] C=0 , END
</scratch>
566
| 566 |
Input:
542+222
Target:
| Input:
542+222
Target:
<scratch>
[5,4,2] has 3 digits.
[2,2,2] has 3 digits.
[5,4,2] + [2,2,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[5,4] + [2,2] , A=[4] , C=0 , 4+2+0=6 , A->6 , C->0
[5] + [2] , A=[6,4] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,6,4] C=0 , END
</scratch>
764
| 764 |
Input:
720+127
Target:
| Input:
720+127
Target:
<scratch>
[7,2,0] has 3 digits.
[1,2,7] has 3 digits.
[7,2,0] + [1,2,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[7,2] + [1,2] , A=[7] , C=0 , 2+2+0=4 , A->4 , C->0
[7] + [1] , A=[4,7] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,4,7] C=0 , END
</scratch>
847
| 847 |
Input:
425+502
Target:
| Input:
425+502
Target:
<scratch>
[4,2,5] has 3 digits.
[5,0,2] has 3 digits.
[4,2,5] + [5,0,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[4,2] + [5,0] , A=[7] , C=0 , 2+0+0=2 , A->2 , C->0
[4] + [5] , A=[2,7] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,2,7] C=0 , END
</scratch>
927
| 927 |
Input:
883+444
Target:
| Input:
883+444
Target:
<scratch>
[8,8,3] has 3 digits.
[4,4,4] has 3 digits.
[8,8,3] + [4,4,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[8,8] + [4,4] , A=[7] , C=0 , 8+4+0=12 , A->2 , C->1
[8] + [4] , A=[2,7] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,2,7] C=1 , END
</scratch>
1327
| 1327 |
Input:
563+215
Target:
| Input:
563+215
Target:
<scratch>
[5,6,3] has 3 digits.
[2,1,5] has 3 digits.
[5,6,3] + [2,1,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[5,6] + [2,1] , A=[8] , C=0 , 6+1+0=7 , A->7 , C->0
[5] + [2] , A=[7,8] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,7,8] C=0 , END
</scratch>
778
| 778 |
Input:
466+543
Target:
| Input:
466+543
Target:
<scratch>
[4,6,6] has 3 digits.
[5,4,3] has 3 digits.
[4,6,6] + [5,4,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[4,6] + [5,4] , A=[9] , C=0 , 6+4+0=10 , A->0 , C->1
[4] + [5] , A=[0,9] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,0,9] C=1 , END
</scratch>
1009
| 1009 |
Input:
889+496
Target:
| Input:
889+496
Target:
<scratch>
[8,8,9] has 3 digits.
[4,9,6] has 3 digits.
[8,8,9] + [4,9,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[8,8] + [4,9] , A=[5] , C=1 , 8+9+1=18 , A->8 , C->1
[8] + [4] , A=[8,5] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,8,5] C=1 , END
</scratch>
1385
| 1385 |
Input:
28+600
Target:
| Input:
28+600
Target:
<scratch>
[2,8] has 2 digits.
[6,0,0] has 3 digits.
[2,8] + [6,0,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[2] + [6,0] , A=[8] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [6] , A=[2,8] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,2,8] C=0 , END
</scratch>
628
| 628 |
Input:
359+68
Target:
| Input:
359+68
Target:
<scratch>
[3,5,9] has 3 digits.
[6,8] has 2 digits.
[3,5,9] + [6,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[3,5] + [6] , A=[7] , C=1 , 5+6+1=12 , A->2 , C->1
[3] + [] , A=[2,7] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [] , A=[4,2,7] C=0 , END
</scratch>
427
| 427 |
Input:
414+677
Target:
| Input:
414+677
Target:
<scratch>
[4,1,4] has 3 digits.
[6,7,7] has 3 digits.
[4,1,4] + [6,7,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[4,1] + [6,7] , A=[1] , C=1 , 1+7+1=9 , A->9 , C->0
[4] + [6] , A=[9,1] , C=0 , 4+6+0=10 , A->0 , C->1
[] + [] , A=[0,9,1] C=1 , END
</scratch>
1091
| 1091 |
Input:
101+92
Target:
| Input:
101+92
Target:
<scratch>
[1,0,1] has 3 digits.
