nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
91,
26,
88,
21
] | 94 | [
"26*21=546",
"546/91=6",
"88+6=94"
] | Current State: 94:[91, 26, 88, 21], Operations: []
Exploring Operation: 26*21=546, Resulting Numbers: [91, 88, 546]
Generated Node #2: [91, 88, 546] from Operation: 26*21=546
Current State: 94:[91, 88, 546], Operations: ['26*21=546']
Exploring Operation: 546/91=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 546/91=6
Current State: 94:[88, 6], Operations: ['26*21=546', '546/91=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
39,
70,
72,
96
] | 85 | [
"39+70=109",
"96-72=24",
"109-24=85"
] | Current State: 85:[39, 70, 72, 96], Operations: []
Exploring Operation: 39+70=109, Resulting Numbers: [72, 96, 109]
Generated Node #2: [72, 96, 109] from Operation: 39+70=109
Current State: 85:[72, 96, 109], Operations: ['39+70=109']
Exploring Operation: 96-72=24, Resulting Numbers: [109, 24]
Generated Node #3: [109, 24] from Operation: 96-72=24
Current State: 85:[109, 24], Operations: ['39+70=109', '96-72=24']
Exploring Operation: 109-24=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
89,
56,
19,
32
] | 18 | [
"89-56=33",
"19+32=51",
"51-33=18"
] | Current State: 18:[89, 56, 19, 32], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [19, 32, 33]
Generated Node #2: [19, 32, 33] from Operation: 89-56=33
Current State: 18:[19, 32, 33], Operations: ['89-56=33']
Exploring Operation: 19+32=51, Resulting Numbers: [33, 51]
Generated Node #3: [33, 51] from Operation: 19+32=51
Current State: 18:[33, 51], Operations: ['89-56=33', '19+32=51']
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
15,
80,
19,
14
] | 77 | [
"19-14=5",
"15/5=3",
"80-3=77"
] | Current State: 77:[15, 80, 19, 14], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [15, 80, 5]
Generated Node #2: [15, 80, 5] from Operation: 19-14=5
Current State: 77:[15, 80, 5], Operations: ['19-14=5']
Exploring Operation: 15/5=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 15/5=3
Current State: 77:[80, 3], Operations: ['19-14=5', '15/5=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
87,
27,
97,
93
] | 65 | [
"93-87=6",
"27*6=162",
"162-97=65"
] | Current State: 65:[87, 27, 97, 93], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [27, 97, 6]
Generated Node #2: [27, 97, 6] from Operation: 93-87=6
Current State: 65:[27, 97, 6], Operations: ['93-87=6']
Exploring Operation: 27*6=162, Resulting Numbers: [97, 162]
Generated Node #3: [97, 162] from Operation: 27*6=162
Current State: 65:[97, 162], Operations: ['93-87=6', '27*6=162']
Exploring Operation: 162-97=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
36,
24,
72,
88
] | 82 | [
"36-24=12",
"72/12=6",
"88-6=82"
] | Current State: 82:[36, 24, 72, 88], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [72, 88, 12]
Generated Node #2: [72, 88, 12] from Operation: 36-24=12
Current State: 82:[72, 88, 12], Operations: ['36-24=12']
Exploring Operation: 72/12=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 72/12=6
Current State: 82:[88, 6], Operations: ['36-24=12', '72/12=6']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
91,
35,
49,
25
] | 29 | [
"91+49=140",
"140/35=4",
"25+4=29"
] | Current State: 29:[91, 35, 49, 25], Operations: []
Exploring Operation: 91+49=140, Resulting Numbers: [35, 25, 140]
Generated Node #2: [35, 25, 140] from Operation: 91+49=140
Current State: 29:[35, 25, 140], Operations: ['91+49=140']
Exploring Operation: 140/35=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 140/35=4
Current State: 29:[25, 4], Operations: ['91+49=140', '140/35=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
54,
27,
87,
48
] | 19 | [
"54-48=6",
"27+87=114",
"114/6=19"
] | Current State: 19:[54, 27, 87, 48], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [27, 87, 6]
Generated Node #2: [27, 87, 6] from Operation: 54-48=6
Current State: 19:[27, 87, 6], Operations: ['54-48=6']
Exploring Operation: 27+87=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 27+87=114
Current State: 19:[6, 114], Operations: ['54-48=6', '27+87=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
15,
32,
7,
55
] | 95 | [
"15+32=47",
"55-7=48",
"47+48=95"
] | Current State: 95:[15, 32, 7, 55], Operations: []
Exploring Operation: 15+32=47, Resulting Numbers: [7, 55, 47]
Generated Node #2: [7, 55, 47] from Operation: 15+32=47
Current State: 95:[7, 55, 47], Operations: ['15+32=47']
Exploring Operation: 55-7=48, Resulting Numbers: [47, 48]
Generated Node #3: [47, 48] from Operation: 55-7=48
Current State: 95:[47, 48], Operations: ['15+32=47', '55-7=48']
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
48,
45,
6,
49
] | 96 | [
"45+6=51",
"51-49=2",
"48*2=96"
] | Current State: 96:[48, 45, 6, 49], Operations: []
Exploring Operation: 45+6=51, Resulting Numbers: [48, 49, 51]
Generated Node #2: [48, 49, 51] from Operation: 45+6=51
Current State: 96:[48, 49, 51], Operations: ['45+6=51']
Exploring Operation: 51-49=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 51-49=2
Current State: 96:[48, 2], Operations: ['45+6=51', '51-49=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
95,
79,
6,
68
] | 28 | [
"95-79=16",
"6*16=96",
"96-68=28"
] | Current State: 28:[95, 79, 6, 68], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [6, 68, 16]
Generated Node #2: [6, 68, 16] from Operation: 95-79=16
Current State: 28:[6, 68, 16], Operations: ['95-79=16']
Exploring Operation: 6*16=96, Resulting Numbers: [68, 96]
Generated Node #3: [68, 96] from Operation: 6*16=96
Current State: 28:[68, 96], Operations: ['95-79=16', '6*16=96']
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
59,
50,
59,
28
] | 79 | [
"59/59=1",
"50+28=78",
"1+78=79"
] | Current State: 79:[59, 50, 59, 28], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [50, 28, 1]
Generated Node #2: [50, 28, 1] from Operation: 59/59=1
Current State: 79:[50, 28, 1], Operations: ['59/59=1']
Exploring Operation: 50+28=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 50+28=78
Current State: 79:[1, 78], Operations: ['59/59=1', '50+28=78']
Exploring Operation: 1+78=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
