nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
5,
23,
12,
17
] | 86 | [
"5*23=115",
"12+17=29",
"115-29=86"
] | Current State: 86:[5, 23, 12, 17], Operations: []
Exploring Operation: 5*23=115, Resulting Numbers: [12, 17, 115]
Generated Node #2: [12, 17, 115] from Operation: 5*23=115
Current State: 86:[12, 17, 115], Operations: ['5*23=115']
Exploring Operation: 12+17=29, Resulting Numbers: [115, 29]
Generated Node #3: [115, 29] from Operation: 12+17=29
Current State: 86:[115, 29], Operations: ['5*23=115', '12+17=29']
Exploring Operation: 115-29=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
95,
83,
14,
81
] | 84 | [
"95-14=81",
"81/81=1",
"83+1=84"
] | Current State: 84:[95, 83, 14, 81], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [83, 81, 81]
Generated Node #2: [83, 81, 81] from Operation: 95-14=81
Current State: 84:[83, 81, 81], Operations: ['95-14=81']
Exploring Operation: 81/81=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 81/81=1
Current State: 84:[83, 1], Operations: ['95-14=81', '81/81=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
67,
45,
76,
2
] | 27 | [
"67-45=22",
"76-22=54",
"54/2=27"
] | Current State: 27:[67, 45, 76, 2], Operations: []
Exploring Operation: 67-45=22, Resulting Numbers: [76, 2, 22]
Generated Node #2: [76, 2, 22] from Operation: 67-45=22
Current State: 27:[76, 2, 22], Operations: ['67-45=22']
Exploring Operation: 76-22=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 76-22=54
Current State: 27:[2, 54], Operations: ['67-45=22', '76-22=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
60,
15,
80,
70
] | 75 | [
"60+15=75",
"80+70=150",
"150-75=75"
] | Current State: 75:[60, 15, 80, 70], Operations: []
Exploring Operation: 60+15=75, Resulting Numbers: [80, 70, 75]
Generated Node #2: [80, 70, 75] from Operation: 60+15=75
Current State: 75:[80, 70, 75], Operations: ['60+15=75']
Exploring Operation: 80+70=150, Resulting Numbers: [75, 150]
Generated Node #3: [75, 150] from Operation: 80+70=150
Current State: 75:[75, 150], Operations: ['60+15=75', '80+70=150']
Exploring Operation: 150-75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
92,
66,
20,
48
] | 73 | [
"92+48=140",
"140/20=7",
"66+7=73"
] | Current State: 73:[92, 66, 20, 48], Operations: []
Exploring Operation: 92+48=140, Resulting Numbers: [66, 20, 140]
Generated Node #2: [66, 20, 140] from Operation: 92+48=140
Current State: 73:[66, 20, 140], Operations: ['92+48=140']
Exploring Operation: 140/20=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 140/20=7
Current State: 73:[66, 7], Operations: ['92+48=140', '140/20=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
22,
80,
40,
40
] | 21 | [
"80-40=40",
"40/40=1",
"22-1=21"
] | Current State: 21:[22, 80, 40, 40], Operations: []
Exploring Operation: 80-40=40, Resulting Numbers: [22, 40]
Generated Node #2: [22, 40] from Operation: 80-40=40
Current State: 21:[22, 40], Operations: ['80-40=40']
Exploring Operation: 40/40=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 40/40=1
Current State: 21:[22, 1], Operations: ['80-40=40', '40/40=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
99,
45,
84,
89
] | 51 | [
"99*45=4455",
"84+4455=4539",
"4539/89=51"
] | Current State: 51:[99, 45, 84, 89], Operations: []
Exploring Operation: 99*45=4455, Resulting Numbers: [84, 89, 4455]
Generated Node #2: [84, 89, 4455] from Operation: 99*45=4455
Current State: 51:[84, 89, 4455], Operations: ['99*45=4455']
Exploring Operation: 84+4455=4539, Resulting Numbers: [89, 4539]
Generated Node #3: [89, 4539] from Operation: 84+4455=4539
Current State: 51:[89, 4539], Operations: ['99*45=4455', '84+4455=4539']
Exploring Operation: 4539/89=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
98,
8,
4,
43
] | 48 | [
"98*4=392",
"8*43=344",
"392-344=48"
] | Current State: 48:[98, 8, 4, 43], Operations: []
Exploring Operation: 98*4=392, Resulting Numbers: [8, 43, 392]
Generated Node #2: [8, 43, 392] from Operation: 98*4=392
Current State: 48:[8, 43, 392], Operations: ['98*4=392']
Exploring Operation: 8*43=344, Resulting Numbers: [392, 344]
Generated Node #3: [392, 344] from Operation: 8*43=344
Current State: 48:[392, 344], Operations: ['98*4=392', '8*43=344']
Exploring Operation: 392-344=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
55,
61,
96,
2
] | 81 | [
"96-55=41",
"61*2=122",
"122-41=81"
] | Current State: 81:[55, 61, 96, 2], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [61, 2, 41]
Generated Node #2: [61, 2, 41] from Operation: 96-55=41
Current State: 81:[61, 2, 41], Operations: ['96-55=41']
Exploring Operation: 61*2=122, Resulting Numbers: [41, 122]
Generated Node #3: [41, 122] from Operation: 61*2=122
Current State: 81:[41, 122], Operations: ['96-55=41', '61*2=122']
Exploring Operation: 122-41=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
85,
51,
75,
33
] | 78 | [
"51*75=3825",
"3825/85=45",
"33+45=78"
] | Current State: 78:[85, 51, 75, 33], Operations: []
Exploring Operation: 51*75=3825, Resulting Numbers: [85, 33, 3825]
Generated Node #2: [85, 33, 3825] from Operation: 51*75=3825
Current State: 78:[85, 33, 3825], Operations: ['51*75=3825']
Exploring Operation: 3825/85=45, Resulting Numbers: [33, 45]
Generated Node #3: [33, 45] from Operation: 3825/85=45
Current State: 78:[33, 45], Operations: ['51*75=3825', '3825/85=45']
Exploring Operation: 33+45=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
40,
29,
54,
24
] | 89 | [
"40-29=11",
"54+24=78",
"11+78=89"
] | Current State: 89:[40, 29, 54, 24], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [54, 24, 11]
Generated Node #2: [54, 24, 11] from Operation: 40-29=11
Current State: 89:[54, 24, 11], Operations: ['40-29=11']
Exploring Operation: 54+24=78, Resulting Numbers: [11, 78]
Generated Node #3: [11, 78] from Operation: 54+24=78
Current State: 89:[11, 78], Operations: ['40-29=11', '54+24=78']
Exploring Operation: 11+78=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
95,
13,
85,
10
] | 60 | [
"95+85=180",
"13-10=3",
"180/3=60"
] | Current State: 60:[95, 13, 85, 10], Operations: []
Exploring Operation: 95+85=180, Resulting Numbers: [13, 10, 180]
Generated Node #2: [13, 10, 180] from Operation: 95+85=180
Current State: 60:[13, 10, 180], Operations: ['95+85=180']
Exploring Operation: 13-10=3, Resulting Numbers: [180, 3]
Generated Node #3: [180, 3] from Operation: 13-10=3
Current State: 60:[180, 3], Operations: ['95+85=180', '13-10=3']
Exploring Operation: 180/3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
71,
24,
3,
60
] | 81 | [
"71-24=47",
"3*47=141",
