input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
766+586
Target:
| Input:
766+586
Target:
<scratch>
[7,6,6] has 3 digits.
[5,8,6] has 3 digits.
[7,6,6] + [5,8,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[7,6] + [5,8] , A=[2] , C=1 , 6+8+1=15 , A->5 , C->1
[7] + [5] , A=[5,2] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,5,2] C=1 , END
</scratch>
1352
| 1352 |
Input:
828+889
Target:
| Input:
828+889
Target:
<scratch>
[8,2,8] has 3 digits.
[8,8,9] has 3 digits.
[8,2,8] + [8,8,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[8,2] + [8,8] , A=[7] , C=1 , 2+8+1=11 , A->1 , C->1
[8] + [8] , A=[1,7] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,1,7] C=1 , END
</scratch>
1717
| 1717 |
Input:
533+360
Target:
| Input:
533+360
Target:
<scratch>
[5,3,3] has 3 digits.
[3,6,0] has 3 digits.
[5,3,3] + [3,6,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[5,3] + [3,6] , A=[3] , C=0 , 3+6+0=9 , A->9 , C->0
[5] + [3] , A=[9,3] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,9,3] C=0 , END
</scratch>
893
| 893 |
Input:
799+979
Target:
| Input:
799+979
Target:
<scratch>
[7,9,9] has 3 digits.
[9,7,9] has 3 digits.
[7,9,9] + [9,7,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[7,9] + [9,7] , A=[8] , C=1 , 9+7+1=17 , A->7 , C->1
[7] + [9] , A=[7,8] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,7,8] C=1 , END
</scratch>
1778
| 1778 |
Input:
101+7
Target:
| Input:
101+7
Target:
<scratch>
[1,0,1] has 3 digits.
[7] has 1 digits.
[1,0,1] + [7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,0] + [] , A=[8] , C=0 , 0+0+0=0 , A->0 , C->0
[1] + [] , A=[0,8] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,0,8] C=0 , END
</scratch>
108
| 108 |
Input:
1+63
Target:
| Input:
1+63
Target:
<scratch>
[1] has 1 digits.
[6,3] has 2 digits.
[1] + [6,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [6] , A=[4] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,4] C=0 , END
</scratch>
64
| 64 |
Input:
695+575
Target:
| Input:
695+575
Target:
<scratch>
[6,9,5] has 3 digits.
[5,7,5] has 3 digits.
[6,9,5] + [5,7,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[6,9] + [5,7] , A=[0] , C=1 , 9+7+1=17 , A->7 , C->1
[6] + [5] , A=[7,0] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,7,0] C=1 , END
</scratch>
1270
| 1270 |
Input:
470+15
Target:
| Input:
470+15
Target:
<scratch>
[4,7,0] has 3 digits.
[1,5] has 2 digits.
[4,7,0] + [1,5] , A=[] , C=0 , 0+5+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:
378+600
Target:
| Input:
378+600
Target:
<scratch>
[3,7,8] has 3 digits.
[6,0,0] has 3 digits.
[3,7,8] + [6,0,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[3,7] + [6,0] , A=[8] , C=0 , 7+0+0=7 , A->7 , C->0
[3] + [6] , A=[7,8] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,7,8] C=0 , END
</scratch>
978
| 978 |
Input:
415+434
Target:
| Input:
415+434
Target:
<scratch>
[4,1,5] has 3 digits.
[4,3,4] has 3 digits.
[4,1,5] + [4,3,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[4,1] + [4,3] , A=[9] , C=0 , 1+3+0=4 , A->4 , C->0
[4] + [4] , A=[4,9] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,4,9] C=0 , END
</scratch>
849
| 849 |
Input:
326+784
Target:
| Input:
326+784
Target:
<scratch>
[3,2,6] has 3 digits.
[7,8,4] has 3 digits.
[3,2,6] + [7,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[3,2] + [7,8] , A=[0] , C=1 , 2+8+1=11 , A->1 , C->1
[3] + [7] , A=[1,0] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,1,0] C=1 , END
</scratch>
1110
| 1110 |
Input:
15+420
Target:
| Input:
15+420
Target:
<scratch>
[1,5] has 2 digits.
[4,2,0] has 3 digits.
[1,5] + [4,2,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[1] + [4,2] , A=[5] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [4] , A=[3,5] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,3,5] C=0 , END
</scratch>
435
| 435 |
Input:
879+379
Target:
| Input:
879+379
Target:
<scratch>
[8,7,9] has 3 digits.
[3,7,9] has 3 digits.
[8,7,9] + [3,7,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[8,7] + [3,7] , A=[8] , C=1 , 7+7+1=15 , A->5 , C->1
[8] + [3] , A=[5,8] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,5,8] C=1 , END
</scratch>
1258
| 1258 |
Input:
666+484
Target:
| Input:
666+484
Target:
<scratch>
[6,6,6] has 3 digits.
