input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
283+714
Target:
| Input:
283+714
Target:
<scratch>
[2,8,3] has 3 digits.
[7,1,4] has 3 digits.
[2,8,3] + [7,1,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[2,8] + [7,1] , A=[7] , C=0 , 8+1+0=9 , A->9 , C->0
[2] + [7] , A=[9,7] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
293+619
Target:
| Input:
293+619
Target:
<scratch>
[2,9,3] has 3 digits.
[6,1,9] has 3 digits.
[2,9,3] + [6,1,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[2,9] + [6,1] , A=[2] , C=1 , 9+1+1=11 , A->1 , C->1
[2] + [6] , A=[1,2] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,1,2] C=0 , END
</scratch>
912
| 912 |
Input:
864+852
Target:
| Input:
864+852
Target:
<scratch>
[8,6,4] has 3 digits.
[8,5,2] has 3 digits.
[8,6,4] + [8,5,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[8,6] + [8,5] , A=[6] , C=0 , 6+5+0=11 , A->1 , C->1
[8] + [8] , A=[1,6] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,1,6] C=1 , END
</scratch>
1716
| 1716 |
Input:
531+183
Target:
| Input:
531+183
Target:
<scratch>
[5,3,1] has 3 digits.
[1,8,3] has 3 digits.
[5,3,1] + [1,8,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[5,3] + [1,8] , A=[4] , C=0 , 3+8+0=11 , A->1 , C->1
[5] + [1] , A=[1,4] , C=1 , 5+1+1=7 , A->7 , C->0
[] + [] , A=[7,1,4] C=0 , END
</scratch>
714
| 714 |
Input:
538+243
Target:
| Input:
538+243
Target:
<scratch>
[5,3,8] has 3 digits.
[2,4,3] has 3 digits.
[5,3,8] + [2,4,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[5,3] + [2,4] , A=[1] , C=1 , 3+4+1=8 , A->8 , C->0
[5] + [2] , A=[8,1] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,1] C=0 , END
</scratch>
781
| 781 |
Input:
128+514
Target:
| Input:
128+514
Target:
<scratch>
[1,2,8] has 3 digits.
[5,1,4] has 3 digits.
[1,2,8] + [5,1,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[1,2] + [5,1] , A=[2] , C=1 , 2+1+1=4 , A->4 , C->0
[1] + [5] , A=[4,2] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,4,2] C=0 , END
</scratch>
642
| 642 |
Input:
530+955
Target:
| Input:
530+955
Target:
<scratch>
[5,3,0] has 3 digits.
[9,5,5] has 3 digits.
[5,3,0] + [9,5,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[5,3] + [9,5] , A=[5] , C=0 , 3+5+0=8 , A->8 , C->0
[5] + [9] , A=[8,5] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,8,5] C=1 , END
</scratch>
1485
| 1485 |
Input:
244+695
Target:
| Input:
244+695
Target:
<scratch>
[2,4,4] has 3 digits.
[6,9,5] has 3 digits.
[2,4,4] + [6,9,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[2,4] + [6,9] , A=[9] , C=0 , 4+9+0=13 , A->3 , C->1
[2] + [6] , A=[3,9] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,3,9] C=0 , END
</scratch>
939
| 939 |
Input:
396+947
Target:
| Input:
396+947
Target:
<scratch>
[3,9,6] has 3 digits.
[9,4,7] has 3 digits.
[3,9,6] + [9,4,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[3,9] + [9,4] , A=[3] , C=1 , 9+4+1=14 , A->4 , C->1
[3] + [9] , A=[4,3] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,4,3] C=1 , END
</scratch>
1343
| 1343 |
Input:
560+447
Target:
| Input:
560+447
Target:
<scratch>
[5,6,0] has 3 digits.
[4,4,7] has 3 digits.
[5,6,0] + [4,4,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[5,6] + [4,4] , A=[7] , C=0 , 6+4+0=10 , A->0 , C->1
[5] + [4] , A=[0,7] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,0,7] C=1 , END
</scratch>
1007
| 1007 |
Input:
570+276
Target:
| Input:
570+276
Target:
<scratch>
[5,7,0] has 3 digits.
[2,7,6] has 3 digits.
[5,7,0] + [2,7,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[5,7] + [2,7] , A=[6] , C=0 , 7+7+0=14 , A->4 , C->1
[5] + [2] , A=[4,6] , C=1 , 5+2+1=8 , A->8 , C->0
[] + [] , A=[8,4,6] C=0 , END
</scratch>
846
| 846 |
Input:
457+473
Target:
| Input:
457+473
Target:
<scratch>
[4,5,7] has 3 digits.
[4,7,3] has 3 digits.
[4,5,7] + [4,7,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[4,5] + [4,7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[4] + [4] , A=[3,0] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,3,0] C=0 , END
</scratch>
930
| 930 |
Input:
21+222
Target:
| Input:
21+222
Target:
<scratch>
[2,1] has 2 digits.
[2,2,2] has 3 digits.
