nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
44,
31,
4,
93
] | 51 | [
"44+4=48",
"93/31=3",
"48+3=51"
] | Current State: 51:[44, 31, 4, 93], Operations: []
Exploring Operation: 44+4=48, Resulting Numbers: [31, 93, 48]
Generated Node #2: [31, 93, 48] from Operation: 44+4=48
Current State: 51:[31, 93, 48], Operations: ['44+4=48']
Exploring Operation: 93/31=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 93/31=3
Current State: 51:[48, 3], Operations: ['44+4=48', '93/31=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
11,
20,
80,
17
] | 66 | [
"11+20=31",
"80+17=97",
"97-31=66"
] | Current State: 66:[11, 20, 80, 17], Operations: []
Exploring Operation: 11+20=31, Resulting Numbers: [80, 17, 31]
Generated Node #2: [80, 17, 31] from Operation: 11+20=31
Current State: 66:[80, 17, 31], Operations: ['11+20=31']
Exploring Operation: 80+17=97, Resulting Numbers: [31, 97]
Generated Node #3: [31, 97] from Operation: 80+17=97
Current State: 66:[31, 97], Operations: ['11+20=31', '80+17=97']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
6,
11,
27,
68
] | 54 | [
"6*11=66",
"68-66=2",
"27*2=54"
] | Current State: 54:[6, 11, 27, 68], Operations: []
Exploring Operation: 6*11=66, Resulting Numbers: [27, 68, 66]
Generated Node #2: [27, 68, 66] from Operation: 6*11=66
Current State: 54:[27, 68, 66], Operations: ['6*11=66']
Exploring Operation: 68-66=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 68-66=2
Current State: 54:[27, 2], Operations: ['6*11=66', '68-66=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
44,
13,
54,
37
] | 34 | [
"44+13=57",
"54+37=91",
"91-57=34"
] | Current State: 34:[44, 13, 54, 37], Operations: []
Exploring Operation: 44+13=57, Resulting Numbers: [54, 37, 57]
Generated Node #2: [54, 37, 57] from Operation: 44+13=57
Current State: 34:[54, 37, 57], Operations: ['44+13=57']
Exploring Operation: 54+37=91, Resulting Numbers: [57, 91]
Generated Node #3: [57, 91] from Operation: 54+37=91
Current State: 34:[57, 91], Operations: ['44+13=57', '54+37=91']
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
25,
41,
30,
6
] | 61 | [
"25+41=66",
"30/6=5",
"66-5=61"
] | Current State: 61:[25, 41, 30, 6], Operations: []
Exploring Operation: 25+41=66, Resulting Numbers: [30, 6, 66]
Generated Node #2: [30, 6, 66] from Operation: 25+41=66
Current State: 61:[30, 6, 66], Operations: ['25+41=66']
Exploring Operation: 30/6=5, Resulting Numbers: [66, 5]
Generated Node #3: [66, 5] from Operation: 30/6=5
Current State: 61:[66, 5], Operations: ['25+41=66', '30/6=5']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
4,
3,
96,
13
] | 63 | [
"96/4=24",
"3*13=39",
"24+39=63"
] | Current State: 63:[4, 3, 96, 13], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [3, 13, 24]
Generated Node #2: [3, 13, 24] from Operation: 96/4=24
Current State: 63:[3, 13, 24], Operations: ['96/4=24']
Exploring Operation: 3*13=39, Resulting Numbers: [24, 39]
Generated Node #3: [24, 39] from Operation: 3*13=39
Current State: 63:[24, 39], Operations: ['96/4=24', '3*13=39']
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
8,
38,
1,
40
] | 69 | [
"38-8=30",
"40-1=39",
"30+39=69"
] | Current State: 69:[8, 38, 1, 40], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [1, 40, 30]
Generated Node #2: [1, 40, 30] from Operation: 38-8=30
Current State: 69:[1, 40, 30], Operations: ['38-8=30']
Exploring Operation: 40-1=39, Resulting Numbers: [30, 39]
Generated Node #3: [30, 39] from Operation: 40-1=39
Current State: 69:[30, 39], Operations: ['38-8=30', '40-1=39']
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
3,
2,
90,
37
] | 85 | [
"3+37=40",
"90/2=45",
"40+45=85"
] | Current State: 85:[3, 2, 90, 37], Operations: []
Exploring Operation: 3+37=40, Resulting Numbers: [2, 90, 40]
Generated Node #2: [2, 90, 40] from Operation: 3+37=40
Current State: 85:[2, 90, 40], Operations: ['3+37=40']
Exploring Operation: 90/2=45, Resulting Numbers: [40, 45]
Generated Node #3: [40, 45] from Operation: 90/2=45
Current State: 85:[40, 45], Operations: ['3+37=40', '90/2=45']
Exploring Operation: 40+45=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
29,
60,
97,
39
] | 91 | [
"39-29=10",
"60/10=6",
"97-6=91"
] | Current State: 91:[29, 60, 97, 39], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [60, 97, 10]
Generated Node #2: [60, 97, 10] from Operation: 39-29=10
Current State: 91:[60, 97, 10], Operations: ['39-29=10']
Exploring Operation: 60/10=6, Resulting Numbers: [97, 6]
Generated Node #3: [97, 6] from Operation: 60/10=6
Current State: 91:[97, 6], Operations: ['39-29=10', '60/10=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
4,
52,
17
] | 27 | [
"4+4=8",
"52-17=35",
"35-8=27"
] | Current State: 27:[4, 4, 52, 17], Operations: []
Exploring Operation: 4+4=8, Resulting Numbers: [52, 17, 8]
Generated Node #2: [52, 17, 8] from Operation: 4+4=8
Current State: 27:[52, 17, 8], Operations: ['4+4=8']
Exploring Operation: 52-17=35, Resulting Numbers: [8, 35]
Generated Node #3: [8, 35] from Operation: 52-17=35
Current State: 27:[8, 35], Operations: ['4+4=8', '52-17=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
98,
39,
98,
13
] | 39 | [
"98-98=0",
"13*0=0",
"39+0=39"
] | Current State: 39:[98, 39, 98, 13], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [39, 13, 0]
Generated Node #2: [39, 13, 0] from Operation: 98-98=0
Current State: 39:[39, 13, 0], Operations: ['98-98=0']
Exploring Operation: 13*0=0, Resulting Numbers: [39, 0]
Generated Node #3: [39, 0] from Operation: 13*0=0
Current State: 39:[39, 0], Operations: ['98-98=0', '13*0=0']
Exploring Operation: 39+0=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
7,
10,
35,
2
] | 57 | [
"35-10=25",
"2*25=50",
"7+50=57"
] | Current State: 57:[7, 10, 35, 2], Operations: []
Exploring Operation: 35-10=25, Resulting Numbers: [7, 2, 25]
Generated Node #2: [7, 2, 25] from Operation: 35-10=25
Current State: 57:[7, 2, 25], Operations: ['35-10=25']
Exploring Operation: 2*25=50, Resulting Numbers: [7, 50]
Generated Node #3: [7, 50] from Operation: 2*25=50
Current State: 57:[7, 50], Operations: ['35-10=25', '2*25=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
30,
42,
56,
29
] | 45 | [
"30+42=72",
"56-29=27",
"72-27=45"
] | Current State: 45:[30, 42, 56, 29], Operations: []
Exploring Operation: 30+42=72, Resulting Numbers: [56, 29, 72]
Generated Node #2: [56, 29, 72] from Operation: 30+42=72