[4,8,4] has 3 digits.
[6,6,6] + [4,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6,6] + [4,8] , A=[0] , C=1 , 6+8+1=15 , A->5 , C->1
[6] + [4] , A=[5,0] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,5,0] C=1 , END
</scratch>
1150
| 1150 |
Input:
327+570
Target:
| Input:
327+570
Target:
<scratch>
[3,2,7] has 3 digits.
[5,7,0] has 3 digits.
[3,2,7] + [5,7,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[3,2] + [5,7] , A=[7] , C=0 , 2+7+0=9 , A->9 , C->0
[3] + [5] , A=[9,7] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
967+877
Target:
| Input:
967+877
Target:
<scratch>
[9,6,7] has 3 digits.
[8,7,7] has 3 digits.
[9,6,7] + [8,7,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[9,6] + [8,7] , A=[4] , C=1 , 6+7+1=14 , A->4 , C->1
[9] + [8] , A=[4,4] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,4,4] C=1 , END
</scratch>
1844
| 1844 |
Input:
9+120
Target:
| Input:
9+120
Target:
<scratch>
[9] has 1 digits.
[1,2,0] has 3 digits.
[9] + [1,2,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [1,2] , A=[9] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [1] , A=[2,9] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,2,9] C=0 , END
</scratch>
129
| 129 |
Input:
368+978
Target:
| Input:
368+978
Target:
<scratch>
[3,6,8] has 3 digits.
[9,7,8] has 3 digits.
[3,6,8] + [9,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[3,6] + [9,7] , A=[6] , C=1 , 6+7+1=14 , A->4 , C->1
[3] + [9] , A=[4,6] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,4,6] C=1 , END
</scratch>
1346
| 1346 |
Input:
530+219
Target:
| Input:
530+219
Target:
<scratch>
[5,3,0] has 3 digits.
[2,1,9] has 3 digits.
[5,3,0] + [2,1,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[5,3] + [2,1] , A=[9] , C=0 , 3+1+0=4 , A->4 , C->0
[5] + [2] , A=[4,9] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,4,9] C=0 , END
</scratch>
749
| 749 |
Input:
779+385
Target:
| Input:
779+385
Target:
<scratch>
[7,7,9] has 3 digits.
[3,8,5] has 3 digits.
[7,7,9] + [3,8,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[7,7] + [3,8] , A=[4] , C=1 , 7+8+1=16 , A->6 , C->1
[7] + [3] , A=[6,4] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,6,4] C=1 , END
</scratch>
1164
| 1164 |
Input:
310+264
Target:
| Input:
310+264
Target:
<scratch>
[3,1,0] has 3 digits.
[2,6,4] has 3 digits.
[3,1,0] + [2,6,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[3,1] + [2,6] , A=[4] , C=0 , 1+6+0=7 , A->7 , C->0
[3] + [2] , A=[7,4] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,7,4] C=0 , END
</scratch>
574
| 574 |
Input:
282+858
Target:
| Input:
282+858
Target:
<scratch>
[2,8,2] has 3 digits.
[8,5,8] has 3 digits.
[2,8,2] + [8,5,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[2,8] + [8,5] , A=[0] , C=1 , 8+5+1=14 , A->4 , C->1
[2] + [8] , A=[4,0] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,4,0] C=1 , END
</scratch>
1140
| 1140 |
Input:
568+952
Target:
| Input:
568+952
Target:
<scratch>
[5,6,8] has 3 digits.
[9,5,2] has 3 digits.
[5,6,8] + [9,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[5,6] + [9,5] , A=[0] , C=1 , 6+5+1=12 , A->2 , C->1
[5] + [9] , A=[2,0] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,2,0] C=1 , END
</scratch>
1520
| 1520 |
Input:
928+989
Target:
| Input:
928+989
Target:
<scratch>
[9,2,8] has 3 digits.
[9,8,9] has 3 digits.
[9,2,8] + [9,8,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[9,2] + [9,8] , A=[7] , C=1 , 2+8+1=11 , A->1 , C->1
[9] + [9] , A=[1,7] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,1,7] C=1 , END
</scratch>
1917
| 1917 |
Input:
697+456
Target:
| Input:
697+456
Target:
<scratch>
[6,9,7] has 3 digits.
[4,5,6] has 3 digits.
[6,9,7] + [4,5,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[6,9] + [4,5] , A=[3] , C=1 , 9+5+1=15 , A->5 , C->1
[6] + [4] , A=[5,3] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,5,3] C=1 , END
</scratch>
1153
| 1153 |
Input:
21+44
Target:
| Input:
21+44
Target:
<scratch>
[2,1] has 2 digits.
[4,4] has 2 digits.
