input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
---|---|---|
Input:
910+878
Target:
| Input:
910+878
Target:
<scratch>
[9,1,0] has 3 digits.
[8,7,8] has 3 digits.
[9,1,0] + [8,7,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[9,1] + [8,7] , A=[8] , C=0 , 1+7+0=8 , A->8 , C->0
[9] + [8] , A=[8,8] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,8,8] C=1 , END
</scratch>
1788
| 1788 |
Input:
750+474
Target:
| Input:
750+474
Target:
<scratch>
[7,5,0] has 3 digits.
[4,7,4] has 3 digits.
[7,5,0] + [4,7,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[7,5] + [4,7] , A=[4] , C=0 , 5+7+0=12 , A->2 , C->1
[7] + [4] , A=[2,4] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,2,4] C=1 , END
</scratch>
1224
| 1224 |
Input:
577+837
Target:
| Input:
577+837
Target:
<scratch>
[5,7,7] has 3 digits.
[8,3,7] has 3 digits.
[5,7,7] + [8,3,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[5,7] + [8,3] , A=[4] , C=1 , 7+3+1=11 , A->1 , C->1
[5] + [8] , A=[1,4] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,1,4] C=1 , END
</scratch>
1414
| 1414 |
Input:
802+172
Target:
| Input:
802+172
Target:
<scratch>
[8,0,2] has 3 digits.
[1,7,2] has 3 digits.
[8,0,2] + [1,7,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[8,0] + [1,7] , A=[4] , C=0 , 0+7+0=7 , A->7 , C->0
[8] + [1] , A=[7,4] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,7,4] C=0 , END
</scratch>
974
| 974 |
Input:
683+822
Target:
| Input:
683+822
Target:
<scratch>
[6,8,3] has 3 digits.
[8,2,2] has 3 digits.
[6,8,3] + [8,2,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[6,8] + [8,2] , A=[5] , C=0 , 8+2+0=10 , A->0 , C->1
[6] + [8] , A=[0,5] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,0,5] C=1 , END
</scratch>
1505
| 1505 |
Input:
593+944
Target:
| Input:
593+944
Target:
<scratch>
[5,9,3] has 3 digits.
[9,4,4] has 3 digits.
[5,9,3] + [9,4,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[5,9] + [9,4] , A=[7] , C=0 , 9+4+0=13 , A->3 , C->1
[5] + [9] , A=[3,7] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,3,7] C=1 , END
</scratch>
1537
| 1537 |
Input:
100+835
Target:
| Input:
100+835
Target:
<scratch>
[1,0,0] has 3 digits.
[8,3,5] has 3 digits.
[1,0,0] + [8,3,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[1,0] + [8,3] , A=[5] , C=0 , 0+3+0=3 , A->3 , C->0
[1] + [8] , A=[3,5] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,3,5] C=0 , END
</scratch>
935
| 935 |
Input:
94+614
Target:
| Input:
94+614
Target:
<scratch>
[9,4] has 2 digits.
[6,1,4] has 3 digits.
[9,4] + [6,1,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[9] + [6,1] , A=[8] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [6] , A=[0,8] , C=1 , 0+6+1=7 , A->7 , C->0
[] + [] , A=[7,0,8] C=0 , END
</scratch>
708
| 708 |
Input:
643+299
Target:
| Input:
643+299
Target:
<scratch>
[6,4,3] has 3 digits.
[2,9,9] has 3 digits.
[6,4,3] + [2,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[6,4] + [2,9] , A=[2] , C=1 , 4+9+1=14 , A->4 , C->1
[6] + [2] , A=[4,2] , C=1 , 6+2+1=9 , A->9 , C->0
[] + [] , A=[9,4,2] C=0 , END
</scratch>
942
| 942 |
Input:
210+70
Target:
| Input:
210+70
Target:
<scratch>
[2,1,0] has 3 digits.
[7,0] has 2 digits.
[2,1,0] + [7,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[2,1] + [7] , A=[0] , C=0 , 1+7+0=8 , A->8 , C->0
[2] + [] , A=[8,0] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,8,0] C=0 , END
</scratch>
280
| 280 |
Input:
146+651
Target:
| Input:
146+651
Target:
<scratch>
[1,4,6] has 3 digits.
[6,5,1] has 3 digits.
[1,4,6] + [6,5,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[1,4] + [6,5] , A=[7] , C=0 , 4+5+0=9 , A->9 , C->0
[1] + [6] , A=[9,7] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,9,7] C=0 , END
</scratch>
797
| 797 |
Input:
992+455
Target:
| Input:
992+455
Target:
<scratch>
[9,9,2] has 3 digits.
[4,5,5] has 3 digits.
[9,9,2] + [4,5,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[9,9] + [4,5] , A=[7] , C=0 , 9+5+0=14 , A->4 , C->1
[9] + [4] , A=[4,7] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,4,7] C=1 , END
</scratch>
1447
| 1447 |
Input:
489+979
Target:
| Input:
489+979
Target:
<scratch>
[4,8,9] has 3 digits.
[9,7,9] has 3 digits.