[2,1] + [2,2,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[2] + [2,2] , A=[3] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [2] , A=[4,3] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,4,3] C=0 , END
</scratch>
243
| 243 |
Input:
275+505
Target:
| Input:
275+505
Target:
<scratch>
[2,7,5] has 3 digits.
[5,0,5] has 3 digits.
[2,7,5] + [5,0,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[2,7] + [5,0] , A=[0] , C=1 , 7+0+1=8 , A->8 , C->0
[2] + [5] , A=[8,0] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,8,0] C=0 , END
</scratch>
780
| 780 |
Input:
818+140
Target:
| Input:
818+140
Target:
<scratch>
[8,1,8] has 3 digits.
[1,4,0] has 3 digits.
[8,1,8] + [1,4,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[8,1] + [1,4] , A=[8] , C=0 , 1+4+0=5 , A->5 , C->0
[8] + [1] , A=[5,8] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,5,8] C=0 , END
</scratch>
958
| 958 |
Input:
680+451
Target:
| Input:
680+451
Target:
<scratch>
[6,8,0] has 3 digits.
[4,5,1] has 3 digits.
[6,8,0] + [4,5,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[6,8] + [4,5] , A=[1] , C=0 , 8+5+0=13 , A->3 , C->1
[6] + [4] , A=[3,1] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,3,1] C=1 , END
</scratch>
1131
| 1131 |
Input:
734+128
Target:
| Input:
734+128
Target:
<scratch>
[7,3,4] has 3 digits.
[1,2,8] has 3 digits.
[7,3,4] + [1,2,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[7,3] + [1,2] , A=[2] , C=1 , 3+2+1=6 , A->6 , C->0
[7] + [1] , A=[6,2] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,6,2] C=0 , END
</scratch>
862
| 862 |
Input:
274+542
Target:
| Input:
274+542
Target:
<scratch>
[2,7,4] has 3 digits.
[5,4,2] has 3 digits.
[2,7,4] + [5,4,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[2,7] + [5,4] , A=[6] , C=0 , 7+4+0=11 , A->1 , C->1
[2] + [5] , A=[1,6] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,1,6] C=0 , END
</scratch>
816
| 816 |
Input:
279+687
Target:
| Input:
279+687
Target:
<scratch>
[2,7,9] has 3 digits.
[6,8,7] has 3 digits.
[2,7,9] + [6,8,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[2,7] + [6,8] , A=[6] , C=1 , 7+8+1=16 , A->6 , C->1
[2] + [6] , A=[6,6] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,6,6] C=0 , END
</scratch>
966
| 966 |
Input:
588+60
Target:
| Input:
588+60
Target:
<scratch>
[5,8,8] has 3 digits.
[6,0] has 2 digits.
[5,8,8] + [6,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[5,8] + [6] , A=[8] , C=0 , 8+6+0=14 , A->4 , C->1
[5] + [] , A=[4,8] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,4,8] C=0 , END
</scratch>
648
| 648 |
Input:
246+8
Target:
| Input:
246+8
Target:
<scratch>
[2,4,6] has 3 digits.
[8] has 1 digits.
[2,4,6] + [8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[2,4] + [] , A=[4] , C=1 , 4+0+1=5 , A->5 , C->0
[2] + [] , A=[5,4] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,5,4] C=0 , END
</scratch>
254
| 254 |
Input:
980+530
Target:
| Input:
980+530
Target:
<scratch>
[9,8,0] has 3 digits.
[5,3,0] has 3 digits.
[9,8,0] + [5,3,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[9,8] + [5,3] , A=[0] , C=0 , 8+3+0=11 , A->1 , C->1
[9] + [5] , A=[1,0] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,1,0] C=1 , END
</scratch>
1510
| 1510 |
Input:
545+949
Target:
| Input:
545+949
Target:
<scratch>
[5,4,5] has 3 digits.
[9,4,9] has 3 digits.
[5,4,5] + [9,4,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[5,4] + [9,4] , A=[4] , C=1 , 4+4+1=9 , A->9 , C->0
[5] + [9] , A=[9,4] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,9,4] C=1 , END
</scratch>
1494
| 1494 |
Input:
982+472
Target:
| Input:
982+472
Target:
<scratch>
[9,8,2] has 3 digits.
[4,7,2] has 3 digits.
[9,8,2] + [4,7,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[9,8] + [4,7] , A=[4] , C=0 , 8+7+0=15 , A->5 , C->1
[9] + [4] , A=[5,4] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,5,4] C=1 , END
</scratch>
1454
| 1454 |
Input:
913+839
Target:
| Input:
913+839
Target:
<scratch>
[9,1,3] has 3 digits.
[8,3,9] has 3 digits.
[9,1,3] + [8,3,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[9,1] + [8,3] , A=[2] , C=1 , 1+3+1=5 , A->5 , C->0
[9] + [8] , A=[5,2] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,5,2] C=1 , END
</scratch>
1752
| 1752 |
Input:
418+837
Target:
| Input:
418+837
Target:
<scratch>
[4,1,8] has 3 digits.
[8,3,7] has 3 digits.