[2,1] + [4,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[2] + [4] , A=[5] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,5] C=0 , END
</scratch>
65
| 65 |
Input:
744+25
Target:
| Input:
744+25
Target:
<scratch>
[7,4,4] has 3 digits.
[2,5] has 2 digits.
[7,4,4] + [2,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[7,4] + [2] , A=[9] , C=0 , 4+2+0=6 , A->6 , C->0
[7] + [] , A=[6,9] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,6,9] C=0 , END
</scratch>
769
| 769 |
Input:
787+598
Target:
| Input:
787+598
Target:
<scratch>
[7,8,7] has 3 digits.
[5,9,8] has 3 digits.
[7,8,7] + [5,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[7,8] + [5,9] , A=[5] , C=1 , 8+9+1=18 , A->8 , C->1
[7] + [5] , A=[8,5] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,8,5] C=1 , END
</scratch>
1385
| 1385 |
Input:
768+372
Target:
| Input:
768+372
Target:
<scratch>
[7,6,8] has 3 digits.
[3,7,2] has 3 digits.
[7,6,8] + [3,7,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[7,6] + [3,7] , A=[0] , C=1 , 6+7+1=14 , A->4 , C->1
[7] + [3] , A=[4,0] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,4,0] C=1 , END
</scratch>
1140
| 1140 |
Input:
599+705
Target:
| Input:
599+705
Target:
<scratch>
[5,9,9] has 3 digits.
[7,0,5] has 3 digits.
[5,9,9] + [7,0,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[5,9] + [7,0] , A=[4] , C=1 , 9+0+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:
447+996
Target:
| Input:
447+996
Target:
<scratch>
[4,4,7] has 3 digits.
[9,9,6] has 3 digits.
[4,4,7] + [9,9,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[4,4] + [9,9] , A=[3] , C=1 , 4+9+1=14 , A->4 , C->1
[4] + [9] , A=[4,3] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,4,3] C=1 , END
</scratch>
1443
| 1443 |
Input:
82+815
Target:
| Input:
82+815
Target:
<scratch>
[8,2] has 2 digits.
[8,1,5] has 3 digits.
[8,2] + [8,1,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[8] + [8,1] , A=[7] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [8] , A=[9,7] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
51+33
Target:
| Input:
51+33
Target:
<scratch>
[5,1] has 2 digits.
[3,3] has 2 digits.
[5,1] + [3,3] , A=[] , C=0 , 1+3+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:
679+966
Target:
| Input:
679+966
Target:
<scratch>
[6,7,9] has 3 digits.
[9,6,6] has 3 digits.
[6,7,9] + [9,6,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[6,7] + [9,6] , A=[5] , C=1 , 7+6+1=14 , A->4 , C->1
[6] + [9] , A=[4,5] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,4,5] C=1 , END
</scratch>
1645
| 1645 |
Input:
778+957
Target:
| Input:
778+957
Target:
<scratch>
[7,7,8] has 3 digits.
[9,5,7] has 3 digits.
[7,7,8] + [9,5,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[7,7] + [9,5] , A=[5] , C=1 , 7+5+1=13 , A->3 , C->1
[7] + [9] , A=[3,5] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,3,5] C=1 , END
</scratch>
1735
| 1735 |
Input:
769+591
Target:
| Input:
769+591
Target:
<scratch>
[7,6,9] has 3 digits.
[5,9,1] has 3 digits.
[7,6,9] + [5,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[7,6] + [5,9] , A=[0] , C=1 , 6+9+1=16 , A->6 , C->1
[7] + [5] , A=[6,0] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,6,0] C=1 , END
</scratch>
1360
| 1360 |
Input:
260+405
Target:
| Input:
260+405
Target:
<scratch>
[2,6,0] has 3 digits.
[4,0,5] has 3 digits.
[2,6,0] + [4,0,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[2,6] + [4,0] , A=[5] , C=0 , 6+0+0=6 , A->6 , C->0
[2] + [4] , A=[6,5] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,6,5] C=0 , END
</scratch>
665
| 665 |
Input:
288+747
Target:
| Input:
288+747
Target:
<scratch>
[2,8,8] has 3 digits.
[7,4,7] has 3 digits.
[2,8,8] + [7,4,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[2,8] + [7,4] , A=[5] , C=1 , 8+4+1=13 , A->3 , C->1
[2] + [7] , A=[3,5] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,3,5] C=1 , END
</scratch>
1035
| 1035 |
Input:
679+325
Target:
| Input:
679+325
Target:
<scratch>
[6,7,9] has 3 digits.
[3,2,5] has 3 digits.
[6,7,9] + [3,2,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[6,7] + [3,2] , A=[4] , C=1 , 7+2+1=10 , A->0 , C->1
[6] + [3] , A=[0,4] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,0,4] C=1 , END
</scratch>
1004
| 1004 |
Input:
103+520
Target:
| Input:
103+520
Target:
<scratch>
[1,0,3] has 3 digits.
