nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
16,
98,
3,
57
] | 75 | [
"98-16=82",
"82-57=25",
"3*25=75"
] | Current State: 75:[16, 98, 3, 57], Operations: []
Exploring Operation: 98-16=82, Resulting Numbers: [3, 57, 82]
Generated Node #2: [3, 57, 82] from Operation: 98-16=82
Current State: 75:[3, 57, 82], Operations: ['98-16=82']
Exploring Operation: 82-57=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 82-57=25
Current State: 75:[3, 25], Operations: ['98-16=82', '82-57=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
24,
29,
90,
2
] | 98 | [
"24+29=53",
"90/2=45",
"53+45=98"
] | Current State: 98:[24, 29, 90, 2], Operations: []
Exploring Operation: 24+29=53, Resulting Numbers: [90, 2, 53]
Generated Node #2: [90, 2, 53] from Operation: 24+29=53
Current State: 98:[90, 2, 53], Operations: ['24+29=53']
Exploring Operation: 90/2=45, Resulting Numbers: [53, 45]
Generated Node #3: [53, 45] from Operation: 90/2=45
Current State: 98:[53, 45], Operations: ['24+29=53', '90/2=45']
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
3,
77,
53,
1
] | 69 | [
"77-53=24",
"24-1=23",
"3*23=69"
] | Current State: 69:[3, 77, 53, 1], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [3, 1, 24]
Generated Node #2: [3, 1, 24] from Operation: 77-53=24
Current State: 69:[3, 1, 24], Operations: ['77-53=24']
Exploring Operation: 24-1=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 24-1=23
Current State: 69:[3, 23], Operations: ['77-53=24', '24-1=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
14,
61,
7,
30
] | 27 | [
"61+30=91",
"91/7=13",
"14+13=27"
] | Current State: 27:[14, 61, 7, 30], Operations: []
Exploring Operation: 61+30=91, Resulting Numbers: [14, 7, 91]
Generated Node #2: [14, 7, 91] from Operation: 61+30=91
Current State: 27:[14, 7, 91], Operations: ['61+30=91']
Exploring Operation: 91/7=13, Resulting Numbers: [14, 13]
Generated Node #3: [14, 13] from Operation: 91/7=13
Current State: 27:[14, 13], Operations: ['61+30=91', '91/7=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
72,
57,
70,
11
] | 36 | [
"70-57=13",
"13-11=2",
"72/2=36"
] | Current State: 36:[72, 57, 70, 11], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [72, 11, 13]
Generated Node #2: [72, 11, 13] from Operation: 70-57=13
Current State: 36:[72, 11, 13], Operations: ['70-57=13']
Exploring Operation: 13-11=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 13-11=2
Current State: 36:[72, 2], Operations: ['70-57=13', '13-11=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
42,
73,
28,
47
] | 50 | [
"73-42=31",
"47-28=19",
"31+19=50"
] | Current State: 50:[42, 73, 28, 47], Operations: []
Exploring Operation: 73-42=31, Resulting Numbers: [28, 47, 31]
Generated Node #2: [28, 47, 31] from Operation: 73-42=31
Current State: 50:[28, 47, 31], Operations: ['73-42=31']
Exploring Operation: 47-28=19, Resulting Numbers: [31, 19]
Generated Node #3: [31, 19] from Operation: 47-28=19
Current State: 50:[31, 19], Operations: ['73-42=31', '47-28=19']
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
58,
43,
41,
42
] | 14 | [
"58-43=15",
"42-41=1",
"15-1=14"
] | Current State: 14:[58, 43, 41, 42], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [41, 42, 15]
Generated Node #2: [41, 42, 15] from Operation: 58-43=15
Current State: 14:[41, 42, 15], Operations: ['58-43=15']
Exploring Operation: 42-41=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 42-41=1
Current State: 14:[15, 1], Operations: ['58-43=15', '42-41=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
67,
38,
22,
32
] | 51 | [
"67+38=105",
"22+32=54",
"105-54=51"
] | Current State: 51:[67, 38, 22, 32], Operations: []
Exploring Operation: 67+38=105, Resulting Numbers: [22, 32, 105]
Generated Node #2: [22, 32, 105] from Operation: 67+38=105
Current State: 51:[22, 32, 105], Operations: ['67+38=105']
Exploring Operation: 22+32=54, Resulting Numbers: [105, 54]
Generated Node #3: [105, 54] from Operation: 22+32=54
Current State: 51:[105, 54], Operations: ['67+38=105', '22+32=54']
Exploring Operation: 105-54=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
67,
71,
42,
81
] | 74 | [
"81-67=14",
"42/14=3",
"71+3=74"
] | Current State: 74:[67, 71, 42, 81], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [71, 42, 14]
Generated Node #2: [71, 42, 14] from Operation: 81-67=14
Current State: 74:[71, 42, 14], Operations: ['81-67=14']
Exploring Operation: 42/14=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 42/14=3
Current State: 74:[71, 3], Operations: ['81-67=14', '42/14=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
76,
29,
68,
54
] | 33 | [
"76-29=47",
"68-54=14",
"47-14=33"
] | Current State: 33:[76, 29, 68, 54], Operations: []
Exploring Operation: 76-29=47, Resulting Numbers: [68, 54, 47]
Generated Node #2: [68, 54, 47] from Operation: 76-29=47
Current State: 33:[68, 54, 47], Operations: ['76-29=47']
Exploring Operation: 68-54=14, Resulting Numbers: [47, 14]
Generated Node #3: [47, 14] from Operation: 68-54=14
Current State: 33:[47, 14], Operations: ['76-29=47', '68-54=14']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
50,
98,
6,
14
] | 94 | [
"50+6=56",
"56/14=4",
"98-4=94"
] | Current State: 94:[50, 98, 6, 14], Operations: []
Exploring Operation: 50+6=56, Resulting Numbers: [98, 14, 56]
Generated Node #2: [98, 14, 56] from Operation: 50+6=56
Current State: 94:[98, 14, 56], Operations: ['50+6=56']
Exploring Operation: 56/14=4, Resulting Numbers: [98, 4]
Generated Node #3: [98, 4] from Operation: 56/14=4
Current State: 94:[98, 4], Operations: ['50+6=56', '56/14=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
11,
13,
72,
21
] | 91 | [
"13-11=2",
"72+21=93",
"93-2=91"
] | Current State: 91:[11, 13, 72, 21], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [72, 21, 2]
Generated Node #2: [72, 21, 2] from Operation: 13-11=2
Current State: 91:[72, 21, 2], Operations: ['13-11=2']
Exploring Operation: 72+21=93, Resulting Numbers: [2, 93]
Generated Node #3: [2, 93] from Operation: 72+21=93
Current State: 91:[2, 93], Operations: ['13-11=2', '72+21=93']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
6,
72,
84,
84
] | 13 | [
"72/6=12",
"84/84=1",
"12+1=13"
] | Current State: 13:[6, 72, 84, 84], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [84, 84, 12]
Generated Node #2: [84, 84, 12] from Operation: 72/6=12
Current State: 13:[84, 84, 12], Operations: ['72/6=12']
Exploring Operation: 84/84=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 84/84=1
Current State: 13:[12, 1], Operations: ['72/6=12', '84/84=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