"141-60=81"
] | Current State: 81:[71, 24, 3, 60], Operations: []
Exploring Operation: 71-24=47, Resulting Numbers: [3, 60, 47]
Generated Node #2: [3, 60, 47] from Operation: 71-24=47
Current State: 81:[3, 60, 47], Operations: ['71-24=47']
Exploring Operation: 3*47=141, Resulting Numbers: [60, 141]
Generated Node #3: [60, 141] from Operation: 3*47=141
Current State: 81:[60, 141], Operations: ['71-24=47', '3*47=141']
Exploring Operation: 141-60=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
24,
31,
6,
17
] | 25 | [
"31-24=7",
"6*7=42",
"42-17=25"
] | Current State: 25:[24, 31, 6, 17], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [6, 17, 7]
Generated Node #2: [6, 17, 7] from Operation: 31-24=7
Current State: 25:[6, 17, 7], Operations: ['31-24=7']
Exploring Operation: 6*7=42, Resulting Numbers: [17, 42]
Generated Node #3: [17, 42] from Operation: 6*7=42
Current State: 25:[17, 42], Operations: ['31-24=7', '6*7=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
72,
76,
48,
74
] | 26 | [
"72+76=148",
"48+74=122",
"148-122=26"
] | Current State: 26:[72, 76, 48, 74], Operations: []
Exploring Operation: 72+76=148, Resulting Numbers: [48, 74, 148]
Generated Node #2: [48, 74, 148] from Operation: 72+76=148
Current State: 26:[48, 74, 148], Operations: ['72+76=148']
Exploring Operation: 48+74=122, Resulting Numbers: [148, 122]
Generated Node #3: [148, 122] from Operation: 48+74=122
Current State: 26:[148, 122], Operations: ['72+76=148', '48+74=122']
Exploring Operation: 148-122=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
93,
55,
6,
58
] | 75 | [
"58-55=3",
"6*3=18",
"93-18=75"
] | Current State: 75:[93, 55, 6, 58], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [93, 6, 3]
Generated Node #2: [93, 6, 3] from Operation: 58-55=3
Current State: 75:[93, 6, 3], Operations: ['58-55=3']
Exploring Operation: 6*3=18, Resulting Numbers: [93, 18]
Generated Node #3: [93, 18] from Operation: 6*3=18
Current State: 75:[93, 18], Operations: ['58-55=3', '6*3=18']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
61,
37,
7,
27
] | 91 | [
"61+37=98",
"7*27=189",
"189-98=91"
] | Current State: 91:[61, 37, 7, 27], Operations: []
Exploring Operation: 61+37=98, Resulting Numbers: [7, 27, 98]
Generated Node #2: [7, 27, 98] from Operation: 61+37=98
Current State: 91:[7, 27, 98], Operations: ['61+37=98']
Exploring Operation: 7*27=189, Resulting Numbers: [98, 189]
Generated Node #3: [98, 189] from Operation: 7*27=189
Current State: 91:[98, 189], Operations: ['61+37=98', '7*27=189']
Exploring Operation: 189-98=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
8,
24,
66,
86
] | 64 | [
"24/8=3",
"66/3=22",
"86-22=64"
] | Current State: 64:[8, 24, 66, 86], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [66, 86, 3]
Generated Node #2: [66, 86, 3] from Operation: 24/8=3
Current State: 64:[66, 86, 3], Operations: ['24/8=3']
Exploring Operation: 66/3=22, Resulting Numbers: [86, 22]
Generated Node #3: [86, 22] from Operation: 66/3=22
Current State: 64:[86, 22], Operations: ['24/8=3', '66/3=22']
Exploring Operation: 86-22=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
10,
65,
45,
95
] | 51 | [
"45+95=140",
"140/10=14",
"65-14=51"
] | Current State: 51:[10, 65, 45, 95], Operations: []
Exploring Operation: 45+95=140, Resulting Numbers: [10, 65, 140]
Generated Node #2: [10, 65, 140] from Operation: 45+95=140
Current State: 51:[10, 65, 140], Operations: ['45+95=140']
Exploring Operation: 140/10=14, Resulting Numbers: [65, 14]
Generated Node #3: [65, 14] from Operation: 140/10=14
Current State: 51:[65, 14], Operations: ['45+95=140', '140/10=14']
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
75,
42,
26
] | 66 | [
"7+75=82",
"42-26=16",
"82-16=66"
] | Current State: 66:[7, 75, 42, 26], Operations: []
Exploring Operation: 7+75=82, Resulting Numbers: [42, 26, 82]
Generated Node #2: [42, 26, 82] from Operation: 7+75=82
Current State: 66:[42, 26, 82], Operations: ['7+75=82']
Exploring Operation: 42-26=16, Resulting Numbers: [82, 16]
Generated Node #3: [82, 16] from Operation: 42-26=16
Current State: 66:[82, 16], Operations: ['7+75=82', '42-26=16']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
16,
93,
2,
16
] | 46 | [
"16/16=1",
"93-1=92",
"92/2=46"
] | Current State: 46:[16, 93, 2, 16], Operations: []
Exploring Operation: 16/16=1, Resulting Numbers: [93, 2, 1]
Generated Node #2: [93, 2, 1] from Operation: 16/16=1
Current State: 46:[93, 2, 1], Operations: ['16/16=1']
Exploring Operation: 93-1=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 93-1=92
Current State: 46:[2, 92], Operations: ['16/16=1', '93-1=92']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
27,
4,
12,
93
] | 63 | [
"27+12=39",
"4*39=156",
"156-93=63"
] | Current State: 63:[27, 4, 12, 93], Operations: []
Exploring Operation: 27+12=39, Resulting Numbers: [4, 93, 39]
Generated Node #2: [4, 93, 39] from Operation: 27+12=39
Current State: 63:[4, 93, 39], Operations: ['27+12=39']
Exploring Operation: 4*39=156, Resulting Numbers: [93, 156]
Generated Node #3: [93, 156] from Operation: 4*39=156
Current State: 63:[93, 156], Operations: ['27+12=39', '4*39=156']
Exploring Operation: 156-93=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
92,
18,
4,
96
] | 98 | [
"92-18=74",
"96/4=24",
"74+24=98"
] | Current State: 98:[92, 18, 4, 96], Operations: []
Exploring Operation: 92-18=74, Resulting Numbers: [4, 96, 74]
Generated Node #2: [4, 96, 74] from Operation: 92-18=74
Current State: 98:[4, 96, 74], Operations: ['92-18=74']
Exploring Operation: 96/4=24, Resulting Numbers: [74, 24]
Generated Node #3: [74, 24] from Operation: 96/4=24
Current State: 98:[74, 24], Operations: ['92-18=74', '96/4=24']
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
3,
57,
99,
17
] | 56 | [
"3+57=60",
"99+17=116",
"116-60=56"
] | Current State: 56:[3, 57, 99, 17], Operations: []
Exploring Operation: 3+57=60, Resulting Numbers: [99, 17, 60]
Generated Node #2: [99, 17, 60] from Operation: 3+57=60
Current State: 56:[99, 17, 60], Operations: ['3+57=60']
Exploring Operation: 99+17=116, Resulting Numbers: [60, 116]
Generated Node #3: [60, 116] from Operation: 99+17=116
Current State: 56:[60, 116], Operations: ['3+57=60', '99+17=116']
Exploring Operation: 116-60=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
49,
37,
26,
31
] | 45 | [
"49-37=12",
"26+31=57",
"57-12=45"
] | Current State: 45:[49, 37, 26, 31], Operations: []
Exploring Operation: 49-37=12, Resulting Numbers: [26, 31, 12]
Generated Node #2: [26, 31, 12] from Operation: 49-37=12