[4,1,8] + [8,3,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[4,1] + [8,3] , A=[5] , C=1 , 1+3+1=5 , A->5 , C->0
[4] + [8] , A=[5,5] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [] , A=[2,5,5] C=1 , END
</scratch>
1255
| 1255 |
Input:
360+837
Target:
| Input:
360+837
Target:
<scratch>
[3,6,0] has 3 digits.
[8,3,7] has 3 digits.
[3,6,0] + [8,3,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[3,6] + [8,3] , A=[7] , C=0 , 6+3+0=9 , A->9 , C->0
[3] + [8] , A=[9,7] , C=0 , 3+8+0=11 , A->1 , C->1
[] + [] , A=[1,9,7] C=1 , END
</scratch>
1197
| 1197 |
Input:
813+942
Target:
| Input:
813+942
Target:
<scratch>
[8,1,3] has 3 digits.
[9,4,2] has 3 digits.
[8,1,3] + [9,4,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[8,1] + [9,4] , A=[5] , C=0 , 1+4+0=5 , A->5 , C->0
[8] + [9] , A=[5,5] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,5,5] C=1 , END
</scratch>
1755
| 1755 |
Input:
481+476
Target:
| Input:
481+476
Target:
<scratch>
[4,8,1] has 3 digits.
[4,7,6] has 3 digits.
[4,8,1] + [4,7,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[4,8] + [4,7] , A=[7] , C=0 , 8+7+0=15 , A->5 , C->1
[4] + [4] , A=[5,7] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,5,7] C=0 , END
</scratch>
957
| 957 |
Input:
489+604
Target:
| Input:
489+604
Target:
<scratch>
[4,8,9] has 3 digits.
[6,0,4] has 3 digits.
[4,8,9] + [6,0,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[4,8] + [6,0] , A=[3] , C=1 , 8+0+1=9 , A->9 , C->0
[4] + [6] , A=[9,3] , C=0 , 4+6+0=10 , A->0 , C->1
[] + [] , A=[0,9,3] C=1 , END
</scratch>
1093
| 1093 |
Input:
624+764
Target:
| Input:
624+764
Target:
<scratch>
[6,2,4] has 3 digits.
[7,6,4] has 3 digits.
[6,2,4] + [7,6,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[6,2] + [7,6] , A=[8] , C=0 , 2+6+0=8 , A->8 , C->0
[6] + [7] , A=[8,8] , C=0 , 6+7+0=13 , A->3 , C->1
[] + [] , A=[3,8,8] C=1 , END
</scratch>
1388
| 1388 |
Input:
392+944
Target:
| Input:
392+944
Target:
<scratch>
[3,9,2] has 3 digits.
[9,4,4] has 3 digits.
[3,9,2] + [9,4,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[3,9] + [9,4] , A=[6] , C=0 , 9+4+0=13 , A->3 , C->1
[3] + [9] , A=[3,6] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,3,6] C=1 , END
</scratch>
1336
| 1336 |
Input:
295+680
Target:
| Input:
295+680
Target:
<scratch>
[2,9,5] has 3 digits.
[6,8,0] has 3 digits.
[2,9,5] + [6,8,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[2,9] + [6,8] , A=[5] , C=0 , 9+8+0=17 , A->7 , C->1
[2] + [6] , A=[7,5] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,7,5] C=0 , END
</scratch>
975
| 975 |
Input:
821+338
Target:
| Input:
821+338
Target:
<scratch>
[8,2,1] has 3 digits.
[3,3,8] has 3 digits.
[8,2,1] + [3,3,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[8,2] + [3,3] , A=[9] , C=0 , 2+3+0=5 , A->5 , C->0
[8] + [3] , A=[5,9] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,5,9] C=1 , END
</scratch>
1159
| 1159 |
Input:
112+231
Target:
| Input:
112+231
Target:
<scratch>
[1,1,2] has 3 digits.
[2,3,1] has 3 digits.
[1,1,2] + [2,3,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[1,1] + [2,3] , A=[3] , C=0 , 1+3+0=4 , A->4 , C->0
[1] + [2] , A=[4,3] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,4,3] C=0 , END
</scratch>
343
| 343 |
Input:
384+906
Target:
| Input:
384+906
Target:
<scratch>
[3,8,4] has 3 digits.
[9,0,6] has 3 digits.
[3,8,4] + [9,0,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[3,8] + [9,0] , A=[0] , C=1 , 8+0+1=9 , A->9 , C->0
[3] + [9] , A=[9,0] , C=0 , 3+9+0=12 , A->2 , C->1
[] + [] , A=[2,9,0] C=1 , END
</scratch>
1290
| 1290 |
Input:
177+989
Target:
| Input:
177+989
Target:
<scratch>
[1,7,7] has 3 digits.
[9,8,9] has 3 digits.
[1,7,7] + [9,8,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[1,7] + [9,8] , A=[6] , C=1 , 7+8+1=16 , A->6 , C->1
[1] + [9] , A=[6,6] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,6,6] C=1 , END
</scratch>
1166
| 1166 |
Input:
912+328
Target:
| Input:
912+328
Target:
<scratch>
[9,1,2] has 3 digits.
[3,2,8] has 3 digits.
