input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
31+614
Target:
| Input:
31+614
Target:
<scratch>
[3,1] has 2 digits.
[6,1,4] has 3 digits.
[3,1] + [6,1,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[3] + [6,1] , A=[5] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [6] , A=[4,5] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,4,5] C=0 , END
</scratch>
645
| 645 |
Input:
349+447
Target:
| Input:
349+447
Target:
<scratch>
[3,4,9] has 3 digits.
[4,4,7] has 3 digits.
[3,4,9] + [4,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[3,4] + [4,4] , A=[6] , C=1 , 4+4+1=9 , A->9 , C->0
[3] + [4] , A=[9,6] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,9,6] C=0 , END
</scratch>
796
| 796 |
Input:
876+329
Target:
| Input:
876+329
Target:
<scratch>
[8,7,6] has 3 digits.
[3,2,9] has 3 digits.
[8,7,6] + [3,2,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[8,7] + [3,2] , A=[5] , C=1 , 7+2+1=10 , A->0 , C->1
[8] + [3] , A=[0,5] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,0,5] C=1 , END
</scratch>
1205
| 1205 |
Input:
739+372
Target:
| Input:
739+372
Target:
<scratch>
[7,3,9] has 3 digits.
[3,7,2] has 3 digits.
[7,3,9] + [3,7,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[7,3] + [3,7] , A=[1] , C=1 , 3+7+1=11 , A->1 , C->1
[7] + [3] , A=[1,1] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,1,1] C=1 , END
</scratch>
1111
| 1111 |
Input:
588+926
Target:
| Input:
588+926
Target:
<scratch>
[5,8,8] has 3 digits.
[9,2,6] has 3 digits.
[5,8,8] + [9,2,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[5,8] + [9,2] , A=[4] , C=1 , 8+2+1=11 , A->1 , C->1
[5] + [9] , A=[1,4] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,1,4] C=1 , END
</scratch>
1514
| 1514 |
Input:
433+271
Target:
| Input:
433+271
Target:
<scratch>
[4,3,3] has 3 digits.
[2,7,1] has 3 digits.
[4,3,3] + [2,7,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[4,3] + [2,7] , A=[4] , C=0 , 3+7+0=10 , A->0 , C->1
[4] + [2] , A=[0,4] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,0,4] C=0 , END
</scratch>
704
| 704 |
Input:
751+841
Target:
| Input:
751+841
Target:
<scratch>
[7,5,1] has 3 digits.
[8,4,1] has 3 digits.
[7,5,1] + [8,4,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[7,5] + [8,4] , A=[2] , C=0 , 5+4+0=9 , A->9 , C->0
[7] + [8] , A=[9,2] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,9,2] C=1 , END
</scratch>
1592
| 1592 |
Input:
384+565
Target:
| Input:
384+565
Target:
<scratch>
[3,8,4] has 3 digits.
[5,6,5] has 3 digits.
[3,8,4] + [5,6,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[3,8] + [5,6] , A=[9] , C=0 , 8+6+0=14 , A->4 , C->1
[3] + [5] , A=[4,9] , C=1 , 3+5+1=9 , A->9 , C->0
[] + [] , A=[9,4,9] C=0 , END
</scratch>
949
| 949 |
Input:
635+198
Target:
| Input:
635+198
Target:
<scratch>
[6,3,5] has 3 digits.
[1,9,8] has 3 digits.
[6,3,5] + [1,9,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[6,3] + [1,9] , A=[3] , C=1 , 3+9+1=13 , A->3 , C->1
[6] + [1] , A=[3,3] , C=1 , 6+1+1=8 , A->8 , C->0
[] + [] , A=[8,3,3] C=0 , END
</scratch>
833
| 833 |
Input:
146+517
Target:
| Input:
146+517
Target:
<scratch>
[1,4,6] has 3 digits.
[5,1,7] has 3 digits.
[1,4,6] + [5,1,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[1,4] + [5,1] , A=[3] , C=1 , 4+1+1=6 , A->6 , C->0
[1] + [5] , A=[6,3] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,6,3] C=0 , END
</scratch>
663
| 663 |
Input:
952+224
Target:
| Input:
952+224
Target:
<scratch>
[9,5,2] has 3 digits.
[2,2,4] has 3 digits.
[9,5,2] + [2,2,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[9,5] + [2,2] , A=[6] , C=0 , 5+2+0=7 , A->7 , C->0
[9] + [2] , A=[7,6] , C=0 , 9+2+0=11 , A->1 , C->1
[] + [] , A=[1,7,6] C=1 , END
</scratch>
1176
| 1176 |
Input:
41+968
Target:
| Input:
41+968
Target:
<scratch>
[4,1] has 2 digits.
[9,6,8] has 3 digits.
[4,1] + [9,6,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[4] + [9,6] , A=[9] , C=0 , 4+6+0=10 , A->0 , C->1
[] + [9] , A=[0,9] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,0,9] C=1 , END
</scratch>
1009
| 1009 |
Input:
26+669
Target:
| Input:
26+669
Target:
<scratch>
[2,6] has 2 digits.
[6,6,9] has 3 digits.