Current State: 45:[26, 31, 12], Operations: ['49-37=12']
Exploring Operation: 26+31=57, Resulting Numbers: [12, 57]
Generated Node #3: [12, 57] from Operation: 26+31=57
Current State: 45:[12, 57], Operations: ['49-37=12', '26+31=57']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
7,
70,
64,
87
] | 91 | [
"87-64=23",
"7*23=161",
"161-70=91"
] | Current State: 91:[7, 70, 64, 87], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [7, 70, 23]
Generated Node #2: [7, 70, 23] from Operation: 87-64=23
Current State: 91:[7, 70, 23], Operations: ['87-64=23']
Exploring Operation: 7*23=161, Resulting Numbers: [70, 161]
Generated Node #3: [70, 161] from Operation: 7*23=161
Current State: 91:[70, 161], Operations: ['87-64=23', '7*23=161']
Exploring Operation: 161-70=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
15,
8,
90,
26
] | 30 | [
"15+8=23",
"26-23=3",
"90/3=30"
] | Current State: 30:[15, 8, 90, 26], Operations: []
Exploring Operation: 15+8=23, Resulting Numbers: [90, 26, 23]
Generated Node #2: [90, 26, 23] from Operation: 15+8=23
Current State: 30:[90, 26, 23], Operations: ['15+8=23']
Exploring Operation: 26-23=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 26-23=3
Current State: 30:[90, 3], Operations: ['15+8=23', '26-23=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
68,
93,
5
] | 45 | [
"93-68=25",
"2*25=50",
"50-5=45"
] | Current State: 45:[2, 68, 93, 5], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [2, 5, 25]
Generated Node #2: [2, 5, 25] from Operation: 93-68=25
Current State: 45:[2, 5, 25], Operations: ['93-68=25']
Exploring Operation: 2*25=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 2*25=50
Current State: 45:[5, 50], Operations: ['93-68=25', '2*25=50']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
85,
17,
81,
96
] | 53 | [
"85-17=68",
"96-81=15",
"68-15=53"
] | Current State: 53:[85, 17, 81, 96], Operations: []
Exploring Operation: 85-17=68, Resulting Numbers: [81, 96, 68]
Generated Node #2: [81, 96, 68] from Operation: 85-17=68
Current State: 53:[81, 96, 68], Operations: ['85-17=68']
Exploring Operation: 96-81=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 96-81=15
Current State: 53:[68, 15], Operations: ['85-17=68', '96-81=15']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
93,
9,
91,
47
] | 58 | [
"93+9=102",
"91-47=44",
"102-44=58"
] | Current State: 58:[93, 9, 91, 47], Operations: []
Exploring Operation: 93+9=102, Resulting Numbers: [91, 47, 102]
Generated Node #2: [91, 47, 102] from Operation: 93+9=102
Current State: 58:[91, 47, 102], Operations: ['93+9=102']
Exploring Operation: 91-47=44, Resulting Numbers: [102, 44]
Generated Node #3: [102, 44] from Operation: 91-47=44
Current State: 58:[102, 44], Operations: ['93+9=102', '91-47=44']
Exploring Operation: 102-44=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
93,
63,
56,
89
] | 63 | [
"93-63=30",
"89-56=33",
"30+33=63"
] | Current State: 63:[93, 63, 56, 89], Operations: []
Exploring Operation: 93-63=30, Resulting Numbers: [56, 89, 30]
Generated Node #2: [56, 89, 30] from Operation: 93-63=30
Current State: 63:[56, 89, 30], Operations: ['93-63=30']
Exploring Operation: 89-56=33, Resulting Numbers: [30, 33]
Generated Node #3: [30, 33] from Operation: 89-56=33
Current State: 63:[30, 33], Operations: ['93-63=30', '89-56=33']
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
2,
18,
24,
73
] | 65 | [
"18-2=16",
"73-24=49",
"16+49=65"
] | Current State: 65:[2, 18, 24, 73], Operations: []
Exploring Operation: 18-2=16, Resulting Numbers: [24, 73, 16]
Generated Node #2: [24, 73, 16] from Operation: 18-2=16
Current State: 65:[24, 73, 16], Operations: ['18-2=16']
Exploring Operation: 73-24=49, Resulting Numbers: [16, 49]
Generated Node #3: [16, 49] from Operation: 73-24=49
Current State: 65:[16, 49], Operations: ['18-2=16', '73-24=49']
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
65,
6,
87,
5
] | 11 | [
"65+6=71",
"87-5=82",
"82-71=11"
] | Current State: 11:[65, 6, 87, 5], Operations: []
Exploring Operation: 65+6=71, Resulting Numbers: [87, 5, 71]
Generated Node #2: [87, 5, 71] from Operation: 65+6=71
Current State: 11:[87, 5, 71], Operations: ['65+6=71']
Exploring Operation: 87-5=82, Resulting Numbers: [71, 82]
Generated Node #3: [71, 82] from Operation: 87-5=82
Current State: 11:[71, 82], Operations: ['65+6=71', '87-5=82']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
8,
70,
54
] | 85 | [
"70-8=62",
"62/2=31",
"54+31=85"
] | Current State: 85:[2, 8, 70, 54], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [2, 54, 62]
Generated Node #2: [2, 54, 62] from Operation: 70-8=62
Current State: 85:[2, 54, 62], Operations: ['70-8=62']
Exploring Operation: 62/2=31, Resulting Numbers: [54, 31]
Generated Node #3: [54, 31] from Operation: 62/2=31
Current State: 85:[54, 31], Operations: ['70-8=62', '62/2=31']
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
45,
97,
87
] | 25 | [
"45/3=15",
"97-87=10",
"15+10=25"
] | Current State: 25:[3, 45, 97, 87], Operations: []
Exploring Operation: 45/3=15, Resulting Numbers: [97, 87, 15]
Generated Node #2: [97, 87, 15] from Operation: 45/3=15
Current State: 25:[97, 87, 15], Operations: ['45/3=15']
Exploring Operation: 97-87=10, Resulting Numbers: [15, 10]
Generated Node #3: [15, 10] from Operation: 97-87=10
Current State: 25:[15, 10], Operations: ['45/3=15', '97-87=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
32,
88,
13,
2
] | 50 | [
"32-13=19",
"2*19=38",
"88-38=50"
] | Current State: 50:[32, 88, 13, 2], Operations: []
Exploring Operation: 32-13=19, Resulting Numbers: [88, 2, 19]
Generated Node #2: [88, 2, 19] from Operation: 32-13=19
Current State: 50:[88, 2, 19], Operations: ['32-13=19']
Exploring Operation: 2*19=38, Resulting Numbers: [88, 38]
Generated Node #3: [88, 38] from Operation: 2*19=38
Current State: 50:[88, 38], Operations: ['32-13=19', '2*19=38']
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
82,
87,
7,
64
] | 99 | [
"87-82=5",
"7*5=35",
"64+35=99"
] | Current State: 99:[82, 87, 7, 64], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [7, 64, 5]
Generated Node #2: [7, 64, 5] from Operation: 87-82=5
Current State: 99:[7, 64, 5], Operations: ['87-82=5']
Exploring Operation: 7*5=35, Resulting Numbers: [64, 35]
Generated Node #3: [64, 35] from Operation: 7*5=35
Current State: 99:[64, 35], Operations: ['87-82=5', '7*5=35']
Exploring Operation: 64+35=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
59,
6,
40,
5
] | 65 | [
"59-6=53",
"53-40=13",
"5*13=65"
] | Current State: 65:[59, 6, 40, 5], Operations: []
