nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
1,
5,
29,
79
] | 11 | [
"79-29=50",
"50/5=10",
"1+10=11"
] | Current State: 11:[1, 5, 29, 79], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [1, 5, 50]
Generated Node #2: [1, 5, 50] from Operation: 79-29=50
Current State: 11:[1, 5, 50], Operations: ['79-29=50']
Exploring Operation: 50/5=10, Resulting Numbers: [1, 10]
Generated Node #3: [1, 10] from Operation: 50/5=10
Current State: 11:[1, 10], Operations: ['79-29=50', '50/5=10']
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
8,
85,
6,
79
] | 28 | [
"85-79=6",
"6*6=36",
"36-8=28"
] | Current State: 28:[8, 85, 6, 79], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [8, 6, 6]
Generated Node #2: [8, 6, 6] from Operation: 85-79=6
Current State: 28:[8, 6, 6], Operations: ['85-79=6']
Exploring Operation: 6*6=36, Resulting Numbers: [8, 36]
Generated Node #3: [8, 36] from Operation: 6*6=36
Current State: 28:[8, 36], Operations: ['85-79=6', '6*6=36']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
38,
4,
15,
71
] | 24 | [
"71-15=56",
"56/4=14",
"38-14=24"
] | Current State: 24:[38, 4, 15, 71], Operations: []
Exploring Operation: 71-15=56, Resulting Numbers: [38, 4, 56]
Generated Node #2: [38, 4, 56] from Operation: 71-15=56
Current State: 24:[38, 4, 56], Operations: ['71-15=56']
Exploring Operation: 56/4=14, Resulting Numbers: [38, 14]
Generated Node #3: [38, 14] from Operation: 56/4=14
Current State: 24:[38, 14], Operations: ['71-15=56', '56/4=14']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
21,
99,
54,
40
] | 64 | [
"99-21=78",
"54-40=14",
"78-14=64"
] | Current State: 64:[21, 99, 54, 40], Operations: []
Exploring Operation: 99-21=78, Resulting Numbers: [54, 40, 78]
Generated Node #2: [54, 40, 78] from Operation: 99-21=78
Current State: 64:[54, 40, 78], Operations: ['99-21=78']
Exploring Operation: 54-40=14, Resulting Numbers: [78, 14]
Generated Node #3: [78, 14] from Operation: 54-40=14
Current State: 64:[78, 14], Operations: ['99-21=78', '54-40=14']
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
62,
33,
56,
60
] | 99 | [
"62+33=95",
"60-56=4",
"95+4=99"
] | Current State: 99:[62, 33, 56, 60], Operations: []
Exploring Operation: 62+33=95, Resulting Numbers: [56, 60, 95]
Generated Node #2: [56, 60, 95] from Operation: 62+33=95
Current State: 99:[56, 60, 95], Operations: ['62+33=95']
Exploring Operation: 60-56=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 60-56=4
Current State: 99:[95, 4], Operations: ['62+33=95', '60-56=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
79,
29,
76,
10
] | 75 | [
"29-10=19",
"76/19=4",
"79-4=75"
] | Current State: 75:[79, 29, 76, 10], Operations: []
Exploring Operation: 29-10=19, Resulting Numbers: [79, 76, 19]
Generated Node #2: [79, 76, 19] from Operation: 29-10=19
Current State: 75:[79, 76, 19], Operations: ['29-10=19']
Exploring Operation: 76/19=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 76/19=4
Current State: 75:[79, 4], Operations: ['29-10=19', '76/19=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
48,
15,
40,
3
] | 89 | [
"48*3=144",
"15+40=55",
"144-55=89"
] | Current State: 89:[48, 15, 40, 3], Operations: []
Exploring Operation: 48*3=144, Resulting Numbers: [15, 40, 144]
Generated Node #2: [15, 40, 144] from Operation: 48*3=144
Current State: 89:[15, 40, 144], Operations: ['48*3=144']
Exploring Operation: 15+40=55, Resulting Numbers: [144, 55]
Generated Node #3: [144, 55] from Operation: 15+40=55
Current State: 89:[144, 55], Operations: ['48*3=144', '15+40=55']
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
58,
26,
78,
55
] | 61 | [
"58+26=84",
"78-55=23",
"84-23=61"
] | Current State: 61:[58, 26, 78, 55], Operations: []
Exploring Operation: 58+26=84, Resulting Numbers: [78, 55, 84]
Generated Node #2: [78, 55, 84] from Operation: 58+26=84
Current State: 61:[78, 55, 84], Operations: ['58+26=84']
Exploring Operation: 78-55=23, Resulting Numbers: [84, 23]
Generated Node #3: [84, 23] from Operation: 78-55=23
Current State: 61:[84, 23], Operations: ['58+26=84', '78-55=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
6,
45,
53,
60
] | 88 | [
"60/6=10",
"45+53=98",
"98-10=88"
] | Current State: 88:[6, 45, 53, 60], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [45, 53, 10]
Generated Node #2: [45, 53, 10] from Operation: 60/6=10
Current State: 88:[45, 53, 10], Operations: ['60/6=10']
Exploring Operation: 45+53=98, Resulting Numbers: [10, 98]
Generated Node #3: [10, 98] from Operation: 45+53=98
Current State: 88:[10, 98], Operations: ['60/6=10', '45+53=98']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
15,
78,
7,
8
] | 37 | [
"15+78=93",
"7*8=56",
"93-56=37"
] | Current State: 37:[15, 78, 7, 8], Operations: []
Exploring Operation: 15+78=93, Resulting Numbers: [7, 8, 93]
Generated Node #2: [7, 8, 93] from Operation: 15+78=93
Current State: 37:[7, 8, 93], Operations: ['15+78=93']
Exploring Operation: 7*8=56, Resulting Numbers: [93, 56]
Generated Node #3: [93, 56] from Operation: 7*8=56
Current State: 37:[93, 56], Operations: ['15+78=93', '7*8=56']
Exploring Operation: 93-56=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
65,
71,
84,
20
] | 58 | [
"71-65=6",
"84-20=64",
"64-6=58"
] | Current State: 58:[65, 71, 84, 20], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [84, 20, 6]
Generated Node #2: [84, 20, 6] from Operation: 71-65=6
Current State: 58:[84, 20, 6], Operations: ['71-65=6']
Exploring Operation: 84-20=64, Resulting Numbers: [6, 64]
Generated Node #3: [6, 64] from Operation: 84-20=64
Current State: 58:[6, 64], Operations: ['71-65=6', '84-20=64']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
30,
84,
22,
60
] | 73 | [
"30*22=660",
"660/60=11",
"84-11=73"
] | Current State: 73:[30, 84, 22, 60], Operations: []
Exploring Operation: 30*22=660, Resulting Numbers: [84, 60, 660]
Generated Node #2: [84, 60, 660] from Operation: 30*22=660
Current State: 73:[84, 60, 660], Operations: ['30*22=660']
Exploring Operation: 660/60=11, Resulting Numbers: [84, 11]
Generated Node #3: [84, 11] from Operation: 660/60=11
Current State: 73:[84, 11], Operations: ['30*22=660', '660/60=11']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
11,
62,
5,
10
] | 49 | [
"62-11=51",
"10/5=2",
"51-2=49"
] | Current State: 49:[11, 62, 5, 10], Operations: []
Exploring Operation: 62-11=51, Resulting Numbers: [5, 10, 51]
Generated Node #2: [5, 10, 51] from Operation: 62-11=51