[4,8,9] + [9,7,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[4,8] + [9,7] , A=[8] , C=1 , 8+7+1=16 , A->6 , C->1
[4] + [9] , A=[6,8] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,6,8] C=1 , END
</scratch>
1468
| 1468 |
Input:
508+107
Target:
| Input:
508+107
Target:
<scratch>
[5,0,8] has 3 digits.
[1,0,7] has 3 digits.
[5,0,8] + [1,0,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[5,0] + [1,0] , A=[5] , C=1 , 0+0+1=1 , A->1 , C->0
[5] + [1] , A=[1,5] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,1,5] C=0 , END
</scratch>
615
| 615 |
Input:
288+46
Target:
| Input:
288+46
Target:
<scratch>
[2,8,8] has 3 digits.
[4,6] has 2 digits.
[2,8,8] + [4,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[2,8] + [4] , A=[4] , C=1 , 8+4+1=13 , A->3 , C->1
[2] + [] , A=[3,4] , C=1 , 2+0+1=3 , A->3 , C->0
[] + [] , A=[3,3,4] C=0 , END
</scratch>
334
| 334 |
Input:
167+676
Target:
| Input:
167+676
Target:
<scratch>
[1,6,7] has 3 digits.
[6,7,6] has 3 digits.
[1,6,7] + [6,7,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[1,6] + [6,7] , A=[3] , C=1 , 6+7+1=14 , A->4 , C->1
[1] + [6] , A=[4,3] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,4,3] C=0 , END
</scratch>
843
| 843 |
Input:
103+21
Target:
| Input:
103+21
Target:
<scratch>
[1,0,3] has 3 digits.
[2,1] has 2 digits.
[1,0,3] + [2,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[1,0] + [2] , A=[4] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [] , A=[2,4] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,2,4] C=0 , END
</scratch>
124
| 124 |
Input:
194+339
Target:
| Input:
194+339
Target:
<scratch>
[1,9,4] has 3 digits.
[3,3,9] has 3 digits.
[1,9,4] + [3,3,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[1,9] + [3,3] , A=[3] , C=1 , 9+3+1=13 , A->3 , C->1
[1] + [3] , A=[3,3] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,3,3] C=0 , END
</scratch>
533
| 533 |
Input:
708+919
Target:
| Input:
708+919
Target:
<scratch>
[7,0,8] has 3 digits.
[9,1,9] has 3 digits.
[7,0,8] + [9,1,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[7,0] + [9,1] , A=[7] , C=1 , 0+1+1=2 , A->2 , C->0
[7] + [9] , A=[2,7] , C=0 , 7+9+0=16 , A->6 , C->1
[] + [] , A=[6,2,7] C=1 , END
</scratch>
1627
| 1627 |
Input:
744+494
Target:
| Input:
744+494
Target:
<scratch>
[7,4,4] has 3 digits.
[4,9,4] has 3 digits.
[7,4,4] + [4,9,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[7,4] + [4,9] , A=[8] , C=0 , 4+9+0=13 , A->3 , C->1
[7] + [4] , A=[3,8] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,3,8] C=1 , END
</scratch>
1238
| 1238 |
Input:
957+772
Target:
| Input:
957+772
Target:
<scratch>
[9,5,7] has 3 digits.
[7,7,2] has 3 digits.
[9,5,7] + [7,7,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[9,5] + [7,7] , A=[9] , C=0 , 5+7+0=12 , A->2 , C->1
[9] + [7] , A=[2,9] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,2,9] C=1 , END
</scratch>
1729
| 1729 |
Input:
127+758
Target:
| Input:
127+758
Target:
<scratch>
[1,2,7] has 3 digits.
[7,5,8] has 3 digits.
[1,2,7] + [7,5,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[1,2] + [7,5] , A=[5] , C=1 , 2+5+1=8 , A->8 , C->0
[1] + [7] , A=[8,5] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,8,5] C=0 , END
</scratch>
885
| 885 |
Input:
884+301
Target:
| Input:
884+301
Target:
<scratch>
[8,8,4] has 3 digits.
[3,0,1] has 3 digits.
[8,8,4] + [3,0,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[8,8] + [3,0] , A=[5] , C=0 , 8+0+0=8 , A->8 , C->0
[8] + [3] , A=[8,5] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,8,5] C=1 , END
</scratch>
1185
| 1185 |
Input:
958+174
Target:
| Input:
958+174
Target:
<scratch>
[9,5,8] has 3 digits.
[1,7,4] has 3 digits.
[9,5,8] + [1,7,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[9,5] + [1,7] , A=[2] , C=1 , 5+7+1=13 , A->3 , C->1
[9] + [1] , A=[3,2] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,3,2] C=1 , END
</scratch>
1132
| 1132 |
Input:
783+982
Target:
| Input:
783+982
Target:
<scratch>
[7,8,3] has 3 digits.
[9,8,2] has 3 digits.