48,
32,
45,
10
] | 19 | [
"48-32=16",
"45-10=35",
"35-16=19"
] | Current State: 19:[48, 32, 45, 10], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [45, 10, 16]
Generated Node #2: [45, 10, 16] from Operation: 48-32=16
Current State: 19:[45, 10, 16], Operations: ['48-32=16']
Exploring Operation: 45-10=35, Resulting Numbers: [16, 35]
Generated Node #3: [16, 35] from Operation: 45-10=35
Current State: 19:[16, 35], Operations: ['48-32=16', '45-10=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
41,
41,
53,
40
] | 69 | [
"41+41=82",
"53-40=13",
"82-13=69"
] | Current State: 69:[41, 41, 53, 40], Operations: []
Exploring Operation: 41+41=82, Resulting Numbers: [53, 40, 82]
Generated Node #2: [53, 40, 82] from Operation: 41+41=82
Current State: 69:[53, 40, 82], Operations: ['41+41=82']
Exploring Operation: 53-40=13, Resulting Numbers: [82, 13]
Generated Node #3: [82, 13] from Operation: 53-40=13
Current State: 69:[82, 13], Operations: ['41+41=82', '53-40=13']
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
40,
47,
28,
23
] | 36 | [
"40+47=87",
"28+23=51",
"87-51=36"
] | Current State: 36:[40, 47, 28, 23], Operations: []
Exploring Operation: 40+47=87, Resulting Numbers: [28, 23, 87]
Generated Node #2: [28, 23, 87] from Operation: 40+47=87
Current State: 36:[28, 23, 87], Operations: ['40+47=87']
Exploring Operation: 28+23=51, Resulting Numbers: [87, 51]
Generated Node #3: [87, 51] from Operation: 28+23=51
Current State: 36:[87, 51], Operations: ['40+47=87', '28+23=51']
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
97,
76,
85,
24
] | 64 | [
"97+76=173",
"85+24=109",
"173-109=64"
] | Current State: 64:[97, 76, 85, 24], Operations: []
Exploring Operation: 97+76=173, Resulting Numbers: [85, 24, 173]
Generated Node #2: [85, 24, 173] from Operation: 97+76=173
Current State: 64:[85, 24, 173], Operations: ['97+76=173']
Exploring Operation: 85+24=109, Resulting Numbers: [173, 109]
Generated Node #3: [173, 109] from Operation: 85+24=109
Current State: 64:[173, 109], Operations: ['97+76=173', '85+24=109']
Exploring Operation: 173-109=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
62,
11,
32
] | 81 | [
"2*62=124",
"11+32=43",
"124-43=81"
] | Current State: 81:[2, 62, 11, 32], Operations: []
Exploring Operation: 2*62=124, Resulting Numbers: [11, 32, 124]
Generated Node #2: [11, 32, 124] from Operation: 2*62=124
Current State: 81:[11, 32, 124], Operations: ['2*62=124']
Exploring Operation: 11+32=43, Resulting Numbers: [124, 43]
Generated Node #3: [124, 43] from Operation: 11+32=43
Current State: 81:[124, 43], Operations: ['2*62=124', '11+32=43']
Exploring Operation: 124-43=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
3,
7,
72,
45
] | 42 | [
"45-7=38",
"3*38=114",
"114-72=42"
] | Current State: 42:[3, 7, 72, 45], Operations: []
Exploring Operation: 45-7=38, Resulting Numbers: [3, 72, 38]
Generated Node #2: [3, 72, 38] from Operation: 45-7=38
Current State: 42:[3, 72, 38], Operations: ['45-7=38']
Exploring Operation: 3*38=114, Resulting Numbers: [72, 114]
Generated Node #3: [72, 114] from Operation: 3*38=114
Current State: 42:[72, 114], Operations: ['45-7=38', '3*38=114']
Exploring Operation: 114-72=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
20,
78,
92
] | 86 | [
"20-7=13",
"78/13=6",
"92-6=86"
] | Current State: 86:[7, 20, 78, 92], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [78, 92, 13]
Generated Node #2: [78, 92, 13] from Operation: 20-7=13
Current State: 86:[78, 92, 13], Operations: ['20-7=13']
Exploring Operation: 78/13=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 78/13=6
Current State: 86:[92, 6], Operations: ['20-7=13', '78/13=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
54,
14,
2,
42
] | 36 | [
"54*14=756",
"42/2=21",
"756/21=36"
] | Current State: 36:[54, 14, 2, 42], Operations: []
Exploring Operation: 54*14=756, Resulting Numbers: [2, 42, 756]
Generated Node #2: [2, 42, 756] from Operation: 54*14=756
Current State: 36:[2, 42, 756], Operations: ['54*14=756']
Exploring Operation: 42/2=21, Resulting Numbers: [756, 21]
Generated Node #3: [756, 21] from Operation: 42/2=21
Current State: 36:[756, 21], Operations: ['54*14=756', '42/2=21']
Exploring Operation: 756/21=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
24,
48,
25,
74
] | 62 | [
"48/24=2",
"74/2=37",
"25+37=62"
] | Current State: 62:[24, 48, 25, 74], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [25, 74, 2]
Generated Node #2: [25, 74, 2] from Operation: 48/24=2
Current State: 62:[25, 74, 2], Operations: ['48/24=2']
Exploring Operation: 74/2=37, Resulting Numbers: [25, 37]
Generated Node #3: [25, 37] from Operation: 74/2=37
Current State: 62:[25, 37], Operations: ['48/24=2', '74/2=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
48,
67,
41,
82
] | 29 | [
"48*82=3936",
"3936/41=96",
"96-67=29"
] | Current State: 29:[48, 67, 41, 82], Operations: []
Exploring Operation: 48*82=3936, Resulting Numbers: [67, 41, 3936]
Generated Node #2: [67, 41, 3936] from Operation: 48*82=3936
Current State: 29:[67, 41, 3936], Operations: ['48*82=3936']
Exploring Operation: 3936/41=96, Resulting Numbers: [67, 96]
Generated Node #3: [67, 96] from Operation: 3936/41=96
Current State: 29:[67, 96], Operations: ['48*82=3936', '3936/41=96']
Exploring Operation: 96-67=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
37,
43,
78,
20
] | 82 | [
"37+43=80",
"80/20=4",
"78+4=82"
] | Current State: 82:[37, 43, 78, 20], Operations: []
Exploring Operation: 37+43=80, Resulting Numbers: [78, 20, 80]
Generated Node #2: [78, 20, 80] from Operation: 37+43=80
Current State: 82:[78, 20, 80], Operations: ['37+43=80']
Exploring Operation: 80/20=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 80/20=4
Current State: 82:[78, 4], Operations: ['37+43=80', '80/20=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
97,
34,
17
] | 99 | [
"4+97=101",
"34/17=2",
"101-2=99"
] | Current State: 99:[4, 97, 34, 17], Operations: []
Exploring Operation: 4+97=101, Resulting Numbers: [34, 17, 101]
Generated Node #2: [34, 17, 101] from Operation: 4+97=101