Current State: 49:[5, 10, 51], Operations: ['62-11=51']
Exploring Operation: 10/5=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 10/5=2
Current State: 49:[51, 2], Operations: ['62-11=51', '10/5=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
30,
80,
84,
28
] | 10 | [
"30*84=2520",
"2520/28=90",
"90-80=10"
] | Current State: 10:[30, 80, 84, 28], Operations: []
Exploring Operation: 30*84=2520, Resulting Numbers: [80, 28, 2520]
Generated Node #2: [80, 28, 2520] from Operation: 30*84=2520
Current State: 10:[80, 28, 2520], Operations: ['30*84=2520']
Exploring Operation: 2520/28=90, Resulting Numbers: [80, 90]
Generated Node #3: [80, 90] from Operation: 2520/28=90
Current State: 10:[80, 90], Operations: ['30*84=2520', '2520/28=90']
Exploring Operation: 90-80=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
43,
99,
13
] | 92 | [
"43+13=56",
"56/8=7",
"99-7=92"
] | Current State: 92:[8, 43, 99, 13], Operations: []
Exploring Operation: 43+13=56, Resulting Numbers: [8, 99, 56]
Generated Node #2: [8, 99, 56] from Operation: 43+13=56
Current State: 92:[8, 99, 56], Operations: ['43+13=56']
Exploring Operation: 56/8=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 56/8=7
Current State: 92:[99, 7], Operations: ['43+13=56', '56/8=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
69,
55,
21,
96
] | 53 | [
"69-21=48",
"96/48=2",
"55-2=53"
] | Current State: 53:[69, 55, 21, 96], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [55, 96, 48]
Generated Node #2: [55, 96, 48] from Operation: 69-21=48
Current State: 53:[55, 96, 48], Operations: ['69-21=48']
Exploring Operation: 96/48=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 96/48=2
Current State: 53:[55, 2], Operations: ['69-21=48', '96/48=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
83,
22,
18,
87
] | 99 | [
"87-83=4",
"22*18=396",
"396/4=99"
] | Current State: 99:[83, 22, 18, 87], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [22, 18, 4]
Generated Node #2: [22, 18, 4] from Operation: 87-83=4
Current State: 99:[22, 18, 4], Operations: ['87-83=4']
Exploring Operation: 22*18=396, Resulting Numbers: [4, 396]
Generated Node #3: [4, 396] from Operation: 22*18=396
Current State: 99:[4, 396], Operations: ['87-83=4', '22*18=396']
Exploring Operation: 396/4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
50,
5,
50,
70
] | 90 | [
"50+50=100",
"100/5=20",
"70+20=90"
] | Current State: 90:[50, 5, 50, 70], Operations: []
Exploring Operation: 50+50=100, Resulting Numbers: [5, 70, 100]
Generated Node #2: [5, 70, 100] from Operation: 50+50=100
Current State: 90:[5, 70, 100], Operations: ['50+50=100']
Exploring Operation: 100/5=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 100/5=20
Current State: 90:[70, 20], Operations: ['50+50=100', '100/5=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
49,
73,
77,
23
] | 52 | [
"49*77=3773",
"23+3773=3796",
"3796/73=52"
] | Current State: 52:[49, 73, 77, 23], Operations: []
Exploring Operation: 49*77=3773, Resulting Numbers: [73, 23, 3773]
Generated Node #2: [73, 23, 3773] from Operation: 49*77=3773
Current State: 52:[73, 23, 3773], Operations: ['49*77=3773']
Exploring Operation: 23+3773=3796, Resulting Numbers: [73, 3796]
Generated Node #3: [73, 3796] from Operation: 23+3773=3796
Current State: 52:[73, 3796], Operations: ['49*77=3773', '23+3773=3796']
Exploring Operation: 3796/73=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
29,
63,
37,
17
] | 38 | [
"29+63=92",
"37+17=54",
"92-54=38"
] | Current State: 38:[29, 63, 37, 17], Operations: []
Exploring Operation: 29+63=92, Resulting Numbers: [37, 17, 92]
Generated Node #2: [37, 17, 92] from Operation: 29+63=92
Current State: 38:[37, 17, 92], Operations: ['29+63=92']
Exploring Operation: 37+17=54, Resulting Numbers: [92, 54]
Generated Node #3: [92, 54] from Operation: 37+17=54
Current State: 38:[92, 54], Operations: ['29+63=92', '37+17=54']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
21,
27,
46,
46
] | 23 | [
"21+27=48",
"48-46=2",
"46/2=23"
] | Current State: 23:[21, 27, 46, 46], Operations: []
Exploring Operation: 21+27=48, Resulting Numbers: [46, 46, 48]
Generated Node #2: [46, 46, 48] from Operation: 21+27=48
Current State: 23:[46, 46, 48], Operations: ['21+27=48']
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,23 equal: Goal Reached
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
8,
9,
64,
58
] | 11 | [
"8+9=17",
"64-58=6",
"17-6=11"
] | Current State: 11:[8, 9, 64, 58], Operations: []
Exploring Operation: 8+9=17, Resulting Numbers: [64, 58, 17]
Generated Node #2: [64, 58, 17] from Operation: 8+9=17
Current State: 11:[64, 58, 17], Operations: ['8+9=17']
Exploring Operation: 64-58=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 64-58=6
Current State: 11:[17, 6], Operations: ['8+9=17', '64-58=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
93,
36,
15,
15
] | 57 | [
"93-36=57",
"15-15=0",
"57+0=57"
] | Current State: 57:[93, 36, 15, 15], Operations: []
Exploring Operation: 93-36=57, Resulting Numbers: [15, 15, 57]
Generated Node #2: [15, 15, 57] from Operation: 93-36=57
Current State: 57:[15, 15, 57], Operations: ['93-36=57']
Exploring Operation: 15-15=0, Resulting Numbers: [57, 0]
Generated Node #3: [57, 0] from Operation: 15-15=0
Current State: 57:[57, 0], Operations: ['93-36=57', '15-15=0']
Exploring Operation: 57+0=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
28,
80,
18,
34
] | 19 | [
"18*34=612",
"612-80=532",
"532/28=19"
] | Current State: 19:[28, 80, 18, 34], Operations: []
Exploring Operation: 18*34=612, Resulting Numbers: [28, 80, 612]
Generated Node #2: [28, 80, 612] from Operation: 18*34=612
Current State: 19:[28, 80, 612], Operations: ['18*34=612']
Exploring Operation: 612-80=532, Resulting Numbers: [28, 532]
Generated Node #3: [28, 532] from Operation: 612-80=532
Current State: 19:[28, 532], Operations: ['18*34=612', '612-80=532']
Exploring Operation: 532/28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
95,
17,
63,
9
] | 24 | [
"95-17=78",
"63-9=54",
"78-54=24"
] | Current State: 24:[95, 17, 63, 9], Operations: []
Exploring Operation: 95-17=78, Resulting Numbers: [63, 9, 78]
Generated Node #2: [63, 9, 78] from Operation: 95-17=78
Current State: 24:[63, 9, 78], Operations: ['95-17=78']
Exploring Operation: 63-9=54, Resulting Numbers: [78, 54]
Generated Node #3: [78, 54] from Operation: 63-9=54