[5,2,0] has 3 digits.
[1,0,3] + [5,2,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1,0] + [5,2] , A=[3] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [5] , A=[2,3] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,2,3] C=0 , END
</scratch>
623
| 623 |
Input:
599+442
Target:
| Input:
599+442
Target:
<scratch>
[5,9,9] has 3 digits.
[4,4,2] has 3 digits.
[5,9,9] + [4,4,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[5,9] + [4,4] , A=[1] , C=1 , 9+4+1=14 , A->4 , C->1
[5] + [4] , A=[4,1] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,4,1] C=1 , END
</scratch>
1041
| 1041 |
Input:
931+65
Target:
| Input:
931+65
Target:
<scratch>
[9,3,1] has 3 digits.
[6,5] has 2 digits.
[9,3,1] + [6,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[9,3] + [6] , A=[6] , C=0 , 3+6+0=9 , A->9 , C->0
[9] + [] , A=[9,6] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,9,6] C=0 , END
</scratch>
996
| 996 |
Input:
310+609
Target:
| Input:
310+609
Target:
<scratch>
[3,1,0] has 3 digits.
[6,0,9] has 3 digits.
[3,1,0] + [6,0,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[3,1] + [6,0] , A=[9] , C=0 , 1+0+0=1 , A->1 , C->0
[3] + [6] , A=[1,9] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,1,9] C=0 , END
</scratch>
919
| 919 |
Input:
447+151
Target:
| Input:
447+151
Target:
<scratch>
[4,4,7] has 3 digits.
[1,5,1] has 3 digits.
[4,4,7] + [1,5,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[4,4] + [1,5] , A=[8] , C=0 , 4+5+0=9 , A->9 , C->0
[4] + [1] , A=[9,8] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,9,8] C=0 , END
</scratch>
598
| 598 |
Input:
298+759
Target:
| Input:
298+759
Target:
<scratch>
[2,9,8] has 3 digits.
[7,5,9] has 3 digits.
[2,9,8] + [7,5,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[2,9] + [7,5] , A=[7] , C=1 , 9+5+1=15 , A->5 , C->1
[2] + [7] , A=[5,7] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,5,7] C=1 , END
</scratch>
1057
| 1057 |
Input:
353+212
Target:
| Input:
353+212
Target:
<scratch>
[3,5,3] has 3 digits.
[2,1,2] has 3 digits.
[3,5,3] + [2,1,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[3,5] + [2,1] , A=[5] , C=0 , 5+1+0=6 , A->6 , C->0
[3] + [2] , A=[6,5] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,6,5] C=0 , END
</scratch>
565
| 565 |
Input:
927+973
Target:
| Input:
927+973
Target:
<scratch>
[9,2,7] has 3 digits.
[9,7,3] has 3 digits.
[9,2,7] + [9,7,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,2] + [9,7] , A=[0] , C=1 , 2+7+1=10 , A->0 , C->1
[9] + [9] , A=[0,0] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,0,0] C=1 , END
</scratch>
1900
| 1900 |
Input:
889+555
Target:
| Input:
889+555
Target:
<scratch>
[8,8,9] has 3 digits.
[5,5,5] has 3 digits.
[8,8,9] + [5,5,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[8,8] + [5,5] , A=[4] , C=1 , 8+5+1=14 , A->4 , C->1
[8] + [5] , A=[4,4] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,4,4] C=1 , END
</scratch>
1444
| 1444 |
Input:
807+798
Target:
| Input:
807+798
Target:
<scratch>
[8,0,7] has 3 digits.
[7,9,8] has 3 digits.
[8,0,7] + [7,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[8,0] + [7,9] , A=[5] , C=1 , 0+9+1=10 , A->0 , C->1
[8] + [7] , A=[0,5] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,5] C=1 , END
</scratch>
1605
| 1605 |
Input:
300+459
Target:
| Input:
300+459
Target:
<scratch>
[3,0,0] has 3 digits.
[4,5,9] has 3 digits.
[3,0,0] + [4,5,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[3,0] + [4,5] , A=[9] , C=0 , 0+5+0=5 , A->5 , C->0
[3] + [4] , A=[5,9] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,5,9] C=0 , END
</scratch>
759
| 759 |
Input:
679+696
Target:
| Input:
679+696
Target:
<scratch>
[6,7,9] has 3 digits.
[6,9,6] has 3 digits.
[6,7,9] + [6,9,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[6,7] + [6,9] , A=[5] , C=1 , 7+9+1=17 , A->7 , C->1
[6] + [6] , A=[7,5] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,7,5] C=1 , END
</scratch>
1375
| 1375 |
Input:
729+794
Target:
| Input:
729+794
Target:
<scratch>
[7,2,9] has 3 digits.