Current State: 99:[34, 17, 101], Operations: ['4+97=101']
Exploring Operation: 34/17=2, Resulting Numbers: [101, 2]
Generated Node #3: [101, 2] from Operation: 34/17=2
Current State: 99:[101, 2], Operations: ['4+97=101', '34/17=2']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
59,
82,
80,
94
] | 37 | [
"82-59=23",
"94-80=14",
"23+14=37"
] | Current State: 37:[59, 82, 80, 94], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [80, 94, 23]
Generated Node #2: [80, 94, 23] from Operation: 82-59=23
Current State: 37:[80, 94, 23], Operations: ['82-59=23']
Exploring Operation: 94-80=14, Resulting Numbers: [23, 14]
Generated Node #3: [23, 14] from Operation: 94-80=14
Current State: 37:[23, 14], Operations: ['82-59=23', '94-80=14']
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
41,
77,
98,
85
] | 23 | [
"77-41=36",
"98-85=13",
"36-13=23"
] | Current State: 23:[41, 77, 98, 85], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [98, 85, 36]
Generated Node #2: [98, 85, 36] from Operation: 77-41=36
Current State: 23:[98, 85, 36], Operations: ['77-41=36']
Exploring Operation: 98-85=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 98-85=13
Current State: 23:[36, 13], Operations: ['77-41=36', '98-85=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
57,
41,
62
] | 45 | [
"9+57=66",
"62-41=21",
"66-21=45"
] | Current State: 45:[9, 57, 41, 62], Operations: []
Exploring Operation: 9+57=66, Resulting Numbers: [41, 62, 66]
Generated Node #2: [41, 62, 66] from Operation: 9+57=66
Current State: 45:[41, 62, 66], Operations: ['9+57=66']
Exploring Operation: 62-41=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 62-41=21
Current State: 45:[66, 21], Operations: ['9+57=66', '62-41=21']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
60,
97,
99
] | 10 | [
"60/3=20",
"99-97=2",
"20/2=10"
] | Current State: 10:[3, 60, 97, 99], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [97, 99, 20]
Generated Node #2: [97, 99, 20] from Operation: 60/3=20
Current State: 10:[97, 99, 20], Operations: ['60/3=20']
Exploring Operation: 99-97=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 99-97=2
Current State: 10:[20, 2], Operations: ['60/3=20', '99-97=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
11,
84,
65
] | 76 | [
"68-11=57",
"84-65=19",
"57+19=76"
] | Current State: 76:[68, 11, 84, 65], Operations: []
Exploring Operation: 68-11=57, Resulting Numbers: [84, 65, 57]
Generated Node #2: [84, 65, 57] from Operation: 68-11=57
Current State: 76:[84, 65, 57], Operations: ['68-11=57']
Exploring Operation: 84-65=19, Resulting Numbers: [57, 19]
Generated Node #3: [57, 19] from Operation: 84-65=19
Current State: 76:[57, 19], Operations: ['68-11=57', '84-65=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
25,
91,
8,
84
] | 15 | [
"91+84=175",
"175/25=7",
"8+7=15"
] | Current State: 15:[25, 91, 8, 84], Operations: []
Exploring Operation: 91+84=175, Resulting Numbers: [25, 8, 175]
Generated Node #2: [25, 8, 175] from Operation: 91+84=175
Current State: 15:[25, 8, 175], Operations: ['91+84=175']
Exploring Operation: 175/25=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 175/25=7
Current State: 15:[8, 7], Operations: ['91+84=175', '175/25=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
19,
68,
87,
3
] | 41 | [
"68-19=49",
"87+3=90",
"90-49=41"
] | Current State: 41:[19, 68, 87, 3], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [87, 3, 49]
Generated Node #2: [87, 3, 49] from Operation: 68-19=49
Current State: 41:[87, 3, 49], Operations: ['68-19=49']
Exploring Operation: 87+3=90, Resulting Numbers: [49, 90]
Generated Node #3: [49, 90] from Operation: 87+3=90
Current State: 41:[49, 90], Operations: ['68-19=49', '87+3=90']
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
66,
13,
46,
17
] | 82 | [
"66-13=53",
"46-17=29",
"53+29=82"
] | Current State: 82:[66, 13, 46, 17], Operations: []
Exploring Operation: 66-13=53, Resulting Numbers: [46, 17, 53]
Generated Node #2: [46, 17, 53] from Operation: 66-13=53
Current State: 82:[46, 17, 53], Operations: ['66-13=53']
Exploring Operation: 46-17=29, Resulting Numbers: [53, 29]
Generated Node #3: [53, 29] from Operation: 46-17=29
Current State: 82:[53, 29], Operations: ['66-13=53', '46-17=29']
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
3,
9,
22,
83
] | 51 | [
"3*83=249",
"9*22=198",
"249-198=51"
] | Current State: 51:[3, 9, 22, 83], Operations: []
Exploring Operation: 3*83=249, Resulting Numbers: [9, 22, 249]
Generated Node #2: [9, 22, 249] from Operation: 3*83=249
Current State: 51:[9, 22, 249], Operations: ['3*83=249']
Exploring Operation: 9*22=198, Resulting Numbers: [249, 198]
Generated Node #3: [249, 198] from Operation: 9*22=198
Current State: 51:[249, 198], Operations: ['3*83=249', '9*22=198']
Exploring Operation: 249-198=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
21,
93,
12
] | 48 | [
"2*12=24",
"93-21=72",
"72-24=48"
] | Current State: 48:[2, 21, 93, 12], Operations: []
Exploring Operation: 2*12=24, Resulting Numbers: [21, 93, 24]
Generated Node #2: [21, 93, 24] from Operation: 2*12=24
Current State: 48:[21, 93, 24], Operations: ['2*12=24']
Exploring Operation: 93-21=72, Resulting Numbers: [24, 72]
Generated Node #3: [24, 72] from Operation: 93-21=72
Current State: 48:[24, 72], Operations: ['2*12=24', '93-21=72']
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
25,
41,
91,
78
] | 76 | [
"91-41=50",
"50/25=2",
"78-2=76"
] | Current State: 76:[25, 41, 91, 78], Operations: []
Exploring Operation: 91-41=50, Resulting Numbers: [25, 78, 50]
Generated Node #2: [25, 78, 50] from Operation: 91-41=50
Current State: 76:[25, 78, 50], Operations: ['91-41=50']
Exploring Operation: 50/25=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 50/25=2
Current State: 76:[78, 2], Operations: ['91-41=50', '50/25=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
79,
30,
34,
4
] | 78 | [
"34-30=4",
"4/4=1",
"79-1=78"
] | Current State: 78:[79, 30, 34, 4], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [79, 4, 4]
Generated Node #2: [79, 4, 4] from Operation: 34-30=4