Current State: 24:[78, 54], Operations: ['95-17=78', '63-9=54']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
74,
15,
25,
16
] | 80 | [
"74+15=89",
"25-16=9",
"89-9=80"
] | Current State: 80:[74, 15, 25, 16], Operations: []
Exploring Operation: 74+15=89, Resulting Numbers: [25, 16, 89]
Generated Node #2: [25, 16, 89] from Operation: 74+15=89
Current State: 80:[25, 16, 89], Operations: ['74+15=89']
Exploring Operation: 25-16=9, Resulting Numbers: [89, 9]
Generated Node #3: [89, 9] from Operation: 25-16=9
Current State: 80:[89, 9], Operations: ['74+15=89', '25-16=9']
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
41,
97,
4,
37
] | 97 | [
"41+97=138",
"4+37=41",
"138-41=97"
] | Current State: 97:[41, 97, 4, 37], Operations: []
Exploring Operation: 41+97=138, Resulting Numbers: [4, 37, 138]
Generated Node #2: [4, 37, 138] from Operation: 41+97=138
Current State: 97:[4, 37, 138], Operations: ['41+97=138']
Exploring Operation: 4+37=41, Resulting Numbers: [138, 41]
Generated Node #3: [138, 41] from Operation: 4+37=41
Current State: 97:[138, 41], Operations: ['41+97=138', '4+37=41']
Exploring Operation: 138-41=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
75,
32,
6,
2
] | 40 | [
"75-32=43",
"6/2=3",
"43-3=40"
] | Current State: 40:[75, 32, 6, 2], Operations: []
Exploring Operation: 75-32=43, Resulting Numbers: [6, 2, 43]
Generated Node #2: [6, 2, 43] from Operation: 75-32=43
Current State: 40:[6, 2, 43], Operations: ['75-32=43']
Exploring Operation: 6/2=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 6/2=3
Current State: 40:[43, 3], Operations: ['75-32=43', '6/2=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
16,
50,
64,
17
] | 18 | [
"64/16=4",
"17*4=68",
"68-50=18"
] | Current State: 18:[16, 50, 64, 17], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [50, 17, 4]
Generated Node #2: [50, 17, 4] from Operation: 64/16=4
Current State: 18:[50, 17, 4], Operations: ['64/16=4']
Exploring Operation: 17*4=68, Resulting Numbers: [50, 68]
Generated Node #3: [50, 68] from Operation: 17*4=68
Current State: 18:[50, 68], Operations: ['64/16=4', '17*4=68']
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
7,
94,
78
] | 12 | [
"7-3=4",
"94-78=16",
"16-4=12"
] | Current State: 12:[3, 7, 94, 78], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [94, 78, 4]
Generated Node #2: [94, 78, 4] from Operation: 7-3=4
Current State: 12:[94, 78, 4], Operations: ['7-3=4']
Exploring Operation: 94-78=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 94-78=16
Current State: 12:[4, 16], Operations: ['7-3=4', '94-78=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
63,
40,
18,
55
] | 13 | [
"63-55=8",
"40/8=5",
"18-5=13"
] | Current State: 13:[63, 40, 18, 55], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [40, 18, 8]
Generated Node #2: [40, 18, 8] from Operation: 63-55=8
Current State: 13:[40, 18, 8], Operations: ['63-55=8']
Exploring Operation: 40/8=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 40/8=5
Current State: 13:[18, 5], Operations: ['63-55=8', '40/8=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
85,
28,
65,
4
] | 63 | [
"65-28=37",
"4*37=148",
"148-85=63"
] | Current State: 63:[85, 28, 65, 4], Operations: []
Exploring Operation: 65-28=37, Resulting Numbers: [85, 4, 37]
Generated Node #2: [85, 4, 37] from Operation: 65-28=37
Current State: 63:[85, 4, 37], Operations: ['65-28=37']
Exploring Operation: 4*37=148, Resulting Numbers: [85, 148]
Generated Node #3: [85, 148] from Operation: 4*37=148
Current State: 63:[85, 148], Operations: ['65-28=37', '4*37=148']
Exploring Operation: 148-85=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
45,
11,
15,
42
] | 48 | [
"45-42=3",
"11*3=33",
"15+33=48"
] | Current State: 48:[45, 11, 15, 42], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [11, 15, 3]
Generated Node #2: [11, 15, 3] from Operation: 45-42=3
Current State: 48:[11, 15, 3], Operations: ['45-42=3']
Exploring Operation: 11*3=33, Resulting Numbers: [15, 33]
Generated Node #3: [15, 33] from Operation: 11*3=33
Current State: 48:[15, 33], Operations: ['45-42=3', '11*3=33']
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
56,
78,
18,
4
] | 94 | [
"78-56=22",
"18*4=72",
"22+72=94"
] | Current State: 94:[56, 78, 18, 4], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [18, 4, 22]
Generated Node #2: [18, 4, 22] from Operation: 78-56=22
Current State: 94:[18, 4, 22], Operations: ['78-56=22']
Exploring Operation: 18*4=72, Resulting Numbers: [22, 72]
Generated Node #3: [22, 72] from Operation: 18*4=72
Current State: 94:[22, 72], Operations: ['78-56=22', '18*4=72']
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
83,
21,
72,
15
] | 24 | [
"83*21=1743",
"1743-15=1728",
"1728/72=24"
] | Current State: 24:[83, 21, 72, 15], Operations: []
Exploring Operation: 83*21=1743, Resulting Numbers: [72, 15, 1743]
Generated Node #2: [72, 15, 1743] from Operation: 83*21=1743
Current State: 24:[72, 15, 1743], Operations: ['83*21=1743']
Exploring Operation: 1743-15=1728, Resulting Numbers: [72, 1728]
Generated Node #3: [72, 1728] from Operation: 1743-15=1728
Current State: 24:[72, 1728], Operations: ['83*21=1743', '1743-15=1728']
Exploring Operation: 1728/72=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
86,
22,
19
] | 57 | [
"86-70=16",
"22+19=41",
"16+41=57"
] | Current State: 57:[70, 86, 22, 19], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [22, 19, 16]
Generated Node #2: [22, 19, 16] from Operation: 86-70=16
Current State: 57:[22, 19, 16], Operations: ['86-70=16']
Exploring Operation: 22+19=41, Resulting Numbers: [16, 41]
Generated Node #3: [16, 41] from Operation: 22+19=41
Current State: 57:[16, 41], Operations: ['86-70=16', '22+19=41']
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
84,
28,
44,
37
] | 31 | [
"84+28=112",
"44+37=81",
"112-81=31"
] | Current State: 31:[84, 28, 44, 37], Operations: []
Exploring Operation: 84+28=112, Resulting Numbers: [44, 37, 112]
Generated Node #2: [44, 37, 112] from Operation: 84+28=112
Current State: 31:[44, 37, 112], Operations: ['84+28=112']
Exploring Operation: 44+37=81, Resulting Numbers: [112, 81]
Generated Node #3: [112, 81] from Operation: 44+37=81
Current State: 31:[112, 81], Operations: ['84+28=112', '44+37=81']
Exploring Operation: 112-81=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
57,
92,
54,
28
] | 61 | [
"92-57=35",
"54-28=26",
"35+26=61"