73,
16,
84,
82
] | 41 | [
"84-82=2",
"16*2=32",
"73-32=41"
] | Current State: 41:[73, 16, 84, 82], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [73, 16, 2]
Generated Node #2: [73, 16, 2] from Operation: 84-82=2
Current State: 41:[73, 16, 2], Operations: ['84-82=2']
Exploring Operation: 16*2=32, Resulting Numbers: [73, 32]
Generated Node #3: [73, 32] from Operation: 16*2=32
Current State: 41:[73, 32], Operations: ['84-82=2', '16*2=32']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
55,
87,
62,
62
] | 87 | [
"62-62=0",
"55*0=0",
"87+0=87"
] | Current State: 87:[55, 87, 62, 62], Operations: []
Exploring Operation: 62-62=0, Resulting Numbers: [55, 87, 0]
Generated Node #2: [55, 87, 0] from Operation: 62-62=0
Current State: 87:[55, 87, 0], Operations: ['62-62=0']
Exploring Operation: 55*0=0, Resulting Numbers: [87, 0]
Generated Node #3: [87, 0] from Operation: 55*0=0
Current State: 87:[87, 0], Operations: ['62-62=0', '55*0=0']
Exploring Operation: 87+0=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
51,
16,
6,
68
] | 86 | [
"68-51=17",
"6*17=102",
"102-16=86"
] | Current State: 86:[51, 16, 6, 68], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [16, 6, 17]
Generated Node #2: [16, 6, 17] from Operation: 68-51=17
Current State: 86:[16, 6, 17], Operations: ['68-51=17']
Exploring Operation: 6*17=102, Resulting Numbers: [16, 102]
Generated Node #3: [16, 102] from Operation: 6*17=102
Current State: 86:[16, 102], Operations: ['68-51=17', '6*17=102']
Exploring Operation: 102-16=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
96,
99,
12,
2
] | 11 | [
"99-96=3",
"12+2=14",
"14-3=11"
] | Current State: 11:[96, 99, 12, 2], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [12, 2, 3]
Generated Node #2: [12, 2, 3] from Operation: 99-96=3
Current State: 11:[12, 2, 3], Operations: ['99-96=3']
Exploring Operation: 12+2=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 12+2=14
Current State: 11:[3, 14], Operations: ['99-96=3', '12+2=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
40,
72,
16,
48
] | 48 | [
"40+72=112",
"16+48=64",
"112-64=48"
] | Current State: 48:[40, 72, 16, 48], Operations: []
Exploring Operation: 40+72=112, Resulting Numbers: [16, 48, 112]
Generated Node #2: [16, 48, 112] from Operation: 40+72=112
Current State: 48:[16, 48, 112], Operations: ['40+72=112']
Exploring Operation: 16+48=64, Resulting Numbers: [112, 64]
Generated Node #3: [112, 64] from Operation: 16+48=64
Current State: 48:[112, 64], Operations: ['40+72=112', '16+48=64']
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
22,
74,
8,
18
] | 90 | [
"22*74=1628",
"1628-8=1620",
"1620/18=90"
] | Current State: 90:[22, 74, 8, 18], Operations: []
Exploring Operation: 22*74=1628, Resulting Numbers: [8, 18, 1628]
Generated Node #2: [8, 18, 1628] from Operation: 22*74=1628
Current State: 90:[8, 18, 1628], Operations: ['22*74=1628']
Exploring Operation: 1628-8=1620, Resulting Numbers: [18, 1620]
Generated Node #3: [18, 1620] from Operation: 1628-8=1620
Current State: 90:[18, 1620], Operations: ['22*74=1628', '1628-8=1620']
Exploring Operation: 1620/18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
3,
87,
32,
10
] | 15 | [
"87-32=55",
"55-10=45",
"45/3=15"
] | Current State: 15:[3, 87, 32, 10], Operations: []
Exploring Operation: 87-32=55, Resulting Numbers: [3, 10, 55]
Generated Node #2: [3, 10, 55] from Operation: 87-32=55
Current State: 15:[3, 10, 55], Operations: ['87-32=55']
Exploring Operation: 55-10=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 55-10=45
Current State: 15:[3, 45], Operations: ['87-32=55', '55-10=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
70,
91,
21,
57
] | 28 | [
"70-57=13",
"91/13=7",
"21+7=28"
] | Current State: 28:[70, 91, 21, 57], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [91, 21, 13]
Generated Node #2: [91, 21, 13] from Operation: 70-57=13
Current State: 28:[91, 21, 13], Operations: ['70-57=13']
Exploring Operation: 91/13=7, Resulting Numbers: [21, 7]
Generated Node #3: [21, 7] from Operation: 91/13=7
Current State: 28:[21, 7], Operations: ['70-57=13', '91/13=7']
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
45,
56,
12
] | 47 | [
"48-45=3",
"56-12=44",
"3+44=47"
] | Current State: 47:[48, 45, 56, 12], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [56, 12, 3]
Generated Node #2: [56, 12, 3] from Operation: 48-45=3
Current State: 47:[56, 12, 3], Operations: ['48-45=3']
Exploring Operation: 56-12=44, Resulting Numbers: [3, 44]
Generated Node #3: [3, 44] from Operation: 56-12=44
Current State: 47:[3, 44], Operations: ['48-45=3', '56-12=44']
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
75,
9,
16
] | 80 | [
"9+16=25",
"25/5=5",
"75+5=80"
] | Current State: 80:[5, 75, 9, 16], Operations: []
Exploring Operation: 9+16=25, Resulting Numbers: [5, 75, 25]
Generated Node #2: [5, 75, 25] from Operation: 9+16=25
Current State: 80:[5, 75, 25], Operations: ['9+16=25']
Exploring Operation: 25/5=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 25/5=5
Current State: 80:[75, 5], Operations: ['9+16=25', '25/5=5']
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
89,
31,
6,
66
] | 69 | [
"89-31=58",
"66/6=11",
"58+11=69"
] | Current State: 69:[89, 31, 6, 66], Operations: []
Exploring Operation: 89-31=58, Resulting Numbers: [6, 66, 58]
Generated Node #2: [6, 66, 58] from Operation: 89-31=58
Current State: 69:[6, 66, 58], Operations: ['89-31=58']
Exploring Operation: 66/6=11, Resulting Numbers: [58, 11]
Generated Node #3: [58, 11] from Operation: 66/6=11
Current State: 69:[58, 11], Operations: ['89-31=58', '66/6=11']
Exploring Operation: 58+11=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
58,
99,
18,
80
] | 97 | [
"58-18=40",
"80/40=2",
"99-2=97"
] | Current State: 97:[58, 99, 18, 80], Operations: []
Exploring Operation: 58-18=40, Resulting Numbers: [99, 80, 40]
Generated Node #2: [99, 80, 40] from Operation: 58-18=40
Current State: 97:[99, 80, 40], Operations: ['58-18=40']
Exploring Operation: 80/40=2, Resulting Numbers: [99, 2]
Generated Node #3: [99, 2] from Operation: 80/40=2
Current State: 97:[99, 2], Operations: ['58-18=40', '80/40=2']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
75,
40,
82,
27
] | 91 | [
"82-75=7",
"40-27=13",
"7*13=91"
] | Current State: 91:[75, 40, 82, 27], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [40, 27, 7]
Generated Node #2: [40, 27, 7] from Operation: 82-75=7
Current State: 91:[40, 27, 7], Operations: ['82-75=7']