Current State: 78:[79, 4, 4], Operations: ['34-30=4']
Exploring Operation: 4/4=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 4/4=1
Current State: 78:[79, 1], Operations: ['34-30=4', '4/4=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
40,
33,
70,
75
] | 85 | [
"40-33=7",
"70/7=10",
"75+10=85"
] | Current State: 85:[40, 33, 70, 75], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [70, 75, 7]
Generated Node #2: [70, 75, 7] from Operation: 40-33=7
Current State: 85:[70, 75, 7], Operations: ['40-33=7']
Exploring Operation: 70/7=10, Resulting Numbers: [75, 10]
Generated Node #3: [75, 10] from Operation: 70/7=10
Current State: 85:[75, 10], Operations: ['40-33=7', '70/7=10']
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
52,
92,
39,
73
] | 74 | [
"92-52=40",
"73-39=34",
"40+34=74"
] | Current State: 74:[52, 92, 39, 73], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [39, 73, 40]
Generated Node #2: [39, 73, 40] from Operation: 92-52=40
Current State: 74:[39, 73, 40], Operations: ['92-52=40']
Exploring Operation: 73-39=34, Resulting Numbers: [40, 34]
Generated Node #3: [40, 34] from Operation: 73-39=34
Current State: 74:[40, 34], Operations: ['92-52=40', '73-39=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
41,
92,
22,
33
] | 40 | [
"92-41=51",
"33-22=11",
"51-11=40"
] | Current State: 40:[41, 92, 22, 33], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [22, 33, 51]
Generated Node #2: [22, 33, 51] from Operation: 92-41=51
Current State: 40:[22, 33, 51], Operations: ['92-41=51']
Exploring Operation: 33-22=11, Resulting Numbers: [51, 11]
Generated Node #3: [51, 11] from Operation: 33-22=11
Current State: 40:[51, 11], Operations: ['92-41=51', '33-22=11']
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
75,
99,
43,
42
] | 89 | [
"75+99=174",
"43+42=85",
"174-85=89"
] | Current State: 89:[75, 99, 43, 42], Operations: []
Exploring Operation: 75+99=174, Resulting Numbers: [43, 42, 174]
Generated Node #2: [43, 42, 174] from Operation: 75+99=174
Current State: 89:[43, 42, 174], Operations: ['75+99=174']
Exploring Operation: 43+42=85, Resulting Numbers: [174, 85]
Generated Node #3: [174, 85] from Operation: 43+42=85
Current State: 89:[174, 85], Operations: ['75+99=174', '43+42=85']
Exploring Operation: 174-85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
15,
28,
13,
35
] | 91 | [
"15+28=43",
"13+35=48",
"43+48=91"
] | Current State: 91:[15, 28, 13, 35], Operations: []
Exploring Operation: 15+28=43, Resulting Numbers: [13, 35, 43]
Generated Node #2: [13, 35, 43] from Operation: 15+28=43
Current State: 91:[13, 35, 43], Operations: ['15+28=43']
Exploring Operation: 13+35=48, Resulting Numbers: [43, 48]
Generated Node #3: [43, 48] from Operation: 13+35=48
Current State: 91:[43, 48], Operations: ['15+28=43', '13+35=48']
Exploring Operation: 43+48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
85,
62,
56,
31
] | 31 | [
"85-56=29",
"62/31=2",
"29+2=31"
] | Current State: 31:[85, 62, 56, 31], Operations: []
Exploring Operation: 85-56=29, Resulting Numbers: [62, 31, 29]
Generated Node #2: [62, 31, 29] from Operation: 85-56=29
Current State: 31:[62, 31, 29], Operations: ['85-56=29']
Exploring Operation: 62/31=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 62/31=2
Current State: 31:[29, 2], Operations: ['85-56=29', '62/31=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
79,
27,
1,
24
] | 29 | [
"79-27=52",
"24-1=23",
"52-23=29"
] | Current State: 29:[79, 27, 1, 24], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [1, 24, 52]
Generated Node #2: [1, 24, 52] from Operation: 79-27=52
Current State: 29:[1, 24, 52], Operations: ['79-27=52']
Exploring Operation: 24-1=23, Resulting Numbers: [52, 23]
Generated Node #3: [52, 23] from Operation: 24-1=23
Current State: 29:[52, 23], Operations: ['79-27=52', '24-1=23']
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
78,
52,
71,
3
] | 13 | [
"78-71=7",
"7-3=4",
"52/4=13"
] | Current State: 13:[78, 52, 71, 3], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [52, 3, 7]
Generated Node #2: [52, 3, 7] from Operation: 78-71=7
Current State: 13:[52, 3, 7], Operations: ['78-71=7']
Exploring Operation: 7-3=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 7-3=4
Current State: 13:[52, 4], Operations: ['78-71=7', '7-3=4']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
83,
6,
18,
19
] | 77 | [
"83-6=77",
"19-18=1",
"77*1=77"
] | Current State: 77:[83, 6, 18, 19], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [18, 19, 77]
Generated Node #2: [18, 19, 77] from Operation: 83-6=77
Current State: 77:[18, 19, 77], Operations: ['83-6=77']
Exploring Operation: 19-18=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 19-18=1
Current State: 77:[77, 1], Operations: ['83-6=77', '19-18=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
53,
51,
6,
56
] | 100 | [
"53-51=2",
"56-6=50",
"2*50=100"
] | Current State: 100:[53, 51, 6, 56], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [6, 56, 2]
Generated Node #2: [6, 56, 2] from Operation: 53-51=2
Current State: 100:[6, 56, 2], Operations: ['53-51=2']
Exploring Operation: 56-6=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 56-6=50
Current State: 100:[2, 50], Operations: ['53-51=2', '56-6=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
87,
73,
4,
20
] | 30 | [
"87-73=14",
"20-4=16",
"14+16=30"
] | Current State: 30:[87, 73, 4, 20], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [4, 20, 14]
Generated Node #2: [4, 20, 14] from Operation: 87-73=14
Current State: 30:[4, 20, 14], Operations: ['87-73=14']
Exploring Operation: 20-4=16, Resulting Numbers: [14, 16]
Generated Node #3: [14, 16] from Operation: 20-4=16
Current State: 30:[14, 16], Operations: ['87-73=14', '20-4=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
81,
82,
36,
90
] | 42 | [
"36*90=3240",
"3240/81=40",
"82-40=42"
] | Current State: 42:[81, 82, 36, 90], Operations: []
Exploring Operation: 36*90=3240, Resulting Numbers: [81, 82, 3240]
Generated Node #2: [81, 82, 3240] from Operation: 36*90=3240
Current State: 42:[81, 82, 3240], Operations: ['36*90=3240']