[2,6] + [6,6,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[2] + [6,6] , A=[5] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [6] , A=[9,5] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,9,5] C=0 , END
</scratch>
695
| 695 |
Input:
872+519
Target:
| Input:
872+519
Target:
<scratch>
[8,7,2] has 3 digits.
[5,1,9] has 3 digits.
[8,7,2] + [5,1,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[8,7] + [5,1] , A=[1] , C=1 , 7+1+1=9 , A->9 , C->0
[8] + [5] , A=[9,1] , C=0 , 8+5+0=13 , A->3 , C->1
[] + [] , A=[3,9,1] C=1 , END
</scratch>
1391
| 1391 |
Input:
338+894
Target:
| Input:
338+894
Target:
<scratch>
[3,3,8] has 3 digits.
[8,9,4] has 3 digits.
[3,3,8] + [8,9,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[3,3] + [8,9] , A=[2] , C=1 , 3+9+1=13 , A->3 , C->1
[3] + [8] , A=[3,2] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,3,2] C=1 , END
</scratch>
1232
| 1232 |
Input:
949+178
Target:
| Input:
949+178
Target:
<scratch>
[9,4,9] has 3 digits.
[1,7,8] has 3 digits.
[9,4,9] + [1,7,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[9,4] + [1,7] , A=[7] , C=1 , 4+7+1=12 , A->2 , C->1
[9] + [1] , A=[2,7] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,2,7] C=1 , END
</scratch>
1127
| 1127 |
Input:
267+343
Target:
| Input:
267+343
Target:
<scratch>
[2,6,7] has 3 digits.
[3,4,3] has 3 digits.
[2,6,7] + [3,4,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[2,6] + [3,4] , A=[0] , C=1 , 6+4+1=11 , A->1 , C->1
[2] + [3] , A=[1,0] , C=1 , 2+3+1=6 , A->6 , C->0
[] + [] , A=[6,1,0] C=0 , END
</scratch>
610
| 610 |
Input:
461+412
Target:
| Input:
461+412
Target:
<scratch>
[4,6,1] has 3 digits.
[4,1,2] has 3 digits.
[4,6,1] + [4,1,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[4,6] + [4,1] , A=[3] , C=0 , 6+1+0=7 , A->7 , C->0
[4] + [4] , A=[7,3] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,7,3] C=0 , END
</scratch>
873
| 873 |
Input:
690+156
Target:
| Input:
690+156
Target:
<scratch>
[6,9,0] has 3 digits.
[1,5,6] has 3 digits.
[6,9,0] + [1,5,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[6,9] + [1,5] , A=[6] , C=0 , 9+5+0=14 , A->4 , C->1
[6] + [1] , A=[4,6] , C=1 , 6+1+1=8 , A->8 , C->0
[] + [] , A=[8,4,6] C=0 , END
</scratch>
846
| 846 |
Input:
117+685
Target:
| Input:
117+685
Target:
<scratch>
[1,1,7] has 3 digits.
[6,8,5] has 3 digits.
[1,1,7] + [6,8,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[1,1] + [6,8] , A=[2] , C=1 , 1+8+1=10 , A->0 , C->1
[1] + [6] , A=[0,2] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,0,2] C=0 , END
</scratch>
802
| 802 |
Input:
150+337
Target:
| Input:
150+337
Target:
<scratch>
[1,5,0] has 3 digits.
[3,3,7] has 3 digits.
[1,5,0] + [3,3,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[1,5] + [3,3] , A=[7] , C=0 , 5+3+0=8 , A->8 , C->0
[1] + [3] , A=[8,7] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,8,7] C=0 , END
</scratch>
487
| 487 |
Input:
975+481
Target:
| Input:
975+481
Target:
<scratch>
[9,7,5] has 3 digits.
[4,8,1] has 3 digits.
[9,7,5] + [4,8,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[9,7] + [4,8] , A=[6] , C=0 , 7+8+0=15 , A->5 , C->1
[9] + [4] , A=[5,6] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,5,6] C=1 , END
</scratch>
1456
| 1456 |
Input:
498+852
Target:
| Input:
498+852
Target:
<scratch>
[4,9,8] has 3 digits.
[8,5,2] has 3 digits.
[4,9,8] + [8,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[4,9] + [8,5] , A=[0] , C=1 , 9+5+1=15 , A->5 , C->1
[4] + [8] , A=[5,0] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,5,0] C=1 , END
</scratch>
1350
| 1350 |
Input:
796+32
Target:
| Input:
796+32
Target:
<scratch>
[7,9,6] has 3 digits.
[3,2] has 2 digits.
[7,9,6] + [3,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[7,9] + [3] , A=[8] , C=0 , 9+3+0=12 , A->2 , C->1
[7] + [] , A=[2,8] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,2,8] C=0 , END
</scratch>
828
| 828 |
Input:
221+754
Target:
| Input:
221+754
Target:
<scratch>
[2,2,1] has 3 digits.
[7,5,4] has 3 digits.
[2,2,1] + [7,5,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[2,2] + [7,5] , A=[5] , C=0 , 2+5+0=7 , A->7 , C->0
[2] + [7] , A=[7,5] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,7,5] C=0 , END
</scratch>
975
| 975 |
Input:
608+118
Target:
| Input:
608+118
Target:
<scratch>
[6,0,8] has 3 digits.