Exploring Operation: 40-27=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 40-27=13
Current State: 91:[7, 13], Operations: ['82-75=7', '40-27=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
62,
94,
7,
19
] | 25 | [
"62+94=156",
"19+156=175",
"175/7=25"
] | Current State: 25:[62, 94, 7, 19], Operations: []
Exploring Operation: 62+94=156, Resulting Numbers: [7, 19, 156]
Generated Node #2: [7, 19, 156] from Operation: 62+94=156
Current State: 25:[7, 19, 156], Operations: ['62+94=156']
Exploring Operation: 19+156=175, Resulting Numbers: [7, 175]
Generated Node #3: [7, 175] from Operation: 19+156=175
Current State: 25:[7, 175], Operations: ['62+94=156', '19+156=175']
Exploring Operation: 175/7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
29,
56,
84,
55
] | 85 | [
"56*84=4704",
"4704-29=4675",
"4675/55=85"
] | Current State: 85:[29, 56, 84, 55], Operations: []
Exploring Operation: 56*84=4704, Resulting Numbers: [29, 55, 4704]
Generated Node #2: [29, 55, 4704] from Operation: 56*84=4704
Current State: 85:[29, 55, 4704], Operations: ['56*84=4704']
Exploring Operation: 4704-29=4675, Resulting Numbers: [55, 4675]
Generated Node #3: [55, 4675] from Operation: 4704-29=4675
Current State: 85:[55, 4675], Operations: ['56*84=4704', '4704-29=4675']
Exploring Operation: 4675/55=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
30,
83,
90,
11
] | 91 | [
"90/30=3",
"83+11=94",
"94-3=91"
] | Current State: 91:[30, 83, 90, 11], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [83, 11, 3]
Generated Node #2: [83, 11, 3] from Operation: 90/30=3
Current State: 91:[83, 11, 3], Operations: ['90/30=3']
Exploring Operation: 83+11=94, Resulting Numbers: [3, 94]
Generated Node #3: [3, 94] from Operation: 83+11=94
Current State: 91:[3, 94], Operations: ['90/30=3', '83+11=94']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
8,
27,
10,
62
] | 26 | [
"27*10=270",
"270-62=208",
"208/8=26"
] | Current State: 26:[8, 27, 10, 62], Operations: []
Exploring Operation: 27*10=270, Resulting Numbers: [8, 62, 270]
Generated Node #2: [8, 62, 270] from Operation: 27*10=270
Current State: 26:[8, 62, 270], Operations: ['27*10=270']
Exploring Operation: 270-62=208, Resulting Numbers: [8, 208]
Generated Node #3: [8, 208] from Operation: 270-62=208
Current State: 26:[8, 208], Operations: ['27*10=270', '270-62=208']
Exploring Operation: 208/8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
44,
55,
70,
96
] | 37 | [
"55-44=11",
"96-70=26",
"11+26=37"
] | Current State: 37:[44, 55, 70, 96], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [70, 96, 11]
Generated Node #2: [70, 96, 11] from Operation: 55-44=11
Current State: 37:[70, 96, 11], Operations: ['55-44=11']
Exploring Operation: 96-70=26, Resulting Numbers: [11, 26]
Generated Node #3: [11, 26] from Operation: 96-70=26
Current State: 37:[11, 26], Operations: ['55-44=11', '96-70=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
10,
84,
14,
4
] | 96 | [
"14+4=18",
"10*18=180",
"180-84=96"
] | Current State: 96:[10, 84, 14, 4], Operations: []
Exploring Operation: 14+4=18, Resulting Numbers: [10, 84, 18]
Generated Node #2: [10, 84, 18] from Operation: 14+4=18
Current State: 96:[10, 84, 18], Operations: ['14+4=18']
Exploring Operation: 10*18=180, Resulting Numbers: [84, 180]
Generated Node #3: [84, 180] from Operation: 10*18=180
Current State: 96:[84, 180], Operations: ['14+4=18', '10*18=180']
Exploring Operation: 180-84=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
72,
54,
70,
19
] | 75 | [
"72+54=126",
"70-19=51",
"126-51=75"
] | Current State: 75:[72, 54, 70, 19], Operations: []
Exploring Operation: 72+54=126, Resulting Numbers: [70, 19, 126]
Generated Node #2: [70, 19, 126] from Operation: 72+54=126
Current State: 75:[70, 19, 126], Operations: ['72+54=126']
Exploring Operation: 70-19=51, Resulting Numbers: [126, 51]
Generated Node #3: [126, 51] from Operation: 70-19=51
Current State: 75:[126, 51], Operations: ['72+54=126', '70-19=51']
Exploring Operation: 126-51=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
58,
8,
25,
70
] | 41 | [
"58+70=128",
"128/8=16",
"25+16=41"
] | Current State: 41:[58, 8, 25, 70], Operations: []
Exploring Operation: 58+70=128, Resulting Numbers: [8, 25, 128]
Generated Node #2: [8, 25, 128] from Operation: 58+70=128
Current State: 41:[8, 25, 128], Operations: ['58+70=128']
Exploring Operation: 128/8=16, Resulting Numbers: [25, 16]
Generated Node #3: [25, 16] from Operation: 128/8=16
Current State: 41:[25, 16], Operations: ['58+70=128', '128/8=16']
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
82,
92,
68,
67
] | 11 | [
"92-82=10",
"68-67=1",
"10+1=11"
] | Current State: 11:[82, 92, 68, 67], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [68, 67, 10]
Generated Node #2: [68, 67, 10] from Operation: 92-82=10
Current State: 11:[68, 67, 10], Operations: ['92-82=10']
Exploring Operation: 68-67=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 68-67=1
Current State: 11:[10, 1], Operations: ['92-82=10', '68-67=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
95,
88,
10,
82
] | 57 | [
"88-82=6",
"95*6=570",
"570/10=57"
] | Current State: 57:[95, 88, 10, 82], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [95, 10, 6]
Generated Node #2: [95, 10, 6] from Operation: 88-82=6
Current State: 57:[95, 10, 6], Operations: ['88-82=6']
Exploring Operation: 95*6=570, Resulting Numbers: [10, 570]
Generated Node #3: [10, 570] from Operation: 95*6=570
Current State: 57:[10, 570], Operations: ['88-82=6', '95*6=570']
Exploring Operation: 570/10=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
1,
13,
16,
68
] | 64 | [
"13-1=12",
"68-16=52",
"12+52=64"
] | Current State: 64:[1, 13, 16, 68], Operations: []
Exploring Operation: 13-1=12, Resulting Numbers: [16, 68, 12]
Generated Node #2: [16, 68, 12] from Operation: 13-1=12
Current State: 64:[16, 68, 12], Operations: ['13-1=12']
Exploring Operation: 68-16=52, Resulting Numbers: [12, 52]
Generated Node #3: [12, 52] from Operation: 68-16=52
Current State: 64:[12, 52], Operations: ['13-1=12', '68-16=52']
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
82,
40,
82,
32
] | 72 | [
"82+40=122",
"82-32=50",
"122-50=72"
] | Current State: 72:[82, 40, 82, 32], Operations: []
Exploring Operation: 82+40=122, Resulting Numbers: [32, 122]
Generated Node #2: [32, 122] from Operation: 82+40=122
Current State: 72:[32, 122], Operations: ['82+40=122']
Exploring Operation: 82-32=50, Resulting Numbers: [122, 50]
Generated Node #3: [122, 50] from Operation: 82-32=50
Current State: 72:[122, 50], Operations: ['82+40=122', '82-32=50']