Exploring Operation: 3240/81=40, Resulting Numbers: [82, 40]
Generated Node #3: [82, 40] from Operation: 3240/81=40
Current State: 42:[82, 40], Operations: ['36*90=3240', '3240/81=40']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
47,
19,
14,
77
] | 12 | [
"47+19=66",
"14*66=924",
"924/77=12"
] | Current State: 12:[47, 19, 14, 77], Operations: []
Exploring Operation: 47+19=66, Resulting Numbers: [14, 77, 66]
Generated Node #2: [14, 77, 66] from Operation: 47+19=66
Current State: 12:[14, 77, 66], Operations: ['47+19=66']
Exploring Operation: 14*66=924, Resulting Numbers: [77, 924]
Generated Node #3: [77, 924] from Operation: 14*66=924
Current State: 12:[77, 924], Operations: ['47+19=66', '14*66=924']
Exploring Operation: 924/77=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
53,
26,
66,
62
] | 75 | [
"53+26=79",
"66-62=4",
"79-4=75"
] | Current State: 75:[53, 26, 66, 62], Operations: []
Exploring Operation: 53+26=79, Resulting Numbers: [66, 62, 79]
Generated Node #2: [66, 62, 79] from Operation: 53+26=79
Current State: 75:[66, 62, 79], Operations: ['53+26=79']
Exploring Operation: 66-62=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 66-62=4
Current State: 75:[79, 4], Operations: ['53+26=79', '66-62=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
79,
91,
5,
41
] | 99 | [
"79-41=38",
"5*38=190",
"190-91=99"
] | Current State: 99:[79, 91, 5, 41], Operations: []
Exploring Operation: 79-41=38, Resulting Numbers: [91, 5, 38]
Generated Node #2: [91, 5, 38] from Operation: 79-41=38
Current State: 99:[91, 5, 38], Operations: ['79-41=38']
Exploring Operation: 5*38=190, Resulting Numbers: [91, 190]
Generated Node #3: [91, 190] from Operation: 5*38=190
Current State: 99:[91, 190], Operations: ['79-41=38', '5*38=190']
Exploring Operation: 190-91=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
9,
9,
18,
80
] | 63 | [
"9/9=1",
"80-18=62",
"1+62=63"
] | Current State: 63:[9, 9, 18, 80], Operations: []
Exploring Operation: 9/9=1, Resulting Numbers: [18, 80, 1]
Generated Node #2: [18, 80, 1] from Operation: 9/9=1
Current State: 63:[18, 80, 1], Operations: ['9/9=1']
Exploring Operation: 80-18=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 80-18=62
Current State: 63:[1, 62], Operations: ['9/9=1', '80-18=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
80,
94,
3,
4
] | 68 | [
"94-80=14",
"3+14=17",
"4*17=68"
] | Current State: 68:[80, 94, 3, 4], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [3, 4, 14]
Generated Node #2: [3, 4, 14] from Operation: 94-80=14
Current State: 68:[3, 4, 14], Operations: ['94-80=14']
Exploring Operation: 3+14=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 3+14=17
Current State: 68:[4, 17], Operations: ['94-80=14', '3+14=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
21,
15,
23,
27
] | 84 | [
"23-21=2",
"15+27=42",
"2*42=84"
] | Current State: 84:[21, 15, 23, 27], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [15, 27, 2]
Generated Node #2: [15, 27, 2] from Operation: 23-21=2
Current State: 84:[15, 27, 2], Operations: ['23-21=2']
Exploring Operation: 15+27=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 15+27=42
Current State: 84:[2, 42], Operations: ['23-21=2', '15+27=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
52,
77,
12,
32
] | 75 | [
"52+12=64",
"64/32=2",
"77-2=75"
] | Current State: 75:[52, 77, 12, 32], Operations: []
Exploring Operation: 52+12=64, Resulting Numbers: [77, 32, 64]
Generated Node #2: [77, 32, 64] from Operation: 52+12=64
Current State: 75:[77, 32, 64], Operations: ['52+12=64']
Exploring Operation: 64/32=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 64/32=2
Current State: 75:[77, 2], Operations: ['52+12=64', '64/32=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
99,
81,
63,
27
] | 72 | [
"99-81=18",
"63+27=90",
"90-18=72"
] | Current State: 72:[99, 81, 63, 27], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [63, 27, 18]
Generated Node #2: [63, 27, 18] from Operation: 99-81=18
Current State: 72:[63, 27, 18], Operations: ['99-81=18']
Exploring Operation: 63+27=90, Resulting Numbers: [18, 90]
Generated Node #3: [18, 90] from Operation: 63+27=90
Current State: 72:[18, 90], Operations: ['99-81=18', '63+27=90']
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
16,
12,
19,
66
] | 89 | [
"16-12=4",
"19+66=85",
"4+85=89"
] | Current State: 89:[16, 12, 19, 66], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [19, 66, 4]
Generated Node #2: [19, 66, 4] from Operation: 16-12=4
Current State: 89:[19, 66, 4], Operations: ['16-12=4']
Exploring Operation: 19+66=85, Resulting Numbers: [4, 85]
Generated Node #3: [4, 85] from Operation: 19+66=85
Current State: 89:[4, 85], Operations: ['16-12=4', '19+66=85']
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
94,
75,
64,
94
] | 49 | [
"94-75=19",
"94-64=30",
"19+30=49"
] | Current State: 49:[94, 75, 64, 94], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [64, 19]
Generated Node #2: [64, 19] from Operation: 94-75=19
Current State: 49:[64, 19], Operations: ['94-75=19']
Exploring Operation: 94-64=30, Resulting Numbers: [19, 30]
Generated Node #3: [19, 30] from Operation: 94-64=30
Current State: 49:[19, 30], Operations: ['94-75=19', '94-64=30']
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
12,
4,
26,
20
] | 96 | [
"12+4=16",
"26-20=6",
"16*6=96"
] | Current State: 96:[12, 4, 26, 20], Operations: []
Exploring Operation: 12+4=16, Resulting Numbers: [26, 20, 16]
Generated Node #2: [26, 20, 16] from Operation: 12+4=16
Current State: 96:[26, 20, 16], Operations: ['12+4=16']
Exploring Operation: 26-20=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 26-20=6
Current State: 96:[16, 6], Operations: ['12+4=16', '26-20=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
78,
38,
33,
61
] | 88 | [
"78+38=116",
"61-33=28",
"116-28=88"
] | Current State: 88:[78, 38, 33, 61], Operations: []
Exploring Operation: 78+38=116, Resulting Numbers: [33, 61, 116]
Generated Node #2: [33, 61, 116] from Operation: 78+38=116
Current State: 88:[33, 61, 116], Operations: ['78+38=116']
Exploring Operation: 61-33=28, Resulting Numbers: [116, 28]