[9,1,2] + [3,2,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[9,1] + [3,2] , A=[0] , C=1 , 1+2+1=4 , A->4 , C->0
[9] + [3] , A=[4,0] , C=0 , 9+3+0=12 , A->2 , C->1
[] + [] , A=[2,4,0] C=1 , END
</scratch>
1240
| 1240 |
Input:
905+971
Target:
| Input:
905+971
Target:
<scratch>
[9,0,5] has 3 digits.
[9,7,1] has 3 digits.
[9,0,5] + [9,7,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[9,0] + [9,7] , A=[6] , C=0 , 0+7+0=7 , A->7 , C->0
[9] + [9] , A=[7,6] , C=0 , 9+9+0=18 , A->8 , C->1
[] + [] , A=[8,7,6] C=1 , END
</scratch>
1876
| 1876 |
Input:
48+144
Target:
| Input:
48+144
Target:
<scratch>
[4,8] has 2 digits.
[1,4,4] has 3 digits.
[4,8] + [1,4,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[4] + [1,4] , A=[2] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [1] , A=[9,2] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,9,2] C=0 , END
</scratch>
192
| 192 |
Input:
432+204
Target:
| Input:
432+204
Target:
<scratch>
[4,3,2] has 3 digits.
[2,0,4] has 3 digits.
[4,3,2] + [2,0,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[4,3] + [2,0] , A=[6] , C=0 , 3+0+0=3 , A->3 , C->0
[4] + [2] , A=[3,6] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,3,6] C=0 , END
</scratch>
636
| 636 |
Input:
998+92
Target:
| Input:
998+92
Target:
<scratch>
[9,9,8] has 3 digits.
[9,2] has 2 digits.
[9,9,8] + [9,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[9,9] + [9] , A=[0] , C=1 , 9+9+1=19 , A->9 , C->1
[9] + [] , A=[9,0] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,9,0] C=1 , END
</scratch>
1090
| 1090 |
Input:
513+457
Target:
| Input:
513+457
Target:
<scratch>
[5,1,3] has 3 digits.
[4,5,7] has 3 digits.
[5,1,3] + [4,5,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[5,1] + [4,5] , A=[0] , C=1 , 1+5+1=7 , A->7 , C->0
[5] + [4] , A=[7,0] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,7,0] C=0 , END
</scratch>
970
| 970 |
Input:
589+715
Target:
| Input:
589+715
Target:
<scratch>
[5,8,9] has 3 digits.
[7,1,5] has 3 digits.
[5,8,9] + [7,1,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[5,8] + [7,1] , A=[4] , C=1 , 8+1+1=10 , A->0 , C->1
[5] + [7] , A=[0,4] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,0,4] C=1 , END
</scratch>
1304
| 1304 |
Input:
570+834
Target:
| Input:
570+834
Target:
<scratch>
[5,7,0] has 3 digits.
[8,3,4] has 3 digits.
[5,7,0] + [8,3,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[5,7] + [8,3] , A=[4] , C=0 , 7+3+0=10 , A->0 , C->1
[5] + [8] , A=[0,4] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,0,4] C=1 , END
</scratch>
1404
| 1404 |
Input:
601+558
Target:
| Input:
601+558
Target:
<scratch>
[6,0,1] has 3 digits.
[5,5,8] has 3 digits.
[6,0,1] + [5,5,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[6,0] + [5,5] , A=[9] , C=0 , 0+5+0=5 , A->5 , C->0
[6] + [5] , A=[5,9] , C=0 , 6+5+0=11 , A->1 , C->1
[] + [] , A=[1,5,9] C=1 , END
</scratch>
1159
| 1159 |
Input:
969+478
Target:
| Input:
969+478
Target:
<scratch>
[9,6,9] has 3 digits.
[4,7,8] has 3 digits.
[9,6,9] + [4,7,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[9,6] + [4,7] , A=[7] , C=1 , 6+7+1=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:
946+723
Target:
| Input:
946+723
Target:
<scratch>
[9,4,6] has 3 digits.
[7,2,3] has 3 digits.
[9,4,6] + [7,2,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[9,4] + [7,2] , A=[9] , C=0 , 4+2+0=6 , A->6 , C->0
[9] + [7] , A=[6,9] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,6,9] C=1 , END
</scratch>
1669
| 1669 |
Input:
497+882
Target:
| Input:
497+882
Target:
<scratch>
[4,9,7] has 3 digits.
[8,8,2] has 3 digits.
[4,9,7] + [8,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[4,9] + [8,8] , A=[9] , C=0 , 9+8+0=17 , A->7 , C->1
[4] + [8] , A=[7,9] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,7,9] C=1 , END
</scratch>
1379
| 1379 |
Input:
684+120
Target:
| Input:
684+120
Target:
<scratch>
[6,8,4] has 3 digits.
[1,2,0] has 3 digits.
[6,8,4] + [1,2,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[6,8] + [1,2] , A=[4] , C=0 , 8+2+0=10 , A->0 , C->1
[6] + [1] , A=[0,4] , C=1 , 6+1+1=8 , A->8 , C->0
[] + [] , A=[8,0,4] C=0 , END
</scratch>
804
| 804 |
Input:
959+981
Target:
| Input:
959+981
Target:
<scratch>
[9,5,9] has 3 digits.