] | Current State: 61:[57, 92, 54, 28], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [54, 28, 35]
Generated Node #2: [54, 28, 35] from Operation: 92-57=35
Current State: 61:[54, 28, 35], Operations: ['92-57=35']
Exploring Operation: 54-28=26, Resulting Numbers: [35, 26]
Generated Node #3: [35, 26] from Operation: 54-28=26
Current State: 61:[35, 26], Operations: ['92-57=35', '54-28=26']
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
58,
7,
3,
25
] | 18 | [
"58-25=33",
"33/3=11",
"7+11=18"
] | Current State: 18:[58, 7, 3, 25], Operations: []
Exploring Operation: 58-25=33, Resulting Numbers: [7, 3, 33]
Generated Node #2: [7, 3, 33] from Operation: 58-25=33
Current State: 18:[7, 3, 33], Operations: ['58-25=33']
Exploring Operation: 33/3=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 33/3=11
Current State: 18:[7, 11], Operations: ['58-25=33', '33/3=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
99,
71,
60,
13
] | 19 | [
"99-71=28",
"60-13=47",
"47-28=19"
] | Current State: 19:[99, 71, 60, 13], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [60, 13, 28]
Generated Node #2: [60, 13, 28] from Operation: 99-71=28
Current State: 19:[60, 13, 28], Operations: ['99-71=28']
Exploring Operation: 60-13=47, Resulting Numbers: [28, 47]
Generated Node #3: [28, 47] from Operation: 60-13=47
Current State: 19:[28, 47], Operations: ['99-71=28', '60-13=47']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
26,
90,
91,
11
] | 97 | [
"26-11=15",
"90/15=6",
"91+6=97"
] | Current State: 97:[26, 90, 91, 11], Operations: []
Exploring Operation: 26-11=15, Resulting Numbers: [90, 91, 15]
Generated Node #2: [90, 91, 15] from Operation: 26-11=15
Current State: 97:[90, 91, 15], Operations: ['26-11=15']
Exploring Operation: 90/15=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 90/15=6
Current State: 97:[91, 6], Operations: ['26-11=15', '90/15=6']
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
40,
6,
22,
69
] | 72 | [
"40-22=18",
"18/6=3",
"69+3=72"
] | Current State: 72:[40, 6, 22, 69], Operations: []
Exploring Operation: 40-22=18, Resulting Numbers: [6, 69, 18]
Generated Node #2: [6, 69, 18] from Operation: 40-22=18
Current State: 72:[6, 69, 18], Operations: ['40-22=18']
Exploring Operation: 18/6=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 18/6=3
Current State: 72:[69, 3], Operations: ['40-22=18', '18/6=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
92,
16,
68,
83
] | 73 | [
"92+68=160",
"160/16=10",
"83-10=73"
] | Current State: 73:[92, 16, 68, 83], Operations: []
Exploring Operation: 92+68=160, Resulting Numbers: [16, 83, 160]
Generated Node #2: [16, 83, 160] from Operation: 92+68=160
Current State: 73:[16, 83, 160], Operations: ['92+68=160']
Exploring Operation: 160/16=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 160/16=10
Current State: 73:[83, 10], Operations: ['92+68=160', '160/16=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
22,
71,
45,
90
] | 91 | [
"22+71=93",
"90/45=2",
"93-2=91"
] | Current State: 91:[22, 71, 45, 90], Operations: []
Exploring Operation: 22+71=93, Resulting Numbers: [45, 90, 93]
Generated Node #2: [45, 90, 93] from Operation: 22+71=93
Current State: 91:[45, 90, 93], Operations: ['22+71=93']
Exploring Operation: 90/45=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 90/45=2
Current State: 91:[93, 2], Operations: ['22+71=93', '90/45=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
79,
69,
67,
56
] | 46 | [
"79-56=23",
"69-67=2",
"23*2=46"
] | Current State: 46:[79, 69, 67, 56], Operations: []
Exploring Operation: 79-56=23, Resulting Numbers: [69, 67, 23]
Generated Node #2: [69, 67, 23] from Operation: 79-56=23
Current State: 46:[69, 67, 23], Operations: ['79-56=23']
Exploring Operation: 69-67=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 69-67=2
Current State: 46:[23, 2], Operations: ['79-56=23', '69-67=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
9,
21,
68,
34
] | 33 | [
"21*68=1428",
"1428/34=42",
"42-9=33"
] | Current State: 33:[9, 21, 68, 34], Operations: []
Exploring Operation: 21*68=1428, Resulting Numbers: [9, 34, 1428]
Generated Node #2: [9, 34, 1428] from Operation: 21*68=1428
Current State: 33:[9, 34, 1428], Operations: ['21*68=1428']
Exploring Operation: 1428/34=42, Resulting Numbers: [9, 42]
Generated Node #3: [9, 42] from Operation: 1428/34=42
Current State: 33:[9, 42], Operations: ['21*68=1428', '1428/34=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
15,
94,
93,
7
] | 98 | [
"94-15=79",
"93-79=14",
"7*14=98"
] | Current State: 98:[15, 94, 93, 7], Operations: []
Exploring Operation: 94-15=79, Resulting Numbers: [93, 7, 79]
Generated Node #2: [93, 7, 79] from Operation: 94-15=79
Current State: 98:[93, 7, 79], Operations: ['94-15=79']
Exploring Operation: 93-79=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 93-79=14
Current State: 98:[7, 14], Operations: ['94-15=79', '93-79=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
84,
70,
48,
36
] | 42 | [
"84*48=4032",
"4032/36=112",
"112-70=42"
] | Current State: 42:[84, 70, 48, 36], Operations: []
Exploring Operation: 84*48=4032, Resulting Numbers: [70, 36, 4032]
Generated Node #2: [70, 36, 4032] from Operation: 84*48=4032
Current State: 42:[70, 36, 4032], Operations: ['84*48=4032']
Exploring Operation: 4032/36=112, Resulting Numbers: [70, 112]
Generated Node #3: [70, 112] from Operation: 4032/36=112
Current State: 42:[70, 112], Operations: ['84*48=4032', '4032/36=112']
Exploring Operation: 112-70=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
16,
23,
4,
16
] | 35 | [
"16+23=39",
"16/4=4",
"39-4=35"
] | Current State: 35:[16, 23, 4, 16], Operations: []
Exploring Operation: 16+23=39, Resulting Numbers: [4, 39]
Generated Node #2: [4, 39] from Operation: 16+23=39
Current State: 35:[4, 39], Operations: ['16+23=39']
Exploring Operation: 16/4=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 16/4=4
Current State: 35:[39, 4], Operations: ['16+23=39', '16/4=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
3,
51,
69,
25
] | 53 | [
"69/3=23",
"51+25=76",
"76-23=53"
] | Current State: 53:[3, 51, 69, 25], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [51, 25, 23]
Generated Node #2: [51, 25, 23] from Operation: 69/3=23
Current State: 53:[51, 25, 23], Operations: ['69/3=23']
Exploring Operation: 51+25=76, Resulting Numbers: [23, 76]
Generated Node #3: [23, 76] from Operation: 51+25=76