Exploring Operation: 59-6=53, Resulting Numbers: [40, 5, 53]
Generated Node #2: [40, 5, 53] from Operation: 59-6=53
Current State: 65:[40, 5, 53], Operations: ['59-6=53']
Exploring Operation: 53-40=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 53-40=13
Current State: 65:[5, 13], Operations: ['59-6=53', '53-40=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
56,
49,
34,
16
] | 78 | [
"56-49=7",
"16*7=112",
"112-34=78"
] | Current State: 78:[56, 49, 34, 16], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [34, 16, 7]
Generated Node #2: [34, 16, 7] from Operation: 56-49=7
Current State: 78:[34, 16, 7], Operations: ['56-49=7']
Exploring Operation: 16*7=112, Resulting Numbers: [34, 112]
Generated Node #3: [34, 112] from Operation: 16*7=112
Current State: 78:[34, 112], Operations: ['56-49=7', '16*7=112']
Exploring Operation: 112-34=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
18,
34,
47,
31
] | 41 | [
"34-31=3",
"18/3=6",
"47-6=41"
] | Current State: 41:[18, 34, 47, 31], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [18, 47, 3]
Generated Node #2: [18, 47, 3] from Operation: 34-31=3
Current State: 41:[18, 47, 3], Operations: ['34-31=3']
Exploring Operation: 18/3=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 18/3=6
Current State: 41:[47, 6], Operations: ['34-31=3', '18/3=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
51,
21,
55,
87
] | 58 | [
"55-21=34",
"87*34=2958",
"2958/51=58"
] | Current State: 58:[51, 21, 55, 87], Operations: []
Exploring Operation: 55-21=34, Resulting Numbers: [51, 87, 34]
Generated Node #2: [51, 87, 34] from Operation: 55-21=34
Current State: 58:[51, 87, 34], Operations: ['55-21=34']
Exploring Operation: 87*34=2958, Resulting Numbers: [51, 2958]
Generated Node #3: [51, 2958] from Operation: 87*34=2958
Current State: 58:[51, 2958], Operations: ['55-21=34', '87*34=2958']
Exploring Operation: 2958/51=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
78,
38,
84,
14
] | 25 | [
"78*14=1092",
"1092/84=13",
"38-13=25"
] | Current State: 25:[78, 38, 84, 14], Operations: []
Exploring Operation: 78*14=1092, Resulting Numbers: [38, 84, 1092]
Generated Node #2: [38, 84, 1092] from Operation: 78*14=1092
Current State: 25:[38, 84, 1092], Operations: ['78*14=1092']
Exploring Operation: 1092/84=13, Resulting Numbers: [38, 13]
Generated Node #3: [38, 13] from Operation: 1092/84=13
Current State: 25:[38, 13], Operations: ['78*14=1092', '1092/84=13']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
19,
72,
18,
2
] | 89 | [
"72-19=53",
"18*2=36",
"53+36=89"
] | Current State: 89:[19, 72, 18, 2], Operations: []
Exploring Operation: 72-19=53, Resulting Numbers: [18, 2, 53]
Generated Node #2: [18, 2, 53] from Operation: 72-19=53
Current State: 89:[18, 2, 53], Operations: ['72-19=53']
Exploring Operation: 18*2=36, Resulting Numbers: [53, 36]
Generated Node #3: [53, 36] from Operation: 18*2=36
Current State: 89:[53, 36], Operations: ['72-19=53', '18*2=36']
Exploring Operation: 53+36=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
31,
92,
7,
6
] | 83 | [
"31-6=25",
"7*25=175",
"175-92=83"
] | Current State: 83:[31, 92, 7, 6], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [92, 7, 25]
Generated Node #2: [92, 7, 25] from Operation: 31-6=25
Current State: 83:[92, 7, 25], Operations: ['31-6=25']
Exploring Operation: 7*25=175, Resulting Numbers: [92, 175]
Generated Node #3: [92, 175] from Operation: 7*25=175
Current State: 83:[92, 175], Operations: ['31-6=25', '7*25=175']
Exploring Operation: 175-92=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
76,
67,
99,
10
] | 100 | [
"76-67=9",
"99+10=109",
"109-9=100"
] | Current State: 100:[76, 67, 99, 10], Operations: []
Exploring Operation: 76-67=9, Resulting Numbers: [99, 10, 9]
Generated Node #2: [99, 10, 9] from Operation: 76-67=9
Current State: 100:[99, 10, 9], Operations: ['76-67=9']
Exploring Operation: 99+10=109, Resulting Numbers: [9, 109]
Generated Node #3: [9, 109] from Operation: 99+10=109
Current State: 100:[9, 109], Operations: ['76-67=9', '99+10=109']
Exploring Operation: 109-9=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
35,
45,
74,
13
] | 15 | [
"74-35=39",
"45*13=585",
"585/39=15"
] | Current State: 15:[35, 45, 74, 13], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [45, 13, 39]
Generated Node #2: [45, 13, 39] from Operation: 74-35=39
Current State: 15:[45, 13, 39], Operations: ['74-35=39']
Exploring Operation: 45*13=585, Resulting Numbers: [39, 585]
Generated Node #3: [39, 585] from Operation: 45*13=585
Current State: 15:[39, 585], Operations: ['74-35=39', '45*13=585']
Exploring Operation: 585/39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
72,
47,
34,
4
] | 63 | [
"72-47=25",
"34+4=38",
"25+38=63"
] | Current State: 63:[72, 47, 34, 4], Operations: []
Exploring Operation: 72-47=25, Resulting Numbers: [34, 4, 25]
Generated Node #2: [34, 4, 25] from Operation: 72-47=25
Current State: 63:[34, 4, 25], Operations: ['72-47=25']
Exploring Operation: 34+4=38, Resulting Numbers: [25, 38]
Generated Node #3: [25, 38] from Operation: 34+4=38
Current State: 63:[25, 38], Operations: ['72-47=25', '34+4=38']
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
4,
80,
40,
32
] | 12 | [
"4+80=84",
"40+32=72",
"84-72=12"
] | Current State: 12:[4, 80, 40, 32], Operations: []
Exploring Operation: 4+80=84, Resulting Numbers: [40, 32, 84]
Generated Node #2: [40, 32, 84] from Operation: 4+80=84
Current State: 12:[40, 32, 84], Operations: ['4+80=84']
Exploring Operation: 40+32=72, Resulting Numbers: [84, 72]
Generated Node #3: [84, 72] from Operation: 40+32=72
Current State: 12:[84, 72], Operations: ['4+80=84', '40+32=72']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
87,
80,
92,
87
] | 71 | [
"92-87=5",
"80/5=16",
"87-16=71"
] | Current State: 71:[87, 80, 92, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [80, 5]
Generated Node #2: [80, 5] from Operation: 92-87=5
Current State: 71:[80, 5], Operations: ['92-87=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,71 equal: Goal Reached
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
35,
18,
44,
65
] | 38 | [
"35-18=17",
"65-44=21",
"17+21=38"
] | Current State: 38:[35, 18, 44, 65], Operations: []
Exploring Operation: 35-18=17, Resulting Numbers: [44, 65, 17]
Generated Node #2: [44, 65, 17] from Operation: 35-18=17
Current State: 38:[44, 65, 17], Operations: ['35-18=17']
Exploring Operation: 65-44=21, Resulting Numbers: [17, 21]
Generated Node #3: [17, 21] from Operation: 65-44=21
Current State: 38:[17, 21], Operations: ['35-18=17', '65-44=21']