[9,8,1] has 3 digits.
[9,5,9] + [9,8,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[9,5] + [9,8] , A=[0] , C=1 , 5+8+1=14 , A->4 , C->1
[9] + [9] , A=[4,0] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,4,0] C=1 , END
</scratch>
1940
| 1940 |
Input:
627+499
Target:
| Input:
627+499
Target:
<scratch>
[6,2,7] has 3 digits.
[4,9,9] has 3 digits.
[6,2,7] + [4,9,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[6,2] + [4,9] , A=[6] , C=1 , 2+9+1=12 , A->2 , C->1
[6] + [4] , A=[2,6] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,2,6] C=1 , END
</scratch>
1126
| 1126 |
Input:
363+925
Target:
| Input:
363+925
Target:
<scratch>
[3,6,3] has 3 digits.
[9,2,5] has 3 digits.
[3,6,3] + [9,2,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[3,6] + [9,2] , A=[8] , C=0 , 6+2+0=8 , A->8 , C->0
[3] + [9] , A=[8,8] , C=0 , 3+9+0=12 , A->2 , C->1
[] + [] , A=[2,8,8] C=1 , END
</scratch>
1288
| 1288 |
Input:
374+572
Target:
| Input:
374+572
Target:
<scratch>
[3,7,4] has 3 digits.
[5,7,2] has 3 digits.
[3,7,4] + [5,7,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[3,7] + [5,7] , A=[6] , C=0 , 7+7+0=14 , A->4 , C->1
[3] + [5] , A=[4,6] , C=1 , 3+5+1=9 , A->9 , C->0
[] + [] , A=[9,4,6] C=0 , END
</scratch>
946
| 946 |
Input:
757+177
Target:
| Input:
757+177
Target:
<scratch>
[7,5,7] has 3 digits.
[1,7,7] has 3 digits.
[7,5,7] + [1,7,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[7,5] + [1,7] , A=[4] , C=1 , 5+7+1=13 , A->3 , C->1
[7] + [1] , A=[3,4] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,3,4] C=0 , END
</scratch>
934
| 934 |
Input:
112+436
Target:
| Input:
112+436
Target:
<scratch>
[1,1,2] has 3 digits.
[4,3,6] has 3 digits.
[1,1,2] + [4,3,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[1,1] + [4,3] , A=[8] , C=0 , 1+3+0=4 , A->4 , C->0
[1] + [4] , A=[4,8] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,4,8] C=0 , END
</scratch>
548
| 548 |
Input:
303+486
Target:
| Input:
303+486
Target:
<scratch>
[3,0,3] has 3 digits.
[4,8,6] has 3 digits.
[3,0,3] + [4,8,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[3,0] + [4,8] , A=[9] , C=0 , 0+8+0=8 , A->8 , C->0
[3] + [4] , A=[8,9] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,8,9] C=0 , END
</scratch>
789
| 789 |
Input:
32+186
Target:
| Input:
32+186
Target:
<scratch>
[3,2] has 2 digits.
[1,8,6] has 3 digits.
[3,2] + [1,8,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[3] + [1,8] , A=[8] , C=0 , 3+8+0=11 , A->1 , C->1
[] + [1] , A=[1,8] , C=1 , 0+1+1=2 , A->2 , C->0
[] + [] , A=[2,1,8] C=0 , END
</scratch>
218
| 218 |
Input:
587+121
Target:
| Input:
587+121
Target:
<scratch>
[5,8,7] has 3 digits.
[1,2,1] has 3 digits.
[5,8,7] + [1,2,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[5,8] + [1,2] , A=[8] , C=0 , 8+2+0=10 , A->0 , C->1
[5] + [1] , A=[0,8] , C=1 , 5+1+1=7 , A->7 , C->0
[] + [] , A=[7,0,8] C=0 , END
</scratch>
708
| 708 |
Input:
558+708
Target:
| Input:
558+708
Target:
<scratch>
[5,5,8] has 3 digits.
[7,0,8] has 3 digits.
[5,5,8] + [7,0,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,5] + [7,0] , A=[6] , C=1 , 5+0+1=6 , A->6 , C->0
[5] + [7] , A=[6,6] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,6,6] C=1 , END
</scratch>
1266
| 1266 |
Input:
425+333
Target:
| Input:
425+333
Target:
<scratch>
[4,2,5] has 3 digits.
[3,3,3] has 3 digits.
[4,2,5] + [3,3,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[4,2] + [3,3] , A=[8] , C=0 , 2+3+0=5 , A->5 , C->0
[4] + [3] , A=[5,8] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,5,8] C=0 , END
</scratch>
758
| 758 |
Input:
147+498
Target:
| Input:
147+498
Target:
<scratch>
[1,4,7] has 3 digits.
[4,9,8] has 3 digits.
[1,4,7] + [4,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[1,4] + [4,9] , A=[5] , C=1 , 4+9+1=14 , A->4 , C->1
[1] + [4] , A=[4,5] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,4,5] C=0 , END
</scratch>
645
| 645 |
Input:
664+36
Target:
| Input:
664+36
Target:
<scratch>
[6,6,4] has 3 digits.