Current State: 45:[56, 29, 72], Operations: ['30+42=72']
Exploring Operation: 56-29=27, Resulting Numbers: [72, 27]
Generated Node #3: [72, 27] from Operation: 56-29=27
Current State: 45:[72, 27], Operations: ['30+42=72', '56-29=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
84,
14,
15,
6
] | 89 | [
"84+14=98",
"15-6=9",
"98-9=89"
] | Current State: 89:[84, 14, 15, 6], Operations: []
Exploring Operation: 84+14=98, Resulting Numbers: [15, 6, 98]
Generated Node #2: [15, 6, 98] from Operation: 84+14=98
Current State: 89:[15, 6, 98], Operations: ['84+14=98']
Exploring Operation: 15-6=9, Resulting Numbers: [98, 9]
Generated Node #3: [98, 9] from Operation: 15-6=9
Current State: 89:[98, 9], Operations: ['84+14=98', '15-6=9']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
45,
25,
27
] | 83 | [
"3*45=135",
"25+27=52",
"135-52=83"
] | Current State: 83:[3, 45, 25, 27], Operations: []
Exploring Operation: 3*45=135, Resulting Numbers: [25, 27, 135]
Generated Node #2: [25, 27, 135] from Operation: 3*45=135
Current State: 83:[25, 27, 135], Operations: ['3*45=135']
Exploring Operation: 25+27=52, Resulting Numbers: [135, 52]
Generated Node #3: [135, 52] from Operation: 25+27=52
Current State: 83:[135, 52], Operations: ['3*45=135', '25+27=52']
Exploring Operation: 135-52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
71,
15,
11,
47
] | 20 | [
"71-15=56",
"47-11=36",
"56-36=20"
] | Current State: 20:[71, 15, 11, 47], Operations: []
Exploring Operation: 71-15=56, Resulting Numbers: [11, 47, 56]
Generated Node #2: [11, 47, 56] from Operation: 71-15=56
Current State: 20:[11, 47, 56], Operations: ['71-15=56']
Exploring Operation: 47-11=36, Resulting Numbers: [56, 36]
Generated Node #3: [56, 36] from Operation: 47-11=36
Current State: 20:[56, 36], Operations: ['71-15=56', '47-11=36']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
55,
13,
63,
72
] | 62 | [
"72-63=9",
"13*9=117",
"117-55=62"
] | Current State: 62:[55, 13, 63, 72], Operations: []
Exploring Operation: 72-63=9, Resulting Numbers: [55, 13, 9]
Generated Node #2: [55, 13, 9] from Operation: 72-63=9
Current State: 62:[55, 13, 9], Operations: ['72-63=9']
Exploring Operation: 13*9=117, Resulting Numbers: [55, 117]
Generated Node #3: [55, 117] from Operation: 13*9=117
Current State: 62:[55, 117], Operations: ['72-63=9', '13*9=117']
Exploring Operation: 117-55=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
51,
30,
76,
2
] | 20 | [
"76-51=25",
"2*25=50",
"50-30=20"
] | Current State: 20:[51, 30, 76, 2], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [30, 2, 25]
Generated Node #2: [30, 2, 25] from Operation: 76-51=25
Current State: 20:[30, 2, 25], Operations: ['76-51=25']
Exploring Operation: 2*25=50, Resulting Numbers: [30, 50]
Generated Node #3: [30, 50] from Operation: 2*25=50
Current State: 20:[30, 50], Operations: ['76-51=25', '2*25=50']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
27,
12,
92
] | 95 | [
"2*12=24",
"27+92=119",
"119-24=95"
] | Current State: 95:[2, 27, 12, 92], Operations: []
Exploring Operation: 2*12=24, Resulting Numbers: [27, 92, 24]
Generated Node #2: [27, 92, 24] from Operation: 2*12=24
Current State: 95:[27, 92, 24], Operations: ['2*12=24']
Exploring Operation: 27+92=119, Resulting Numbers: [24, 119]
Generated Node #3: [24, 119] from Operation: 27+92=119
Current State: 95:[24, 119], Operations: ['2*12=24', '27+92=119']
Exploring Operation: 119-24=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
29,
4,
26,
75
] | 82 | [
"29+4=33",
"75-26=49",
"33+49=82"
] | Current State: 82:[29, 4, 26, 75], Operations: []
Exploring Operation: 29+4=33, Resulting Numbers: [26, 75, 33]
Generated Node #2: [26, 75, 33] from Operation: 29+4=33
Current State: 82:[26, 75, 33], Operations: ['29+4=33']
Exploring Operation: 75-26=49, Resulting Numbers: [33, 49]
Generated Node #3: [33, 49] from Operation: 75-26=49
Current State: 82:[33, 49], Operations: ['29+4=33', '75-26=49']
Exploring Operation: 33+49=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
87,
22,
25,
47
] | 37 | [
"87+22=109",
"25+47=72",
"109-72=37"
] | Current State: 37:[87, 22, 25, 47], Operations: []
Exploring Operation: 87+22=109, Resulting Numbers: [25, 47, 109]
Generated Node #2: [25, 47, 109] from Operation: 87+22=109
Current State: 37:[25, 47, 109], Operations: ['87+22=109']
Exploring Operation: 25+47=72, Resulting Numbers: [109, 72]
Generated Node #3: [109, 72] from Operation: 25+47=72
Current State: 37:[109, 72], Operations: ['87+22=109', '25+47=72']
Exploring Operation: 109-72=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
55,
52,
65,
80
] | 44 | [
"65-55=10",
"80/10=8",
"52-8=44"
] | Current State: 44:[55, 52, 65, 80], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [52, 80, 10]
Generated Node #2: [52, 80, 10] from Operation: 65-55=10
Current State: 44:[52, 80, 10], Operations: ['65-55=10']
Exploring Operation: 80/10=8, Resulting Numbers: [52, 8]
Generated Node #3: [52, 8] from Operation: 80/10=8
Current State: 44:[52, 8], Operations: ['65-55=10', '80/10=8']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
19,
15,
9,
56
] | 94 | [
"19-9=10",
"15*10=150",
"150-56=94"
] | Current State: 94:[19, 15, 9, 56], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [15, 56, 10]
Generated Node #2: [15, 56, 10] from Operation: 19-9=10
Current State: 94:[15, 56, 10], Operations: ['19-9=10']
Exploring Operation: 15*10=150, Resulting Numbers: [56, 150]
Generated Node #3: [56, 150] from Operation: 15*10=150
Current State: 94:[56, 150], Operations: ['19-9=10', '15*10=150']
Exploring Operation: 150-56=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
73,
68,
32,
35
] | 44 | [
"73*32=2336",
"68*35=2380",
"2380-2336=44"
] | Current State: 44:[73, 68, 32, 35], Operations: []
Exploring Operation: 73*32=2336, Resulting Numbers: [68, 35, 2336]
Generated Node #2: [68, 35, 2336] from Operation: 73*32=2336
Current State: 44:[68, 35, 2336], Operations: ['73*32=2336']
Exploring Operation: 68*35=2380, Resulting Numbers: [2336, 2380]
Generated Node #3: [2336, 2380] from Operation: 68*35=2380
Current State: 44:[2336, 2380], Operations: ['73*32=2336', '68*35=2380']
Exploring Operation: 2380-2336=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
4,
18,
77,
14
] | 39 | [
"4*14=56",
"18+77=95",
"95-56=39"
] | Current State: 39:[4, 18, 77, 14], Operations: []
Exploring Operation: 4*14=56, Resulting Numbers: [18, 77, 56]