[9,2] has 2 digits.
[1,0,1] + [9,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[1,0] + [9] , A=[3] , C=0 , 0+9+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:
805+988
Target:
| Input:
805+988
Target:
<scratch>
[8,0,5] has 3 digits.
[9,8,8] has 3 digits.
[8,0,5] + [9,8,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8,0] + [9,8] , A=[3] , C=1 , 0+8+1=9 , A->9 , C->0
[8] + [9] , A=[9,3] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,9,3] C=1 , END
</scratch>
1793
| 1793 |
Input:
358+520
Target:
| Input:
358+520
Target:
<scratch>
[3,5,8] has 3 digits.
[5,2,0] has 3 digits.
[3,5,8] + [5,2,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[3,5] + [5,2] , A=[8] , C=0 , 5+2+0=7 , A->7 , C->0
[3] + [5] , A=[7,8] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,7,8] C=0 , END
</scratch>
878
| 878 |
Input:
142+443
Target:
| Input:
142+443
Target:
<scratch>
[1,4,2] has 3 digits.
[4,4,3] has 3 digits.
[1,4,2] + [4,4,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,4] + [4,4] , A=[5] , C=0 , 4+4+0=8 , A->8 , C->0
[1] + [4] , A=[8,5] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,8,5] C=0 , END
</scratch>
585
| 585 |
Input:
51+711
Target:
| Input:
51+711
Target:
<scratch>
[5,1] has 2 digits.
[7,1,1] has 3 digits.
[5,1] + [7,1,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[5] + [7,1] , A=[2] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [7] , A=[6,2] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,6,2] C=0 , END
</scratch>
762
| 762 |
Input:
328+914
Target:
| Input:
328+914
Target:
<scratch>
[3,2,8] has 3 digits.
[9,1,4] has 3 digits.
[3,2,8] + [9,1,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[3,2] + [9,1] , A=[2] , C=1 , 2+1+1=4 , A->4 , C->0
[3] + [9] , A=[4,2] , C=0 , 3+9+0=12 , A->2 , C->1
[] + [] , A=[2,4,2] C=1 , END
</scratch>
1242
| 1242 |
Input:
113+176
Target:
| Input:
113+176
Target:
<scratch>
[1,1,3] has 3 digits.
[1,7,6] has 3 digits.
[1,1,3] + [1,7,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[1,1] + [1,7] , A=[9] , C=0 , 1+7+0=8 , A->8 , C->0
[1] + [1] , A=[8,9] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,8,9] C=0 , END
</scratch>
289
| 289 |
Input:
497+849
Target:
| Input:
497+849
Target:
<scratch>
[4,9,7] has 3 digits.
[8,4,9] has 3 digits.
[4,9,7] + [8,4,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[4,9] + [8,4] , A=[6] , C=1 , 9+4+1=14 , A->4 , C->1
[4] + [8] , A=[4,6] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,4,6] C=1 , END
</scratch>
1346
| 1346 |
Input:
156+374
Target:
| Input:
156+374
Target:
<scratch>
[1,5,6] has 3 digits.
[3,7,4] has 3 digits.
[1,5,6] + [3,7,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[1,5] + [3,7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[1] + [3] , A=[3,0] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,3,0] C=0 , END
</scratch>
530
| 530 |
Input:
789+177
Target:
| Input:
789+177
Target:
<scratch>
[7,8,9] has 3 digits.
[1,7,7] has 3 digits.
[7,8,9] + [1,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[7,8] + [1,7] , A=[6] , C=1 , 8+7+1=16 , A->6 , C->1
[7] + [1] , A=[6,6] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,6,6] C=0 , END
</scratch>
966
| 966 |
Input:
374+414
Target:
| Input:
374+414
Target:
<scratch>
[3,7,4] has 3 digits.
[4,1,4] has 3 digits.
[3,7,4] + [4,1,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[3,7] + [4,1] , A=[8] , C=0 , 7+1+0=8 , A->8 , C->0
[3] + [4] , A=[8,8] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,8,8] C=0 , END
</scratch>
788
| 788 |
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