[7,8,3] + [9,8,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[7,8] + [9,8] , A=[5] , C=0 , 8+8+0=16 , A->6 , C->1
[7] + [9] , A=[6,5] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,6,5] C=1 , END
</scratch>
1765
| 1765 |
Input:
972+838
Target:
| Input:
972+838
Target:
<scratch>
[9,7,2] has 3 digits.
[8,3,8] has 3 digits.
[9,7,2] + [8,3,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[9,7] + [8,3] , A=[0] , C=1 , 7+3+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:
84+297
Target:
| Input:
84+297
Target:
<scratch>
[8,4] has 2 digits.
[2,9,7] has 3 digits.
[8,4] + [2,9,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8] + [2,9] , A=[1] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [2] , A=[8,1] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,8,1] C=0 , END
</scratch>
381
| 381 |
Input:
110+775
Target:
| Input:
110+775
Target:
<scratch>
[1,1,0] has 3 digits.
[7,7,5] has 3 digits.
[1,1,0] + [7,7,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[1,1] + [7,7] , A=[5] , C=0 , 1+7+0=8 , A->8 , C->0
[1] + [7] , A=[8,5] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,8,5] C=0 , END
</scratch>
885
| 885 |
Input:
787+569
Target:
| Input:
787+569
Target:
<scratch>
[7,8,7] has 3 digits.
[5,6,9] has 3 digits.
[7,8,7] + [5,6,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[7,8] + [5,6] , A=[6] , C=1 , 8+6+1=15 , A->5 , C->1
[7] + [5] , A=[5,6] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,5,6] C=1 , END
</scratch>
1356
| 1356 |
Input:
964+453
Target:
| Input:
964+453
Target:
<scratch>
[9,6,4] has 3 digits.
[4,5,3] has 3 digits.
[9,6,4] + [4,5,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[9,6] + [4,5] , A=[7] , C=0 , 6+5+0=11 , A->1 , C->1
[9] + [4] , A=[1,7] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,1,7] C=1 , END
</scratch>
1417
| 1417 |
Input:
517+423
Target:
| Input:
517+423
Target:
<scratch>
[5,1,7] has 3 digits.
[4,2,3] has 3 digits.
[5,1,7] + [4,2,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[5,1] + [4,2] , A=[0] , C=1 , 1+2+1=4 , A->4 , C->0
[5] + [4] , A=[4,0] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,4,0] C=0 , END
</scratch>
940
| 940 |
Input:
797+733
Target:
| Input:
797+733
Target:
<scratch>
[7,9,7] has 3 digits.
[7,3,3] has 3 digits.
[7,9,7] + [7,3,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[7,9] + [7,3] , A=[0] , C=1 , 9+3+1=13 , A->3 , C->1
[7] + [7] , A=[3,0] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,3,0] C=1 , END
</scratch>
1530
| 1530 |
Input:
617+511
Target:
| Input:
617+511
Target:
<scratch>
[6,1,7] has 3 digits.
[5,1,1] has 3 digits.
[6,1,7] + [5,1,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[6,1] + [5,1] , A=[8] , C=0 , 1+1+0=2 , A->2 , C->0
[6] + [5] , A=[2,8] , C=0 , 6+5+0=11 , A->1 , C->1
[] + [] , A=[1,2,8] C=1 , END
</scratch>
1128
| 1128 |
Input:
17+270
Target:
| Input:
17+270
Target:
<scratch>
[1,7] has 2 digits.
[2,7,0] has 3 digits.
[1,7] + [2,7,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[1] + [2,7] , A=[7] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [2] , A=[8,7] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,8,7] C=0 , END
</scratch>
287
| 287 |
Input:
890+57
Target:
| Input:
890+57
Target:
<scratch>
[8,9,0] has 3 digits.
[5,7] has 2 digits.
[8,9,0] + [5,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[8,9] + [5] , A=[7] , C=0 , 9+5+0=14 , A->4 , C->1
[8] + [] , A=[4,7] , C=1 , 8+0+1=9 , A->9 , C->0
[] + [] , A=[9,4,7] C=0 , END
</scratch>
947
| 947 |
Input:
242+466
Target:
| Input:
242+466
Target:
<scratch>
[2,4,2] has 3 digits.
[4,6,6] has 3 digits.
[2,4,2] + [4,6,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[2,4] + [4,6] , A=[8] , C=0 , 4+6+0=10 , A->0 , C->1
[2] + [4] , A=[0,8] , C=1 , 2+4+1=7 , A->7 , C->0
[] + [] , A=[7,0,8] C=0 , END
</scratch>
708
| 708 |
Input:
370+673
Target:
| Input:
370+673
Target:
<scratch>
[3,7,0] has 3 digits.
[6,7,3] has 3 digits.
[3,7,0] + [6,7,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[3,7] + [6,7] , A=[3] , C=0 , 7+7+0=14 , A->4 , C->1
[3] + [6] , A=[4,3] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,4,3] C=1 , END
</scratch>
1043
| 1043 |
Input:
907+697
Target:
| Input:
907+697
Target:
<scratch>
[9,0,7] has 3 digits.
[6,9,7] has 3 digits.