[7,9,4] has 3 digits.
[7,2,9] + [7,9,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[7,2] + [7,9] , A=[3] , C=1 , 2+9+1=12 , A->2 , C->1
[7] + [7] , A=[2,3] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,2,3] C=1 , END
</scratch>
1523
| 1523 |
Input:
210+134
Target:
| Input:
210+134
Target:
<scratch>
[2,1,0] has 3 digits.
[1,3,4] has 3 digits.
[2,1,0] + [1,3,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[2,1] + [1,3] , A=[4] , C=0 , 1+3+0=4 , A->4 , C->0
[2] + [1] , A=[4,4] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,4,4] C=0 , END
</scratch>
344
| 344 |
Input:
241+405
Target:
| Input:
241+405
Target:
<scratch>
[2,4,1] has 3 digits.
[4,0,5] has 3 digits.
[2,4,1] + [4,0,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[2,4] + [4,0] , A=[6] , C=0 , 4+0+0=4 , A->4 , C->0
[2] + [4] , A=[4,6] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,4,6] C=0 , END
</scratch>
646
| 646 |
Input:
30+21
Target:
| Input:
30+21
Target:
<scratch>
[3,0] has 2 digits.
[2,1] has 2 digits.
[3,0] + [2,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[3] + [2] , A=[1] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,1] C=0 , END
</scratch>
51
| 51 |
Input:
721+599
Target:
| Input:
721+599
Target:
<scratch>
[7,2,1] has 3 digits.
[5,9,9] has 3 digits.
[7,2,1] + [5,9,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[7,2] + [5,9] , A=[0] , C=1 , 2+9+1=12 , A->2 , C->1
[7] + [5] , A=[2,0] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,2,0] C=1 , END
</scratch>
1320
| 1320 |
Input:
236+613
Target:
| Input:
236+613
Target:
<scratch>
[2,3,6] has 3 digits.
[6,1,3] has 3 digits.
[2,3,6] + [6,1,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[2,3] + [6,1] , A=[9] , C=0 , 3+1+0=4 , A->4 , C->0
[2] + [6] , A=[4,9] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,4,9] C=0 , END
</scratch>
849
| 849 |
Input:
776+398
Target:
| Input:
776+398
Target:
<scratch>
[7,7,6] has 3 digits.
[3,9,8] has 3 digits.
[7,7,6] + [3,9,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[7,7] + [3,9] , A=[4] , C=1 , 7+9+1=17 , A->7 , C->1
[7] + [3] , A=[7,4] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,7,4] C=1 , END
</scratch>
1174
| 1174 |
Input:
61+617
Target:
| Input:
61+617
Target:
<scratch>
[6,1] has 2 digits.
[6,1,7] has 3 digits.
[6,1] + [6,1,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[6] + [6,1] , A=[8] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [6] , A=[7,8] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,7,8] C=0 , END
</scratch>
678
| 678 |
Input:
806+162
Target:
| Input:
806+162
Target:
<scratch>
[8,0,6] has 3 digits.
[1,6,2] has 3 digits.
[8,0,6] + [1,6,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[8,0] + [1,6] , A=[8] , C=0 , 0+6+0=6 , A->6 , C->0
[8] + [1] , A=[6,8] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,6,8] C=0 , END
</scratch>
968
| 968 |
Input:
969+689
Target:
| Input:
969+689
Target:
<scratch>
[9,6,9] has 3 digits.
[6,8,9] has 3 digits.
[9,6,9] + [6,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[9,6] + [6,8] , A=[8] , C=1 , 6+8+1=15 , A->5 , C->1
[9] + [6] , A=[5,8] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,5,8] C=1 , END
</scratch>
1658
| 1658 |
Input:
688+417
Target:
| Input:
688+417
Target:
<scratch>
[6,8,8] has 3 digits.
[4,1,7] has 3 digits.
[6,8,8] + [4,1,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[6,8] + [4,1] , A=[5] , C=1 , 8+1+1=10 , A->0 , C->1
[6] + [4] , A=[0,5] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,0,5] C=1 , END
</scratch>
1105
| 1105 |
Input:
8+993
Target:
| Input:
8+993
Target:
<scratch>
[8] has 1 digits.
[9,9,3] has 3 digits.
[8] + [9,9,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [9,9] , A=[1] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [9] , A=[0,1] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
693+988
Target:
| Input:
693+988
Target:
<scratch>
[6,9,3] has 3 digits.
[9,8,8] has 3 digits.
[6,9,3] + [9,8,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,9] + [9,8] , A=[1] , C=1 , 9+8+1=18 , A->8 , C->1
[6] + [9] , A=[8,1] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,8,1] C=1 , END
</scratch>
1681
| 1681 |
Input:
246+964
Target:
| Input:
246+964
Target:
<scratch>
[2,4,6] has 3 digits.