Current State: 53:[23, 76], Operations: ['69/3=23', '51+25=76']
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
25,
21,
18,
95
] | 23 | [
"25-21=4",
"18*4=72",
"95-72=23"
] | Current State: 23:[25, 21, 18, 95], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [18, 95, 4]
Generated Node #2: [18, 95, 4] from Operation: 25-21=4
Current State: 23:[18, 95, 4], Operations: ['25-21=4']
Exploring Operation: 18*4=72, Resulting Numbers: [95, 72]
Generated Node #3: [95, 72] from Operation: 18*4=72
Current State: 23:[95, 72], Operations: ['25-21=4', '18*4=72']
Exploring Operation: 95-72=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
33,
76,
65,
50
] | 58 | [
"76-33=43",
"65-50=15",
"43+15=58"
] | Current State: 58:[33, 76, 65, 50], Operations: []
Exploring Operation: 76-33=43, Resulting Numbers: [65, 50, 43]
Generated Node #2: [65, 50, 43] from Operation: 76-33=43
Current State: 58:[65, 50, 43], Operations: ['76-33=43']
Exploring Operation: 65-50=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 65-50=15
Current State: 58:[43, 15], Operations: ['76-33=43', '65-50=15']
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
12,
90,
6,
43
] | 48 | [
"12+6=18",
"90/18=5",
"43+5=48"
] | Current State: 48:[12, 90, 6, 43], Operations: []
Exploring Operation: 12+6=18, Resulting Numbers: [90, 43, 18]
Generated Node #2: [90, 43, 18] from Operation: 12+6=18
Current State: 48:[90, 43, 18], Operations: ['12+6=18']
Exploring Operation: 90/18=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 90/18=5
Current State: 48:[43, 5], Operations: ['12+6=18', '90/18=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
4,
40,
1,
55
] | 54 | [
"1+55=56",
"56/4=14",
"40+14=54"
] | Current State: 54:[4, 40, 1, 55], Operations: []
Exploring Operation: 1+55=56, Resulting Numbers: [4, 40, 56]
Generated Node #2: [4, 40, 56] from Operation: 1+55=56
Current State: 54:[4, 40, 56], Operations: ['1+55=56']
Exploring Operation: 56/4=14, Resulting Numbers: [40, 14]
Generated Node #3: [40, 14] from Operation: 56/4=14
Current State: 54:[40, 14], Operations: ['1+55=56', '56/4=14']
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
35,
20,
50,
92
] | 69 | [
"50-35=15",
"92*15=1380",
"1380/20=69"
] | Current State: 69:[35, 20, 50, 92], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [20, 92, 15]
Generated Node #2: [20, 92, 15] from Operation: 50-35=15
Current State: 69:[20, 92, 15], Operations: ['50-35=15']
Exploring Operation: 92*15=1380, Resulting Numbers: [20, 1380]
Generated Node #3: [20, 1380] from Operation: 92*15=1380
Current State: 69:[20, 1380], Operations: ['50-35=15', '92*15=1380']
Exploring Operation: 1380/20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
83,
31,
67,
38
] | 81 | [
"83-31=52",
"67-38=29",
"52+29=81"
] | Current State: 81:[83, 31, 67, 38], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [67, 38, 52]
Generated Node #2: [67, 38, 52] from Operation: 83-31=52
Current State: 81:[67, 38, 52], Operations: ['83-31=52']
Exploring Operation: 67-38=29, Resulting Numbers: [52, 29]
Generated Node #3: [52, 29] from Operation: 67-38=29
Current State: 81:[52, 29], Operations: ['83-31=52', '67-38=29']
Exploring Operation: 52+29=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
15,
52,
48
] | 23 | [
"52-48=4",
"2*4=8",
"15+8=23"
] | Current State: 23:[2, 15, 52, 48], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [2, 15, 4]
Generated Node #2: [2, 15, 4] from Operation: 52-48=4
Current State: 23:[2, 15, 4], Operations: ['52-48=4']
Exploring Operation: 2*4=8, Resulting Numbers: [15, 8]
Generated Node #3: [15, 8] from Operation: 2*4=8
Current State: 23:[15, 8], Operations: ['52-48=4', '2*4=8']
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
68,
1,
71,
12
] | 39 | [
"71-68=3",
"1+12=13",
"3*13=39"
] | Current State: 39:[68, 1, 71, 12], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [1, 12, 3]
Generated Node #2: [1, 12, 3] from Operation: 71-68=3
Current State: 39:[1, 12, 3], Operations: ['71-68=3']
Exploring Operation: 1+12=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 1+12=13
Current State: 39:[3, 13], Operations: ['71-68=3', '1+12=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
78,
51,
52,
2
] | 39 | [
"78/2=39",
"52-51=1",
"39*1=39"
] | Current State: 39:[78, 51, 52, 2], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [51, 52, 39]
Generated Node #2: [51, 52, 39] from Operation: 78/2=39
Current State: 39:[51, 52, 39], Operations: ['78/2=39']
Exploring Operation: 52-51=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 52-51=1
Current State: 39:[39, 1], Operations: ['78/2=39', '52-51=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
58,
1,
10,
60
] | 18 | [
"60-58=2",
"10-1=9",
"2*9=18"
] | Current State: 18:[58, 1, 10, 60], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [1, 10, 2]
Generated Node #2: [1, 10, 2] from Operation: 60-58=2
Current State: 18:[1, 10, 2], Operations: ['60-58=2']
Exploring Operation: 10-1=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 10-1=9
Current State: 18:[2, 9], Operations: ['60-58=2', '10-1=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
28,
2,
98,
10
] | 50 | [
"98-28=70",
"2*10=20",
"70-20=50"
] | Current State: 50:[28, 2, 98, 10], Operations: []
Exploring Operation: 98-28=70, Resulting Numbers: [2, 10, 70]
Generated Node #2: [2, 10, 70] from Operation: 98-28=70
Current State: 50:[2, 10, 70], Operations: ['98-28=70']
Exploring Operation: 2*10=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 2*10=20
Current State: 50:[70, 20], Operations: ['98-28=70', '2*10=20']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
84,
75,
5,
54
] | 69 | [
"84-54=30",
"30/5=6",
"75-6=69"
] | Current State: 69:[84, 75, 5, 54], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [75, 5, 30]
Generated Node #2: [75, 5, 30] from Operation: 84-54=30
Current State: 69:[75, 5, 30], Operations: ['84-54=30']
Exploring Operation: 30/5=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 30/5=6
Current State: 69:[75, 6], Operations: ['84-54=30', '30/5=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
35,
24,
58
] | 34 | [
"13+35=48",
"24+58=82",
"82-48=34"
] | Current State: 34:[13, 35, 24, 58], Operations: []
Exploring Operation: 13+35=48, Resulting Numbers: [24, 58, 48]
Generated Node #2: [24, 58, 48] from Operation: 13+35=48
Current State: 34:[24, 58, 48], Operations: ['13+35=48']