[9,0,7] + [6,9,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[9,0] + [6,9] , A=[4] , C=1 , 0+9+1=10 , A->0 , C->1
[9] + [6] , A=[0,4] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,4] C=1 , END
</scratch>
1604
| 1604 |
Input:
70+890
Target:
| Input:
70+890
Target:
<scratch>
[7,0] has 2 digits.
[8,9,0] has 3 digits.
[7,0] + [8,9,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[7] + [8,9] , A=[0] , C=0 , 7+9+0=16 , A->6 , C->1
[] + [8] , A=[6,0] , C=1 , 0+8+1=9 , A->9 , C->0
[] + [] , A=[9,6,0] C=0 , END
</scratch>
960
| 960 |
Input:
895+257
Target:
| Input:
895+257
Target:
<scratch>
[8,9,5] has 3 digits.
[2,5,7] has 3 digits.
[8,9,5] + [2,5,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[8,9] + [2,5] , A=[2] , C=1 , 9+5+1=15 , A->5 , C->1
[8] + [2] , A=[5,2] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,5,2] C=1 , END
</scratch>
1152
| 1152 |
Input:
270+405
Target:
| Input:
270+405
Target:
<scratch>
[2,7,0] has 3 digits.
[4,0,5] has 3 digits.
[2,7,0] + [4,0,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[2,7] + [4,0] , A=[5] , C=0 , 7+0+0=7 , A->7 , C->0
[2] + [4] , A=[7,5] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,7,5] C=0 , END
</scratch>
675
| 675 |
Input:
538+774
Target:
| Input:
538+774
Target:
<scratch>
[5,3,8] has 3 digits.
[7,7,4] has 3 digits.
[5,3,8] + [7,7,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[5,3] + [7,7] , A=[2] , C=1 , 3+7+1=11 , A->1 , C->1
[5] + [7] , A=[1,2] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
175+897
Target:
| Input:
175+897
Target:
<scratch>
[1,7,5] has 3 digits.
[8,9,7] has 3 digits.
[1,7,5] + [8,9,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[1,7] + [8,9] , A=[2] , C=1 , 7+9+1=17 , A->7 , C->1
[1] + [8] , A=[7,2] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,7,2] C=1 , END
</scratch>
1072
| 1072 |
Input:
669+46
Target:
| Input:
669+46
Target:
<scratch>
[6,6,9] has 3 digits.
[4,6] has 2 digits.
[6,6,9] + [4,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[6,6] + [4] , A=[5] , C=1 , 6+4+1=11 , A->1 , C->1
[6] + [] , A=[1,5] , C=1 , 6+0+1=7 , A->7 , C->0
[] + [] , A=[7,1,5] C=0 , END
</scratch>
715
| 715 |
Input:
60+348
Target:
| Input:
60+348
Target:
<scratch>
[6,0] has 2 digits.
[3,4,8] has 3 digits.
[6,0] + [3,4,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[6] + [3,4] , A=[8] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [3] , A=[0,8] , C=1 , 0+3+1=4 , A->4 , C->0
[] + [] , A=[4,0,8] C=0 , END
</scratch>
408
| 408 |
Input:
466+807
Target:
| Input:
466+807
Target:
<scratch>
[4,6,6] has 3 digits.
[8,0,7] has 3 digits.
[4,6,6] + [8,0,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[4,6] + [8,0] , A=[3] , C=1 , 6+0+1=7 , A->7 , C->0
[4] + [8] , A=[7,3] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [] , A=[2,7,3] C=1 , END
</scratch>
1273
| 1273 |
Input:
655+840
Target:
| Input:
655+840
Target:
<scratch>
[6,5,5] has 3 digits.
[8,4,0] has 3 digits.
[6,5,5] + [8,4,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[6,5] + [8,4] , A=[5] , C=0 , 5+4+0=9 , A->9 , C->0
[6] + [8] , A=[9,5] , C=0 , 6+8+0=14 , A->4 , C->1
[] + [] , A=[4,9,5] C=1 , END
</scratch>
1495
| 1495 |
Input:
891+933
Target:
| Input:
891+933
Target:
<scratch>
[8,9,1] has 3 digits.
[9,3,3] has 3 digits.
[8,9,1] + [9,3,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[8,9] + [9,3] , A=[4] , C=0 , 9+3+0=12 , A->2 , C->1
[8] + [9] , A=[2,4] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,2,4] C=1 , END
</scratch>
1824
| 1824 |
Input:
86+53
Target:
| Input:
86+53
Target:
<scratch>
[8,6] has 2 digits.
[5,3] has 2 digits.
[8,6] + [5,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[8] + [5] , A=[9] , C=0 , 8+5+0=13 , A->3 , C->1
[] + [] , A=[3,9] C=1 , END
</scratch>
139
| 139 |
Input:
293+689
Target:
| Input:
293+689
Target:
<scratch>
[2,9,3] has 3 digits.
[6,8,9] has 3 digits.
[2,9,3] + [6,8,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[2,9] + [6,8] , A=[2] , C=1 , 9+8+1=18 , A->8 , C->1
[2] + [6] , A=[8,2] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,8,2] C=0 , END
</scratch>
982
| 982 |
Input:
314+246
Target:
| Input:
314+246
Target:
<scratch>
[3,1,4] has 3 digits.