[3,6] has 2 digits.
[6,6,4] + [3,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[6,6] + [3] , A=[0] , C=1 , 6+3+1=10 , A->0 , C->1
[6] + [] , A=[0,0] , C=1 , 6+0+1=7 , A->7 , C->0
[] + [] , A=[7,0,0] C=0 , END
</scratch>
700
| 700 |
Input:
55+686
Target:
| Input:
55+686
Target:
<scratch>
[5,5] has 2 digits.
[6,8,6] has 3 digits.
[5,5] + [6,8,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[5] + [6,8] , A=[1] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [6] , A=[4,1] , C=1 , 0+6+1=7 , A->7 , C->0
[] + [] , A=[7,4,1] C=0 , END
</scratch>
741
| 741 |
Input:
773+355
Target:
| Input:
773+355
Target:
<scratch>
[7,7,3] has 3 digits.
[3,5,5] has 3 digits.
[7,7,3] + [3,5,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[7,7] + [3,5] , A=[8] , C=0 , 7+5+0=12 , A->2 , C->1
[7] + [3] , A=[2,8] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,2,8] C=1 , END
</scratch>
1128
| 1128 |
Input:
530+11
Target:
| Input:
530+11
Target:
<scratch>
[5,3,0] has 3 digits.
[1,1] has 2 digits.
[5,3,0] + [1,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[5,3] + [1] , A=[1] , C=0 , 3+1+0=4 , A->4 , C->0
[5] + [] , A=[4,1] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,4,1] C=0 , END
</scratch>
541
| 541 |
Input:
487+897
Target:
| Input:
487+897
Target:
<scratch>
[4,8,7] has 3 digits.
[8,9,7] has 3 digits.
[4,8,7] + [8,9,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[4,8] + [8,9] , A=[4] , C=1 , 8+9+1=18 , A->8 , C->1
[4] + [8] , A=[8,4] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,8,4] C=1 , END
</scratch>
1384
| 1384 |
Input:
50+34
Target:
| Input:
50+34
Target:
<scratch>
[5,0] has 2 digits.
[3,4] has 2 digits.
[5,0] + [3,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[5] + [3] , A=[4] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,4] C=0 , END
</scratch>
84
| 84 |
Input:
117+819
Target:
| Input:
117+819
Target:
<scratch>
[1,1,7] has 3 digits.
[8,1,9] has 3 digits.
[1,1,7] + [8,1,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[1,1] + [8,1] , A=[6] , C=1 , 1+1+1=3 , A->3 , C->0
[1] + [8] , A=[3,6] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,3,6] C=0 , END
</scratch>
936
| 936 |
Input:
775+309
Target:
| Input:
775+309
Target:
<scratch>
[7,7,5] has 3 digits.
[3,0,9] has 3 digits.
[7,7,5] + [3,0,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7,7] + [3,0] , A=[4] , C=1 , 7+0+1=8 , A->8 , C->0
[7] + [3] , A=[8,4] , C=0 , 7+3+0=10 , A->0 , C->1
[] + [] , A=[0,8,4] C=1 , END
</scratch>
1084
| 1084 |
Input:
674+185
Target:
| Input:
674+185
Target:
<scratch>
[6,7,4] has 3 digits.
[1,8,5] has 3 digits.
[6,7,4] + [1,8,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[6,7] + [1,8] , A=[9] , C=0 , 7+8+0=15 , A->5 , C->1
[6] + [1] , A=[5,9] , C=1 , 6+1+1=8 , A->8 , C->0
[] + [] , A=[8,5,9] C=0 , END
</scratch>
859
| 859 |
Input:
460+646
Target:
| Input:
460+646
Target:
<scratch>
[4,6,0] has 3 digits.
[6,4,6] has 3 digits.
[4,6,0] + [6,4,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[4,6] + [6,4] , A=[6] , C=0 , 6+4+0=10 , A->0 , C->1
[4] + [6] , A=[0,6] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,0,6] C=1 , END
</scratch>
1106
| 1106 |
Input:
133+698
Target:
| Input:
133+698
Target:
<scratch>
[1,3,3] has 3 digits.
[6,9,8] has 3 digits.
[1,3,3] + [6,9,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[1,3] + [6,9] , A=[1] , C=1 , 3+9+1=13 , A->3 , C->1
[1] + [6] , A=[3,1] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,3,1] C=0 , END
</scratch>
831
| 831 |
Input:
497+605
Target:
| Input:
497+605
Target:
<scratch>
[4,9,7] has 3 digits.
[6,0,5] has 3 digits.
[4,9,7] + [6,0,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[4,9] + [6,0] , A=[2] , C=1 , 9+0+1=10 , A->0 , C->1
[4] + [6] , A=[0,2] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
121+88
Target:
| Input:
121+88
Target:
<scratch>
[1,2,1] has 3 digits.
[8,8] has 2 digits.