Generated Node #2: [18, 77, 56] from Operation: 4*14=56
Current State: 39:[18, 77, 56], Operations: ['4*14=56']
Exploring Operation: 18+77=95, Resulting Numbers: [56, 95]
Generated Node #3: [56, 95] from Operation: 18+77=95
Current State: 39:[56, 95], Operations: ['4*14=56', '18+77=95']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
9,
83,
67,
96
] | 63 | [
"9+83=92",
"96-67=29",
"92-29=63"
] | Current State: 63:[9, 83, 67, 96], Operations: []
Exploring Operation: 9+83=92, Resulting Numbers: [67, 96, 92]
Generated Node #2: [67, 96, 92] from Operation: 9+83=92
Current State: 63:[67, 96, 92], Operations: ['9+83=92']
Exploring Operation: 96-67=29, Resulting Numbers: [92, 29]
Generated Node #3: [92, 29] from Operation: 96-67=29
Current State: 63:[92, 29], Operations: ['9+83=92', '96-67=29']
Exploring Operation: 92-29=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
5,
5,
12,
37
] | 49 | [
"5-5=0",
"12+37=49",
"0+49=49"
] | Current State: 49:[5, 5, 12, 37], Operations: []
Exploring Operation: 5-5=0, Resulting Numbers: [12, 37, 0]
Generated Node #2: [12, 37, 0] from Operation: 5-5=0
Current State: 49:[12, 37, 0], Operations: ['5-5=0']
Exploring Operation: 12+37=49, Resulting Numbers: [0, 49]
Generated Node #3: [0, 49] from Operation: 12+37=49
Current State: 49:[0, 49], Operations: ['5-5=0', '12+37=49']
Exploring Operation: 0+49=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
7,
70,
56,
77
] | 13 | [
"70-56=14",
"77+14=91",
"91/7=13"
] | Current State: 13:[7, 70, 56, 77], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [7, 77, 14]
Generated Node #2: [7, 77, 14] from Operation: 70-56=14
Current State: 13:[7, 77, 14], Operations: ['70-56=14']
Exploring Operation: 77+14=91, Resulting Numbers: [7, 91]
Generated Node #3: [7, 91] from Operation: 77+14=91
Current State: 13:[7, 91], Operations: ['70-56=14', '77+14=91']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
34,
70,
4,
18
] | 36 | [
"70-34=36",
"4*18=72",
"72-36=36"
] | Current State: 36:[34, 70, 4, 18], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [4, 18, 36]
Generated Node #2: [4, 18, 36] from Operation: 70-34=36
Current State: 36:[4, 18, 36], Operations: ['70-34=36']
Exploring Operation: 4*18=72, Resulting Numbers: [36, 72]
Generated Node #3: [36, 72] from Operation: 4*18=72
Current State: 36:[36, 72], Operations: ['70-34=36', '4*18=72']
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
48,
88,
16,
3
] | 97 | [
"48/16=3",
"3*3=9",
"88+9=97"
] | Current State: 97:[48, 88, 16, 3], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [88, 3, 3]
Generated Node #2: [88, 3, 3] from Operation: 48/16=3
Current State: 97:[88, 3, 3], Operations: ['48/16=3']
Exploring Operation: 3*3=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 3*3=9
Current State: 97:[88, 9], Operations: ['48/16=3', '3*3=9']
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
70,
87,
74,
41
] | 50 | [
"87-70=17",
"74-41=33",
"17+33=50"
] | Current State: 50:[70, 87, 74, 41], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [74, 41, 17]
Generated Node #2: [74, 41, 17] from Operation: 87-70=17
Current State: 50:[74, 41, 17], Operations: ['87-70=17']
Exploring Operation: 74-41=33, Resulting Numbers: [17, 33]
Generated Node #3: [17, 33] from Operation: 74-41=33
Current State: 50:[17, 33], Operations: ['87-70=17', '74-41=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
4,
73,
63,
94
] | 85 | [
"4*63=252",
"73+94=167",
"252-167=85"
] | Current State: 85:[4, 73, 63, 94], Operations: []
Exploring Operation: 4*63=252, Resulting Numbers: [73, 94, 252]
Generated Node #2: [73, 94, 252] from Operation: 4*63=252
Current State: 85:[73, 94, 252], Operations: ['4*63=252']
Exploring Operation: 73+94=167, Resulting Numbers: [252, 167]
Generated Node #3: [252, 167] from Operation: 73+94=167
Current State: 85:[252, 167], Operations: ['4*63=252', '73+94=167']
Exploring Operation: 252-167=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
19,
6,
60,
37
] | 10 | [
"19-6=13",
"60-37=23",
"23-13=10"
] | Current State: 10:[19, 6, 60, 37], Operations: []
Exploring Operation: 19-6=13, Resulting Numbers: [60, 37, 13]
Generated Node #2: [60, 37, 13] from Operation: 19-6=13
Current State: 10:[60, 37, 13], Operations: ['19-6=13']
Exploring Operation: 60-37=23, Resulting Numbers: [13, 23]
Generated Node #3: [13, 23] from Operation: 60-37=23
Current State: 10:[13, 23], Operations: ['19-6=13', '60-37=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
85,
21,
19,
78
] | 22 | [
"85-78=7",
"21/7=3",
"19+3=22"
] | Current State: 22:[85, 21, 19, 78], Operations: []
Exploring Operation: 85-78=7, Resulting Numbers: [21, 19, 7]
Generated Node #2: [21, 19, 7] from Operation: 85-78=7
Current State: 22:[21, 19, 7], Operations: ['85-78=7']
Exploring Operation: 21/7=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 21/7=3
Current State: 22:[19, 3], Operations: ['85-78=7', '21/7=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
11,
96,
66,
88
] | 98 | [
"88-66=22",
"22/11=2",
"96+2=98"
] | Current State: 98:[11, 96, 66, 88], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [11, 96, 22]
Generated Node #2: [11, 96, 22] from Operation: 88-66=22
Current State: 98:[11, 96, 22], Operations: ['88-66=22']
Exploring Operation: 22/11=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 22/11=2
Current State: 98:[96, 2], Operations: ['88-66=22', '22/11=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
44,
8,
26,
20
] | 98 | [
"44+8=52",
"26+20=46",
"52+46=98"
] | Current State: 98:[44, 8, 26, 20], Operations: []
Exploring Operation: 44+8=52, Resulting Numbers: [26, 20, 52]
Generated Node #2: [26, 20, 52] from Operation: 44+8=52
Current State: 98:[26, 20, 52], Operations: ['44+8=52']
Exploring Operation: 26+20=46, Resulting Numbers: [52, 46]
Generated Node #3: [52, 46] from Operation: 26+20=46
Current State: 98:[52, 46], Operations: ['44+8=52', '26+20=46']
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
8,
12,
16,
9
] | 90 | [
"16/8=2",
"12-2=10",
"9*10=90"
] | Current State: 90:[8, 12, 16, 9], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [12, 9, 2]
Generated Node #2: [12, 9, 2] from Operation: 16/8=2
Current State: 90:[12, 9, 2], Operations: ['16/8=2']
Exploring Operation: 12-2=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 12-2=10
Current State: 90:[9, 10], Operations: ['16/8=2', '12-2=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