[2,4,6] has 3 digits.
[3,1,4] + [2,4,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[3,1] + [2,4] , A=[0] , C=1 , 1+4+1=6 , A->6 , C->0
[3] + [2] , A=[6,0] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,6,0] C=0 , END
</scratch>
560
| 560 |
Input:
474+11
Target:
| Input:
474+11
Target:
<scratch>
[4,7,4] has 3 digits.
[1,1] has 2 digits.
[4,7,4] + [1,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[4,7] + [1] , A=[5] , C=0 , 7+1+0=8 , A->8 , C->0
[4] + [] , A=[8,5] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,8,5] C=0 , END
</scratch>
485
| 485 |
Input:
346+623
Target:
| Input:
346+623
Target:
<scratch>
[3,4,6] has 3 digits.
[6,2,3] has 3 digits.
[3,4,6] + [6,2,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[3,4] + [6,2] , A=[9] , C=0 , 4+2+0=6 , A->6 , C->0
[3] + [6] , A=[6,9] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,6,9] C=0 , END
</scratch>
969
| 969 |
Input:
730+982
Target:
| Input:
730+982
Target:
<scratch>
[7,3,0] has 3 digits.
[9,8,2] has 3 digits.
[7,3,0] + [9,8,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[7,3] + [9,8] , A=[2] , C=0 , 3+8+0=11 , A->1 , C->1
[7] + [9] , A=[1,2] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,1,2] C=1 , END
</scratch>
1712
| 1712 |
Input:
590+348
Target:
| Input:
590+348
Target:
<scratch>
[5,9,0] has 3 digits.
[3,4,8] has 3 digits.
[5,9,0] + [3,4,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[5,9] + [3,4] , A=[8] , C=0 , 9+4+0=13 , A->3 , C->1
[5] + [3] , A=[3,8] , C=1 , 5+3+1=9 , A->9 , C->0
[] + [] , A=[9,3,8] C=0 , END
</scratch>
938
| 938 |
Input:
45+982
Target:
| Input:
45+982
Target:
<scratch>
[4,5] has 2 digits.
[9,8,2] has 3 digits.
[4,5] + [9,8,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[4] + [9,8] , A=[7] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [9] , A=[2,7] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,2,7] C=1 , END
</scratch>
1027
| 1027 |
Input:
240+168
Target:
| Input:
240+168
Target:
<scratch>
[2,4,0] has 3 digits.
[1,6,8] has 3 digits.
[2,4,0] + [1,6,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[2,4] + [1,6] , A=[8] , C=0 , 4+6+0=10 , A->0 , C->1
[2] + [1] , A=[0,8] , C=1 , 2+1+1=4 , A->4 , C->0
[] + [] , A=[4,0,8] C=0 , END
</scratch>
408
| 408 |
Input:
328+645
Target:
| Input:
328+645
Target:
<scratch>
[3,2,8] has 3 digits.
[6,4,5] has 3 digits.
[3,2,8] + [6,4,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[3,2] + [6,4] , A=[3] , C=1 , 2+4+1=7 , A->7 , C->0
[3] + [6] , A=[7,3] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,7,3] C=0 , END
</scratch>
973
| 973 |
Input:
390+262
Target:
| Input:
390+262
Target:
<scratch>
[3,9,0] has 3 digits.
[2,6,2] has 3 digits.
[3,9,0] + [2,6,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,9] + [2,6] , A=[2] , C=0 , 9+6+0=15 , A->5 , C->1
[3] + [2] , A=[5,2] , C=1 , 3+2+1=6 , A->6 , C->0
[] + [] , A=[6,5,2] C=0 , END
</scratch>
652
| 652 |
Input:
590+779
Target:
| Input:
590+779
Target:
<scratch>
[5,9,0] has 3 digits.
[7,7,9] has 3 digits.
[5,9,0] + [7,7,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[5,9] + [7,7] , A=[9] , C=0 , 9+7+0=16 , A->6 , C->1
[5] + [7] , A=[6,9] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,6,9] C=1 , END
</scratch>
1369
| 1369 |
Input:
240+589
Target:
| Input:
240+589
Target:
<scratch>
[2,4,0] has 3 digits.
[5,8,9] has 3 digits.
[2,4,0] + [5,8,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[2,4] + [5,8] , A=[9] , C=0 , 4+8+0=12 , A->2 , C->1
[2] + [5] , A=[2,9] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,2,9] C=0 , END
</scratch>
829
| 829 |
Input:
128+525
Target:
| Input:
128+525
Target:
<scratch>
[1,2,8] has 3 digits.
[5,2,5] has 3 digits.
[1,2,8] + [5,2,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[1,2] + [5,2] , A=[3] , C=1 , 2+2+1=5 , A->5 , C->0
[1] + [5] , A=[5,3] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,5,3] C=0 , END
</scratch>
653
| 653 |
Input:
36+415
Target:
| Input:
36+415
Target:
<scratch>
[3,6] has 2 digits.