[1,2,1] + [8,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[1,2] + [8] , A=[9] , C=0 , 2+8+0=10 , A->0 , C->1
[1] + [] , A=[0,9] , C=1 , 1+0+1=2 , A->2 , C->0
[] + [] , A=[2,0,9] C=0 , END
</scratch>
209
| 209 |
Input:
713+484
Target:
| Input:
713+484
Target:
<scratch>
[7,1,3] has 3 digits.
[4,8,4] has 3 digits.
[7,1,3] + [4,8,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[7,1] + [4,8] , A=[7] , C=0 , 1+8+0=9 , A->9 , C->0
[7] + [4] , A=[9,7] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,9,7] C=1 , END
</scratch>
1197
| 1197 |
Input:
201+220
Target:
| Input:
201+220
Target:
<scratch>
[2,0,1] has 3 digits.
[2,2,0] has 3 digits.
[2,0,1] + [2,2,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[2,0] + [2,2] , A=[1] , C=0 , 0+2+0=2 , A->2 , C->0
[2] + [2] , A=[2,1] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,2,1] C=0 , END
</scratch>
421
| 421 |
Input:
163+224
Target:
| Input:
163+224
Target:
<scratch>
[1,6,3] has 3 digits.
[2,2,4] has 3 digits.
[1,6,3] + [2,2,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,6] + [2,2] , A=[7] , C=0 , 6+2+0=8 , A->8 , C->0
[1] + [2] , A=[8,7] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,7] C=0 , END
</scratch>
387
| 387 |
Input:
755+218
Target:
| Input:
755+218
Target:
<scratch>
[7,5,5] has 3 digits.
[2,1,8] has 3 digits.
[7,5,5] + [2,1,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[7,5] + [2,1] , A=[3] , C=1 , 5+1+1=7 , A->7 , C->0
[7] + [2] , A=[7,3] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,7,3] C=0 , END
</scratch>
973
| 973 |
Input:
546+199
Target:
| Input:
546+199
Target:
<scratch>
[5,4,6] has 3 digits.
[1,9,9] has 3 digits.
[5,4,6] + [1,9,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[5,4] + [1,9] , A=[5] , C=1 , 4+9+1=14 , A->4 , C->1
[5] + [1] , A=[4,5] , C=1 , 5+1+1=7 , A->7 , C->0
[] + [] , A=[7,4,5] C=0 , END
</scratch>
745
| 745 |
Input:
507+287
Target:
| Input:
507+287
Target:
<scratch>
[5,0,7] has 3 digits.
[2,8,7] has 3 digits.
[5,0,7] + [2,8,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[5,0] + [2,8] , A=[4] , C=1 , 0+8+1=9 , A->9 , C->0
[5] + [2] , A=[9,4] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,9,4] C=0 , END
</scratch>
794
| 794 |
Input:
983+345
Target:
| Input:
983+345
Target:
<scratch>
[9,8,3] has 3 digits.
[3,4,5] has 3 digits.
[9,8,3] + [3,4,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[9,8] + [3,4] , A=[8] , C=0 , 8+4+0=12 , A->2 , C->1
[9] + [3] , A=[2,8] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,2,8] C=1 , END
</scratch>
1328
| 1328 |
Input:
878+817
Target:
| Input:
878+817
Target:
<scratch>
[8,7,8] has 3 digits.
[8,1,7] has 3 digits.
[8,7,8] + [8,1,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[8,7] + [8,1] , A=[5] , C=1 , 7+1+1=9 , A->9 , C->0
[8] + [8] , A=[9,5] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,9,5] C=1 , END
</scratch>
1695
| 1695 |
Input:
233+6
Target:
| Input:
233+6
Target:
<scratch>
[2,3,3] has 3 digits.
[6] has 1 digits.
[2,3,3] + [6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[2,3] + [] , A=[9] , C=0 , 3+0+0=3 , A->3 , C->0
[2] + [] , A=[3,9] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,3,9] C=0 , END
</scratch>
239
| 239 |
Input:
956+126
Target:
| Input:
956+126
Target:
<scratch>
[9,5,6] has 3 digits.
[1,2,6] has 3 digits.
[9,5,6] + [1,2,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[9,5] + [1,2] , A=[2] , C=1 , 5+2+1=8 , A->8 , C->0
[9] + [1] , A=[8,2] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,8,2] C=1 , END
</scratch>
1082
| 1082 |
Input:
42+310
Target:
| Input:
42+310
Target:
<scratch>
[4,2] has 2 digits.
[3,1,0] has 3 digits.
[4,2] + [3,1,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[4] + [3,1] , A=[2] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [3] , A=[5,2] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,5,2] C=0 , END
</scratch>
352
| 352 |
Input:
214+496
Target:
| Input:
214+496
Target:
<scratch>
[2,1,4] has 3 digits.
[4,9,6] has 3 digits.
[2,1,4] + [4,9,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[2,1] + [4,9] , A=[0] , C=1 , 1+9+1=11 , A->1 , C->1
[2] + [4] , A=[1,0] , C=1 , 2+4+1=7 , A->7 , C->0
[] + [] , A=[7,1,0] C=0 , END
</scratch>
710
| 710 |
Input:
94+238
Target:
| Input:
94+238
Target:
<scratch>
[9,4] has 2 digits.