Generated Node #3: [116, 28] from Operation: 61-33=28
Current State: 88:[116, 28], Operations: ['78+38=116', '61-33=28']
Exploring Operation: 116-28=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
14,
1,
13,
2
] | 56 | [
"14+1=15",
"13+15=28",
"2*28=56"
] | Current State: 56:[14, 1, 13, 2], Operations: []
Exploring Operation: 14+1=15, Resulting Numbers: [13, 2, 15]
Generated Node #2: [13, 2, 15] from Operation: 14+1=15
Current State: 56:[13, 2, 15], Operations: ['14+1=15']
Exploring Operation: 13+15=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 13+15=28
Current State: 56:[2, 28], Operations: ['14+1=15', '13+15=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
33,
6,
90,
12
] | 55 | [
"90-33=57",
"12/6=2",
"57-2=55"
] | Current State: 55:[33, 6, 90, 12], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [6, 12, 57]
Generated Node #2: [6, 12, 57] from Operation: 90-33=57
Current State: 55:[6, 12, 57], Operations: ['90-33=57']
Exploring Operation: 12/6=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 12/6=2
Current State: 55:[57, 2], Operations: ['90-33=57', '12/6=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
1,
46,
92,
36
] | 71 | [
"92/46=2",
"36*2=72",
"72-1=71"
] | Current State: 71:[1, 46, 92, 36], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [1, 36, 2]
Generated Node #2: [1, 36, 2] from Operation: 92/46=2
Current State: 71:[1, 36, 2], Operations: ['92/46=2']
Exploring Operation: 36*2=72, Resulting Numbers: [1, 72]
Generated Node #3: [1, 72] from Operation: 36*2=72
Current State: 71:[1, 72], Operations: ['92/46=2', '36*2=72']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
76,
48,
80,
8
] | 10 | [
"80-76=4",
"48-8=40",
"40/4=10"
] | Current State: 10:[76, 48, 80, 8], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [48, 8, 4]
Generated Node #2: [48, 8, 4] from Operation: 80-76=4
Current State: 10:[48, 8, 4], Operations: ['80-76=4']
Exploring Operation: 48-8=40, Resulting Numbers: [4, 40]
Generated Node #3: [4, 40] from Operation: 48-8=40
Current State: 10:[4, 40], Operations: ['80-76=4', '48-8=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
79,
8,
36,
34
] | 89 | [
"79+8=87",
"36-34=2",
"87+2=89"
] | Current State: 89:[79, 8, 36, 34], Operations: []
Exploring Operation: 79+8=87, Resulting Numbers: [36, 34, 87]
Generated Node #2: [36, 34, 87] from Operation: 79+8=87
Current State: 89:[36, 34, 87], Operations: ['79+8=87']
Exploring Operation: 36-34=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 36-34=2
Current State: 89:[87, 2], Operations: ['79+8=87', '36-34=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
8,
39,
74,
77
] | 63 | [
"77-74=3",
"8*3=24",
"39+24=63"
] | Current State: 63:[8, 39, 74, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [8, 39, 3]
Generated Node #2: [8, 39, 3] from Operation: 77-74=3
Current State: 63:[8, 39, 3], Operations: ['77-74=3']
Exploring Operation: 8*3=24, Resulting Numbers: [39, 24]
Generated Node #3: [39, 24] from Operation: 8*3=24
Current State: 63:[39, 24], Operations: ['77-74=3', '8*3=24']
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
71,
61,
56,
53
] | 44 | [
"71+61=132",
"56-53=3",
"132/3=44"
] | Current State: 44:[71, 61, 56, 53], Operations: []
Exploring Operation: 71+61=132, Resulting Numbers: [56, 53, 132]
Generated Node #2: [56, 53, 132] from Operation: 71+61=132
Current State: 44:[56, 53, 132], Operations: ['71+61=132']
Exploring Operation: 56-53=3, Resulting Numbers: [132, 3]
Generated Node #3: [132, 3] from Operation: 56-53=3
Current State: 44:[132, 3], Operations: ['71+61=132', '56-53=3']
Exploring Operation: 132/3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
49,
33,
46,
94
] | 11 | [
"49+94=143",
"46-33=13",
"143/13=11"
] | Current State: 11:[49, 33, 46, 94], Operations: []
Exploring Operation: 49+94=143, Resulting Numbers: [33, 46, 143]
Generated Node #2: [33, 46, 143] from Operation: 49+94=143
Current State: 11:[33, 46, 143], Operations: ['49+94=143']
Exploring Operation: 46-33=13, Resulting Numbers: [143, 13]
Generated Node #3: [143, 13] from Operation: 46-33=13
Current State: 11:[143, 13], Operations: ['49+94=143', '46-33=13']
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
80,
10,
68,
35
] | 41 | [
"80/10=8",
"68-35=33",
"8+33=41"
] | Current State: 41:[80, 10, 68, 35], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [68, 35, 8]
Generated Node #2: [68, 35, 8] from Operation: 80/10=8
Current State: 41:[68, 35, 8], Operations: ['80/10=8']
Exploring Operation: 68-35=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 68-35=33
Current State: 41:[8, 33], Operations: ['80/10=8', '68-35=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
52,
2,
58,
35
] | 49 | [
"52/2=26",
"58-35=23",
"26+23=49"
] | Current State: 49:[52, 2, 58, 35], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [58, 35, 26]
Generated Node #2: [58, 35, 26] from Operation: 52/2=26
Current State: 49:[58, 35, 26], Operations: ['52/2=26']
Exploring Operation: 58-35=23, Resulting Numbers: [26, 23]
Generated Node #3: [26, 23] from Operation: 58-35=23
Current State: 49:[26, 23], Operations: ['52/2=26', '58-35=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
25,
12,
8,
35
] | 86 | [
"35-25=10",
"12*8=96",
"96-10=86"
] | Current State: 86:[25, 12, 8, 35], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [12, 8, 10]
Generated Node #2: [12, 8, 10] from Operation: 35-25=10
Current State: 86:[12, 8, 10], Operations: ['35-25=10']
Exploring Operation: 12*8=96, Resulting Numbers: [10, 96]
Generated Node #3: [10, 96] from Operation: 12*8=96
Current State: 86:[10, 96], Operations: ['35-25=10', '12*8=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
56,
15,
41,
69
] | 82 | [
"56+15=71",
"71-69=2",
"41*2=82"
] | Current State: 82:[56, 15, 41, 69], Operations: []
Exploring Operation: 56+15=71, Resulting Numbers: [41, 69, 71]
Generated Node #2: [41, 69, 71] from Operation: 56+15=71
Current State: 82:[41, 69, 71], Operations: ['56+15=71']
Exploring Operation: 71-69=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 71-69=2