[1,1,8] has 3 digits.
[6,0,8] + [1,1,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[6,0] + [1,1] , A=[6] , C=1 , 0+1+1=2 , A->2 , C->0
[6] + [1] , A=[2,6] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,2,6] C=0 , END
</scratch>
726
| 726 |
Input:
276+780
Target:
| Input:
276+780
Target:
<scratch>
[2,7,6] has 3 digits.
[7,8,0] has 3 digits.
[2,7,6] + [7,8,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[2,7] + [7,8] , A=[6] , C=0 , 7+8+0=15 , A->5 , C->1
[2] + [7] , A=[5,6] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,5,6] C=1 , END
</scratch>
1056
| 1056 |
Input:
893+775
Target:
| Input:
893+775
Target:
<scratch>
[8,9,3] has 3 digits.
[7,7,5] has 3 digits.
[8,9,3] + [7,7,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[8,9] + [7,7] , A=[8] , C=0 , 9+7+0=16 , A->6 , C->1
[8] + [7] , A=[6,8] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,6,8] C=1 , END
</scratch>
1668
| 1668 |
Input:
940+101
Target:
| Input:
940+101
Target:
<scratch>
[9,4,0] has 3 digits.
[1,0,1] has 3 digits.
[9,4,0] + [1,0,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[9,4] + [1,0] , A=[1] , C=0 , 4+0+0=4 , A->4 , C->0
[9] + [1] , A=[4,1] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,4,1] C=1 , END
</scratch>
1041
| 1041 |
Input:
219+291
Target:
| Input:
219+291
Target:
<scratch>
[2,1,9] has 3 digits.
[2,9,1] has 3 digits.
[2,1,9] + [2,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[2,1] + [2,9] , A=[0] , C=1 , 1+9+1=11 , A->1 , C->1
[2] + [2] , A=[1,0] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,1,0] C=0 , END
</scratch>
510
| 510 |
Input:
160+343
Target:
| Input:
160+343
Target:
<scratch>
[1,6,0] has 3 digits.
[3,4,3] has 3 digits.
[1,6,0] + [3,4,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[1,6] + [3,4] , A=[3] , C=0 , 6+4+0=10 , A->0 , C->1
[1] + [3] , A=[0,3] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,0,3] C=0 , END
</scratch>
503
| 503 |
Input:
674+746
Target:
| Input:
674+746
Target:
<scratch>
[6,7,4] has 3 digits.
[7,4,6] has 3 digits.
[6,7,4] + [7,4,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[6,7] + [7,4] , A=[0] , C=1 , 7+4+1=12 , A->2 , C->1
[6] + [7] , A=[2,0] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,2,0] C=1 , END
</scratch>
1420
| 1420 |
Input:
460+725
Target:
| Input:
460+725
Target:
<scratch>
[4,6,0] has 3 digits.
[7,2,5] has 3 digits.
[4,6,0] + [7,2,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[4,6] + [7,2] , A=[5] , C=0 , 6+2+0=8 , A->8 , C->0
[4] + [7] , A=[8,5] , C=0 , 4+7+0=11 , A->1 , C->1
[] + [] , A=[1,8,5] C=1 , END
</scratch>
1185
| 1185 |
Input:
145+516
Target:
| Input:
145+516
Target:
<scratch>
[1,4,5] has 3 digits.
[5,1,6] has 3 digits.
[1,4,5] + [5,1,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[1,4] + [5,1] , A=[1] , C=1 , 4+1+1=6 , A->6 , C->0
[1] + [5] , A=[6,1] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,6,1] C=0 , END
</scratch>
661
| 661 |
Input:
901+599
Target:
| Input:
901+599
Target:
<scratch>
[9,0,1] has 3 digits.
[5,9,9] has 3 digits.
[9,0,1] + [5,9,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[9,0] + [5,9] , A=[0] , C=1 , 0+9+1=10 , A->0 , C->1
[9] + [5] , A=[0,0] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,0,0] C=1 , END
</scratch>
1500
| 1500 |
Input:
85+487
Target:
| Input:
85+487
Target:
<scratch>
[8,5] has 2 digits.
[4,8,7] has 3 digits.
[8,5] + [4,8,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[8] + [4,8] , A=[2] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [4] , A=[7,2] , C=1 , 0+4+1=5 , A->5 , C->0
[] + [] , A=[5,7,2] C=0 , END
</scratch>
572
| 572 |
Input:
594+159
Target:
| Input:
594+159
Target:
<scratch>
[5,9,4] has 3 digits.
[1,5,9] has 3 digits.
[5,9,4] + [1,5,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[5,9] + [1,5] , A=[3] , C=1 , 9+5+1=15 , A->5 , C->1
[5] + [1] , A=[5,3] , C=1 , 5+1+1=7 , A->7 , C->0
[] + [] , A=[7,5,3] C=0 , END
</scratch>
753
| 753 |
Input:
169+892
Target:
| Input:
169+892
Target:
<scratch>
[1,6,9] has 3 digits.