6,
21,
6,
77
] | 68 | [
"21-6=15",
"6+77=83",
"83-15=68"
] | Current State: 68:[6, 21, 6, 77], Operations: []
Exploring Operation: 21-6=15, Resulting Numbers: [77, 15]
Generated Node #2: [77, 15] from Operation: 21-6=15
Current State: 68:[77, 15], Operations: ['21-6=15']
Exploring Operation: 6+77=83, Resulting Numbers: [15, 83]
Generated Node #3: [15, 83] from Operation: 6+77=83
Current State: 68:[15, 83], Operations: ['21-6=15', '6+77=83']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
13,
78,
51,
6
] | 51 | [
"78/13=6",
"51+6=57",
"57-6=51"
] | Current State: 51:[13, 78, 51, 6], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [51, 6, 6]
Generated Node #2: [51, 6, 6] from Operation: 78/13=6
Current State: 51:[51, 6, 6], Operations: ['78/13=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,51 equal: Goal Reached
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
63,
44,
67,
18
] | 68 | [
"63-44=19",
"67-18=49",
"19+49=68"
] | Current State: 68:[63, 44, 67, 18], Operations: []
Exploring Operation: 63-44=19, Resulting Numbers: [67, 18, 19]
Generated Node #2: [67, 18, 19] from Operation: 63-44=19
Current State: 68:[67, 18, 19], Operations: ['63-44=19']
Exploring Operation: 67-18=49, Resulting Numbers: [19, 49]
Generated Node #3: [19, 49] from Operation: 67-18=49
Current State: 68:[19, 49], Operations: ['63-44=19', '67-18=49']
Exploring Operation: 19+49=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
27,
56,
74,
30
] | 75 | [
"56-27=29",
"74+30=104",
"104-29=75"
] | Current State: 75:[27, 56, 74, 30], Operations: []
Exploring Operation: 56-27=29, Resulting Numbers: [74, 30, 29]
Generated Node #2: [74, 30, 29] from Operation: 56-27=29
Current State: 75:[74, 30, 29], Operations: ['56-27=29']
Exploring Operation: 74+30=104, Resulting Numbers: [29, 104]
Generated Node #3: [29, 104] from Operation: 74+30=104
Current State: 75:[29, 104], Operations: ['56-27=29', '74+30=104']
Exploring Operation: 104-29=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
7,
66,
63,
75
] | 32 | [
"66-63=3",
"75/3=25",
"7+25=32"
] | Current State: 32:[7, 66, 63, 75], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [7, 75, 3]
Generated Node #2: [7, 75, 3] from Operation: 66-63=3
Current State: 32:[7, 75, 3], Operations: ['66-63=3']
Exploring Operation: 75/3=25, Resulting Numbers: [7, 25]
Generated Node #3: [7, 25] from Operation: 75/3=25
Current State: 32:[7, 25], Operations: ['66-63=3', '75/3=25']
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
28,
31,
63,
2
] | 88 | [
"28*2=56",
"63-31=32",
"56+32=88"
] | Current State: 88:[28, 31, 63, 2], Operations: []
Exploring Operation: 28*2=56, Resulting Numbers: [31, 63, 56]
Generated Node #2: [31, 63, 56] from Operation: 28*2=56
Current State: 88:[31, 63, 56], Operations: ['28*2=56']
Exploring Operation: 63-31=32, Resulting Numbers: [56, 32]
Generated Node #3: [56, 32] from Operation: 63-31=32
Current State: 88:[56, 32], Operations: ['28*2=56', '63-31=32']
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
79,
76,
88
] | 74 | [
"70+88=158",
"158/79=2",
"76-2=74"
] | Current State: 74:[70, 79, 76, 88], Operations: []
Exploring Operation: 70+88=158, Resulting Numbers: [79, 76, 158]
Generated Node #2: [79, 76, 158] from Operation: 70+88=158
Current State: 74:[79, 76, 158], Operations: ['70+88=158']
Exploring Operation: 158/79=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 158/79=2
Current State: 74:[76, 2], Operations: ['70+88=158', '158/79=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
70,
31,
60,
3
] | 24 | [
"70-31=39",
"60+3=63",
"63-39=24"
] | Current State: 24:[70, 31, 60, 3], Operations: []
Exploring Operation: 70-31=39, Resulting Numbers: [60, 3, 39]
Generated Node #2: [60, 3, 39] from Operation: 70-31=39
Current State: 24:[60, 3, 39], Operations: ['70-31=39']
Exploring Operation: 60+3=63, Resulting Numbers: [39, 63]
Generated Node #3: [39, 63] from Operation: 60+3=63
Current State: 24:[39, 63], Operations: ['70-31=39', '60+3=63']
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
22,
90,
30
] | 76 | [
"22*90=1980",
"1980/30=66",
"10+66=76"
] | Current State: 76:[10, 22, 90, 30], Operations: []
Exploring Operation: 22*90=1980, Resulting Numbers: [10, 30, 1980]
Generated Node #2: [10, 30, 1980] from Operation: 22*90=1980
Current State: 76:[10, 30, 1980], Operations: ['22*90=1980']
Exploring Operation: 1980/30=66, Resulting Numbers: [10, 66]
Generated Node #3: [10, 66] from Operation: 1980/30=66
Current State: 76:[10, 66], Operations: ['22*90=1980', '1980/30=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
44,
66,
66,
15
] | 18 | [
"66-44=22",
"66/22=3",
"15+3=18"
] | Current State: 18:[44, 66, 66, 15], Operations: []
Exploring Operation: 66-44=22, Resulting Numbers: [15, 22]
Generated Node #2: [15, 22] from Operation: 66-44=22
Current State: 18:[15, 22], Operations: ['66-44=22']
Exploring Operation: 66/22=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 66/22=3
Current State: 18:[15, 3], Operations: ['66-44=22', '66/22=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
56,
25,
12,
42
] | 61 | [
"56-25=31",
"42-12=30",
"31+30=61"
] | Current State: 61:[56, 25, 12, 42], Operations: []
Exploring Operation: 56-25=31, Resulting Numbers: [12, 42, 31]
Generated Node #2: [12, 42, 31] from Operation: 56-25=31
Current State: 61:[12, 42, 31], Operations: ['56-25=31']
Exploring Operation: 42-12=30, Resulting Numbers: [31, 30]
Generated Node #3: [31, 30] from Operation: 42-12=30
Current State: 61:[31, 30], Operations: ['56-25=31', '42-12=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
49,
32,
16,
69
] | 59 | [
"49+69=118",
"32/16=2",
"118/2=59"
] | Current State: 59:[49, 32, 16, 69], Operations: []
Exploring Operation: 49+69=118, Resulting Numbers: [32, 16, 118]
Generated Node #2: [32, 16, 118] from Operation: 49+69=118
Current State: 59:[32, 16, 118], Operations: ['49+69=118']
Exploring Operation: 32/16=2, Resulting Numbers: [118, 2]
Generated Node #3: [118, 2] from Operation: 32/16=2
Current State: 59:[118, 2], Operations: ['49+69=118', '32/16=2']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
99,
72,
91,
2
] | 76 | [
"99-91=8",
"8/2=4",
"72+4=76"
] | Current State: 76:[99, 72, 91, 2], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [72, 2, 8]
Generated Node #2: [72, 2, 8] from Operation: 99-91=8
Current State: 76:[72, 2, 8], Operations: ['99-91=8']