Current State: 82:[41, 2], Operations: ['56+15=71', '71-69=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
43,
53,
52,
63
] | 47 | [
"43*63=2709",
"53*52=2756",
"2756-2709=47"
] | Current State: 47:[43, 53, 52, 63], Operations: []
Exploring Operation: 43*63=2709, Resulting Numbers: [53, 52, 2709]
Generated Node #2: [53, 52, 2709] from Operation: 43*63=2709
Current State: 47:[53, 52, 2709], Operations: ['43*63=2709']
Exploring Operation: 53*52=2756, Resulting Numbers: [2709, 2756]
Generated Node #3: [2709, 2756] from Operation: 53*52=2756
Current State: 47:[2709, 2756], Operations: ['43*63=2709', '53*52=2756']
Exploring Operation: 2756-2709=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
81,
10,
3,
16
] | 83 | [
"81*3=243",
"10*16=160",
"243-160=83"
] | Current State: 83:[81, 10, 3, 16], Operations: []
Exploring Operation: 81*3=243, Resulting Numbers: [10, 16, 243]
Generated Node #2: [10, 16, 243] from Operation: 81*3=243
Current State: 83:[10, 16, 243], Operations: ['81*3=243']
Exploring Operation: 10*16=160, Resulting Numbers: [243, 160]
Generated Node #3: [243, 160] from Operation: 10*16=160
Current State: 83:[243, 160], Operations: ['81*3=243', '10*16=160']
Exploring Operation: 243-160=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
67,
38,
70,
21
] | 65 | [
"67+38=105",
"105/21=5",
"70-5=65"
] | Current State: 65:[67, 38, 70, 21], Operations: []
Exploring Operation: 67+38=105, Resulting Numbers: [70, 21, 105]
Generated Node #2: [70, 21, 105] from Operation: 67+38=105
Current State: 65:[70, 21, 105], Operations: ['67+38=105']
Exploring Operation: 105/21=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 105/21=5
Current State: 65:[70, 5], Operations: ['67+38=105', '105/21=5']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
32,
2,
12,
18
] | 60 | [
"32-2=30",
"12+18=30",
"30+30=60"
] | Current State: 60:[32, 2, 12, 18], Operations: []
Exploring Operation: 32-2=30, Resulting Numbers: [12, 18, 30]
Generated Node #2: [12, 18, 30] from Operation: 32-2=30
Current State: 60:[12, 18, 30], Operations: ['32-2=30']
Exploring Operation: 12+18=30, Resulting Numbers: [30, 30]
Generated Node #3: [30, 30] from Operation: 12+18=30
Current State: 60:[30, 30], Operations: ['32-2=30', '12+18=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
82,
14,
11
] | 92 | [
"3*82=246",
"14*11=154",
"246-154=92"
] | Current State: 92:[3, 82, 14, 11], Operations: []
Exploring Operation: 3*82=246, Resulting Numbers: [14, 11, 246]
Generated Node #2: [14, 11, 246] from Operation: 3*82=246
Current State: 92:[14, 11, 246], Operations: ['3*82=246']
Exploring Operation: 14*11=154, Resulting Numbers: [246, 154]
Generated Node #3: [246, 154] from Operation: 14*11=154
Current State: 92:[246, 154], Operations: ['3*82=246', '14*11=154']
Exploring Operation: 246-154=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
46,
82,
2,
37
] | 47 | [
"46*2=92",
"82-37=45",
"92-45=47"
] | Current State: 47:[46, 82, 2, 37], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [82, 37, 92]
Generated Node #2: [82, 37, 92] from Operation: 46*2=92
Current State: 47:[82, 37, 92], Operations: ['46*2=92']
Exploring Operation: 82-37=45, Resulting Numbers: [92, 45]
Generated Node #3: [92, 45] from Operation: 82-37=45
Current State: 47:[92, 45], Operations: ['46*2=92', '82-37=45']
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
9,
16,
59,
36
] | 49 | [
"9*16=144",
"59+36=95",
"144-95=49"
] | Current State: 49:[9, 16, 59, 36], Operations: []
Exploring Operation: 9*16=144, Resulting Numbers: [59, 36, 144]
Generated Node #2: [59, 36, 144] from Operation: 9*16=144
Current State: 49:[59, 36, 144], Operations: ['9*16=144']
Exploring Operation: 59+36=95, Resulting Numbers: [144, 95]
Generated Node #3: [144, 95] from Operation: 59+36=95
Current State: 49:[144, 95], Operations: ['9*16=144', '59+36=95']
Exploring Operation: 144-95=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
81,
73,
9,
91
] | 11 | [
"81-73=8",
"91+8=99",
"99/9=11"
] | Current State: 11:[81, 73, 9, 91], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [9, 91, 8]
Generated Node #2: [9, 91, 8] from Operation: 81-73=8
Current State: 11:[9, 91, 8], Operations: ['81-73=8']
Exploring Operation: 91+8=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 91+8=99
Current State: 11:[9, 99], Operations: ['81-73=8', '91+8=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
7,
11,
14,
42
] | 31 | [
"42/7=6",
"11+14=25",
"6+25=31"
] | Current State: 31:[7, 11, 14, 42], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [11, 14, 6]
Generated Node #2: [11, 14, 6] from Operation: 42/7=6
Current State: 31:[11, 14, 6], Operations: ['42/7=6']
Exploring Operation: 11+14=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 11+14=25
Current State: 31:[6, 25], Operations: ['42/7=6', '11+14=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
44,
57,
75,
35
] | 27 | [
"57-44=13",
"75-35=40",
"40-13=27"
] | Current State: 27:[44, 57, 75, 35], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [75, 35, 13]
Generated Node #2: [75, 35, 13] from Operation: 57-44=13
Current State: 27:[75, 35, 13], Operations: ['57-44=13']
Exploring Operation: 75-35=40, Resulting Numbers: [13, 40]
Generated Node #3: [13, 40] from Operation: 75-35=40
Current State: 27:[13, 40], Operations: ['57-44=13', '75-35=40']
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
4,
36,
68,
31
] | 59 | [
"4+36=40",
"68+31=99",
"99-40=59"
] | Current State: 59:[4, 36, 68, 31], Operations: []
Exploring Operation: 4+36=40, Resulting Numbers: [68, 31, 40]
Generated Node #2: [68, 31, 40] from Operation: 4+36=40
Current State: 59:[68, 31, 40], Operations: ['4+36=40']
Exploring Operation: 68+31=99, Resulting Numbers: [40, 99]
Generated Node #3: [40, 99] from Operation: 68+31=99
Current State: 59:[40, 99], Operations: ['4+36=40', '68+31=99']
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
41,
53,
44,
47
] | 97 | [
"41+53=94",
"47-44=3",
"94+3=97"
] | Current State: 97:[41, 53, 44, 47], Operations: []
Exploring Operation: 41+53=94, Resulting Numbers: [44, 47, 94]
Generated Node #2: [44, 47, 94] from Operation: 41+53=94