[8,9,2] has 3 digits.
[1,6,9] + [8,9,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[1,6] + [8,9] , A=[1] , C=1 , 6+9+1=16 , A->6 , C->1
[1] + [8] , A=[6,1] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,6,1] C=1 , END
</scratch>
1061
| 1061 |
Input:
624+688
Target:
| Input:
624+688
Target:
<scratch>
[6,2,4] has 3 digits.
[6,8,8] has 3 digits.
[6,2,4] + [6,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[6,2] + [6,8] , A=[2] , C=1 , 2+8+1=11 , A->1 , C->1
[6] + [6] , A=[1,2] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
108+196
Target:
| Input:
108+196
Target:
<scratch>
[1,0,8] has 3 digits.
[1,9,6] has 3 digits.
[1,0,8] + [1,9,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[1,0] + [1,9] , A=[4] , C=1 , 0+9+1=10 , A->0 , C->1
[1] + [1] , A=[0,4] , C=1 , 1+1+1=3 , A->3 , C->0
[] + [] , A=[3,0,4] C=0 , END
</scratch>
304
| 304 |
Input:
521+391
Target:
| Input:
521+391
Target:
<scratch>
[5,2,1] has 3 digits.
[3,9,1] has 3 digits.
[5,2,1] + [3,9,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[5,2] + [3,9] , A=[2] , C=0 , 2+9+0=11 , A->1 , C->1
[5] + [3] , A=[1,2] , C=1 , 5+3+1=9 , A->9 , C->0
[] + [] , A=[9,1,2] C=0 , END
</scratch>
912
| 912 |
Input:
375+99
Target:
| Input:
375+99
Target:
<scratch>
[3,7,5] has 3 digits.
[9,9] has 2 digits.
[3,7,5] + [9,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[3,7] + [9] , A=[4] , C=1 , 7+9+1=17 , A->7 , C->1
[3] + [] , A=[7,4] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [] , A=[4,7,4] C=0 , END
</scratch>
474
| 474 |
Input:
862+795
Target:
| Input:
862+795
Target:
<scratch>
[8,6,2] has 3 digits.
[7,9,5] has 3 digits.
[8,6,2] + [7,9,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[8,6] + [7,9] , A=[7] , C=0 , 6+9+0=15 , A->5 , C->1
[8] + [7] , A=[5,7] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,5,7] C=1 , END
</scratch>
1657
| 1657 |
Input:
994+253
Target:
| Input:
994+253
Target:
<scratch>
[9,9,4] has 3 digits.
[2,5,3] has 3 digits.
[9,9,4] + [2,5,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[9,9] + [2,5] , A=[7] , C=0 , 9+5+0=14 , A->4 , C->1
[9] + [2] , A=[4,7] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,4,7] C=1 , END
</scratch>
1247
| 1247 |
Input:
13+930
Target:
| Input:
13+930
Target:
<scratch>
[1,3] has 2 digits.
[9,3,0] has 3 digits.
[1,3] + [9,3,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1] + [9,3] , A=[3] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [9] , A=[4,3] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,4,3] C=0 , END
</scratch>
943
| 943 |
Input:
935+678
Target:
| Input:
935+678
Target:
<scratch>
[9,3,5] has 3 digits.
[6,7,8] has 3 digits.
[9,3,5] + [6,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[9,3] + [6,7] , A=[3] , C=1 , 3+7+1=11 , A->1 , C->1
[9] + [6] , A=[1,3] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,1,3] C=1 , END
</scratch>
1613
| 1613 |
Input:
638+183
Target:
| Input:
638+183
Target:
<scratch>
[6,3,8] has 3 digits.
[1,8,3] has 3 digits.
[6,3,8] + [1,8,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[6,3] + [1,8] , A=[1] , C=1 , 3+8+1=12 , A->2 , C->1
[6] + [1] , A=[2,1] , C=1 , 6+1+1=8 , A->8 , C->0
[] + [] , A=[8,2,1] C=0 , END
</scratch>
821
| 821 |
Input:
449+225
Target:
| Input:
449+225
Target:
<scratch>
[4,4,9] has 3 digits.
[2,2,5] has 3 digits.
[4,4,9] + [2,2,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[4,4] + [2,2] , A=[4] , C=1 , 4+2+1=7 , A->7 , C->0
[4] + [2] , A=[7,4] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,7,4] C=0 , END
</scratch>
674
| 674 |
Input:
369+307
Target:
| Input:
369+307
Target:
<scratch>
[3,6,9] has 3 digits.
[3,0,7] has 3 digits.
[3,6,9] + [3,0,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[3,6] + [3,0] , A=[6] , C=1 , 6+0+1=7 , A->7 , C->0
[3] + [3] , A=[7,6] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,7,6] C=0 , END
</scratch>
676
| 676 |
Input:
534+242
Target:
| Input:
534+242
Target:
<scratch>
[5,3,4] has 3 digits.
[2,4,2] has 3 digits.
[5,3,4] + [2,4,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[5,3] + [2,4] , A=[6] , C=0 , 3+4+0=7 , A->7 , C->0
[5] + [2] , A=[7,6] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,7,6] C=0 , END
</scratch>
776
| 776 |
Input:
334+720
Target:
| Input:
334+720
Target:
<scratch>
[3,3,4] has 3 digits.