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
77,
98,
98,
68
] | 68 | [
"98-98=0",
"77*0=0",
"68+0=68"
] | Current State: 68:[77, 98, 98, 68], Operations: []
Exploring Operation: 98-98=0, Resulting Numbers: [77, 68, 0]
Generated Node #2: [77, 68, 0] from Operation: 98-98=0
Current State: 68:[77, 68, 0], Operations: ['98-98=0']
Exploring Operation: 77*0=0, Resulting Numbers: [68, 0]
Generated Node #3: [68, 0] from Operation: 77*0=0
Current State: 68:[68, 0], Operations: ['98-98=0', '77*0=0']
Exploring Operation: 68+0=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
35,
14,
7,
86
] | 72 | [
"35-14=21",
"7+86=93",
"93-21=72"
] | Current State: 72:[35, 14, 7, 86], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [7, 86, 21]
Generated Node #2: [7, 86, 21] from Operation: 35-14=21
Current State: 72:[7, 86, 21], Operations: ['35-14=21']
Exploring Operation: 7+86=93, Resulting Numbers: [21, 93]
Generated Node #3: [21, 93] from Operation: 7+86=93
Current State: 72:[21, 93], Operations: ['35-14=21', '7+86=93']
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
65,
23,
27,
51
] | 36 | [
"65-23=42",
"27+51=78",
"78-42=36"
] | Current State: 36:[65, 23, 27, 51], Operations: []
Exploring Operation: 65-23=42, Resulting Numbers: [27, 51, 42]
Generated Node #2: [27, 51, 42] from Operation: 65-23=42
Current State: 36:[27, 51, 42], Operations: ['65-23=42']
Exploring Operation: 27+51=78, Resulting Numbers: [42, 78]
Generated Node #3: [42, 78] from Operation: 27+51=78
Current State: 36:[42, 78], Operations: ['65-23=42', '27+51=78']
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
2,
42,
44,
5
] | 41 | [
"2*44=88",
"42+5=47",
"88-47=41"
] | Current State: 41:[2, 42, 44, 5], Operations: []
Exploring Operation: 2*44=88, Resulting Numbers: [42, 5, 88]
Generated Node #2: [42, 5, 88] from Operation: 2*44=88
Current State: 41:[42, 5, 88], Operations: ['2*44=88']
Exploring Operation: 42+5=47, Resulting Numbers: [88, 47]
Generated Node #3: [88, 47] from Operation: 42+5=47
Current State: 41:[88, 47], Operations: ['2*44=88', '42+5=47']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
12,
59,
8,
41
] | 96 | [
"59-12=47",
"8+41=49",
"47+49=96"
] | Current State: 96:[12, 59, 8, 41], Operations: []
Exploring Operation: 59-12=47, Resulting Numbers: [8, 41, 47]
Generated Node #2: [8, 41, 47] from Operation: 59-12=47
Current State: 96:[8, 41, 47], Operations: ['59-12=47']
Exploring Operation: 8+41=49, Resulting Numbers: [47, 49]
Generated Node #3: [47, 49] from Operation: 8+41=49
Current State: 96:[47, 49], Operations: ['59-12=47', '8+41=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
76,
11,
92,
97
] | 21 | [
"97-92=5",
"11*5=55",
"76-55=21"
] | Current State: 21:[76, 11, 92, 97], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [76, 11, 5]
Generated Node #2: [76, 11, 5] from Operation: 97-92=5
Current State: 21:[76, 11, 5], Operations: ['97-92=5']
Exploring Operation: 11*5=55, Resulting Numbers: [76, 55]
Generated Node #3: [76, 55] from Operation: 11*5=55
Current State: 21:[76, 55], Operations: ['97-92=5', '11*5=55']
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
74,
7,
80,
53
] | 53 | [
"74+7=81",
"81-80=1",
"53*1=53"
] | Current State: 53:[74, 7, 80, 53], Operations: []
Exploring Operation: 74+7=81, Resulting Numbers: [80, 53, 81]
Generated Node #2: [80, 53, 81] from Operation: 74+7=81
Current State: 53:[80, 53, 81], Operations: ['74+7=81']
Exploring Operation: 81-80=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 81-80=1
Current State: 53:[53, 1], Operations: ['74+7=81', '81-80=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
21,
72,
14,
3
] | 78 | [
"21*14=294",
"72*3=216",
"294-216=78"
] | Current State: 78:[21, 72, 14, 3], Operations: []
Exploring Operation: 21*14=294, Resulting Numbers: [72, 3, 294]
Generated Node #2: [72, 3, 294] from Operation: 21*14=294
Current State: 78:[72, 3, 294], Operations: ['21*14=294']
Exploring Operation: 72*3=216, Resulting Numbers: [294, 216]
Generated Node #3: [294, 216] from Operation: 72*3=216
Current State: 78:[294, 216], Operations: ['21*14=294', '72*3=216']
Exploring Operation: 294-216=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
18,
41,
4,
28
] | 89 | [
"41-18=23",
"4*28=112",
"112-23=89"
] | Current State: 89:[18, 41, 4, 28], Operations: []
Exploring Operation: 41-18=23, Resulting Numbers: [4, 28, 23]
Generated Node #2: [4, 28, 23] from Operation: 41-18=23
Current State: 89:[4, 28, 23], Operations: ['41-18=23']
Exploring Operation: 4*28=112, Resulting Numbers: [23, 112]
Generated Node #3: [23, 112] from Operation: 4*28=112
Current State: 89:[23, 112], Operations: ['41-18=23', '4*28=112']
Exploring Operation: 112-23=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
62,
76,
4,
99
] | 43 | [
"62+76=138",
"99-4=95",
"138-95=43"
] | Current State: 43:[62, 76, 4, 99], Operations: []
Exploring Operation: 62+76=138, Resulting Numbers: [4, 99, 138]
Generated Node #2: [4, 99, 138] from Operation: 62+76=138
Current State: 43:[4, 99, 138], Operations: ['62+76=138']
Exploring Operation: 99-4=95, Resulting Numbers: [138, 95]
Generated Node #3: [138, 95] from Operation: 99-4=95
Current State: 43:[138, 95], Operations: ['62+76=138', '99-4=95']
Exploring Operation: 138-95=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
93,
26,
51,
93
] | 25 | [
"93+26=119",
"51+93=144",
"144-119=25"
] | Current State: 25:[93, 26, 51, 93], Operations: []
Exploring Operation: 93+26=119, Resulting Numbers: [51, 119]
Generated Node #2: [51, 119] from Operation: 93+26=119
Current State: 25:[51, 119], Operations: ['93+26=119']
Exploring Operation: 51+93=144, Resulting Numbers: [119, 144]
Generated Node #3: [119, 144] from Operation: 51+93=144
Current State: 25:[119, 144], Operations: ['93+26=119', '51+93=144']
Exploring Operation: 144-119=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
25,
44,
16,
11
] | 37 | [
"25+16=41",
"44/11=4",
"41-4=37"
] | Current State: 37:[25, 44, 16, 11], Operations: []
Exploring Operation: 25+16=41, Resulting Numbers: [44, 11, 41]
Generated Node #2: [44, 11, 41] from Operation: 25+16=41
Current State: 37:[44, 11, 41], Operations: ['25+16=41']
Exploring Operation: 44/11=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 44/11=4
Current State: 37:[41, 4], Operations: ['25+16=41', '44/11=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
86,
77,
43,
8
] | 71 | [
"86/43=2",
"77-8=69",
"2+69=71"
] | Current State: 71:[86, 77, 43, 8], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [77, 8, 2]