[4,1,5] has 3 digits.
[3,6] + [4,1,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[3] + [4,1] , A=[1] , C=1 , 3+1+1=5 , A->5 , C->0
[] + [4] , A=[5,1] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,5,1] C=0 , END
</scratch>
451
| 451 |
Input:
480+90
Target:
| Input:
480+90
Target:
<scratch>
[4,8,0] has 3 digits.
[9,0] has 2 digits.
[4,8,0] + [9,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[4,8] + [9] , A=[0] , C=0 , 8+9+0=17 , A->7 , C->1
[4] + [] , A=[7,0] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,7,0] C=0 , END
</scratch>
570
| 570 |
Input:
456+880
Target:
| Input:
456+880
Target:
<scratch>
[4,5,6] has 3 digits.
[8,8,0] has 3 digits.
[4,5,6] + [8,8,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[4,5] + [8,8] , A=[6] , C=0 , 5+8+0=13 , A->3 , C->1
[4] + [8] , A=[3,6] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,3,6] C=1 , END
</scratch>
1336
| 1336 |
Input:
168+774
Target:
| Input:
168+774
Target:
<scratch>
[1,6,8] has 3 digits.
[7,7,4] has 3 digits.
[1,6,8] + [7,7,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[1,6] + [7,7] , A=[2] , C=1 , 6+7+1=14 , A->4 , C->1
[1] + [7] , A=[4,2] , C=1 , 1+7+1=9 , A->9 , C->0
[] + [] , A=[9,4,2] C=0 , END
</scratch>
942
| 942 |
Input:
64+993
Target:
| Input:
64+993
Target:
<scratch>
[6,4] has 2 digits.
[9,9,3] has 3 digits.
[6,4] + [9,9,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[6] + [9,9] , A=[7] , C=0 , 6+9+0=15 , A->5 , C->1
[] + [9] , A=[5,7] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,5,7] C=1 , END
</scratch>
1057
| 1057 |
Input:
315+122
Target:
| Input:
315+122
Target:
<scratch>
[3,1,5] has 3 digits.
[1,2,2] has 3 digits.
[3,1,5] + [1,2,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[3,1] + [1,2] , A=[7] , C=0 , 1+2+0=3 , A->3 , C->0
[3] + [1] , A=[3,7] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,3,7] C=0 , END
</scratch>
437
| 437 |
Input:
491+476
Target:
| Input:
491+476
Target:
<scratch>
[4,9,1] has 3 digits.
[4,7,6] has 3 digits.
[4,9,1] + [4,7,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[4,9] + [4,7] , A=[7] , C=0 , 9+7+0=16 , A->6 , C->1
[4] + [4] , A=[6,7] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,6,7] C=0 , END
</scratch>
967
| 967 |
Input:
275+578
Target:
| Input:
275+578
Target:
<scratch>
[2,7,5] has 3 digits.
[5,7,8] has 3 digits.
[2,7,5] + [5,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[2,7] + [5,7] , A=[3] , C=1 , 7+7+1=15 , A->5 , C->1
[2] + [5] , A=[5,3] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,5,3] C=0 , END
</scratch>
853
| 853 |
Input:
684+100
Target:
| Input:
684+100
Target:
<scratch>
[6,8,4] has 3 digits.
[1,0,0] has 3 digits.
[6,8,4] + [1,0,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[6,8] + [1,0] , A=[4] , C=0 , 8+0+0=8 , A->8 , C->0
[6] + [1] , A=[8,4] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,8,4] C=0 , END
</scratch>
784
| 784 |
Input:
642+773
Target:
| Input:
642+773
Target:
<scratch>
[6,4,2] has 3 digits.
[7,7,3] has 3 digits.
[6,4,2] + [7,7,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[6,4] + [7,7] , A=[5] , C=0 , 4+7+0=11 , A->1 , C->1
[6] + [7] , A=[1,5] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,1,5] C=1 , END
</scratch>
1415
| 1415 |
Input:
649+467
Target:
| Input:
649+467
Target:
<scratch>
[6,4,9] has 3 digits.
[4,6,7] has 3 digits.
[6,4,9] + [4,6,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,4] + [4,6] , A=[6] , C=1 , 4+6+1=11 , A->1 , C->1
[6] + [4] , A=[1,6] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,1,6] C=1 , END
</scratch>
1116
| 1116 |
Input:
122+168
Target:
| Input:
122+168
Target:
<scratch>
[1,2,2] has 3 digits.
[1,6,8] has 3 digits.
[1,2,2] + [1,6,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[1,2] + [1,6] , A=[0] , C=1 , 2+6+1=9 , A->9 , C->0
[1] + [1] , A=[9,0] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,9,0] C=0 , END
</scratch>
290
| 290 |
Input:
656+535
Target:
| Input:
656+535
Target:
<scratch>
[6,5,6] has 3 digits.
[5,3,5] has 3 digits.