[7,2,0] has 3 digits.
[3,3,4] + [7,2,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[3,3] + [7,2] , A=[4] , C=0 , 3+2+0=5 , A->5 , C->0
[3] + [7] , A=[5,4] , C=0 , 3+7+0=10 , A->0 , C->1
[] + [] , A=[0,5,4] C=1 , END
</scratch>
1054
| 1054 |
Input:
861+146
Target:
| Input:
861+146
Target:
<scratch>
[8,6,1] has 3 digits.
[1,4,6] has 3 digits.
[8,6,1] + [1,4,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[8,6] + [1,4] , A=[7] , C=0 , 6+4+0=10 , A->0 , C->1
[8] + [1] , A=[0,7] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,0,7] C=1 , END
</scratch>
1007
| 1007 |
Input:
734+454
Target:
| Input:
734+454
Target:
<scratch>
[7,3,4] has 3 digits.
[4,5,4] has 3 digits.
[7,3,4] + [4,5,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[7,3] + [4,5] , A=[8] , C=0 , 3+5+0=8 , A->8 , C->0
[7] + [4] , A=[8,8] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,8,8] C=1 , END
</scratch>
1188
| 1188 |
Input:
558+217
Target:
| Input:
558+217
Target:
<scratch>
[5,5,8] has 3 digits.
[2,1,7] has 3 digits.
[5,5,8] + [2,1,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[5,5] + [2,1] , A=[5] , C=1 , 5+1+1=7 , A->7 , C->0
[5] + [2] , A=[7,5] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,7,5] C=0 , END
</scratch>
775
| 775 |
Input:
376+775
Target:
| Input:
376+775
Target:
<scratch>
[3,7,6] has 3 digits.
[7,7,5] has 3 digits.
[3,7,6] + [7,7,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[3,7] + [7,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[3] + [7] , A=[5,1] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,5,1] C=1 , END
</scratch>
1151
| 1151 |
Input:
500+248
Target:
| Input:
500+248
Target:
<scratch>
[5,0,0] has 3 digits.
[2,4,8] has 3 digits.
[5,0,0] + [2,4,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[5,0] + [2,4] , A=[8] , C=0 , 0+4+0=4 , A->4 , C->0
[5] + [2] , A=[4,8] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,4,8] C=0 , END
</scratch>
748
| 748 |
Input:
513+25
Target:
| Input:
513+25
Target:
<scratch>
[5,1,3] has 3 digits.
[2,5] has 2 digits.
[5,1,3] + [2,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[5,1] + [2] , A=[8] , C=0 , 1+2+0=3 , A->3 , C->0
[5] + [] , A=[3,8] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,3,8] C=0 , END
</scratch>
538
| 538 |
Input:
912+605
Target:
| Input:
912+605
Target:
<scratch>
[9,1,2] has 3 digits.
[6,0,5] has 3 digits.
[9,1,2] + [6,0,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[9,1] + [6,0] , A=[7] , C=0 , 1+0+0=1 , A->1 , C->0
[9] + [6] , A=[1,7] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [] , A=[5,1,7] C=1 , END
</scratch>
1517
| 1517 |
Input:
866+131
Target:
| Input:
866+131
Target:
<scratch>
[8,6,6] has 3 digits.
[1,3,1] has 3 digits.
[8,6,6] + [1,3,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[8,6] + [1,3] , A=[7] , C=0 , 6+3+0=9 , A->9 , C->0
[8] + [1] , A=[9,7] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
396+476
Target:
| Input:
396+476
Target:
<scratch>
[3,9,6] has 3 digits.
[4,7,6] has 3 digits.
[3,9,6] + [4,7,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[3,9] + [4,7] , A=[2] , C=1 , 9+7+1=17 , A->7 , C->1
[3] + [4] , A=[7,2] , C=1 , 3+4+1=8 , A->8 , C->0
[] + [] , A=[8,7,2] C=0 , END
</scratch>
872
| 872 |
Input:
728+660
Target:
| Input:
728+660
Target:
<scratch>
[7,2,8] has 3 digits.
[6,6,0] has 3 digits.
[7,2,8] + [6,6,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[7,2] + [6,6] , A=[8] , C=0 , 2+6+0=8 , A->8 , C->0
[7] + [6] , A=[8,8] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,8,8] C=1 , END
</scratch>
1388
| 1388 |
Input:
473+76
Target:
| Input:
473+76
Target:
<scratch>
[4,7,3] has 3 digits.
[7,6] has 2 digits.
[4,7,3] + [7,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[4,7] + [7] , A=[9] , C=0 , 7+7+0=14 , A->4 , C->1
[4] + [] , A=[4,9] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,4,9] C=0 , END
</scratch>
549
| 549 |
Input:
915+787
Target:
| Input:
915+787
Target:
<scratch>
[9,1,5] has 3 digits.
[7,8,7] has 3 digits.