[9,6,4] has 3 digits.
[2,4,6] + [9,6,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[2,4] + [9,6] , A=[0] , C=1 , 4+6+1=11 , A->1 , C->1
[2] + [9] , A=[1,0] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,1,0] C=1 , END
</scratch>
1210
| 1210 |
Input:
665+335
Target:
| Input:
665+335
Target:
<scratch>
[6,6,5] has 3 digits.
[3,3,5] has 3 digits.
[6,6,5] + [3,3,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[6,6] + [3,3] , A=[0] , C=1 , 6+3+1=10 , A->0 , C->1
[6] + [3] , A=[0,0] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,0,0] C=1 , END
</scratch>
1000
| 1000 |
Input:
684+648
Target:
| Input:
684+648
Target:
<scratch>
[6,8,4] has 3 digits.
[6,4,8] has 3 digits.
[6,8,4] + [6,4,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[6,8] + [6,4] , A=[2] , C=1 , 8+4+1=13 , A->3 , C->1
[6] + [6] , A=[3,2] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,3,2] C=1 , END
</scratch>
1332
| 1332 |
Input:
487+964
Target:
| Input:
487+964
Target:
<scratch>
[4,8,7] has 3 digits.
[9,6,4] has 3 digits.
[4,8,7] + [9,6,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[4,8] + [9,6] , A=[1] , C=1 , 8+6+1=15 , A->5 , C->1
[4] + [9] , A=[5,1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,5,1] C=1 , END
</scratch>
1451
| 1451 |
Input:
786+324
Target:
| Input:
786+324
Target:
<scratch>
[7,8,6] has 3 digits.
[3,2,4] has 3 digits.
[7,8,6] + [3,2,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[7,8] + [3,2] , A=[0] , C=1 , 8+2+1=11 , A->1 , C->1
[7] + [3] , A=[1,0] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,1,0] C=1 , END
</scratch>
1110
| 1110 |
Input:
384+898
Target:
| Input:
384+898
Target:
<scratch>
[3,8,4] has 3 digits.
[8,9,8] has 3 digits.
[3,8,4] + [8,9,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[3,8] + [8,9] , A=[2] , C=1 , 8+9+1=18 , A->8 , C->1
[3] + [8] , A=[8,2] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,8,2] C=1 , END
</scratch>
1282
| 1282 |
Input:
554+988
Target:
| Input:
554+988
Target:
<scratch>
[5,5,4] has 3 digits.
[9,8,8] has 3 digits.
[5,5,4] + [9,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[5,5] + [9,8] , A=[2] , C=1 , 5+8+1=14 , A->4 , C->1
[5] + [9] , A=[4,2] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,4,2] C=1 , END
</scratch>
1542
| 1542 |
Input:
319+886
Target:
| Input:
319+886
Target:
<scratch>
[3,1,9] has 3 digits.
[8,8,6] has 3 digits.
[3,1,9] + [8,8,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[3,1] + [8,8] , A=[5] , C=1 , 1+8+1=10 , A->0 , C->1
[3] + [8] , A=[0,5] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,0,5] C=1 , END
</scratch>
1205
| 1205 |
Input:
767+459
Target:
| Input:
767+459
Target:
<scratch>
[7,6,7] has 3 digits.
[4,5,9] has 3 digits.
[7,6,7] + [4,5,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[7,6] + [4,5] , A=[6] , C=1 , 6+5+1=12 , A->2 , C->1
[7] + [4] , A=[2,6] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,2,6] C=1 , END
</scratch>
1226
| 1226 |
Input:
689+392
Target:
| Input:
689+392
Target:
<scratch>
[6,8,9] has 3 digits.
[3,9,2] has 3 digits.
[6,8,9] + [3,9,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[6,8] + [3,9] , A=[1] , C=1 , 8+9+1=18 , A->8 , C->1
[6] + [3] , A=[8,1] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,8,1] C=1 , END
</scratch>
1081
| 1081 |
Input:
986+958
Target:
| Input:
986+958
Target:
<scratch>
[9,8,6] has 3 digits.
[9,5,8] has 3 digits.
[9,8,6] + [9,5,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[9,8] + [9,5] , A=[4] , C=1 , 8+5+1=14 , A->4 , C->1
[9] + [9] , A=[4,4] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,4,4] C=1 , END
</scratch>
1944
| 1944 |
Input:
799+464
Target:
| Input:
799+464
Target:
<scratch>
[7,9,9] has 3 digits.
[4,6,4] has 3 digits.
[7,9,9] + [4,6,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[7,9] + [4,6] , A=[3] , C=1 , 9+6+1=16 , A->6 , C->1
[7] + [4] , A=[6,3] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,6,3] C=1 , END
</scratch>
1263
| 1263 |
Input:
999+567
Target:
| Input:
999+567
Target:
<scratch>
[9,9,9] has 3 digits.