Exploring Operation: 24+58=82, Resulting Numbers: [48, 82]
Generated Node #3: [48, 82] from Operation: 24+58=82
Current State: 34:[48, 82], Operations: ['13+35=48', '24+58=82']
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
89,
71,
15,
78
] | 97 | [
"89+71=160",
"78-15=63",
"160-63=97"
] | Current State: 97:[89, 71, 15, 78], Operations: []
Exploring Operation: 89+71=160, Resulting Numbers: [15, 78, 160]
Generated Node #2: [15, 78, 160] from Operation: 89+71=160
Current State: 97:[15, 78, 160], Operations: ['89+71=160']
Exploring Operation: 78-15=63, Resulting Numbers: [160, 63]
Generated Node #3: [160, 63] from Operation: 78-15=63
Current State: 97:[160, 63], Operations: ['89+71=160', '78-15=63']
Exploring Operation: 160-63=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
74,
21,
91
] | 91 | [
"96-74=22",
"22-21=1",
"91*1=91"
] | Current State: 91:[96, 74, 21, 91], Operations: []
Exploring Operation: 96-74=22, Resulting Numbers: [21, 91, 22]
Generated Node #2: [21, 91, 22] from Operation: 96-74=22
Current State: 91:[21, 91, 22], Operations: ['96-74=22']
Exploring Operation: 22-21=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 22-21=1
Current State: 91:[91, 1], Operations: ['96-74=22', '22-21=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
21,
74,
43
] | 83 | [
"74-43=31",
"2*31=62",
"21+62=83"
] | Current State: 83:[2, 21, 74, 43], Operations: []
Exploring Operation: 74-43=31, Resulting Numbers: [2, 21, 31]
Generated Node #2: [2, 21, 31] from Operation: 74-43=31
Current State: 83:[2, 21, 31], Operations: ['74-43=31']
Exploring Operation: 2*31=62, Resulting Numbers: [21, 62]
Generated Node #3: [21, 62] from Operation: 2*31=62
Current State: 83:[21, 62], Operations: ['74-43=31', '2*31=62']
Exploring Operation: 21+62=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
53,
56,
48,
16
] | 67 | [
"56-53=3",
"48+16=64",
"3+64=67"
] | Current State: 67:[53, 56, 48, 16], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [48, 16, 3]
Generated Node #2: [48, 16, 3] from Operation: 56-53=3
Current State: 67:[48, 16, 3], Operations: ['56-53=3']
Exploring Operation: 48+16=64, Resulting Numbers: [3, 64]
Generated Node #3: [3, 64] from Operation: 48+16=64
Current State: 67:[3, 64], Operations: ['56-53=3', '48+16=64']
Exploring Operation: 3+64=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
79,
13,
72,
65
] | 99 | [
"79+13=92",
"72-65=7",
"92+7=99"
] | Current State: 99:[79, 13, 72, 65], Operations: []
Exploring Operation: 79+13=92, Resulting Numbers: [72, 65, 92]
Generated Node #2: [72, 65, 92] from Operation: 79+13=92
Current State: 99:[72, 65, 92], Operations: ['79+13=92']
Exploring Operation: 72-65=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 72-65=7
Current State: 99:[92, 7], Operations: ['79+13=92', '72-65=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
93,
39,
60,
97
] | 91 | [
"93-39=54",
"97-60=37",
"54+37=91"
] | Current State: 91:[93, 39, 60, 97], Operations: []
Exploring Operation: 93-39=54, Resulting Numbers: [60, 97, 54]
Generated Node #2: [60, 97, 54] from Operation: 93-39=54
Current State: 91:[60, 97, 54], Operations: ['93-39=54']
Exploring Operation: 97-60=37, Resulting Numbers: [54, 37]
Generated Node #3: [54, 37] from Operation: 97-60=37
Current State: 91:[54, 37], Operations: ['93-39=54', '97-60=37']
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
37,
39,
8,
87
] | 97 | [
"39-37=2",
"8+87=95",
"2+95=97"
] | Current State: 97:[37, 39, 8, 87], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [8, 87, 2]
Generated Node #2: [8, 87, 2] from Operation: 39-37=2
Current State: 97:[8, 87, 2], Operations: ['39-37=2']
Exploring Operation: 8+87=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 8+87=95
Current State: 97:[2, 95], Operations: ['39-37=2', '8+87=95']
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
97,
2,
9,
80
] | 96 | [
"97-9=88",
"2*88=176",
"176-80=96"
] | Current State: 96:[97, 2, 9, 80], Operations: []
Exploring Operation: 97-9=88, Resulting Numbers: [2, 80, 88]
Generated Node #2: [2, 80, 88] from Operation: 97-9=88
Current State: 96:[2, 80, 88], Operations: ['97-9=88']
Exploring Operation: 2*88=176, Resulting Numbers: [80, 176]
Generated Node #3: [80, 176] from Operation: 2*88=176
Current State: 96:[80, 176], Operations: ['97-9=88', '2*88=176']
Exploring Operation: 176-80=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
54,
62,
27,
55
] | 86 | [
"54/27=2",
"62/2=31",
"55+31=86"
] | Current State: 86:[54, 62, 27, 55], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [62, 55, 2]
Generated Node #2: [62, 55, 2] from Operation: 54/27=2
Current State: 86:[62, 55, 2], Operations: ['54/27=2']
Exploring Operation: 62/2=31, Resulting Numbers: [55, 31]
Generated Node #3: [55, 31] from Operation: 62/2=31
Current State: 86:[55, 31], Operations: ['54/27=2', '62/2=31']
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
61,
5,
69,
47
] | 50 | [
"61+5=66",
"69+47=116",
"116-66=50"
] | Current State: 50:[61, 5, 69, 47], Operations: []
Exploring Operation: 61+5=66, Resulting Numbers: [69, 47, 66]
Generated Node #2: [69, 47, 66] from Operation: 61+5=66
Current State: 50:[69, 47, 66], Operations: ['61+5=66']
Exploring Operation: 69+47=116, Resulting Numbers: [66, 116]
Generated Node #3: [66, 116] from Operation: 69+47=116
Current State: 50:[66, 116], Operations: ['61+5=66', '69+47=116']
Exploring Operation: 116-66=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
92,
91,
32,
43
] | 10 | [
"92-91=1",
"43-32=11",
"11-1=10"
] | Current State: 10:[92, 91, 32, 43], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [32, 43, 1]
Generated Node #2: [32, 43, 1] from Operation: 92-91=1
Current State: 10:[32, 43, 1], Operations: ['92-91=1']
Exploring Operation: 43-32=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 43-32=11
Current State: 10:[1, 11], Operations: ['92-91=1', '43-32=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
4,
58,
37,
96
] | 99 | [
"4*58=232",
"37+96=133",
"232-133=99"
] | Current State: 99:[4, 58, 37, 96], Operations: []
Exploring Operation: 4*58=232, Resulting Numbers: [37, 96, 232]
Generated Node #2: [37, 96, 232] from Operation: 4*58=232
Current State: 99:[37, 96, 232], Operations: ['4*58=232']
Exploring Operation: 37+96=133, Resulting Numbers: [232, 133]
Generated Node #3: [232, 133] from Operation: 37+96=133
Current State: 99:[232, 133], Operations: ['4*58=232', '37+96=133']