[2,3,8] has 3 digits.
[9,4] + [2,3,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[9] + [2,3] , A=[2] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [2] , A=[3,2] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,3,2] C=0 , END
</scratch>
332
| 332 |
Input:
871+735
Target:
| Input:
871+735
Target:
<scratch>
[8,7,1] has 3 digits.
[7,3,5] has 3 digits.
[8,7,1] + [7,3,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[8,7] + [7,3] , A=[6] , C=0 , 7+3+0=10 , A->0 , C->1
[8] + [7] , A=[0,6] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,6] C=1 , END
</scratch>
1606
| 1606 |
Input:
56+582
Target:
| Input:
56+582
Target:
<scratch>
[5,6] has 2 digits.
[5,8,2] has 3 digits.
[5,6] + [5,8,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[5] + [5,8] , A=[8] , C=0 , 5+8+0=13 , A->3 , C->1
[] + [5] , A=[3,8] , C=1 , 0+5+1=6 , A->6 , C->0
[] + [] , A=[6,3,8] C=0 , END
</scratch>
638
| 638 |
Input:
159+991
Target:
| Input:
159+991
Target:
<scratch>
[1,5,9] has 3 digits.
[9,9,1] has 3 digits.
[1,5,9] + [9,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[1,5] + [9,9] , A=[0] , C=1 , 5+9+1=15 , A->5 , C->1
[1] + [9] , A=[5,0] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,5,0] C=1 , END
</scratch>
1150
| 1150 |
Input:
601+239
Target:
| Input:
601+239
Target:
<scratch>
[6,0,1] has 3 digits.
[2,3,9] has 3 digits.
[6,0,1] + [2,3,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[6,0] + [2,3] , A=[0] , C=1 , 0+3+1=4 , A->4 , C->0
[6] + [2] , A=[4,0] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,4,0] C=0 , END
</scratch>
840
| 840 |
Input:
191+427
Target:
| Input:
191+427
Target:
<scratch>
[1,9,1] has 3 digits.
[4,2,7] has 3 digits.
[1,9,1] + [4,2,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,9] + [4,2] , A=[8] , C=0 , 9+2+0=11 , A->1 , C->1
[1] + [4] , A=[1,8] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,1,8] C=0 , END
</scratch>
618
| 618 |
Input:
781+106
Target:
| Input:
781+106
Target:
<scratch>
[7,8,1] has 3 digits.
[1,0,6] has 3 digits.
[7,8,1] + [1,0,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[7,8] + [1,0] , A=[7] , C=0 , 8+0+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:
154+328
Target:
| Input:
154+328
Target:
<scratch>
[1,5,4] has 3 digits.
[3,2,8] has 3 digits.
[1,5,4] + [3,2,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[1,5] + [3,2] , A=[2] , C=1 , 5+2+1=8 , A->8 , C->0
[1] + [3] , A=[8,2] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,8,2] C=0 , END
</scratch>
482
| 482 |
Input:
410+679
Target:
| Input:
410+679
Target:
<scratch>
[4,1,0] has 3 digits.
[6,7,9] has 3 digits.
[4,1,0] + [6,7,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[4,1] + [6,7] , A=[9] , C=0 , 1+7+0=8 , A->8 , C->0
[4] + [6] , A=[8,9] , C=0 , 4+6+0=10 , A->0 , C->1
[] + [] , A=[0,8,9] C=1 , END
</scratch>
1089
| 1089 |
Input:
793+259
Target:
| Input:
793+259
Target:
<scratch>
[7,9,3] has 3 digits.
[2,5,9] has 3 digits.
[7,9,3] + [2,5,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,9] + [2,5] , A=[2] , C=1 , 9+5+1=15 , A->5 , C->1
[7] + [2] , A=[5,2] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,5,2] C=1 , END
</scratch>
1052
| 1052 |
Input:
41+63
Target:
| Input:
41+63
Target:
<scratch>
[4,1] has 2 digits.
[6,3] has 2 digits.
[4,1] + [6,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[4] + [6] , A=[4] , C=0 , 4+6+0=10 , A->0 , C->1
[] + [] , A=[0,4] C=1 , END
</scratch>
104
| 104 |
Input:
420+199
Target:
| Input:
420+199
Target:
<scratch>
[4,2,0] has 3 digits.
[1,9,9] has 3 digits.
[4,2,0] + [1,9,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[4,2] + [1,9] , A=[9] , C=0 , 2+9+0=11 , A->1 , C->1
[4] + [1] , A=[1,9] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [] , A=[6,1,9] C=0 , END
</scratch>
619
| 619 |
Input:
908+420
Target:
| Input:
908+420
Target:
<scratch>
[9,0,8] has 3 digits.
[4,2,0] has 3 digits.
[9,0,8] + [4,2,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[9,0] + [4,2] , A=[8] , C=0 , 0+2+0=2 , A->2 , C->0
[9] + [4] , A=[2,8] , C=0 , 9+4+0=13 , A->3 , C->1
[] + [] , A=[3,2,8] C=1 , END
</scratch>
1328
| 1328 |
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