[9,1,5] + [7,8,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,1] + [7,8] , A=[2] , C=1 , 1+8+1=10 , A->0 , C->1
[9] + [7] , A=[0,2] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,0,2] C=1 , END
</scratch>
1702
| 1702 |
Input:
629+667
Target:
| Input:
629+667
Target:
<scratch>
[6,2,9] has 3 digits.
[6,6,7] has 3 digits.
[6,2,9] + [6,6,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,2] + [6,6] , A=[6] , C=1 , 2+6+1=9 , A->9 , C->0
[6] + [6] , A=[9,6] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,9,6] C=1 , END
</scratch>
1296
| 1296 |
Input:
422+846
Target:
| Input:
422+846
Target:
<scratch>
[4,2,2] has 3 digits.
[8,4,6] has 3 digits.
[4,2,2] + [8,4,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[4,2] + [8,4] , A=[8] , C=0 , 2+4+0=6 , A->6 , C->0
[4] + [8] , A=[6,8] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [] , A=[2,6,8] C=1 , END
</scratch>
1268
| 1268 |
Input:
434+78
Target:
| Input:
434+78
Target:
<scratch>
[4,3,4] has 3 digits.
[7,8] has 2 digits.
[4,3,4] + [7,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[4,3] + [7] , A=[2] , C=1 , 3+7+1=11 , A->1 , C->1
[4] + [] , A=[1,2] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,1,2] C=0 , END
</scratch>
512
| 512 |
Input:
791+382
Target:
| Input:
791+382
Target:
<scratch>
[7,9,1] has 3 digits.
[3,8,2] has 3 digits.
[7,9,1] + [3,8,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[7,9] + [3,8] , A=[3] , C=0 , 9+8+0=17 , A->7 , C->1
[7] + [3] , A=[7,3] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,7,3] C=1 , END
</scratch>
1173
| 1173 |
Input:
106+752
Target:
| Input:
106+752
Target:
<scratch>
[1,0,6] has 3 digits.
[7,5,2] has 3 digits.
[1,0,6] + [7,5,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[1,0] + [7,5] , A=[8] , C=0 , 0+5+0=5 , A->5 , C->0
[1] + [7] , A=[5,8] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,5,8] C=0 , END
</scratch>
858
| 858 |
Input:
244+235
Target:
| Input:
244+235
Target:
<scratch>
[2,4,4] has 3 digits.
[2,3,5] has 3 digits.
[2,4,4] + [2,3,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[2,4] + [2,3] , A=[9] , C=0 , 4+3+0=7 , A->7 , C->0
[2] + [2] , A=[7,9] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,7,9] C=0 , END
</scratch>
479
| 479 |
Input:
278+908
Target:
| Input:
278+908
Target:
<scratch>
[2,7,8] has 3 digits.
[9,0,8] has 3 digits.
[2,7,8] + [9,0,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[2,7] + [9,0] , A=[6] , C=1 , 7+0+1=8 , A->8 , C->0
[2] + [9] , A=[8,6] , C=0 , 2+9+0=11 , A->1 , C->1
[] + [] , A=[1,8,6] C=1 , END
</scratch>
1186
| 1186 |
Input:
195+855
Target:
| Input:
195+855
Target:
<scratch>
[1,9,5] has 3 digits.
[8,5,5] has 3 digits.
[1,9,5] + [8,5,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[1,9] + [8,5] , A=[0] , C=1 , 9+5+1=15 , A->5 , C->1
[1] + [8] , A=[5,0] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,5,0] C=1 , END
</scratch>
1050
| 1050 |
Input:
114+823
Target:
| Input:
114+823
Target:
<scratch>
[1,1,4] has 3 digits.
[8,2,3] has 3 digits.
[1,1,4] + [8,2,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[1,1] + [8,2] , A=[7] , C=0 , 1+2+0=3 , A->3 , C->0
[1] + [8] , A=[3,7] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,3,7] C=0 , END
</scratch>
937
| 937 |
Input:
976+557
Target:
| Input:
976+557
Target:
<scratch>
[9,7,6] has 3 digits.
[5,5,7] has 3 digits.
[9,7,6] + [5,5,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[9,7] + [5,5] , A=[3] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [5] , A=[3,3] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,3,3] C=1 , END
</scratch>
1533
| 1533 |
Input:
806+315
Target:
| Input:
806+315
Target:
<scratch>
[8,0,6] has 3 digits.
[3,1,5] has 3 digits.
[8,0,6] + [3,1,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[8,0] + [3,1] , A=[1] , C=1 , 0+1+1=2 , A->2 , C->0
[8] + [3] , A=[2,1] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,2,1] C=1 , END
</scratch>
1121
| 1121 |
Input:
570+286
Target:
| Input:
570+286
Target:
<scratch>
[5,7,0] has 3 digits.
[2,8,6] has 3 digits.
[5,7,0] + [2,8,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[5,7] + [2,8] , A=[6] , C=0 , 7+8+0=15 , A->5 , C->1
[5] + [2] , A=[5,6] , C=1 , 5+2+1=8 , A->8 , C->0
[] + [] , A=[8,5,6] C=0 , END
</scratch>
856
| 856 |
Input:
16+204
Target:
| Input:
16+204
Target:
<scratch>
[1,6] has 2 digits.