Exploring Operation: 122-50=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
48,
70,
46,
46
] | 92 | [
"48*46=2208",
"70-46=24",
"2208/24=92"
] | Current State: 92:[48, 70, 46, 46], Operations: []
Exploring Operation: 48*46=2208, Resulting Numbers: [70, 2208]
Generated Node #2: [70, 2208] from Operation: 48*46=2208
Current State: 92:[70, 2208], Operations: ['48*46=2208']
Exploring Operation: 70-46=24, Resulting Numbers: [2208, 24]
Generated Node #3: [2208, 24] from Operation: 70-46=24
Current State: 92:[2208, 24], Operations: ['48*46=2208', '70-46=24']
Exploring Operation: 2208/24=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
19,
15,
20,
64
] | 50 | [
"19+15=34",
"20+64=84",
"84-34=50"
] | Current State: 50:[19, 15, 20, 64], Operations: []
Exploring Operation: 19+15=34, Resulting Numbers: [20, 64, 34]
Generated Node #2: [20, 64, 34] from Operation: 19+15=34
Current State: 50:[20, 64, 34], Operations: ['19+15=34']
Exploring Operation: 20+64=84, Resulting Numbers: [34, 84]
Generated Node #3: [34, 84] from Operation: 20+64=84
Current State: 50:[34, 84], Operations: ['19+15=34', '20+64=84']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
16,
15,
46,
20
] | 35 | [
"16+15=31",
"46+20=66",
"66-31=35"
] | Current State: 35:[16, 15, 46, 20], Operations: []
Exploring Operation: 16+15=31, Resulting Numbers: [46, 20, 31]
Generated Node #2: [46, 20, 31] from Operation: 16+15=31
Current State: 35:[46, 20, 31], Operations: ['16+15=31']
Exploring Operation: 46+20=66, Resulting Numbers: [31, 66]
Generated Node #3: [31, 66] from Operation: 46+20=66
Current State: 35:[31, 66], Operations: ['16+15=31', '46+20=66']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
39,
88,
33,
35
] | 59 | [
"39+88=127",
"33+35=68",
"127-68=59"
] | Current State: 59:[39, 88, 33, 35], Operations: []
Exploring Operation: 39+88=127, Resulting Numbers: [33, 35, 127]
Generated Node #2: [33, 35, 127] from Operation: 39+88=127
Current State: 59:[33, 35, 127], Operations: ['39+88=127']
Exploring Operation: 33+35=68, Resulting Numbers: [127, 68]
Generated Node #3: [127, 68] from Operation: 33+35=68
Current State: 59:[127, 68], Operations: ['39+88=127', '33+35=68']
Exploring Operation: 127-68=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
61,
98,
80,
87
] | 47 | [
"87-80=7",
"98/7=14",
"61-14=47"
] | Current State: 47:[61, 98, 80, 87], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [61, 98, 7]
Generated Node #2: [61, 98, 7] from Operation: 87-80=7
Current State: 47:[61, 98, 7], Operations: ['87-80=7']
Exploring Operation: 98/7=14, Resulting Numbers: [61, 14]
Generated Node #3: [61, 14] from Operation: 98/7=14
Current State: 47:[61, 14], Operations: ['87-80=7', '98/7=14']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
7,
3,
10,
79
] | 28 | [
"7+10=17",
"3*17=51",
"79-51=28"
] | Current State: 28:[7, 3, 10, 79], Operations: []
Exploring Operation: 7+10=17, Resulting Numbers: [3, 79, 17]
Generated Node #2: [3, 79, 17] from Operation: 7+10=17
Current State: 28:[3, 79, 17], Operations: ['7+10=17']
Exploring Operation: 3*17=51, Resulting Numbers: [79, 51]
Generated Node #3: [79, 51] from Operation: 3*17=51
Current State: 28:[79, 51], Operations: ['7+10=17', '3*17=51']
Exploring Operation: 79-51=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
37,
31,
41,
75
] | 49 | [
"41-37=4",
"31*4=124",
"124-75=49"
] | Current State: 49:[37, 31, 41, 75], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [31, 75, 4]
Generated Node #2: [31, 75, 4] from Operation: 41-37=4
Current State: 49:[31, 75, 4], Operations: ['41-37=4']
Exploring Operation: 31*4=124, Resulting Numbers: [75, 124]
Generated Node #3: [75, 124] from Operation: 31*4=124
Current State: 49:[75, 124], Operations: ['41-37=4', '31*4=124']
Exploring Operation: 124-75=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
21,
47,
38,
54
] | 42 | [
"47-21=26",
"54-38=16",
"26+16=42"
] | Current State: 42:[21, 47, 38, 54], Operations: []
Exploring Operation: 47-21=26, Resulting Numbers: [38, 54, 26]
Generated Node #2: [38, 54, 26] from Operation: 47-21=26
Current State: 42:[38, 54, 26], Operations: ['47-21=26']
Exploring Operation: 54-38=16, Resulting Numbers: [26, 16]
Generated Node #3: [26, 16] from Operation: 54-38=16
Current State: 42:[26, 16], Operations: ['47-21=26', '54-38=16']
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
54,
31,
18
] | 74 | [
"7+54=61",
"31-18=13",
"61+13=74"
] | Current State: 74:[7, 54, 31, 18], Operations: []
Exploring Operation: 7+54=61, Resulting Numbers: [31, 18, 61]
Generated Node #2: [31, 18, 61] from Operation: 7+54=61
Current State: 74:[31, 18, 61], Operations: ['7+54=61']
Exploring Operation: 31-18=13, Resulting Numbers: [61, 13]
Generated Node #3: [61, 13] from Operation: 31-18=13
Current State: 74:[61, 13], Operations: ['7+54=61', '31-18=13']
Exploring Operation: 61+13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
54,
68,
41,
56
] | 37 | [
"68-54=14",
"56/14=4",
"41-4=37"
] | Current State: 37:[54, 68, 41, 56], Operations: []
Exploring Operation: 68-54=14, Resulting Numbers: [41, 56, 14]
Generated Node #2: [41, 56, 14] from Operation: 68-54=14
Current State: 37:[41, 56, 14], Operations: ['68-54=14']
Exploring Operation: 56/14=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 56/14=4
Current State: 37:[41, 4], Operations: ['68-54=14', '56/14=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
51,
9,
61,
6
] | 96 | [
"61-51=10",
"9*10=90",
"6+90=96"
] | Current State: 96:[51, 9, 61, 6], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [9, 6, 10]
Generated Node #2: [9, 6, 10] from Operation: 61-51=10
Current State: 96:[9, 6, 10], Operations: ['61-51=10']
Exploring Operation: 9*10=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 9*10=90
Current State: 96:[6, 90], Operations: ['61-51=10', '9*10=90']
Exploring Operation: 6+90=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
46,
34,
17,
7
] | 16 | [
"46*17=782",
"782/34=23",
"23-7=16"
] | Current State: 16:[46, 34, 17, 7], Operations: []
Exploring Operation: 46*17=782, Resulting Numbers: [34, 7, 782]
Generated Node #2: [34, 7, 782] from Operation: 46*17=782
Current State: 16:[34, 7, 782], Operations: ['46*17=782']
Exploring Operation: 782/34=23, Resulting Numbers: [7, 23]
Generated Node #3: [7, 23] from Operation: 782/34=23
Current State: 16:[7, 23], Operations: ['46*17=782', '782/34=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
73,
4,
70,
68
] | 20 | [
"73-70=3",
"68/4=17",
"3+17=20"
] | Current State: 20:[73, 4, 70, 68], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [4, 68, 3]