Exploring Operation: 232-133=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
86,
26,
44,
6
] | 96 | [
"86-26=60",
"60-44=16",
"6*16=96"
] | Current State: 96:[86, 26, 44, 6], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [44, 6, 60]
Generated Node #2: [44, 6, 60] from Operation: 86-26=60
Current State: 96:[44, 6, 60], Operations: ['86-26=60']
Exploring Operation: 60-44=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 60-44=16
Current State: 96:[6, 16], Operations: ['86-26=60', '60-44=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
65,
63,
94,
13
] | 47 | [
"65+63=128",
"94-13=81",
"128-81=47"
] | Current State: 47:[65, 63, 94, 13], Operations: []
Exploring Operation: 65+63=128, Resulting Numbers: [94, 13, 128]
Generated Node #2: [94, 13, 128] from Operation: 65+63=128
Current State: 47:[94, 13, 128], Operations: ['65+63=128']
Exploring Operation: 94-13=81, Resulting Numbers: [128, 81]
Generated Node #3: [128, 81] from Operation: 94-13=81
Current State: 47:[128, 81], Operations: ['65+63=128', '94-13=81']
Exploring Operation: 128-81=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
40,
39,
36,
92
] | 57 | [
"40-39=1",
"92-36=56",
"1+56=57"
] | Current State: 57:[40, 39, 36, 92], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [36, 92, 1]
Generated Node #2: [36, 92, 1] from Operation: 40-39=1
Current State: 57:[36, 92, 1], Operations: ['40-39=1']
Exploring Operation: 92-36=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 92-36=56
Current State: 57:[1, 56], Operations: ['40-39=1', '92-36=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
20,
39,
25,
34
] | 40 | [
"39-20=19",
"25+34=59",
"59-19=40"
] | Current State: 40:[20, 39, 25, 34], Operations: []
Exploring Operation: 39-20=19, Resulting Numbers: [25, 34, 19]
Generated Node #2: [25, 34, 19] from Operation: 39-20=19
Current State: 40:[25, 34, 19], Operations: ['39-20=19']
Exploring Operation: 25+34=59, Resulting Numbers: [19, 59]
Generated Node #3: [19, 59] from Operation: 25+34=59
Current State: 40:[19, 59], Operations: ['39-20=19', '25+34=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
74,
57,
62,
95
] | 50 | [
"74-57=17",
"95-62=33",
"17+33=50"
] | Current State: 50:[74, 57, 62, 95], Operations: []
Exploring Operation: 74-57=17, Resulting Numbers: [62, 95, 17]
Generated Node #2: [62, 95, 17] from Operation: 74-57=17
Current State: 50:[62, 95, 17], Operations: ['74-57=17']
Exploring Operation: 95-62=33, Resulting Numbers: [17, 33]
Generated Node #3: [17, 33] from Operation: 95-62=33
Current State: 50:[17, 33], Operations: ['74-57=17', '95-62=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
1,
38,
73,
37
] | 40 | [
"1+73=74",
"74/37=2",
"38+2=40"
] | Current State: 40:[1, 38, 73, 37], Operations: []
Exploring Operation: 1+73=74, Resulting Numbers: [38, 37, 74]
Generated Node #2: [38, 37, 74] from Operation: 1+73=74
Current State: 40:[38, 37, 74], Operations: ['1+73=74']
Exploring Operation: 74/37=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 74/37=2
Current State: 40:[38, 2], Operations: ['1+73=74', '74/37=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
4,
3,
21
] | 11 | [
"23-21=2",
"4*2=8",
"3+8=11"
] | Current State: 11:[23, 4, 3, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [4, 3, 2]
Generated Node #2: [4, 3, 2] from Operation: 23-21=2
Current State: 11:[4, 3, 2], Operations: ['23-21=2']
Exploring Operation: 4*2=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 4*2=8
Current State: 11:[3, 8], Operations: ['23-21=2', '4*2=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
94,
38,
47,
22
] | 82 | [
"94/47=2",
"22*2=44",
"38+44=82"
] | Current State: 82:[94, 38, 47, 22], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [38, 22, 2]
Generated Node #2: [38, 22, 2] from Operation: 94/47=2
Current State: 82:[38, 22, 2], Operations: ['94/47=2']
Exploring Operation: 22*2=44, Resulting Numbers: [38, 44]
Generated Node #3: [38, 44] from Operation: 22*2=44
Current State: 82:[38, 44], Operations: ['94/47=2', '22*2=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
9,
58,
23,
90
] | 99 | [
"58+23=81",
"81/9=9",
"90+9=99"
] | Current State: 99:[9, 58, 23, 90], Operations: []
Exploring Operation: 58+23=81, Resulting Numbers: [9, 90, 81]
Generated Node #2: [9, 90, 81] from Operation: 58+23=81
Current State: 99:[9, 90, 81], Operations: ['58+23=81']
Exploring Operation: 81/9=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 81/9=9
Current State: 99:[90, 9], Operations: ['58+23=81', '81/9=9']
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
2,
12,
72
] | 84 | [
"2-2=0",
"12+72=84",
"0+84=84"
] | Current State: 84:[2, 2, 12, 72], Operations: []
Exploring Operation: 2-2=0, Resulting Numbers: [12, 72, 0]
Generated Node #2: [12, 72, 0] from Operation: 2-2=0
Current State: 84:[12, 72, 0], Operations: ['2-2=0']
Exploring Operation: 12+72=84, Resulting Numbers: [0, 84]
Generated Node #3: [0, 84] from Operation: 12+72=84
Current State: 84:[0, 84], Operations: ['2-2=0', '12+72=84']
Exploring Operation: 0+84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
37,
15,
11
] | 35 | [
"10*37=370",
"15+370=385",
"385/11=35"
] | Current State: 35:[10, 37, 15, 11], Operations: []
Exploring Operation: 10*37=370, Resulting Numbers: [15, 11, 370]
Generated Node #2: [15, 11, 370] from Operation: 10*37=370
Current State: 35:[15, 11, 370], Operations: ['10*37=370']
Exploring Operation: 15+370=385, Resulting Numbers: [11, 385]
Generated Node #3: [11, 385] from Operation: 15+370=385
Current State: 35:[11, 385], Operations: ['10*37=370', '15+370=385']
Exploring Operation: 385/11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
62,
14,
43,
51
] | 40 | [
"62-14=48",
"51-43=8",
"48-8=40"
] | Current State: 40:[62, 14, 43, 51], Operations: []
Exploring Operation: 62-14=48, Resulting Numbers: [43, 51, 48]
Generated Node #2: [43, 51, 48] from Operation: 62-14=48
Current State: 40:[43, 51, 48], Operations: ['62-14=48']
Exploring Operation: 51-43=8, Resulting Numbers: [48, 8]
Generated Node #3: [48, 8] from Operation: 51-43=8
Current State: 40:[48, 8], Operations: ['62-14=48', '51-43=8']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
13,
27,
82,
77
] | 92 | [
"82-77=5",
"13*5=65",
"27+65=92"
] | Current State: 92:[13, 27, 82, 77], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [13, 27, 5]
Generated Node #2: [13, 27, 5] from Operation: 82-77=5