[2,0,4] has 3 digits.
[1,6] + [2,0,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[1] + [2,0] , A=[0] , C=1 , 1+0+1=2 , A->2 , C->0
[] + [2] , A=[2,0] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,2,0] C=0 , END
</scratch>
220
| 220 |
Input:
546+537
Target:
| Input:
546+537
Target:
<scratch>
[5,4,6] has 3 digits.
[5,3,7] has 3 digits.
[5,4,6] + [5,3,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[5,4] + [5,3] , A=[3] , C=1 , 4+3+1=8 , A->8 , C->0
[5] + [5] , A=[8,3] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [] , A=[0,8,3] C=1 , END
</scratch>
1083
| 1083 |
Input:
463+194
Target:
| Input:
463+194
Target:
<scratch>
[4,6,3] has 3 digits.
[1,9,4] has 3 digits.
[4,6,3] + [1,9,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[4,6] + [1,9] , A=[7] , C=0 , 6+9+0=15 , A->5 , C->1
[4] + [1] , A=[5,7] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [] , A=[6,5,7] C=0 , END
</scratch>
657
| 657 |
Input:
767+944
Target:
| Input:
767+944
Target:
<scratch>
[7,6,7] has 3 digits.
[9,4,4] has 3 digits.
[7,6,7] + [9,4,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[7,6] + [9,4] , A=[1] , C=1 , 6+4+1=11 , A->1 , C->1
[7] + [9] , A=[1,1] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,1,1] C=1 , END
</scratch>
1711
| 1711 |
Input:
641+214
Target:
| Input:
641+214
Target:
<scratch>
[6,4,1] has 3 digits.
[2,1,4] has 3 digits.
[6,4,1] + [2,1,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[6,4] + [2,1] , A=[5] , C=0 , 4+1+0=5 , A->5 , C->0
[6] + [2] , A=[5,5] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,5,5] C=0 , END
</scratch>
855
| 855 |
Input:
631+67
Target:
| Input:
631+67
Target:
<scratch>
[6,3,1] has 3 digits.
[6,7] has 2 digits.
[6,3,1] + [6,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[6,3] + [6] , A=[8] , C=0 , 3+6+0=9 , A->9 , C->0
[6] + [] , A=[9,8] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,9,8] C=0 , END
</scratch>
698
| 698 |
Input:
918+849
Target:
| Input:
918+849
Target:
<scratch>
[9,1,8] has 3 digits.
[8,4,9] has 3 digits.
[9,1,8] + [8,4,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[9,1] + [8,4] , A=[7] , C=1 , 1+4+1=6 , A->6 , C->0
[9] + [8] , A=[6,7] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,6,7] C=1 , END
</scratch>
1767
| 1767 |
Input:
598+777
Target:
| Input:
598+777
Target:
<scratch>
[5,9,8] has 3 digits.
[7,7,7] has 3 digits.
[5,9,8] + [7,7,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[5,9] + [7,7] , A=[5] , C=1 , 9+7+1=17 , A->7 , C->1
[5] + [7] , A=[7,5] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,7,5] C=1 , END
</scratch>
1375
| 1375 |
Input:
371+651
Target:
| Input:
371+651
Target:
<scratch>
[3,7,1] has 3 digits.
[6,5,1] has 3 digits.
[3,7,1] + [6,5,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[3,7] + [6,5] , A=[2] , C=0 , 7+5+0=12 , A->2 , C->1
[3] + [6] , A=[2,2] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,2,2] C=1 , END
</scratch>
1022
| 1022 |
Input:
808+616
Target:
| Input:
808+616
Target:
<scratch>
[8,0,8] has 3 digits.
[6,1,6] has 3 digits.
[8,0,8] + [6,1,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[8,0] + [6,1] , A=[4] , C=1 , 0+1+1=2 , A->2 , C->0
[8] + [6] , A=[2,4] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,2,4] C=1 , END
</scratch>
1424
| 1424 |
Input:
490+973
Target:
| Input:
490+973
Target:
<scratch>
[4,9,0] has 3 digits.
[9,7,3] has 3 digits.
[4,9,0] + [9,7,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[4,9] + [9,7] , A=[3] , C=0 , 9+7+0=16 , A->6 , C->1
[4] + [9] , A=[6,3] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,6,3] C=1 , END
</scratch>
1463
| 1463 |
Input:
920+379
Target:
| Input:
920+379
Target:
<scratch>
[9,2,0] has 3 digits.
[3,7,9] has 3 digits.
[9,2,0] + [3,7,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[9,2] + [3,7] , A=[9] , C=0 , 2+7+0=9 , A->9 , C->0
[9] + [3] , A=[9,9] , C=0 , 9+3+0=12 , A->2 , C->1
[] + [] , A=[2,9,9] C=1 , END
</scratch>
1299
| 1299 |
Input:
411+778
Target:
| Input:
411+778
Target:
<scratch>
[4,1,1] has 3 digits.
[7,7,8] has 3 digits.