Generated Node #2: [77, 8, 2] from Operation: 86/43=2
Current State: 71:[77, 8, 2], Operations: ['86/43=2']
Exploring Operation: 77-8=69, Resulting Numbers: [2, 69]
Generated Node #3: [2, 69] from Operation: 77-8=69
Current State: 71:[2, 69], Operations: ['86/43=2', '77-8=69']
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
52,
54,
40,
16
] | 60 | [
"52-16=36",
"54*40=2160",
"2160/36=60"
] | Current State: 60:[52, 54, 40, 16], Operations: []
Exploring Operation: 52-16=36, Resulting Numbers: [54, 40, 36]
Generated Node #2: [54, 40, 36] from Operation: 52-16=36
Current State: 60:[54, 40, 36], Operations: ['52-16=36']
Exploring Operation: 54*40=2160, Resulting Numbers: [36, 2160]
Generated Node #3: [36, 2160] from Operation: 54*40=2160
Current State: 60:[36, 2160], Operations: ['52-16=36', '54*40=2160']
Exploring Operation: 2160/36=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
35,
66,
62
] | 47 | [
"66-62=4",
"3*4=12",
"35+12=47"
] | Current State: 47:[3, 35, 66, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [3, 35, 4]
Generated Node #2: [3, 35, 4] from Operation: 66-62=4
Current State: 47:[3, 35, 4], Operations: ['66-62=4']
Exploring Operation: 3*4=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 3*4=12
Current State: 47:[35, 12], Operations: ['66-62=4', '3*4=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
88,
54,
1,
4
] | 32 | [
"88*1=88",
"88/4=22",
"54-22=32"
] | Current State: 32:[88, 54, 1, 4], Operations: []
Exploring Operation: 88*1=88, Resulting Numbers: [54, 4, 88]
Generated Node #2: [54, 4, 88] from Operation: 88*1=88
Current State: 32:[54, 4, 88], Operations: ['88*1=88']
Exploring Operation: 88/4=22, Resulting Numbers: [54, 22]
Generated Node #3: [54, 22] from Operation: 88/4=22
Current State: 32:[54, 22], Operations: ['88*1=88', '88/4=22']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
42,
10,
80,
47
] | 40 | [
"47-42=5",
"80/10=8",
"5*8=40"
] | Current State: 40:[42, 10, 80, 47], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [10, 80, 5]
Generated Node #2: [10, 80, 5] from Operation: 47-42=5
Current State: 40:[10, 80, 5], Operations: ['47-42=5']
Exploring Operation: 80/10=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 80/10=8
Current State: 40:[5, 8], Operations: ['47-42=5', '80/10=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
4,
26,
99,
8
] | 93 | [
"4*8=32",
"26+99=125",
"125-32=93"
] | Current State: 93:[4, 26, 99, 8], Operations: []
Exploring Operation: 4*8=32, Resulting Numbers: [26, 99, 32]
Generated Node #2: [26, 99, 32] from Operation: 4*8=32
Current State: 93:[26, 99, 32], Operations: ['4*8=32']
Exploring Operation: 26+99=125, Resulting Numbers: [32, 125]
Generated Node #3: [32, 125] from Operation: 26+99=125
Current State: 93:[32, 125], Operations: ['4*8=32', '26+99=125']
Exploring Operation: 125-32=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
38,
76,
47,
70
] | 82 | [
"76/38=2",
"70/2=35",
"47+35=82"
] | Current State: 82:[38, 76, 47, 70], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [47, 70, 2]
Generated Node #2: [47, 70, 2] from Operation: 76/38=2
Current State: 82:[47, 70, 2], Operations: ['76/38=2']
Exploring Operation: 70/2=35, Resulting Numbers: [47, 35]
Generated Node #3: [47, 35] from Operation: 70/2=35
Current State: 82:[47, 35], Operations: ['76/38=2', '70/2=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
85,
21,
56,
88
] | 38 | [
"85+21=106",
"56+88=144",
"144-106=38"
] | Current State: 38:[85, 21, 56, 88], Operations: []
Exploring Operation: 85+21=106, Resulting Numbers: [56, 88, 106]
Generated Node #2: [56, 88, 106] from Operation: 85+21=106
Current State: 38:[56, 88, 106], Operations: ['85+21=106']
Exploring Operation: 56+88=144, Resulting Numbers: [106, 144]
Generated Node #3: [106, 144] from Operation: 56+88=144
Current State: 38:[106, 144], Operations: ['85+21=106', '56+88=144']
Exploring Operation: 144-106=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
66,
54,
62,
11
] | 70 | [
"66-54=12",
"11*12=132",
"132-62=70"
] | Current State: 70:[66, 54, 62, 11], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [62, 11, 12]
Generated Node #2: [62, 11, 12] from Operation: 66-54=12
Current State: 70:[62, 11, 12], Operations: ['66-54=12']
Exploring Operation: 11*12=132, Resulting Numbers: [62, 132]
Generated Node #3: [62, 132] from Operation: 11*12=132
Current State: 70:[62, 132], Operations: ['66-54=12', '11*12=132']
Exploring Operation: 132-62=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
61,
37,
30,
72
] | 10 | [
"61-37=24",
"30*24=720",
"720/72=10"
] | Current State: 10:[61, 37, 30, 72], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [30, 72, 24]
Generated Node #2: [30, 72, 24] from Operation: 61-37=24
Current State: 10:[30, 72, 24], Operations: ['61-37=24']
Exploring Operation: 30*24=720, Resulting Numbers: [72, 720]
Generated Node #3: [72, 720] from Operation: 30*24=720
Current State: 10:[72, 720], Operations: ['61-37=24', '30*24=720']
Exploring Operation: 720/72=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
6,
16,
60,
84
] | 54 | [
"60+84=144",
"6*144=864",
"864/16=54"
] | Current State: 54:[6, 16, 60, 84], Operations: []
Exploring Operation: 60+84=144, Resulting Numbers: [6, 16, 144]
Generated Node #2: [6, 16, 144] from Operation: 60+84=144
Current State: 54:[6, 16, 144], Operations: ['60+84=144']
Exploring Operation: 6*144=864, Resulting Numbers: [16, 864]
Generated Node #3: [16, 864] from Operation: 6*144=864
Current State: 54:[16, 864], Operations: ['60+84=144', '6*144=864']
Exploring Operation: 864/16=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
68,
91,
4,
19
] | 86 | [
"91-19=72",
"72/4=18",
"68+18=86"
] | Current State: 86:[68, 91, 4, 19], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [68, 4, 72]
Generated Node #2: [68, 4, 72] from Operation: 91-19=72
Current State: 86:[68, 4, 72], Operations: ['91-19=72']
Exploring Operation: 72/4=18, Resulting Numbers: [68, 18]
Generated Node #3: [68, 18] from Operation: 72/4=18
Current State: 86:[68, 18], Operations: ['91-19=72', '72/4=18']
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
87,
74,
9,
42
] | 46 | [
"87-74=13",
"42-9=33",
"13+33=46"
] | Current State: 46:[87, 74, 9, 42], Operations: []
Exploring Operation: 87-74=13, Resulting Numbers: [9, 42, 13]
Generated Node #2: [9, 42, 13] from Operation: 87-74=13
Current State: 46:[9, 42, 13], Operations: ['87-74=13']
Exploring Operation: 42-9=33, Resulting Numbers: [13, 33]
Generated Node #3: [13, 33] from Operation: 42-9=33
Current State: 46:[13, 33], Operations: ['87-74=13', '42-9=33']