Exploring Operation: 8/2=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 8/2=4
Current State: 76:[72, 4], Operations: ['99-91=8', '8/2=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
44,
84,
35,
73
] | 78 | [
"84-44=40",
"73-35=38",
"40+38=78"
] | Current State: 78:[44, 84, 35, 73], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [35, 73, 40]
Generated Node #2: [35, 73, 40] from Operation: 84-44=40
Current State: 78:[35, 73, 40], Operations: ['84-44=40']
Exploring Operation: 73-35=38, Resulting Numbers: [40, 38]
Generated Node #3: [40, 38] from Operation: 73-35=38
Current State: 78:[40, 38], Operations: ['84-44=40', '73-35=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
82,
77,
60,
6
] | 71 | [
"82-77=5",
"60+6=66",
"5+66=71"
] | Current State: 71:[82, 77, 60, 6], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [60, 6, 5]
Generated Node #2: [60, 6, 5] from Operation: 82-77=5
Current State: 71:[60, 6, 5], Operations: ['82-77=5']
Exploring Operation: 60+6=66, Resulting Numbers: [5, 66]
Generated Node #3: [5, 66] from Operation: 60+6=66
Current State: 71:[5, 66], Operations: ['82-77=5', '60+6=66']
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
12,
99,
91,
49
] | 45 | [
"99-12=87",
"91-49=42",
"87-42=45"
] | Current State: 45:[12, 99, 91, 49], Operations: []
Exploring Operation: 99-12=87, Resulting Numbers: [91, 49, 87]
Generated Node #2: [91, 49, 87] from Operation: 99-12=87
Current State: 45:[91, 49, 87], Operations: ['99-12=87']
Exploring Operation: 91-49=42, Resulting Numbers: [87, 42]
Generated Node #3: [87, 42] from Operation: 91-49=42
Current State: 45:[87, 42], Operations: ['99-12=87', '91-49=42']
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
49,
57,
35,
36
] | 35 | [
"49+57=106",
"35+36=71",
"106-71=35"
] | Current State: 35:[49, 57, 35, 36], Operations: []
Exploring Operation: 49+57=106, Resulting Numbers: [35, 36, 106]
Generated Node #2: [35, 36, 106] from Operation: 49+57=106
Current State: 35:[35, 36, 106], Operations: ['49+57=106']
Exploring Operation: 35+36=71, Resulting Numbers: [106, 71]
Generated Node #3: [106, 71] from Operation: 35+36=71
Current State: 35:[106, 71], Operations: ['49+57=106', '35+36=71']
Exploring Operation: 106-71=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
47,
57,
29,
3
] | 77 | [
"57-47=10",
"29*3=87",
"87-10=77"
] | Current State: 77:[47, 57, 29, 3], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [29, 3, 10]
Generated Node #2: [29, 3, 10] from Operation: 57-47=10
Current State: 77:[29, 3, 10], Operations: ['57-47=10']
Exploring Operation: 29*3=87, Resulting Numbers: [10, 87]
Generated Node #3: [10, 87] from Operation: 29*3=87
Current State: 77:[10, 87], Operations: ['57-47=10', '29*3=87']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
9,
48,
16,
3
] | 58 | [
"48-9=39",
"16+3=19",
"39+19=58"
] | Current State: 58:[9, 48, 16, 3], Operations: []
Exploring Operation: 48-9=39, Resulting Numbers: [16, 3, 39]
Generated Node #2: [16, 3, 39] from Operation: 48-9=39
Current State: 58:[16, 3, 39], Operations: ['48-9=39']
Exploring Operation: 16+3=19, Resulting Numbers: [39, 19]
Generated Node #3: [39, 19] from Operation: 16+3=19
Current State: 58:[39, 19], Operations: ['48-9=39', '16+3=19']
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
2,
68,
8,
35
] | 10 | [
"2+68=70",
"70/35=2",
"8+2=10"
] | Current State: 10:[2, 68, 8, 35], Operations: []
Exploring Operation: 2+68=70, Resulting Numbers: [8, 35, 70]
Generated Node #2: [8, 35, 70] from Operation: 2+68=70
Current State: 10:[8, 35, 70], Operations: ['2+68=70']
Exploring Operation: 70/35=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 70/35=2
Current State: 10:[8, 2], Operations: ['2+68=70', '70/35=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
32,
17,
7,
39
] | 70 | [
"32+17=49",
"49-39=10",
"7*10=70"
] | Current State: 70:[32, 17, 7, 39], Operations: []
Exploring Operation: 32+17=49, Resulting Numbers: [7, 39, 49]
Generated Node #2: [7, 39, 49] from Operation: 32+17=49
Current State: 70:[7, 39, 49], Operations: ['32+17=49']
Exploring Operation: 49-39=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 49-39=10
Current State: 70:[7, 10], Operations: ['32+17=49', '49-39=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
32,
74,
52,
2
] | 92 | [
"74-32=42",
"52-2=50",
"42+50=92"
] | Current State: 92:[32, 74, 52, 2], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [52, 2, 42]
Generated Node #2: [52, 2, 42] from Operation: 74-32=42
Current State: 92:[52, 2, 42], Operations: ['74-32=42']
Exploring Operation: 52-2=50, Resulting Numbers: [42, 50]
Generated Node #3: [42, 50] from Operation: 52-2=50
Current State: 92:[42, 50], Operations: ['74-32=42', '52-2=50']
Exploring Operation: 42+50=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
45,
50,
77,
13
] | 69 | [
"50-45=5",
"77-13=64",
"5+64=69"
] | Current State: 69:[45, 50, 77, 13], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [77, 13, 5]
Generated Node #2: [77, 13, 5] from Operation: 50-45=5
Current State: 69:[77, 13, 5], Operations: ['50-45=5']
Exploring Operation: 77-13=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 77-13=64
Current State: 69:[5, 64], Operations: ['50-45=5', '77-13=64']
Exploring Operation: 5+64=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
40,
36,
87,
12
] | 33 | [
"40*36=1440",
"1440/12=120",
"120-87=33"
] | Current State: 33:[40, 36, 87, 12], Operations: []
Exploring Operation: 40*36=1440, Resulting Numbers: [87, 12, 1440]
Generated Node #2: [87, 12, 1440] from Operation: 40*36=1440
Current State: 33:[87, 12, 1440], Operations: ['40*36=1440']
Exploring Operation: 1440/12=120, Resulting Numbers: [87, 120]
Generated Node #3: [87, 120] from Operation: 1440/12=120
Current State: 33:[87, 120], Operations: ['40*36=1440', '1440/12=120']
Exploring Operation: 120-87=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
38,
19,
82,
5
] | 46 | [
"38/19=2",
"82/2=41",
"5+41=46"
] | Current State: 46:[38, 19, 82, 5], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [82, 5, 2]
Generated Node #2: [82, 5, 2] from Operation: 38/19=2
Current State: 46:[82, 5, 2], Operations: ['38/19=2']
Exploring Operation: 82/2=41, Resulting Numbers: [5, 41]
Generated Node #3: [5, 41] from Operation: 82/2=41
Current State: 46:[5, 41], Operations: ['38/19=2', '82/2=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