[6,5,6] + [5,3,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[6,5] + [5,3] , A=[1] , C=1 , 5+3+1=9 , A->9 , C->0
[6] + [5] , A=[9,1] , C=0 , 6+5+0=11 , A->1 , C->1
[] + [] , A=[1,9,1] C=1 , END
</scratch>
1191
| 1191 |
Input:
891+485
Target:
| Input:
891+485
Target:
<scratch>
[8,9,1] has 3 digits.
[4,8,5] has 3 digits.
[8,9,1] + [4,8,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[8,9] + [4,8] , A=[6] , C=0 , 9+8+0=17 , A->7 , C->1
[8] + [4] , A=[7,6] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,7,6] C=1 , END
</scratch>
1376
| 1376 |
Input:
265+245
Target:
| Input:
265+245
Target:
<scratch>
[2,6,5] has 3 digits.
[2,4,5] has 3 digits.
[2,6,5] + [2,4,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[2,6] + [2,4] , A=[0] , C=1 , 6+4+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:
427+697
Target:
| Input:
427+697
Target:
<scratch>
[4,2,7] has 3 digits.
[6,9,7] has 3 digits.
[4,2,7] + [6,9,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[4,2] + [6,9] , A=[4] , C=1 , 2+9+1=12 , A->2 , C->1
[4] + [6] , A=[2,4] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,2,4] C=1 , END
</scratch>
1124
| 1124 |
Input:
809+883
Target:
| Input:
809+883
Target:
<scratch>
[8,0,9] has 3 digits.
[8,8,3] has 3 digits.
[8,0,9] + [8,8,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[8,0] + [8,8] , A=[2] , C=1 , 0+8+1=9 , A->9 , C->0
[8] + [8] , A=[9,2] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,9,2] C=1 , END
</scratch>
1692
| 1692 |
Input:
516+966
Target:
| Input:
516+966
Target:
<scratch>
[5,1,6] has 3 digits.
[9,6,6] has 3 digits.
[5,1,6] + [9,6,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[5,1] + [9,6] , A=[2] , C=1 , 1+6+1=8 , A->8 , C->0
[5] + [9] , A=[8,2] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,8,2] C=1 , END
</scratch>
1482
| 1482 |
Input:
41+113
Target:
| Input:
41+113
Target:
<scratch>
[4,1] has 2 digits.
[1,1,3] has 3 digits.
[4,1] + [1,1,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[4] + [1,1] , A=[4] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [1] , A=[5,4] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,5,4] C=0 , END
</scratch>
154
| 154 |
Input:
244+799
Target:
| Input:
244+799
Target:
<scratch>
[2,4,4] has 3 digits.
[7,9,9] has 3 digits.
[2,4,4] + [7,9,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[2,4] + [7,9] , A=[3] , C=1 , 4+9+1=14 , A->4 , C->1
[2] + [7] , A=[4,3] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,4,3] C=1 , END
</scratch>
1043
| 1043 |
Input:
595+71
Target:
| Input:
595+71
Target:
<scratch>
[5,9,5] has 3 digits.
[7,1] has 2 digits.
[5,9,5] + [7,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[5,9] + [7] , A=[6] , C=0 , 9+7+0=16 , A->6 , C->1
[5] + [] , A=[6,6] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,6,6] C=0 , END
</scratch>
666
| 666 |
Input:
416+284
Target:
| Input:
416+284
Target:
<scratch>
[4,1,6] has 3 digits.
[2,8,4] has 3 digits.
[4,1,6] + [2,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[4,1] + [2,8] , A=[0] , C=1 , 1+8+1=10 , A->0 , C->1
[4] + [2] , A=[0,0] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,0,0] C=0 , END
</scratch>
700
| 700 |
Input:
799+251
Target:
| Input:
799+251
Target:
<scratch>
[7,9,9] has 3 digits.
[2,5,1] has 3 digits.
[7,9,9] + [2,5,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[7,9] + [2,5] , A=[0] , C=1 , 9+5+1=15 , A->5 , C->1
[7] + [2] , A=[5,0] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,5,0] C=1 , END
</scratch>
1050
| 1050 |
Input:
677+421
Target:
| Input:
677+421
Target:
<scratch>
[6,7,7] has 3 digits.
[4,2,1] has 3 digits.
[6,7,7] + [4,2,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[6,7] + [4,2] , A=[8] , C=0 , 7+2+0=9 , A->9 , C->0
[6] + [4] , A=[9,8] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,9,8] C=1 , END
</scratch>
1098
| 1098 |
Input:
599+488
Target:
| Input:
599+488
Target:
<scratch>
[5,9,9] has 3 digits.
[4,8,8] has 3 digits.
[5,9,9] + [4,8,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[5,9] + [4,8] , A=[7] , C=1 , 9+8+1=18 , A->8 , C->1
[5] + [4] , A=[8,7] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,8,7] C=1 , END
</scratch>
1087
| 1087 |
Input:
857+249
Target:
| Input:
857+249
Target:
<scratch>
[8,5,7] has 3 digits.
[2,4,9] has 3 digits.