Generated Node #2: [4, 68, 3] from Operation: 73-70=3
Current State: 20:[4, 68, 3], Operations: ['73-70=3']
Exploring Operation: 68/4=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 68/4=17
Current State: 20:[3, 17], Operations: ['73-70=3', '68/4=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
81,
48,
42,
69
] | 90 | [
"81*42=3402",
"48*69=3312",
"3402-3312=90"
] | Current State: 90:[81, 48, 42, 69], Operations: []
Exploring Operation: 81*42=3402, Resulting Numbers: [48, 69, 3402]
Generated Node #2: [48, 69, 3402] from Operation: 81*42=3402
Current State: 90:[48, 69, 3402], Operations: ['81*42=3402']
Exploring Operation: 48*69=3312, Resulting Numbers: [3402, 3312]
Generated Node #3: [3402, 3312] from Operation: 48*69=3312
Current State: 90:[3402, 3312], Operations: ['81*42=3402', '48*69=3312']
Exploring Operation: 3402-3312=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
51,
26,
23,
82
] | 71 | [
"26-23=3",
"51*3=153",
"153-82=71"
] | Current State: 71:[51, 26, 23, 82], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [51, 82, 3]
Generated Node #2: [51, 82, 3] from Operation: 26-23=3
Current State: 71:[51, 82, 3], Operations: ['26-23=3']
Exploring Operation: 51*3=153, Resulting Numbers: [82, 153]
Generated Node #3: [82, 153] from Operation: 51*3=153
Current State: 71:[82, 153], Operations: ['26-23=3', '51*3=153']
Exploring Operation: 153-82=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
8,
41,
39,
26
] | 62 | [
"8+41=49",
"39-26=13",
"49+13=62"
] | Current State: 62:[8, 41, 39, 26], Operations: []
Exploring Operation: 8+41=49, Resulting Numbers: [39, 26, 49]
Generated Node #2: [39, 26, 49] from Operation: 8+41=49
Current State: 62:[39, 26, 49], Operations: ['8+41=49']
Exploring Operation: 39-26=13, Resulting Numbers: [49, 13]
Generated Node #3: [49, 13] from Operation: 39-26=13
Current State: 62:[49, 13], Operations: ['8+41=49', '39-26=13']
Exploring Operation: 49+13=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
73,
24,
41,
31
] | 56 | [
"41*31=1271",
"73+1271=1344",
"1344/24=56"
] | Current State: 56:[73, 24, 41, 31], Operations: []
Exploring Operation: 41*31=1271, Resulting Numbers: [73, 24, 1271]
Generated Node #2: [73, 24, 1271] from Operation: 41*31=1271
Current State: 56:[73, 24, 1271], Operations: ['41*31=1271']
Exploring Operation: 73+1271=1344, Resulting Numbers: [24, 1344]
Generated Node #3: [24, 1344] from Operation: 73+1271=1344
Current State: 56:[24, 1344], Operations: ['41*31=1271', '73+1271=1344']
Exploring Operation: 1344/24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
75,
72,
38,
88
] | 53 | [
"75-72=3",
"88-38=50",
"3+50=53"
] | Current State: 53:[75, 72, 38, 88], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [38, 88, 3]
Generated Node #2: [38, 88, 3] from Operation: 75-72=3
Current State: 53:[38, 88, 3], Operations: ['75-72=3']
Exploring Operation: 88-38=50, Resulting Numbers: [3, 50]
Generated Node #3: [3, 50] from Operation: 88-38=50
Current State: 53:[3, 50], Operations: ['75-72=3', '88-38=50']
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
8,
59,
30,
19
] | 98 | [
"8*59=472",
"30*19=570",
"570-472=98"
] | Current State: 98:[8, 59, 30, 19], Operations: []
Exploring Operation: 8*59=472, Resulting Numbers: [30, 19, 472]
Generated Node #2: [30, 19, 472] from Operation: 8*59=472
Current State: 98:[30, 19, 472], Operations: ['8*59=472']
Exploring Operation: 30*19=570, Resulting Numbers: [472, 570]
Generated Node #3: [472, 570] from Operation: 30*19=570
Current State: 98:[472, 570], Operations: ['8*59=472', '30*19=570']
Exploring Operation: 570-472=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
24,
39,
27,
44
] | 73 | [
"27-24=3",
"39*3=117",
"117-44=73"
] | Current State: 73:[24, 39, 27, 44], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [39, 44, 3]
Generated Node #2: [39, 44, 3] from Operation: 27-24=3
Current State: 73:[39, 44, 3], Operations: ['27-24=3']
Exploring Operation: 39*3=117, Resulting Numbers: [44, 117]
Generated Node #3: [44, 117] from Operation: 39*3=117
Current State: 73:[44, 117], Operations: ['27-24=3', '39*3=117']
Exploring Operation: 117-44=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
16,
69,
38,
88
] | 14 | [
"88-69=19",
"38/19=2",
"16-2=14"
] | Current State: 14:[16, 69, 38, 88], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [16, 38, 19]
Generated Node #2: [16, 38, 19] from Operation: 88-69=19
Current State: 14:[16, 38, 19], Operations: ['88-69=19']
Exploring Operation: 38/19=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 38/19=2
Current State: 14:[16, 2], Operations: ['88-69=19', '38/19=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
9,
46,
17,
42
] | 22 | [
"46-9=37",
"17+42=59",
"59-37=22"
] | Current State: 22:[9, 46, 17, 42], Operations: []
Exploring Operation: 46-9=37, Resulting Numbers: [17, 42, 37]
Generated Node #2: [17, 42, 37] from Operation: 46-9=37
Current State: 22:[17, 42, 37], Operations: ['46-9=37']
Exploring Operation: 17+42=59, Resulting Numbers: [37, 59]
Generated Node #3: [37, 59] from Operation: 17+42=59
Current State: 22:[37, 59], Operations: ['46-9=37', '17+42=59']
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
17,
71,
79,
95
] | 38 | [
"71-17=54",
"95-79=16",
"54-16=38"
] | Current State: 38:[17, 71, 79, 95], Operations: []
Exploring Operation: 71-17=54, Resulting Numbers: [79, 95, 54]
Generated Node #2: [79, 95, 54] from Operation: 71-17=54
Current State: 38:[79, 95, 54], Operations: ['71-17=54']
Exploring Operation: 95-79=16, Resulting Numbers: [54, 16]
Generated Node #3: [54, 16] from Operation: 95-79=16
Current State: 38:[54, 16], Operations: ['71-17=54', '95-79=16']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
84,
56,
42,
42
] | 56 | [
"84+56=140",
"42+42=84",
"140-84=56"
] | Current State: 56:[84, 56, 42, 42], Operations: []
Exploring Operation: 84+56=140, Resulting Numbers: [42, 42, 140]
Generated Node #2: [42, 42, 140] from Operation: 84+56=140
Current State: 56:[42, 42, 140], Operations: ['84+56=140']
Exploring Operation: 42+42=84, Resulting Numbers: [140, 84]
Generated Node #3: [140, 84] from Operation: 42+42=84
Current State: 56:[140, 84], Operations: ['84+56=140', '42+42=84']
Exploring Operation: 140-84=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
30,
27,
6,
65
] | 40 | [
"30/6=5",
"65/5=13",
"27+13=40"
] | Current State: 40:[30, 27, 6, 65], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [27, 65, 5]
Generated Node #2: [27, 65, 5] from Operation: 30/6=5