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
20,
64,
4,
44
] | 40 | [
"20-4=16",
"64/16=4",
"44-4=40"
] | Current State: 40:[20, 64, 4, 44], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [64, 44, 16]
Generated Node #2: [64, 44, 16] from Operation: 20-4=16
Current State: 40:[64, 44, 16], Operations: ['20-4=16']
Exploring Operation: 64/16=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 64/16=4
Current State: 40:[44, 4], Operations: ['20-4=16', '64/16=4']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
9,
16,
95,
51
] | 69 | [
"9+16=25",
"95-51=44",
"25+44=69"
] | Current State: 69:[9, 16, 95, 51], Operations: []
Exploring Operation: 9+16=25, Resulting Numbers: [95, 51, 25]
Generated Node #2: [95, 51, 25] from Operation: 9+16=25
Current State: 69:[95, 51, 25], Operations: ['9+16=25']
Exploring Operation: 95-51=44, Resulting Numbers: [25, 44]
Generated Node #3: [25, 44] from Operation: 95-51=44
Current State: 69:[25, 44], Operations: ['9+16=25', '95-51=44']
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
68,
22,
2,
64
] | 86 | [
"68-64=4",
"22*4=88",
"88-2=86"
] | Current State: 86:[68, 22, 2, 64], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [22, 2, 4]
Generated Node #2: [22, 2, 4] from Operation: 68-64=4
Current State: 86:[22, 2, 4], Operations: ['68-64=4']
Exploring Operation: 22*4=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 22*4=88
Current State: 86:[2, 88], Operations: ['68-64=4', '22*4=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
49,
30,
72,
60
] | 26 | [
"49*60=2940",
"2940/30=98",
"98-72=26"
] | Current State: 26:[49, 30, 72, 60], Operations: []
Exploring Operation: 49*60=2940, Resulting Numbers: [30, 72, 2940]
Generated Node #2: [30, 72, 2940] from Operation: 49*60=2940
Current State: 26:[30, 72, 2940], Operations: ['49*60=2940']
Exploring Operation: 2940/30=98, Resulting Numbers: [72, 98]
Generated Node #3: [72, 98] from Operation: 2940/30=98
Current State: 26:[72, 98], Operations: ['49*60=2940', '2940/30=98']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
78,
3,
42,
56
] | 61 | [
"78-3=75",
"56-42=14",
"75-14=61"
] | Current State: 61:[78, 3, 42, 56], Operations: []
Exploring Operation: 78-3=75, Resulting Numbers: [42, 56, 75]
Generated Node #2: [42, 56, 75] from Operation: 78-3=75
Current State: 61:[42, 56, 75], Operations: ['78-3=75']
Exploring Operation: 56-42=14, Resulting Numbers: [75, 14]
Generated Node #3: [75, 14] from Operation: 56-42=14
Current State: 61:[75, 14], Operations: ['78-3=75', '56-42=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
52,
33,
41,
35
] | 22 | [
"52-41=11",
"35-33=2",
"11*2=22"
] | Current State: 22:[52, 33, 41, 35], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [33, 35, 11]
Generated Node #2: [33, 35, 11] from Operation: 52-41=11
Current State: 22:[33, 35, 11], Operations: ['52-41=11']
Exploring Operation: 35-33=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 35-33=2
Current State: 22:[11, 2], Operations: ['52-41=11', '35-33=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
85,
34,
73
] | 64 | [
"18+85=103",
"73-34=39",
"103-39=64"
] | Current State: 64:[18, 85, 34, 73], Operations: []
Exploring Operation: 18+85=103, Resulting Numbers: [34, 73, 103]
Generated Node #2: [34, 73, 103] from Operation: 18+85=103
Current State: 64:[34, 73, 103], Operations: ['18+85=103']
Exploring Operation: 73-34=39, Resulting Numbers: [103, 39]
Generated Node #3: [103, 39] from Operation: 73-34=39
Current State: 64:[103, 39], Operations: ['18+85=103', '73-34=39']
Exploring Operation: 103-39=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
33,
11,
78,
22
] | 43 | [
"78-33=45",
"22/11=2",
"45-2=43"
] | Current State: 43:[33, 11, 78, 22], Operations: []
Exploring Operation: 78-33=45, Resulting Numbers: [11, 22, 45]
Generated Node #2: [11, 22, 45] from Operation: 78-33=45
Current State: 43:[11, 22, 45], Operations: ['78-33=45']
Exploring Operation: 22/11=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 22/11=2
Current State: 43:[45, 2], Operations: ['78-33=45', '22/11=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
51,
57,
38,
24
] | 58 | [
"51*38=1938",
"1938/57=34",
"24+34=58"
] | Current State: 58:[51, 57, 38, 24], Operations: []
Exploring Operation: 51*38=1938, Resulting Numbers: [57, 24, 1938]
Generated Node #2: [57, 24, 1938] from Operation: 51*38=1938
Current State: 58:[57, 24, 1938], Operations: ['51*38=1938']
Exploring Operation: 1938/57=34, Resulting Numbers: [24, 34]
Generated Node #3: [24, 34] from Operation: 1938/57=34
Current State: 58:[24, 34], Operations: ['51*38=1938', '1938/57=34']
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
60,
55,
65
] | 57 | [
"65-55=10",
"60/10=6",
"63-6=57"
] | Current State: 57:[63, 60, 55, 65], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [63, 60, 10]
Generated Node #2: [63, 60, 10] from Operation: 65-55=10
Current State: 57:[63, 60, 10], Operations: ['65-55=10']
Exploring Operation: 60/10=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 60/10=6
Current State: 57:[63, 6], Operations: ['65-55=10', '60/10=6']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
77,
39,
42,
63
] | 95 | [
"77+39=116",
"63-42=21",
"116-21=95"
] | Current State: 95:[77, 39, 42, 63], Operations: []
Exploring Operation: 77+39=116, Resulting Numbers: [42, 63, 116]
Generated Node #2: [42, 63, 116] from Operation: 77+39=116
Current State: 95:[42, 63, 116], Operations: ['77+39=116']
Exploring Operation: 63-42=21, Resulting Numbers: [116, 21]
Generated Node #3: [116, 21] from Operation: 63-42=21
Current State: 95:[116, 21], Operations: ['77+39=116', '63-42=21']
Exploring Operation: 116-21=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
30,
4,
92,
70
] | 98 | [
"30*4=120",
"92-70=22",
"120-22=98"
] | Current State: 98:[30, 4, 92, 70], Operations: []
Exploring Operation: 30*4=120, Resulting Numbers: [92, 70, 120]
Generated Node #2: [92, 70, 120] from Operation: 30*4=120
Current State: 98:[92, 70, 120], Operations: ['30*4=120']
Exploring Operation: 92-70=22, Resulting Numbers: [120, 22]
Generated Node #3: [120, 22] from Operation: 92-70=22
Current State: 98:[120, 22], Operations: ['30*4=120', '92-70=22']
Exploring Operation: 120-22=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
40,
9,
61,
16
] | 45 | [
"61-40=21",
"21-16=5",
"9*5=45"
] | Current State: 45:[40, 9, 61, 16], Operations: []
Exploring Operation: 61-40=21, Resulting Numbers: [9, 16, 21]
Generated Node #2: [9, 16, 21] from Operation: 61-40=21