[8,5,7] + [2,4,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[8,5] + [2,4] , A=[6] , C=1 , 5+4+1=10 , A->0 , C->1
[8] + [2] , A=[0,6] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,6] C=1 , END
</scratch>
1106
| 1106 |
Input:
625+729
Target:
| Input:
625+729
Target:
<scratch>
[6,2,5] has 3 digits.
[7,2,9] has 3 digits.
[6,2,5] + [7,2,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[6,2] + [7,2] , A=[4] , C=1 , 2+2+1=5 , A->5 , C->0
[6] + [7] , A=[5,4] , C=0 , 6+7+0=13 , A->3 , C->1
[] + [] , A=[3,5,4] C=1 , END
</scratch>
1354
| 1354 |
Input:
440+945
Target:
| Input:
440+945
Target:
<scratch>
[4,4,0] has 3 digits.
[9,4,5] has 3 digits.
[4,4,0] + [9,4,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[4,4] + [9,4] , A=[5] , C=0 , 4+4+0=8 , A->8 , C->0
[4] + [9] , A=[8,5] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,8,5] C=1 , END
</scratch>
1385
| 1385 |
Input:
281+512
Target:
| Input:
281+512
Target:
<scratch>
[2,8,1] has 3 digits.
[5,1,2] has 3 digits.
[2,8,1] + [5,1,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[2,8] + [5,1] , A=[3] , C=0 , 8+1+0=9 , A->9 , C->0
[2] + [5] , A=[9,3] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,9,3] C=0 , END
</scratch>
793
| 793 |
Input:
845+392
Target:
| Input:
845+392
Target:
<scratch>
[8,4,5] has 3 digits.
[3,9,2] has 3 digits.
[8,4,5] + [3,9,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[8,4] + [3,9] , A=[7] , C=0 , 4+9+0=13 , A->3 , C->1
[8] + [3] , A=[3,7] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,3,7] C=1 , END
</scratch>
1237
| 1237 |
Input:
518+789
Target:
| Input:
518+789
Target:
<scratch>
[5,1,8] has 3 digits.
[7,8,9] has 3 digits.
[5,1,8] + [7,8,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[5,1] + [7,8] , A=[7] , C=1 , 1+8+1=10 , A->0 , C->1
[5] + [7] , A=[0,7] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,0,7] C=1 , END
</scratch>
1307
| 1307 |
Input:
804+275
Target:
| Input:
804+275
Target:
<scratch>
[8,0,4] has 3 digits.
[2,7,5] has 3 digits.
[8,0,4] + [2,7,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[8,0] + [2,7] , A=[9] , C=0 , 0+7+0=7 , A->7 , C->0
[8] + [2] , A=[7,9] , C=0 , 8+2+0=10 , A->0 , C->1
[] + [] , A=[0,7,9] C=1 , END
</scratch>
1079
| 1079 |
Input:
410+791
Target:
| Input:
410+791
Target:
<scratch>
[4,1,0] has 3 digits.
[7,9,1] has 3 digits.
[4,1,0] + [7,9,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[4,1] + [7,9] , A=[1] , C=0 , 1+9+0=10 , A->0 , C->1
[4] + [7] , A=[0,1] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,0,1] C=1 , END
</scratch>
1201
| 1201 |
Input:
118+223
Target:
| Input:
118+223
Target:
<scratch>
[1,1,8] has 3 digits.
[2,2,3] has 3 digits.
[1,1,8] + [2,2,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[1,1] + [2,2] , A=[1] , C=1 , 1+2+1=4 , A->4 , C->0
[1] + [2] , A=[4,1] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,4,1] C=0 , END
</scratch>
341
| 341 |
Input:
388+654
Target:
| Input:
388+654
Target:
<scratch>
[3,8,8] has 3 digits.
[6,5,4] has 3 digits.
[3,8,8] + [6,5,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[3,8] + [6,5] , A=[2] , C=1 , 8+5+1=14 , A->4 , C->1
[3] + [6] , A=[4,2] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,4,2] C=1 , END
</scratch>
1042
| 1042 |
Input:
341+640
Target:
| Input:
341+640
Target:
<scratch>
[3,4,1] has 3 digits.
[6,4,0] has 3 digits.
[3,4,1] + [6,4,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[3,4] + [6,4] , A=[1] , C=0 , 4+4+0=8 , A->8 , C->0
[3] + [6] , A=[8,1] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,8,1] C=0 , END
</scratch>
981
| 981 |
Input:
150+807
Target:
| Input:
150+807
Target:
<scratch>
[1,5,0] has 3 digits.
[8,0,7] has 3 digits.
[1,5,0] + [8,0,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[1,5] + [8,0] , A=[7] , C=0 , 5+0+0=5 , A->5 , C->0
[1] + [8] , A=[5,7] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,5,7] C=0 , END
</scratch>
957
| 957 |
Input:
255+544
Target:
| Input:
255+544
Target:
<scratch>
[2,5,5] has 3 digits.
[5,4,4] has 3 digits.
[2,5,5] + [5,4,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[2,5] + [5,4] , A=[9] , C=0 , 5+4+0=9 , A->9 , C->0
[2] + [5] , A=[9,9] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,9,9] C=0 , END
</scratch>
799
| 799 |
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