88,
49,
81,
31
] | 25 | [
"88+49=137",
"81+31=112",
"137-112=25"
] | Current State: 25:[88, 49, 81, 31], Operations: []
Exploring Operation: 88+49=137, Resulting Numbers: [81, 31, 137]
Generated Node #2: [81, 31, 137] from Operation: 88+49=137
Current State: 25:[81, 31, 137], Operations: ['88+49=137']
Exploring Operation: 81+31=112, Resulting Numbers: [137, 112]
Generated Node #3: [137, 112] from Operation: 81+31=112
Current State: 25:[137, 112], Operations: ['88+49=137', '81+31=112']
Exploring Operation: 137-112=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
4,
88,
62,
2
] | 25 | [
"4+2=6",
"88+62=150",
"150/6=25"
] | Current State: 25:[4, 88, 62, 2], Operations: []
Exploring Operation: 4+2=6, Resulting Numbers: [88, 62, 6]
Generated Node #2: [88, 62, 6] from Operation: 4+2=6
Current State: 25:[88, 62, 6], Operations: ['4+2=6']
Exploring Operation: 88+62=150, Resulting Numbers: [6, 150]
Generated Node #3: [6, 150] from Operation: 88+62=150
Current State: 25:[6, 150], Operations: ['4+2=6', '88+62=150']
Exploring Operation: 150/6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
58,
17,
6,
12
] | 93 | [
"58+17=75",
"6+12=18",
"75+18=93"
] | Current State: 93:[58, 17, 6, 12], Operations: []
Exploring Operation: 58+17=75, Resulting Numbers: [6, 12, 75]
Generated Node #2: [6, 12, 75] from Operation: 58+17=75
Current State: 93:[6, 12, 75], Operations: ['58+17=75']
Exploring Operation: 6+12=18, Resulting Numbers: [75, 18]
Generated Node #3: [75, 18] from Operation: 6+12=18
Current State: 93:[75, 18], Operations: ['58+17=75', '6+12=18']
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
65,
2,
57,
3
] | 67 | [
"65-3=62",
"2*62=124",
"124-57=67"
] | Current State: 67:[65, 2, 57, 3], Operations: []
Exploring Operation: 65-3=62, Resulting Numbers: [2, 57, 62]
Generated Node #2: [2, 57, 62] from Operation: 65-3=62
Current State: 67:[2, 57, 62], Operations: ['65-3=62']
Exploring Operation: 2*62=124, Resulting Numbers: [57, 124]
Generated Node #3: [57, 124] from Operation: 2*62=124
Current State: 67:[57, 124], Operations: ['65-3=62', '2*62=124']
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
68,
29,
64,
37
] | 62 | [
"68-29=39",
"64+37=101",
"101-39=62"
] | Current State: 62:[68, 29, 64, 37], Operations: []
Exploring Operation: 68-29=39, Resulting Numbers: [64, 37, 39]
Generated Node #2: [64, 37, 39] from Operation: 68-29=39
Current State: 62:[64, 37, 39], Operations: ['68-29=39']
Exploring Operation: 64+37=101, Resulting Numbers: [39, 101]
Generated Node #3: [39, 101] from Operation: 64+37=101
Current State: 62:[39, 101], Operations: ['68-29=39', '64+37=101']
Exploring Operation: 101-39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
97,
4,
4,
73
] | 10 | [
"97-73=24",
"24/4=6",
"4+6=10"
] | Current State: 10:[97, 4, 4, 73], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [4, 4, 24]
Generated Node #2: [4, 4, 24] from Operation: 97-73=24
Current State: 10:[4, 4, 24], Operations: ['97-73=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,10 equal: Goal Reached
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
49,
5,
87
] | 36 | [
"7+49=56",
"5+87=92",
"92-56=36"
] | Current State: 36:[7, 49, 5, 87], Operations: []
Exploring Operation: 7+49=56, Resulting Numbers: [5, 87, 56]
Generated Node #2: [5, 87, 56] from Operation: 7+49=56
Current State: 36:[5, 87, 56], Operations: ['7+49=56']
Exploring Operation: 5+87=92, Resulting Numbers: [56, 92]
Generated Node #3: [56, 92] from Operation: 5+87=92
Current State: 36:[56, 92], Operations: ['7+49=56', '5+87=92']
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
96,
43,
83,
65
] | 95 | [
"96-43=53",
"83+65=148",
"148-53=95"
] | Current State: 95:[96, 43, 83, 65], Operations: []
Exploring Operation: 96-43=53, Resulting Numbers: [83, 65, 53]
Generated Node #2: [83, 65, 53] from Operation: 96-43=53
Current State: 95:[83, 65, 53], Operations: ['96-43=53']
Exploring Operation: 83+65=148, Resulting Numbers: [53, 148]
Generated Node #3: [53, 148] from Operation: 83+65=148
Current State: 95:[53, 148], Operations: ['96-43=53', '83+65=148']
Exploring Operation: 148-53=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
30,
73,
59,
28
] | 72 | [
"30+73=103",
"59-28=31",
"103-31=72"
] | Current State: 72:[30, 73, 59, 28], Operations: []
Exploring Operation: 30+73=103, Resulting Numbers: [59, 28, 103]
Generated Node #2: [59, 28, 103] from Operation: 30+73=103
Current State: 72:[59, 28, 103], Operations: ['30+73=103']
Exploring Operation: 59-28=31, Resulting Numbers: [103, 31]
Generated Node #3: [103, 31] from Operation: 59-28=31
Current State: 72:[103, 31], Operations: ['30+73=103', '59-28=31']
Exploring Operation: 103-31=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
67,
63,
9,
75
] | 70 | [
"67-63=4",
"75-9=66",
"4+66=70"
] | Current State: 70:[67, 63, 9, 75], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [9, 75, 4]
Generated Node #2: [9, 75, 4] from Operation: 67-63=4
Current State: 70:[9, 75, 4], Operations: ['67-63=4']
Exploring Operation: 75-9=66, Resulting Numbers: [4, 66]
Generated Node #3: [4, 66] from Operation: 75-9=66
Current State: 70:[4, 66], Operations: ['67-63=4', '75-9=66']
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
38,
41,
32,
9
] | 26 | [
"41-38=3",
"32-9=23",
"3+23=26"
] | Current State: 26:[38, 41, 32, 9], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [32, 9, 3]
Generated Node #2: [32, 9, 3] from Operation: 41-38=3
Current State: 26:[32, 9, 3], Operations: ['41-38=3']
Exploring Operation: 32-9=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 32-9=23
Current State: 26:[3, 23], Operations: ['41-38=3', '32-9=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
92,
87,
12,
44
] | 91 | [
"92-44=48",
"48/12=4",
"87+4=91"
] | Current State: 91:[92, 87, 12, 44], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [87, 12, 48]
Generated Node #2: [87, 12, 48] from Operation: 92-44=48
Current State: 91:[87, 12, 48], Operations: ['92-44=48']
Exploring Operation: 48/12=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 48/12=4
Current State: 91:[87, 4], Operations: ['92-44=48', '48/12=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
81,
3,
15,
79
] | 47 | [
"81+15=96",
"96/3=32",
"79-32=47"
] | Current State: 47:[81, 3, 15, 79], Operations: []
Exploring Operation: 81+15=96, Resulting Numbers: [3, 79, 96]
Generated Node #2: [3, 79, 96] from Operation: 81+15=96