[4,1,1] + [7,7,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[4,1] + [7,7] , A=[9] , C=0 , 1+7+0=8 , A->8 , C->0
[4] + [7] , A=[8,9] , C=0 , 4+7+0=11 , A->1 , C->1
[] + [] , A=[1,8,9] C=1 , END
</scratch>
1189
| 1189 |
Input:
96+383
Target:
| Input:
96+383
Target:
<scratch>
[9,6] has 2 digits.
[3,8,3] has 3 digits.
[9,6] + [3,8,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[9] + [3,8] , A=[9] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [3] , A=[7,9] , C=1 , 0+3+1=4 , A->4 , C->0
[] + [] , A=[4,7,9] C=0 , END
</scratch>
479
| 479 |
Input:
995+493
Target:
| Input:
995+493
Target:
<scratch>
[9,9,5] has 3 digits.
[4,9,3] has 3 digits.
[9,9,5] + [4,9,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[9,9] + [4,9] , A=[8] , C=0 , 9+9+0=18 , A->8 , C->1
[9] + [4] , A=[8,8] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,8,8] C=1 , END
</scratch>
1488
| 1488 |
Input:
935+831
Target:
| Input:
935+831
Target:
<scratch>
[9,3,5] has 3 digits.
[8,3,1] has 3 digits.
[9,3,5] + [8,3,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[9,3] + [8,3] , A=[6] , C=0 , 3+3+0=6 , A->6 , C->0
[9] + [8] , A=[6,6] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,6,6] C=1 , END
</scratch>
1766
| 1766 |
Input:
712+419
Target:
| Input:
712+419
Target:
<scratch>
[7,1,2] has 3 digits.
[4,1,9] has 3 digits.
[7,1,2] + [4,1,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[7,1] + [4,1] , A=[1] , C=1 , 1+1+1=3 , A->3 , C->0
[7] + [4] , A=[3,1] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,3,1] C=1 , END
</scratch>
1131
| 1131 |
Input:
38+178
Target:
| Input:
38+178
Target:
<scratch>
[3,8] has 2 digits.
[1,7,8] has 3 digits.
[3,8] + [1,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[3] + [1,7] , A=[6] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [1] , A=[1,6] , C=1 , 0+1+1=2 , A->2 , C->0
[] + [] , A=[2,1,6] C=0 , END
</scratch>
216
| 216 |
Input:
944+881
Target:
| Input:
944+881
Target:
<scratch>
[9,4,4] has 3 digits.
[8,8,1] has 3 digits.
[9,4,4] + [8,8,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[9,4] + [8,8] , A=[5] , C=0 , 4+8+0=12 , A->2 , C->1
[9] + [8] , A=[2,5] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,2,5] C=1 , END
</scratch>
1825
| 1825 |
Input:
841+784
Target:
| Input:
841+784
Target:
<scratch>
[8,4,1] has 3 digits.
[7,8,4] has 3 digits.
[8,4,1] + [7,8,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[8,4] + [7,8] , A=[5] , C=0 , 4+8+0=12 , A->2 , C->1
[8] + [7] , A=[2,5] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,2,5] C=1 , END
</scratch>
1625
| 1625 |
Input:
875+778
Target:
| Input:
875+778
Target:
<scratch>
[8,7,5] has 3 digits.
[7,7,8] has 3 digits.
[8,7,5] + [7,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8,7] + [7,7] , A=[3] , C=1 , 7+7+1=15 , A->5 , C->1
[8] + [7] , A=[5,3] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,5,3] C=1 , END
</scratch>
1653
| 1653 |
Input:
991+93
Target:
| Input:
991+93
Target:
<scratch>
[9,9,1] has 3 digits.
[9,3] has 2 digits.
[9,9,1] + [9,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[9,9] + [9] , A=[4] , C=0 , 9+9+0=18 , A->8 , C->1
[9] + [] , A=[8,4] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,8,4] C=1 , END
</scratch>
1084
| 1084 |
Input:
309+190
Target:
| Input:
309+190
Target:
<scratch>
[3,0,9] has 3 digits.
[1,9,0] has 3 digits.
[3,0,9] + [1,9,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[3,0] + [1,9] , A=[9] , C=0 , 0+9+0=9 , A->9 , C->0
[3] + [1] , A=[9,9] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,9,9] C=0 , END
</scratch>
499
| 499 |
Input:
586+377
Target:
| Input:
586+377
Target:
<scratch>
[5,8,6] has 3 digits.
[3,7,7] has 3 digits.
[5,8,6] + [3,7,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[5,8] + [3,7] , A=[3] , C=1 , 8+7+1=16 , A->6 , C->1
[5] + [3] , A=[6,3] , C=1 , 5+3+1=9 , A->9 , C->0
[] + [] , A=[9,6,3] C=0 , END
</scratch>
963
| 963 |
Input:
300+958
Target:
| Input:
300+958
Target:
<scratch>
[3,0,0] has 3 digits.
[9,5,8] has 3 digits.
[3,0,0] + [9,5,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[3,0] + [9,5] , A=[8] , C=0 , 0+5+0=5 , A->5 , C->0
[3] + [9] , A=[5,8] , C=0 , 3+9+0=12 , A->2 , C->1
[] + [] , A=[2,5,8] C=1 , END
</scratch>
1258
| 1258 |
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