Current State: 40:[27, 65, 5], Operations: ['30/6=5']
Exploring Operation: 65/5=13, Resulting Numbers: [27, 13]
Generated Node #3: [27, 13] from Operation: 65/5=13
Current State: 40:[27, 13], Operations: ['30/6=5', '65/5=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
53,
66,
82,
2
] | 35 | [
"53+66=119",
"82+2=84",
"119-84=35"
] | Current State: 35:[53, 66, 82, 2], Operations: []
Exploring Operation: 53+66=119, Resulting Numbers: [82, 2, 119]
Generated Node #2: [82, 2, 119] from Operation: 53+66=119
Current State: 35:[82, 2, 119], Operations: ['53+66=119']
Exploring Operation: 82+2=84, Resulting Numbers: [119, 84]
Generated Node #3: [119, 84] from Operation: 82+2=84
Current State: 35:[119, 84], Operations: ['53+66=119', '82+2=84']
Exploring Operation: 119-84=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
5,
52,
2,
66
] | 98 | [
"5+2=7",
"66-52=14",
"7*14=98"
] | Current State: 98:[5, 52, 2, 66], Operations: []
Exploring Operation: 5+2=7, Resulting Numbers: [52, 66, 7]
Generated Node #2: [52, 66, 7] from Operation: 5+2=7
Current State: 98:[52, 66, 7], Operations: ['5+2=7']
Exploring Operation: 66-52=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 66-52=14
Current State: 98:[7, 14], Operations: ['5+2=7', '66-52=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
43,
80,
82,
52
] | 93 | [
"43+80=123",
"82-52=30",
"123-30=93"
] | Current State: 93:[43, 80, 82, 52], Operations: []
Exploring Operation: 43+80=123, Resulting Numbers: [82, 52, 123]
Generated Node #2: [82, 52, 123] from Operation: 43+80=123
Current State: 93:[82, 52, 123], Operations: ['43+80=123']
Exploring Operation: 82-52=30, Resulting Numbers: [123, 30]
Generated Node #3: [123, 30] from Operation: 82-52=30
Current State: 93:[123, 30], Operations: ['43+80=123', '82-52=30']
Exploring Operation: 123-30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
67,
15,
50,
52
] | 80 | [
"67+15=82",
"52-50=2",
"82-2=80"
] | Current State: 80:[67, 15, 50, 52], Operations: []
Exploring Operation: 67+15=82, Resulting Numbers: [50, 52, 82]
Generated Node #2: [50, 52, 82] from Operation: 67+15=82
Current State: 80:[50, 52, 82], Operations: ['67+15=82']
Exploring Operation: 52-50=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 52-50=2
Current State: 80:[82, 2], Operations: ['67+15=82', '52-50=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
65,
73,
42,
80
] | 100 | [
"65+73=138",
"80-42=38",
"138-38=100"
] | Current State: 100:[65, 73, 42, 80], Operations: []
Exploring Operation: 65+73=138, Resulting Numbers: [42, 80, 138]
Generated Node #2: [42, 80, 138] from Operation: 65+73=138
Current State: 100:[42, 80, 138], Operations: ['65+73=138']
Exploring Operation: 80-42=38, Resulting Numbers: [138, 38]
Generated Node #3: [138, 38] from Operation: 80-42=38
Current State: 100:[138, 38], Operations: ['65+73=138', '80-42=38']
Exploring Operation: 138-38=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
88,
15,
85,
69
] | 87 | [
"88+15=103",
"85-69=16",
"103-16=87"
] | Current State: 87:[88, 15, 85, 69], Operations: []
Exploring Operation: 88+15=103, Resulting Numbers: [85, 69, 103]
Generated Node #2: [85, 69, 103] from Operation: 88+15=103
Current State: 87:[85, 69, 103], Operations: ['88+15=103']
Exploring Operation: 85-69=16, Resulting Numbers: [103, 16]
Generated Node #3: [103, 16] from Operation: 85-69=16
Current State: 87:[103, 16], Operations: ['88+15=103', '85-69=16']
Exploring Operation: 103-16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
40,
5,
86,
47
] | 84 | [
"40+5=45",
"86-47=39",
"45+39=84"
] | Current State: 84:[40, 5, 86, 47], Operations: []
Exploring Operation: 40+5=45, Resulting Numbers: [86, 47, 45]
Generated Node #2: [86, 47, 45] from Operation: 40+5=45
Current State: 84:[86, 47, 45], Operations: ['40+5=45']
Exploring Operation: 86-47=39, Resulting Numbers: [45, 39]
Generated Node #3: [45, 39] from Operation: 86-47=39
Current State: 84:[45, 39], Operations: ['40+5=45', '86-47=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
93,
17,
24,
39
] | 95 | [
"93+17=110",
"39-24=15",
"110-15=95"
] | Current State: 95:[93, 17, 24, 39], Operations: []
Exploring Operation: 93+17=110, Resulting Numbers: [24, 39, 110]
Generated Node #2: [24, 39, 110] from Operation: 93+17=110
Current State: 95:[24, 39, 110], Operations: ['93+17=110']
Exploring Operation: 39-24=15, Resulting Numbers: [110, 15]
Generated Node #3: [110, 15] from Operation: 39-24=15
Current State: 95:[110, 15], Operations: ['93+17=110', '39-24=15']
Exploring Operation: 110-15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
73,
34,
90,
40
] | 38 | [
"90-73=17",
"34/17=2",
"40-2=38"
] | Current State: 38:[73, 34, 90, 40], Operations: []
Exploring Operation: 90-73=17, Resulting Numbers: [34, 40, 17]
Generated Node #2: [34, 40, 17] from Operation: 90-73=17
Current State: 38:[34, 40, 17], Operations: ['90-73=17']
Exploring Operation: 34/17=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 34/17=2
Current State: 38:[40, 2], Operations: ['90-73=17', '34/17=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
2,
54,
26
] | 72 | [
"50*2=100",
"54-26=28",
"100-28=72"
] | Current State: 72:[50, 2, 54, 26], Operations: []
Exploring Operation: 50*2=100, Resulting Numbers: [54, 26, 100]
Generated Node #2: [54, 26, 100] from Operation: 50*2=100
Current State: 72:[54, 26, 100], Operations: ['50*2=100']
Exploring Operation: 54-26=28, Resulting Numbers: [100, 28]
Generated Node #3: [100, 28] from Operation: 54-26=28
Current State: 72:[100, 28], Operations: ['50*2=100', '54-26=28']
Exploring Operation: 100-28=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
4,
47,
40,
96
] | 59 | [
"40/4=10",
"96-47=49",
"10+49=59"
] | Current State: 59:[4, 47, 40, 96], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [47, 96, 10]
Generated Node #2: [47, 96, 10] from Operation: 40/4=10
Current State: 59:[47, 96, 10], Operations: ['40/4=10']
Exploring Operation: 96-47=49, Resulting Numbers: [10, 49]
Generated Node #3: [10, 49] from Operation: 96-47=49
Current State: 59:[10, 49], Operations: ['40/4=10', '96-47=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
74,
49,
16,
32
] | 86 | [
"74*16=1184",
"1184/32=37",
"49+37=86"
] | Current State: 86:[74, 49, 16, 32], Operations: []
Exploring Operation: 74*16=1184, Resulting Numbers: [49, 32, 1184]
Generated Node #2: [49, 32, 1184] from Operation: 74*16=1184
Current State: 86:[49, 32, 1184], Operations: ['74*16=1184']
Exploring Operation: 1184/32=37, Resulting Numbers: [49, 37]
Generated Node #3: [49, 37] from Operation: 1184/32=37