Current State: 47:[3, 79, 96], Operations: ['81+15=96']
Exploring Operation: 96/3=32, Resulting Numbers: [79, 32]
Generated Node #3: [79, 32] from Operation: 96/3=32
Current State: 47:[79, 32], Operations: ['81+15=96', '96/3=32']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
3,
30,
25,
33
] | 41 | [
"3+30=33",
"33-25=8",
"33+8=41"
] | Current State: 41:[3, 30, 25, 33], Operations: []
Exploring Operation: 3+30=33, Resulting Numbers: [25, 33, 33]
Generated Node #2: [25, 33, 33] from Operation: 3+30=33
Current State: 41:[25, 33, 33], Operations: ['3+30=33']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,41 equal: Goal Reached
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
7,
81,
28,
71
] | 42 | [
"81-71=10",
"7*10=70",
"70-28=42"
] | Current State: 42:[7, 81, 28, 71], Operations: []
Exploring Operation: 81-71=10, Resulting Numbers: [7, 28, 10]
Generated Node #2: [7, 28, 10] from Operation: 81-71=10
Current State: 42:[7, 28, 10], Operations: ['81-71=10']
Exploring Operation: 7*10=70, Resulting Numbers: [28, 70]
Generated Node #3: [28, 70] from Operation: 7*10=70
Current State: 42:[28, 70], Operations: ['81-71=10', '7*10=70']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
37,
56,
51,
64
] | 16 | [
"51-37=14",
"56/14=4",
"64/4=16"
] | Current State: 16:[37, 56, 51, 64], Operations: []
Exploring Operation: 51-37=14, Resulting Numbers: [56, 64, 14]
Generated Node #2: [56, 64, 14] from Operation: 51-37=14
Current State: 16:[56, 64, 14], Operations: ['51-37=14']
Exploring Operation: 56/14=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 56/14=4
Current State: 16:[64, 4], Operations: ['51-37=14', '56/14=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
75,
95,
98,
21
] | 98 | [
"95-75=20",
"21-20=1",
"98*1=98"
] | Current State: 98:[75, 95, 98, 21], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [98, 21, 20]
Generated Node #2: [98, 21, 20] from Operation: 95-75=20
Current State: 98:[98, 21, 20], Operations: ['95-75=20']
Exploring Operation: 21-20=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 21-20=1
Current State: 98:[98, 1], Operations: ['95-75=20', '21-20=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
84,
42,
16,
1
] | 31 | [
"84/42=2",
"16*2=32",
"32-1=31"
] | Current State: 31:[84, 42, 16, 1], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [16, 1, 2]
Generated Node #2: [16, 1, 2] from Operation: 84/42=2
Current State: 31:[16, 1, 2], Operations: ['84/42=2']
Exploring Operation: 16*2=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 16*2=32
Current State: 31:[1, 32], Operations: ['84/42=2', '16*2=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
76,
29,
94,
72
] | 36 | [
"76-29=47",
"94/47=2",
"72/2=36"
] | Current State: 36:[76, 29, 94, 72], Operations: []
Exploring Operation: 76-29=47, Resulting Numbers: [94, 72, 47]
Generated Node #2: [94, 72, 47] from Operation: 76-29=47
Current State: 36:[94, 72, 47], Operations: ['76-29=47']
Exploring Operation: 94/47=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 94/47=2
Current State: 36:[72, 2], Operations: ['76-29=47', '94/47=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
61,
40,
59,
21
] | 18 | [
"61+59=120",
"120/40=3",
"21-3=18"
] | Current State: 18:[61, 40, 59, 21], Operations: []
Exploring Operation: 61+59=120, Resulting Numbers: [40, 21, 120]
Generated Node #2: [40, 21, 120] from Operation: 61+59=120
Current State: 18:[40, 21, 120], Operations: ['61+59=120']
Exploring Operation: 120/40=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 120/40=3
Current State: 18:[21, 3], Operations: ['61+59=120', '120/40=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
88,
78,
91,
78
] | 91 | [
"78-78=0",
"88*0=0",
"91+0=91"
] | Current State: 91:[88, 78, 91, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [88, 91, 0]
Generated Node #2: [88, 91, 0] from Operation: 78-78=0
Current State: 91:[88, 91, 0], Operations: ['78-78=0']
Exploring Operation: 88*0=0, Resulting Numbers: [91, 0]
Generated Node #3: [91, 0] from Operation: 88*0=0
Current State: 91:[91, 0], Operations: ['78-78=0', '88*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
26,
31,
11,
94
] | 88 | [
"31-26=5",
"94-11=83",
"5+83=88"
] | Current State: 88:[26, 31, 11, 94], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [11, 94, 5]
Generated Node #2: [11, 94, 5] from Operation: 31-26=5
Current State: 88:[11, 94, 5], Operations: ['31-26=5']
Exploring Operation: 94-11=83, Resulting Numbers: [5, 83]
Generated Node #3: [5, 83] from Operation: 94-11=83
Current State: 88:[5, 83], Operations: ['31-26=5', '94-11=83']
Exploring Operation: 5+83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
38,
85,
61,
5
] | 57 | [
"38+85=123",
"61+5=66",
"123-66=57"
] | Current State: 57:[38, 85, 61, 5], Operations: []
Exploring Operation: 38+85=123, Resulting Numbers: [61, 5, 123]
Generated Node #2: [61, 5, 123] from Operation: 38+85=123
Current State: 57:[61, 5, 123], Operations: ['38+85=123']
Exploring Operation: 61+5=66, Resulting Numbers: [123, 66]
Generated Node #3: [123, 66] from Operation: 61+5=66
Current State: 57:[123, 66], Operations: ['38+85=123', '61+5=66']
Exploring Operation: 123-66=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
30,
50,
6,
28
] | 19 | [
"30-28=2",
"50/2=25",
"25-6=19"
] | Current State: 19:[30, 50, 6, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [50, 6, 2]
Generated Node #2: [50, 6, 2] from Operation: 30-28=2
Current State: 19:[50, 6, 2], Operations: ['30-28=2']
Exploring Operation: 50/2=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 50/2=25
Current State: 19:[6, 25], Operations: ['30-28=2', '50/2=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
5,
49,
43,
78
] | 77 | [
"49-5=44",
"43+78=121",
"121-44=77"
] | Current State: 77:[5, 49, 43, 78], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [43, 78, 44]
Generated Node #2: [43, 78, 44] from Operation: 49-5=44
Current State: 77:[43, 78, 44], Operations: ['49-5=44']
Exploring Operation: 43+78=121, Resulting Numbers: [44, 121]
Generated Node #3: [44, 121] from Operation: 43+78=121
Current State: 77:[44, 121], Operations: ['49-5=44', '43+78=121']
Exploring Operation: 121-44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
26,
28,
2
] | 30 | [
"26/2=13",
"28-13=15",
"2*15=30"
] | Current State: 30:[2, 26, 28, 2], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [28, 13]