[5,6,7] has 3 digits.
[9,9,9] + [5,6,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[9,9] + [5,6] , A=[6] , C=1 , 9+6+1=16 , A->6 , C->1
[9] + [5] , A=[6,6] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,6,6] C=1 , END
</scratch>
1566
| 1566 |
Input:
786+957
Target:
| Input:
786+957
Target:
<scratch>
[7,8,6] has 3 digits.
[9,5,7] has 3 digits.
[7,8,6] + [9,5,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[7,8] + [9,5] , A=[3] , C=1 , 8+5+1=14 , A->4 , C->1
[7] + [9] , A=[4,3] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,4,3] C=1 , END
</scratch>
1743
| 1743 |
Input:
596+824
Target:
| Input:
596+824
Target:
<scratch>
[5,9,6] has 3 digits.
[8,2,4] has 3 digits.
[5,9,6] + [8,2,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[5,9] + [8,2] , A=[0] , C=1 , 9+2+1=12 , A->2 , C->1
[5] + [8] , A=[2,0] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,2,0] C=1 , END
</scratch>
1420
| 1420 |
Input:
889+489
Target:
| Input:
889+489
Target:
<scratch>
[8,8,9] has 3 digits.
[4,8,9] has 3 digits.
[8,8,9] + [4,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[8,8] + [4,8] , A=[8] , C=1 , 8+8+1=17 , A->7 , C->1
[8] + [4] , A=[7,8] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,7,8] C=1 , END
</scratch>
1378
| 1378 |
Input:
558+955
Target:
| Input:
558+955
Target:
<scratch>
[5,5,8] has 3 digits.
[9,5,5] has 3 digits.
[5,5,8] + [9,5,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[5,5] + [9,5] , A=[3] , C=1 , 5+5+1=11 , A->1 , C->1
[5] + [9] , A=[1,3] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,1,3] C=1 , END
</scratch>
1513
| 1513 |
Input:
978+736
Target:
| Input:
978+736
Target:
<scratch>
[9,7,8] has 3 digits.
[7,3,6] has 3 digits.
[9,7,8] + [7,3,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[9,7] + [7,3] , A=[4] , C=1 , 7+3+1=11 , A->1 , C->1
[9] + [7] , A=[1,4] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,1,4] C=1 , END
</scratch>
1714
| 1714 |
Input:
887+515
Target:
| Input:
887+515
Target:
<scratch>
[8,8,7] has 3 digits.
[5,1,5] has 3 digits.
[8,8,7] + [5,1,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[8,8] + [5,1] , A=[2] , C=1 , 8+1+1=10 , A->0 , C->1
[8] + [5] , A=[0,2] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,0,2] C=1 , END
</scratch>
1402
| 1402 |
Input:
999+555
Target:
| Input:
999+555
Target:
<scratch>
[9,9,9] has 3 digits.
[5,5,5] has 3 digits.
[9,9,9] + [5,5,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[9,9] + [5,5] , A=[4] , C=1 , 9+5+1=15 , A->5 , C->1
[9] + [5] , A=[5,4] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,5,4] C=1 , END
</scratch>
1554
| 1554 |
Input:
884+748
Target:
| Input:
884+748
Target:
<scratch>
[8,8,4] has 3 digits.
[7,4,8] has 3 digits.
[8,8,4] + [7,4,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,8] + [7,4] , A=[2] , C=1 , 8+4+1=13 , A->3 , C->1
[8] + [7] , A=[3,2] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,3,2] C=1 , END
</scratch>
1632
| 1632 |
Input:
784+926
Target:
| Input:
784+926
Target:
<scratch>
[7,8,4] has 3 digits.
[9,2,6] has 3 digits.
[7,8,4] + [9,2,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[7,8] + [9,2] , A=[0] , C=1 , 8+2+1=11 , A->1 , C->1
[7] + [9] , A=[1,0] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,1,0] C=1 , END
</scratch>
1710
| 1710 |
Input:
999+43
Target:
| Input:
999+43
Target:
<scratch>
[9,9,9] has 3 digits.
[4,3] has 2 digits.
[9,9,9] + [4,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[9,9] + [4] , A=[2] , C=1 , 9+4+1=14 , A->4 , C->1
[9] + [] , A=[4,2] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,4,2] C=1 , END
</scratch>
1042
| 1042 |
Input:
828+693
Target:
| Input:
828+693
Target:
<scratch>
[8,2,8] has 3 digits.
[6,9,3] has 3 digits.
[8,2,8] + [6,9,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[8,2] + [6,9] , A=[1] , C=1 , 2+9+1=12 , A->2 , C->1
[8] + [6] , A=[2,1] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,2,1] C=1 , END
</scratch>
1521
| 1521 |
Input:
789+398
Target:
| Input:
789+398
Target:
<scratch>
[7,8,9] has 3 digits.