Current State: 92:[13, 27, 5], Operations: ['82-77=5']
Exploring Operation: 13*5=65, Resulting Numbers: [27, 65]
Generated Node #3: [27, 65] from Operation: 13*5=65
Current State: 92:[27, 65], Operations: ['82-77=5', '13*5=65']
Exploring Operation: 27+65=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
10,
77,
6,
70
] | 77 | [
"70/10=7",
"7-6=1",
"77*1=77"
] | Current State: 77:[10, 77, 6, 70], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [77, 6, 7]
Generated Node #2: [77, 6, 7] from Operation: 70/10=7
Current State: 77:[77, 6, 7], Operations: ['70/10=7']
Exploring Operation: 7-6=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 7-6=1
Current State: 77:[77, 1], Operations: ['70/10=7', '7-6=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
88,
29,
53,
83
] | 92 | [
"88-83=5",
"29*5=145",
"145-53=92"
] | Current State: 92:[88, 29, 53, 83], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [29, 53, 5]
Generated Node #2: [29, 53, 5] from Operation: 88-83=5
Current State: 92:[29, 53, 5], Operations: ['88-83=5']
Exploring Operation: 29*5=145, Resulting Numbers: [53, 145]
Generated Node #3: [53, 145] from Operation: 29*5=145
Current State: 92:[53, 145], Operations: ['88-83=5', '29*5=145']
Exploring Operation: 145-53=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
57,
70,
6
] | 19 | [
"70/35=2",
"57*2=114",
"114/6=19"
] | Current State: 19:[35, 57, 70, 6], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [57, 6, 2]
Generated Node #2: [57, 6, 2] from Operation: 70/35=2
Current State: 19:[57, 6, 2], Operations: ['70/35=2']
Exploring Operation: 57*2=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 57*2=114
Current State: 19:[6, 114], Operations: ['70/35=2', '57*2=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
92,
9,
48,
92
] | 40 | [
"92/92=1",
"48-9=39",
"1+39=40"
] | Current State: 40:[92, 9, 48, 92], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [9, 48, 1]
Generated Node #2: [9, 48, 1] from Operation: 92/92=1
Current State: 40:[9, 48, 1], Operations: ['92/92=1']
Exploring Operation: 48-9=39, Resulting Numbers: [1, 39]
Generated Node #3: [1, 39] from Operation: 48-9=39
Current State: 40:[1, 39], Operations: ['92/92=1', '48-9=39']
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
26,
31,
78,
43
] | 40 | [
"31-26=5",
"78-43=35",
"5+35=40"
] | Current State: 40:[26, 31, 78, 43], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [78, 43, 5]
Generated Node #2: [78, 43, 5] from Operation: 31-26=5
Current State: 40:[78, 43, 5], Operations: ['31-26=5']
Exploring Operation: 78-43=35, Resulting Numbers: [5, 35]
Generated Node #3: [5, 35] from Operation: 78-43=35
Current State: 40:[5, 35], Operations: ['31-26=5', '78-43=35']
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
81,
74,
23,
54
] | 70 | [
"81-74=7",
"23+54=77",
"77-7=70"
] | Current State: 70:[81, 74, 23, 54], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [23, 54, 7]
Generated Node #2: [23, 54, 7] from Operation: 81-74=7
Current State: 70:[23, 54, 7], Operations: ['81-74=7']
Exploring Operation: 23+54=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 23+54=77
Current State: 70:[7, 77], Operations: ['81-74=7', '23+54=77']
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
60,
23,
62,
85
] | 54 | [
"62-60=2",
"23+85=108",
"108/2=54"
] | Current State: 54:[60, 23, 62, 85], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [23, 85, 2]
Generated Node #2: [23, 85, 2] from Operation: 62-60=2
Current State: 54:[23, 85, 2], Operations: ['62-60=2']
Exploring Operation: 23+85=108, Resulting Numbers: [2, 108]
Generated Node #3: [2, 108] from Operation: 23+85=108
Current State: 54:[2, 108], Operations: ['62-60=2', '23+85=108']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
83,
7,
38,
90
] | 88 | [
"83-7=76",
"76/38=2",
"90-2=88"
] | Current State: 88:[83, 7, 38, 90], Operations: []
Exploring Operation: 83-7=76, Resulting Numbers: [38, 90, 76]
Generated Node #2: [38, 90, 76] from Operation: 83-7=76
Current State: 88:[38, 90, 76], Operations: ['83-7=76']
Exploring Operation: 76/38=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 76/38=2
Current State: 88:[90, 2], Operations: ['83-7=76', '76/38=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
61,
90,
3
] | 30 | [
"2+61=63",
"90+3=93",
"93-63=30"
] | Current State: 30:[2, 61, 90, 3], Operations: []
Exploring Operation: 2+61=63, Resulting Numbers: [90, 3, 63]
Generated Node #2: [90, 3, 63] from Operation: 2+61=63
Current State: 30:[90, 3, 63], Operations: ['2+61=63']
Exploring Operation: 90+3=93, Resulting Numbers: [63, 93]
Generated Node #3: [63, 93] from Operation: 90+3=93
Current State: 30:[63, 93], Operations: ['2+61=63', '90+3=93']
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
84,
78,
2,
44
] | 74 | [
"84+78=162",
"2*44=88",
"162-88=74"
] | Current State: 74:[84, 78, 2, 44], Operations: []
Exploring Operation: 84+78=162, Resulting Numbers: [2, 44, 162]
Generated Node #2: [2, 44, 162] from Operation: 84+78=162
Current State: 74:[2, 44, 162], Operations: ['84+78=162']
Exploring Operation: 2*44=88, Resulting Numbers: [162, 88]
Generated Node #3: [162, 88] from Operation: 2*44=88
Current State: 74:[162, 88], Operations: ['84+78=162', '2*44=88']
Exploring Operation: 162-88=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
84,
48,
68,
15
] | 49 | [
"84+48=132",
"68+15=83",
"132-83=49"
] | Current State: 49:[84, 48, 68, 15], Operations: []
Exploring Operation: 84+48=132, Resulting Numbers: [68, 15, 132]
Generated Node #2: [68, 15, 132] from Operation: 84+48=132
Current State: 49:[68, 15, 132], Operations: ['84+48=132']
Exploring Operation: 68+15=83, Resulting Numbers: [132, 83]
Generated Node #3: [132, 83] from Operation: 68+15=83
Current State: 49:[132, 83], Operations: ['84+48=132', '68+15=83']
Exploring Operation: 132-83=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
52,
54,
39,
7
] | 30 | [
"54-52=2",
"39-7=32",
"32-2=30"
] | Current State: 30:[52, 54, 39, 7], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [39, 7, 2]
Generated Node #2: [39, 7, 2] from Operation: 54-52=2
Current State: 30:[39, 7, 2], Operations: ['54-52=2']
Exploring Operation: 39-7=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 39-7=32
Current State: 30:[2, 32], Operations: ['54-52=2', '39-7=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
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