Generated Node #2: [28, 13] from Operation: 26/2=13
Current State: 30:[28, 13], Operations: ['26/2=13']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,30 equal: Goal Reached
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
79,
13,
34,
82
] | 89 | [
"82-79=3",
"34*3=102",
"102-13=89"
] | Current State: 89:[79, 13, 34, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [13, 34, 3]
Generated Node #2: [13, 34, 3] from Operation: 82-79=3
Current State: 89:[13, 34, 3], Operations: ['82-79=3']
Exploring Operation: 34*3=102, Resulting Numbers: [13, 102]
Generated Node #3: [13, 102] from Operation: 34*3=102
Current State: 89:[13, 102], Operations: ['82-79=3', '34*3=102']
Exploring Operation: 102-13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
51,
7,
4,
11
] | 49 | [
"4*11=44",
"51-44=7",
"7*7=49"
] | Current State: 49:[51, 7, 4, 11], Operations: []
Exploring Operation: 4*11=44, Resulting Numbers: [51, 7, 44]
Generated Node #2: [51, 7, 44] from Operation: 4*11=44
Current State: 49:[51, 7, 44], Operations: ['4*11=44']
Exploring Operation: 51-44=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 51-44=7
Current State: 49:[7, 7], Operations: ['4*11=44', '51-44=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
18,
74,
27,
56
] | 10 | [
"18*27=486",
"74+486=560",
"560/56=10"
] | Current State: 10:[18, 74, 27, 56], Operations: []
Exploring Operation: 18*27=486, Resulting Numbers: [74, 56, 486]
Generated Node #2: [74, 56, 486] from Operation: 18*27=486
Current State: 10:[74, 56, 486], Operations: ['18*27=486']
Exploring Operation: 74+486=560, Resulting Numbers: [56, 560]
Generated Node #3: [56, 560] from Operation: 74+486=560
Current State: 10:[56, 560], Operations: ['18*27=486', '74+486=560']
Exploring Operation: 560/56=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
9,
40,
20,
74
] | 46 | [
"40/20=2",
"74/2=37",
"9+37=46"
] | Current State: 46:[9, 40, 20, 74], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [9, 74, 2]
Generated Node #2: [9, 74, 2] from Operation: 40/20=2
Current State: 46:[9, 74, 2], Operations: ['40/20=2']
Exploring Operation: 74/2=37, Resulting Numbers: [9, 37]
Generated Node #3: [9, 37] from Operation: 74/2=37
Current State: 46:[9, 37], Operations: ['40/20=2', '74/2=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
17,
79,
6,
22
] | 45 | [
"17*6=102",
"79-22=57",
"102-57=45"
] | Current State: 45:[17, 79, 6, 22], Operations: []
Exploring Operation: 17*6=102, Resulting Numbers: [79, 22, 102]
Generated Node #2: [79, 22, 102] from Operation: 17*6=102
Current State: 45:[79, 22, 102], Operations: ['17*6=102']
Exploring Operation: 79-22=57, Resulting Numbers: [102, 57]
Generated Node #3: [102, 57] from Operation: 79-22=57
Current State: 45:[102, 57], Operations: ['17*6=102', '79-22=57']
Exploring Operation: 102-57=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
24,
11,
6
] | 83 | [
"24/2=12",
"6*12=72",
"11+72=83"
] | Current State: 83:[2, 24, 11, 6], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [11, 6, 12]
Generated Node #2: [11, 6, 12] from Operation: 24/2=12
Current State: 83:[11, 6, 12], Operations: ['24/2=12']
Exploring Operation: 6*12=72, Resulting Numbers: [11, 72]
Generated Node #3: [11, 72] from Operation: 6*12=72
Current State: 83:[11, 72], Operations: ['24/2=12', '6*12=72']
Exploring Operation: 11+72=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
34,
5,
34,
5
] | 30 | [
"34/34=1",
"5+1=6",
"5*6=30"
] | Current State: 30:[34, 5, 34, 5], Operations: []
Exploring Operation: 34/34=1, Resulting Numbers: [5, 5, 1]
Generated Node #2: [5, 5, 1] from Operation: 34/34=1
Current State: 30:[5, 5, 1], Operations: ['34/34=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,30 equal: Goal Reached
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
9,
10,
68,
78
] | 10 | [
"10-9=1",
"78-68=10",
"1*10=10"
] | Current State: 10:[9, 10, 68, 78], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [68, 78, 1]
Generated Node #2: [68, 78, 1] from Operation: 10-9=1
Current State: 10:[68, 78, 1], Operations: ['10-9=1']
Exploring Operation: 78-68=10, Resulting Numbers: [1, 10]
Generated Node #3: [1, 10] from Operation: 78-68=10
Current State: 10:[1, 10], Operations: ['10-9=1', '78-68=10']
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
94,
80,
21,
37
] | 72 | [
"94-80=14",
"21+37=58",
"14+58=72"
] | Current State: 72:[94, 80, 21, 37], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [21, 37, 14]
Generated Node #2: [21, 37, 14] from Operation: 94-80=14
Current State: 72:[21, 37, 14], Operations: ['94-80=14']
Exploring Operation: 21+37=58, Resulting Numbers: [14, 58]
Generated Node #3: [14, 58] from Operation: 21+37=58
Current State: 72:[14, 58], Operations: ['94-80=14', '21+37=58']
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
85,
40,
55,
90
] | 63 | [
"90-85=5",
"40/5=8",
"55+8=63"
] | Current State: 63:[85, 40, 55, 90], Operations: []
Exploring Operation: 90-85=5, Resulting Numbers: [40, 55, 5]
Generated Node #2: [40, 55, 5] from Operation: 90-85=5
Current State: 63:[40, 55, 5], Operations: ['90-85=5']
Exploring Operation: 40/5=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 40/5=8
Current State: 63:[55, 8], Operations: ['90-85=5', '40/5=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
62,
85,
37,
50
] | 64 | [
"85-62=23",
"37+50=87",
"87-23=64"
] | Current State: 64:[62, 85, 37, 50], Operations: []
Exploring Operation: 85-62=23, Resulting Numbers: [37, 50, 23]
Generated Node #2: [37, 50, 23] from Operation: 85-62=23
Current State: 64:[37, 50, 23], Operations: ['85-62=23']
Exploring Operation: 37+50=87, Resulting Numbers: [23, 87]
Generated Node #3: [23, 87] from Operation: 37+50=87
Current State: 64:[23, 87], Operations: ['85-62=23', '37+50=87']
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
2,
61,
69
] | 79 | [
"69-33=36",
"36/2=18",
"61+18=79"
] | Current State: 79:[33, 2, 61, 69], Operations: []
Exploring Operation: 69-33=36, Resulting Numbers: [2, 61, 36]
Generated Node #2: [2, 61, 36] from Operation: 69-33=36
Current State: 79:[2, 61, 36], Operations: ['69-33=36']
Exploring Operation: 36/2=18, Resulting Numbers: [61, 18]
Generated Node #3: [61, 18] from Operation: 36/2=18
Current State: 79:[61, 18], Operations: ['69-33=36', '36/2=18']
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
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