Current State: 86:[49, 37], Operations: ['74*16=1184', '1184/32=37']
Exploring Operation: 49+37=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
72,
69,
80,
29
] | 32 | [
"72+69=141",
"80+29=109",
"141-109=32"
] | Current State: 32:[72, 69, 80, 29], Operations: []
Exploring Operation: 72+69=141, Resulting Numbers: [80, 29, 141]
Generated Node #2: [80, 29, 141] from Operation: 72+69=141
Current State: 32:[80, 29, 141], Operations: ['72+69=141']
Exploring Operation: 80+29=109, Resulting Numbers: [141, 109]
Generated Node #3: [141, 109] from Operation: 80+29=109
Current State: 32:[141, 109], Operations: ['72+69=141', '80+29=109']
Exploring Operation: 141-109=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
36,
48,
58,
50
] | 16 | [
"36*48=1728",
"58+50=108",
"1728/108=16"
] | Current State: 16:[36, 48, 58, 50], Operations: []
Exploring Operation: 36*48=1728, Resulting Numbers: [58, 50, 1728]
Generated Node #2: [58, 50, 1728] from Operation: 36*48=1728
Current State: 16:[58, 50, 1728], Operations: ['36*48=1728']
Exploring Operation: 58+50=108, Resulting Numbers: [1728, 108]
Generated Node #3: [1728, 108] from Operation: 58+50=108
Current State: 16:[1728, 108], Operations: ['36*48=1728', '58+50=108']
Exploring Operation: 1728/108=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
45,
79,
28,
86
] | 10 | [
"45+79=124",
"28+86=114",
"124-114=10"
] | Current State: 10:[45, 79, 28, 86], Operations: []
Exploring Operation: 45+79=124, Resulting Numbers: [28, 86, 124]
Generated Node #2: [28, 86, 124] from Operation: 45+79=124
Current State: 10:[28, 86, 124], Operations: ['45+79=124']
Exploring Operation: 28+86=114, Resulting Numbers: [124, 114]
Generated Node #3: [124, 114] from Operation: 28+86=114
Current State: 10:[124, 114], Operations: ['45+79=124', '28+86=114']
Exploring Operation: 124-114=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
14,
26,
18
] | 37 | [
"14-7=7",
"26+18=44",
"44-7=37"
] | Current State: 37:[7, 14, 26, 18], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [26, 18, 7]
Generated Node #2: [26, 18, 7] from Operation: 14-7=7
Current State: 37:[26, 18, 7], Operations: ['14-7=7']
Exploring Operation: 26+18=44, Resulting Numbers: [7, 44]
Generated Node #3: [7, 44] from Operation: 26+18=44
Current State: 37:[7, 44], Operations: ['14-7=7', '26+18=44']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
65,
16,
76,
56
] | 29 | [
"65-16=49",
"76-56=20",
"49-20=29"
] | Current State: 29:[65, 16, 76, 56], Operations: []
Exploring Operation: 65-16=49, Resulting Numbers: [76, 56, 49]
Generated Node #2: [76, 56, 49] from Operation: 65-16=49
Current State: 29:[76, 56, 49], Operations: ['65-16=49']
Exploring Operation: 76-56=20, Resulting Numbers: [49, 20]
Generated Node #3: [49, 20] from Operation: 76-56=20
Current State: 29:[49, 20], Operations: ['65-16=49', '76-56=20']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
67,
4,
72,
91
] | 52 | [
"67+4=71",
"91-72=19",
"71-19=52"
] | Current State: 52:[67, 4, 72, 91], Operations: []
Exploring Operation: 67+4=71, Resulting Numbers: [72, 91, 71]
Generated Node #2: [72, 91, 71] from Operation: 67+4=71
Current State: 52:[72, 91, 71], Operations: ['67+4=71']
Exploring Operation: 91-72=19, Resulting Numbers: [71, 19]
Generated Node #3: [71, 19] from Operation: 91-72=19
Current State: 52:[71, 19], Operations: ['67+4=71', '91-72=19']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
48,
9,
85,
15
] | 98 | [
"85-48=37",
"9*15=135",
"135-37=98"
] | Current State: 98:[48, 9, 85, 15], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [9, 15, 37]
Generated Node #2: [9, 15, 37] from Operation: 85-48=37
Current State: 98:[9, 15, 37], Operations: ['85-48=37']
Exploring Operation: 9*15=135, Resulting Numbers: [37, 135]
Generated Node #3: [37, 135] from Operation: 9*15=135
Current State: 98:[37, 135], Operations: ['85-48=37', '9*15=135']
Exploring Operation: 135-37=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
61,
27,
82,
91
] | 97 | [
"61+27=88",
"91-82=9",
"88+9=97"
] | Current State: 97:[61, 27, 82, 91], Operations: []
Exploring Operation: 61+27=88, Resulting Numbers: [82, 91, 88]
Generated Node #2: [82, 91, 88] from Operation: 61+27=88
Current State: 97:[82, 91, 88], Operations: ['61+27=88']
Exploring Operation: 91-82=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 91-82=9
Current State: 97:[88, 9], Operations: ['61+27=88', '91-82=9']
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
20,
75,
60
] | 30 | [
"65-20=45",
"75-60=15",
"45-15=30"
] | Current State: 30:[65, 20, 75, 60], Operations: []
Exploring Operation: 65-20=45, Resulting Numbers: [75, 60, 45]
Generated Node #2: [75, 60, 45] from Operation: 65-20=45
Current State: 30:[75, 60, 45], Operations: ['65-20=45']
Exploring Operation: 75-60=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 75-60=15
Current State: 30:[45, 15], Operations: ['65-20=45', '75-60=15']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
61,
28,
58
] | 42 | [
"28/2=14",
"61-58=3",
"14*3=42"
] | Current State: 42:[2, 61, 28, 58], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [61, 58, 14]
Generated Node #2: [61, 58, 14] from Operation: 28/2=14
Current State: 42:[61, 58, 14], Operations: ['28/2=14']
Exploring Operation: 61-58=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 61-58=3
Current State: 42:[14, 3], Operations: ['28/2=14', '61-58=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
37,
42,
9,
55
] | 44 | [
"55-37=18",
"18/9=2",
"42+2=44"
] | Current State: 44:[37, 42, 9, 55], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [42, 9, 18]
Generated Node #2: [42, 9, 18] from Operation: 55-37=18
Current State: 44:[42, 9, 18], Operations: ['55-37=18']
Exploring Operation: 18/9=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 18/9=2
Current State: 44:[42, 2], Operations: ['55-37=18', '18/9=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
7,
51,
84
] | 37 | [
"84/12=7",
"51-7=44",
"44-7=37"
] | Current State: 37:[12, 7, 51, 84], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [7, 51, 7]
Generated Node #2: [7, 51, 7] from Operation: 84/12=7
Current State: 37:[7, 51, 7], Operations: ['84/12=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,37 equal: Goal Reached
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
49,
60,
36,
8
] | 37 | [
"60+36=96",
"96/8=12",
"49-12=37"
] | Current State: 37:[49, 60, 36, 8], Operations: []
Exploring Operation: 60+36=96, Resulting Numbers: [49, 8, 96]
Generated Node #2: [49, 8, 96] from Operation: 60+36=96
Current State: 37:[49, 8, 96], Operations: ['60+36=96']