Current State: 45:[9, 16, 21], Operations: ['61-40=21']
Exploring Operation: 21-16=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 21-16=5
Current State: 45:[9, 5], Operations: ['61-40=21', '21-16=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
59,
27,
2,
90
] | 23 | [
"90-59=31",
"27*2=54",
"54-31=23"
] | Current State: 23:[59, 27, 2, 90], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [27, 2, 31]
Generated Node #2: [27, 2, 31] from Operation: 90-59=31
Current State: 23:[27, 2, 31], Operations: ['90-59=31']
Exploring Operation: 27*2=54, Resulting Numbers: [31, 54]
Generated Node #3: [31, 54] from Operation: 27*2=54
Current State: 23:[31, 54], Operations: ['90-59=31', '27*2=54']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
6,
56,
48
] | 11 | [
"18/6=3",
"56-48=8",
"3+8=11"
] | Current State: 11:[18, 6, 56, 48], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [56, 48, 3]
Generated Node #2: [56, 48, 3] from Operation: 18/6=3
Current State: 11:[56, 48, 3], Operations: ['18/6=3']
Exploring Operation: 56-48=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 56-48=8
Current State: 11:[3, 8], Operations: ['18/6=3', '56-48=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
40,
18,
38,
10
] | 85 | [
"40*38=1520",
"10+1520=1530",
"1530/18=85"
] | Current State: 85:[40, 18, 38, 10], Operations: []
Exploring Operation: 40*38=1520, Resulting Numbers: [18, 10, 1520]
Generated Node #2: [18, 10, 1520] from Operation: 40*38=1520
Current State: 85:[18, 10, 1520], Operations: ['40*38=1520']
Exploring Operation: 10+1520=1530, Resulting Numbers: [18, 1530]
Generated Node #3: [18, 1530] from Operation: 10+1520=1530
Current State: 85:[18, 1530], Operations: ['40*38=1520', '10+1520=1530']
Exploring Operation: 1530/18=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
70,
71,
29,
30
] | 21 | [
"70*30=2100",
"71+29=100",
"2100/100=21"
] | Current State: 21:[70, 71, 29, 30], Operations: []
Exploring Operation: 70*30=2100, Resulting Numbers: [71, 29, 2100]
Generated Node #2: [71, 29, 2100] from Operation: 70*30=2100
Current State: 21:[71, 29, 2100], Operations: ['70*30=2100']
Exploring Operation: 71+29=100, Resulting Numbers: [2100, 100]
Generated Node #3: [2100, 100] from Operation: 71+29=100
Current State: 21:[2100, 100], Operations: ['70*30=2100', '71+29=100']
Exploring Operation: 2100/100=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
42,
28,
12,
14
] | 39 | [
"12+14=26",
"42*26=1092",
"1092/28=39"
] | Current State: 39:[42, 28, 12, 14], Operations: []
Exploring Operation: 12+14=26, Resulting Numbers: [42, 28, 26]
Generated Node #2: [42, 28, 26] from Operation: 12+14=26
Current State: 39:[42, 28, 26], Operations: ['12+14=26']
Exploring Operation: 42*26=1092, Resulting Numbers: [28, 1092]
Generated Node #3: [28, 1092] from Operation: 42*26=1092
Current State: 39:[28, 1092], Operations: ['12+14=26', '42*26=1092']
Exploring Operation: 1092/28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
19,
66,
44,
78
] | 51 | [
"19+66=85",
"78-44=34",
"85-34=51"
] | Current State: 51:[19, 66, 44, 78], Operations: []
Exploring Operation: 19+66=85, Resulting Numbers: [44, 78, 85]
Generated Node #2: [44, 78, 85] from Operation: 19+66=85
Current State: 51:[44, 78, 85], Operations: ['19+66=85']
Exploring Operation: 78-44=34, Resulting Numbers: [85, 34]
Generated Node #3: [85, 34] from Operation: 78-44=34
Current State: 51:[85, 34], Operations: ['19+66=85', '78-44=34']
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
90,
3,
94,
18
] | 42 | [
"94-90=4",
"18-4=14",
"3*14=42"
] | Current State: 42:[90, 3, 94, 18], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [3, 18, 4]
Generated Node #2: [3, 18, 4] from Operation: 94-90=4
Current State: 42:[3, 18, 4], Operations: ['94-90=4']
Exploring Operation: 18-4=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 18-4=14
Current State: 42:[3, 14], Operations: ['94-90=4', '18-4=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
24,
90,
64,
73
] | 14 | [
"73-64=9",
"90/9=10",
"24-10=14"
] | Current State: 14:[24, 90, 64, 73], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [24, 90, 9]
Generated Node #2: [24, 90, 9] from Operation: 73-64=9
Current State: 14:[24, 90, 9], Operations: ['73-64=9']
Exploring Operation: 90/9=10, Resulting Numbers: [24, 10]
Generated Node #3: [24, 10] from Operation: 90/9=10
Current State: 14:[24, 10], Operations: ['73-64=9', '90/9=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
51,
53,
99,
2
] | 10 | [
"51+53=104",
"104-99=5",
"2*5=10"
] | Current State: 10:[51, 53, 99, 2], Operations: []
Exploring Operation: 51+53=104, Resulting Numbers: [99, 2, 104]
Generated Node #2: [99, 2, 104] from Operation: 51+53=104
Current State: 10:[99, 2, 104], Operations: ['51+53=104']
Exploring Operation: 104-99=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 104-99=5
Current State: 10:[2, 5], Operations: ['51+53=104', '104-99=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
47,
93,
86,
32
] | 100 | [
"93-47=46",
"86-32=54",
"46+54=100"
] | Current State: 100:[47, 93, 86, 32], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [86, 32, 46]
Generated Node #2: [86, 32, 46] from Operation: 93-47=46
Current State: 100:[86, 32, 46], Operations: ['93-47=46']
Exploring Operation: 86-32=54, Resulting Numbers: [46, 54]
Generated Node #3: [46, 54] from Operation: 86-32=54
Current State: 100:[46, 54], Operations: ['93-47=46', '86-32=54']
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
64,
25,
74,
52
] | 17 | [
"64-25=39",
"74-52=22",
"39-22=17"
] | Current State: 17:[64, 25, 74, 52], Operations: []
Exploring Operation: 64-25=39, Resulting Numbers: [74, 52, 39]
Generated Node #2: [74, 52, 39] from Operation: 64-25=39
Current State: 17:[74, 52, 39], Operations: ['64-25=39']
Exploring Operation: 74-52=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 74-52=22
Current State: 17:[39, 22], Operations: ['64-25=39', '74-52=22']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
49,
45,
14,
21
] | 77 | [
"49-45=4",
"14*4=56",
"21+56=77"
] | Current State: 77:[49, 45, 14, 21], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [14, 21, 4]
Generated Node #2: [14, 21, 4] from Operation: 49-45=4
Current State: 77:[14, 21, 4], Operations: ['49-45=4']
Exploring Operation: 14*4=56, Resulting Numbers: [21, 56]
Generated Node #3: [21, 56] from Operation: 14*4=56
Current State: 77:[21, 56], Operations: ['49-45=4', '14*4=56']
Exploring Operation: 21+56=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
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