[3,9,8] has 3 digits.
[7,8,9] + [3,9,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[7,8] + [3,9] , A=[7] , C=1 , 8+9+1=18 , A->8 , C->1
[7] + [3] , A=[8,7] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,8,7] C=1 , END
</scratch>
1187
| 1187 |
Input:
283+969
Target:
| Input:
283+969
Target:
<scratch>
[2,8,3] has 3 digits.
[9,6,9] has 3 digits.
[2,8,3] + [9,6,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[2,8] + [9,6] , A=[2] , C=1 , 8+6+1=15 , A->5 , C->1
[2] + [9] , A=[5,2] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,5,2] C=1 , END
</scratch>
1252
| 1252 |
Input:
788+778
Target:
| Input:
788+778
Target:
<scratch>
[7,8,8] has 3 digits.
[7,7,8] has 3 digits.
[7,8,8] + [7,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[7,8] + [7,7] , A=[6] , C=1 , 8+7+1=16 , A->6 , C->1
[7] + [7] , A=[6,6] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,6,6] C=1 , END
</scratch>
1566
| 1566 |
Input:
269+985
Target:
| Input:
269+985
Target:
<scratch>
[2,6,9] has 3 digits.
[9,8,5] has 3 digits.
[2,6,9] + [9,8,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[2,6] + [9,8] , A=[4] , C=1 , 6+8+1=15 , A->5 , C->1
[2] + [9] , A=[5,4] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,5,4] C=1 , END
</scratch>
1254
| 1254 |
Input:
736+684
Target:
| Input:
736+684
Target:
<scratch>
[7,3,6] has 3 digits.
[6,8,4] has 3 digits.
[7,3,6] + [6,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[7,3] + [6,8] , A=[0] , C=1 , 3+8+1=12 , A->2 , C->1
[7] + [6] , A=[2,0] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,2,0] C=1 , END
</scratch>
1420
| 1420 |
Input:
939+776
Target:
| Input:
939+776
Target:
<scratch>
[9,3,9] has 3 digits.
[7,7,6] has 3 digits.
[9,3,9] + [7,7,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[9,3] + [7,7] , A=[5] , C=1 , 3+7+1=11 , A->1 , C->1
[9] + [7] , A=[1,5] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,1,5] C=1 , END
</scratch>
1715
| 1715 |
Input:
873+239
Target:
| Input:
873+239
Target:
<scratch>
[8,7,3] has 3 digits.
[2,3,9] has 3 digits.
[8,7,3] + [2,3,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[8,7] + [2,3] , A=[2] , C=1 , 7+3+1=11 , A->1 , C->1
[8] + [2] , A=[1,2] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,1,2] C=1 , END
</scratch>
1112
| 1112 |
Input:
856+747
Target:
| Input:
856+747
Target:
<scratch>
[8,5,6] has 3 digits.
[7,4,7] has 3 digits.
[8,5,6] + [7,4,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[8,5] + [7,4] , A=[3] , C=1 , 5+4+1=10 , A->0 , C->1
[8] + [7] , A=[0,3] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,3] C=1 , END
</scratch>
1603
| 1603 |
Input:
459+747
Target:
| Input:
459+747
Target:
<scratch>
[4,5,9] has 3 digits.
[7,4,7] has 3 digits.
[4,5,9] + [7,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[4,5] + [7,4] , A=[6] , C=1 , 5+4+1=10 , A->0 , C->1
[4] + [7] , A=[0,6] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,0,6] C=1 , END
</scratch>
1206
| 1206 |
Input:
846+388
Target:
| Input:
846+388
Target:
<scratch>
[8,4,6] has 3 digits.
[3,8,8] has 3 digits.
[8,4,6] + [3,8,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[8,4] + [3,8] , A=[4] , C=1 , 4+8+1=13 , A->3 , C->1
[8] + [3] , A=[3,4] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,3,4] C=1 , END
</scratch>
1234
| 1234 |
Input:
799+793
Target:
| Input:
799+793
Target:
<scratch>
[7,9,9] has 3 digits.
[7,9,3] has 3 digits.
[7,9,9] + [7,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[7,9] + [7,9] , A=[2] , C=1 , 9+9+1=19 , A->9 , C->1
[7] + [7] , A=[9,2] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,9,2] C=1 , END
</scratch>
1592
| 1592 |
Input:
687+825
Target:
| Input:
687+825
Target:
<scratch>
[6,8,7] has 3 digits.
[8,2,5] has 3 digits.
[6,8,7] + [8,2,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[6,8] + [8,2] , A=[2] , C=1 , 8+2+1=11 , A->1 , C->1
[6] + [8] , A=[1,2] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,1,2] C=1 , END
</scratch>
1512
| 1512 |
Subsets and Splits