Exploring Operation: 96/8=12, Resulting Numbers: [49, 12]
Generated Node #3: [49, 12] from Operation: 96/8=12
Current State: 37:[49, 12], Operations: ['60+36=96', '96/8=12']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
43,
62,
13,
60
] | 15 | [
"43-13=30",
"62-60=2",
"30/2=15"
] | Current State: 15:[43, 62, 13, 60], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [62, 60, 30]
Generated Node #2: [62, 60, 30] from Operation: 43-13=30
Current State: 15:[62, 60, 30], Operations: ['43-13=30']
Exploring Operation: 62-60=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 62-60=2
Current State: 15:[30, 2], Operations: ['43-13=30', '62-60=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
83,
18,
38,
8
] | 20 | [
"83-38=45",
"8*45=360",
"360/18=20"
] | Current State: 20:[83, 18, 38, 8], Operations: []
Exploring Operation: 83-38=45, Resulting Numbers: [18, 8, 45]
Generated Node #2: [18, 8, 45] from Operation: 83-38=45
Current State: 20:[18, 8, 45], Operations: ['83-38=45']
Exploring Operation: 8*45=360, Resulting Numbers: [18, 360]
Generated Node #3: [18, 360] from Operation: 8*45=360
Current State: 20:[18, 360], Operations: ['83-38=45', '8*45=360']
Exploring Operation: 360/18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
49,
15,
66,
51
] | 45 | [
"66-49=17",
"15*51=765",
"765/17=45"
] | Current State: 45:[49, 15, 66, 51], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [15, 51, 17]
Generated Node #2: [15, 51, 17] from Operation: 66-49=17
Current State: 45:[15, 51, 17], Operations: ['66-49=17']
Exploring Operation: 15*51=765, Resulting Numbers: [17, 765]
Generated Node #3: [17, 765] from Operation: 15*51=765
Current State: 45:[17, 765], Operations: ['66-49=17', '15*51=765']
Exploring Operation: 765/17=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
40,
41,
78,
3
] | 73 | [
"78-40=38",
"3*38=114",
"114-41=73"
] | Current State: 73:[40, 41, 78, 3], Operations: []
Exploring Operation: 78-40=38, Resulting Numbers: [41, 3, 38]
Generated Node #2: [41, 3, 38] from Operation: 78-40=38
Current State: 73:[41, 3, 38], Operations: ['78-40=38']
Exploring Operation: 3*38=114, Resulting Numbers: [41, 114]
Generated Node #3: [41, 114] from Operation: 3*38=114
Current State: 73:[41, 114], Operations: ['78-40=38', '3*38=114']
Exploring Operation: 114-41=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
54,
30,
2,
10
] | 59 | [
"54+2=56",
"30/10=3",
"56+3=59"
] | Current State: 59:[54, 30, 2, 10], Operations: []
Exploring Operation: 54+2=56, Resulting Numbers: [30, 10, 56]
Generated Node #2: [30, 10, 56] from Operation: 54+2=56
Current State: 59:[30, 10, 56], Operations: ['54+2=56']
Exploring Operation: 30/10=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 30/10=3
Current State: 59:[56, 3], Operations: ['54+2=56', '30/10=3']
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
32,
1,
25
] | 10 | [
"2+32=34",
"25-1=24",
"34-24=10"
] | Current State: 10:[2, 32, 1, 25], Operations: []
Exploring Operation: 2+32=34, Resulting Numbers: [1, 25, 34]
Generated Node #2: [1, 25, 34] from Operation: 2+32=34
Current State: 10:[1, 25, 34], Operations: ['2+32=34']
Exploring Operation: 25-1=24, Resulting Numbers: [34, 24]
Generated Node #3: [34, 24] from Operation: 25-1=24
Current State: 10:[34, 24], Operations: ['2+32=34', '25-1=24']
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
99,
64,
6
] | 91 | [
"21*6=126",
"99-64=35",
"126-35=91"
] | Current State: 91:[21, 99, 64, 6], Operations: []
Exploring Operation: 21*6=126, Resulting Numbers: [99, 64, 126]
Generated Node #2: [99, 64, 126] from Operation: 21*6=126
Current State: 91:[99, 64, 126], Operations: ['21*6=126']
Exploring Operation: 99-64=35, Resulting Numbers: [126, 35]
Generated Node #3: [126, 35] from Operation: 99-64=35
Current State: 91:[126, 35], Operations: ['21*6=126', '99-64=35']
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
61,
41,
56,
65
] | 60 | [
"65-61=4",
"56-41=15",
"4*15=60"
] | Current State: 60:[61, 41, 56, 65], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [41, 56, 4]
Generated Node #2: [41, 56, 4] from Operation: 65-61=4
Current State: 60:[41, 56, 4], Operations: ['65-61=4']
Exploring Operation: 56-41=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 56-41=15
Current State: 60:[4, 15], Operations: ['65-61=4', '56-41=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
34,
57,
45,
57
] | 60 | [
"57+45=102",
"102/34=3",
"57+3=60"
] | Current State: 60:[34, 57, 45, 57], Operations: []
Exploring Operation: 57+45=102, Resulting Numbers: [34, 102]
Generated Node #2: [34, 102] from Operation: 57+45=102
Current State: 60:[34, 102], Operations: ['57+45=102']
Exploring Operation: 102/34=3, Resulting Numbers: [3]
3,60 equal: Goal Reached
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
49,
47,
36,
89
] | 29 | [
"49+47=96",
"36+89=125",
"125-96=29"
] | Current State: 29:[49, 47, 36, 89], Operations: []
Exploring Operation: 49+47=96, Resulting Numbers: [36, 89, 96]
Generated Node #2: [36, 89, 96] from Operation: 49+47=96
Current State: 29:[36, 89, 96], Operations: ['49+47=96']
Exploring Operation: 36+89=125, Resulting Numbers: [96, 125]
Generated Node #3: [96, 125] from Operation: 36+89=125
Current State: 29:[96, 125], Operations: ['49+47=96', '36+89=125']
Exploring Operation: 125-96=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
27,
74,
16,
95
] | 22 | [
"27+74=101",
"95-16=79",
"101-79=22"
] | Current State: 22:[27, 74, 16, 95], Operations: []
Exploring Operation: 27+74=101, Resulting Numbers: [16, 95, 101]
Generated Node #2: [16, 95, 101] from Operation: 27+74=101
Current State: 22:[16, 95, 101], Operations: ['27+74=101']
Exploring Operation: 95-16=79, Resulting Numbers: [101, 79]
Generated Node #3: [101, 79] from Operation: 95-16=79
Current State: 22:[101, 79], Operations: ['27+74=101', '95-16=79']
Exploring Operation: 101-79=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
46,
4,
82,
59
] | 91 | [
"46+4=50",
"82+59=141",
"141-50=91"
] | Current State: 91:[46, 4, 82, 59], Operations: []
Exploring Operation: 46+4=50, Resulting Numbers: [82, 59, 50]
Generated Node #2: [82, 59, 50] from Operation: 46+4=50
Current State: 91:[82, 59, 50], Operations: ['46+4=50']
Exploring Operation: 82+59=141, Resulting Numbers: [50, 141]
Generated Node #3: [50, 141] from Operation: 82+59=141
Current State: 91:[50, 141], Operations: ['46+4=50', '82+59=141']
Exploring Operation: 141-50=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
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