Current State: 97:[44, 47, 94], Operations: ['41+53=94']
Exploring Operation: 47-44=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 47-44=3
Current State: 97:[94, 3], Operations: ['41+53=94', '47-44=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
34,
42,
70
] | 94 | [
"42-34=8",
"3*8=24",
"70+24=94"
] | Current State: 94:[3, 34, 42, 70], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [3, 70, 8]
Generated Node #2: [3, 70, 8] from Operation: 42-34=8
Current State: 94:[3, 70, 8], Operations: ['42-34=8']
Exploring Operation: 3*8=24, Resulting Numbers: [70, 24]
Generated Node #3: [70, 24] from Operation: 3*8=24
Current State: 94:[70, 24], Operations: ['42-34=8', '3*8=24']
Exploring Operation: 70+24=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
40,
59,
78,
10
] | 87 | [
"59-40=19",
"78-10=68",
"19+68=87"
] | Current State: 87:[40, 59, 78, 10], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [78, 10, 19]
Generated Node #2: [78, 10, 19] from Operation: 59-40=19
Current State: 87:[78, 10, 19], Operations: ['59-40=19']
Exploring Operation: 78-10=68, Resulting Numbers: [19, 68]
Generated Node #3: [19, 68] from Operation: 78-10=68
Current State: 87:[19, 68], Operations: ['59-40=19', '78-10=68']
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
42,
51,
38,
60
] | 19 | [
"42+60=102",
"51*38=1938",
"1938/102=19"
] | Current State: 19:[42, 51, 38, 60], Operations: []
Exploring Operation: 42+60=102, Resulting Numbers: [51, 38, 102]
Generated Node #2: [51, 38, 102] from Operation: 42+60=102
Current State: 19:[51, 38, 102], Operations: ['42+60=102']
Exploring Operation: 51*38=1938, Resulting Numbers: [102, 1938]
Generated Node #3: [102, 1938] from Operation: 51*38=1938
Current State: 19:[102, 1938], Operations: ['42+60=102', '51*38=1938']
Exploring Operation: 1938/102=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
67,
69,
37,
46
] | 20 | [
"67-37=30",
"46*30=1380",
"1380/69=20"
] | Current State: 20:[67, 69, 37, 46], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [69, 46, 30]
Generated Node #2: [69, 46, 30] from Operation: 67-37=30
Current State: 20:[69, 46, 30], Operations: ['67-37=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [69, 1380]
Generated Node #3: [69, 1380] from Operation: 46*30=1380
Current State: 20:[69, 1380], Operations: ['67-37=30', '46*30=1380']
Exploring Operation: 1380/69=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
58,
55,
44,
73
] | 39 | [
"58-55=3",
"44+73=117",
"117/3=39"
] | Current State: 39:[58, 55, 44, 73], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [44, 73, 3]
Generated Node #2: [44, 73, 3] from Operation: 58-55=3
Current State: 39:[44, 73, 3], Operations: ['58-55=3']
Exploring Operation: 44+73=117, Resulting Numbers: [3, 117]
Generated Node #3: [3, 117] from Operation: 44+73=117
Current State: 39:[3, 117], Operations: ['58-55=3', '44+73=117']
Exploring Operation: 117/3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
33,
49,
37,
50
] | 71 | [
"49-33=16",
"37+50=87",
"87-16=71"
] | Current State: 71:[33, 49, 37, 50], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [37, 50, 16]
Generated Node #2: [37, 50, 16] from Operation: 49-33=16
Current State: 71:[37, 50, 16], Operations: ['49-33=16']
Exploring Operation: 37+50=87, Resulting Numbers: [16, 87]
Generated Node #3: [16, 87] from Operation: 37+50=87
Current State: 71:[16, 87], Operations: ['49-33=16', '37+50=87']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
60,
93,
44,
76
] | 57 | [
"93-60=33",
"76*33=2508",
"2508/44=57"
] | Current State: 57:[60, 93, 44, 76], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [44, 76, 33]
Generated Node #2: [44, 76, 33] from Operation: 93-60=33
Current State: 57:[44, 76, 33], Operations: ['93-60=33']
Exploring Operation: 76*33=2508, Resulting Numbers: [44, 2508]
Generated Node #3: [44, 2508] from Operation: 76*33=2508
Current State: 57:[44, 2508], Operations: ['93-60=33', '76*33=2508']
Exploring Operation: 2508/44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
85,
9,
62,
93
] | 61 | [
"85+9=94",
"62+93=155",
"155-94=61"
] | Current State: 61:[85, 9, 62, 93], Operations: []
Exploring Operation: 85+9=94, Resulting Numbers: [62, 93, 94]
Generated Node #2: [62, 93, 94] from Operation: 85+9=94
Current State: 61:[62, 93, 94], Operations: ['85+9=94']
Exploring Operation: 62+93=155, Resulting Numbers: [94, 155]
Generated Node #3: [94, 155] from Operation: 62+93=155
Current State: 61:[94, 155], Operations: ['85+9=94', '62+93=155']
Exploring Operation: 155-94=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
95,
62,
98,
64
] | 49 | [
"95-64=31",
"62/31=2",
"98/2=49"
] | Current State: 49:[95, 62, 98, 64], Operations: []
Exploring Operation: 95-64=31, Resulting Numbers: [62, 98, 31]
Generated Node #2: [62, 98, 31] from Operation: 95-64=31
Current State: 49:[62, 98, 31], Operations: ['95-64=31']
Exploring Operation: 62/31=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 62/31=2
Current State: 49:[98, 2], Operations: ['95-64=31', '62/31=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
4,
45,
14,
69
] | 42 | [
"45-4=41",
"14+69=83",
"83-41=42"
] | Current State: 42:[4, 45, 14, 69], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [14, 69, 41]
Generated Node #2: [14, 69, 41] from Operation: 45-4=41
Current State: 42:[14, 69, 41], Operations: ['45-4=41']
Exploring Operation: 14+69=83, Resulting Numbers: [41, 83]
Generated Node #3: [41, 83] from Operation: 14+69=83
Current State: 42:[41, 83], Operations: ['45-4=41', '14+69=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
81,
37,
46,
72
] | 73 | [
"46-37=9",
"72/9=8",
"81-8=73"
] | Current State: 73:[81, 37, 46, 72], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [81, 72, 9]
Generated Node #2: [81, 72, 9] from Operation: 46-37=9
Current State: 73:[81, 72, 9], Operations: ['46-37=9']
Exploring Operation: 72/9=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 72/9=8
Current State: 73:[81, 8], Operations: ['46-37=9', '72/9=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
89,
67,
2,
52
] | 59 | [
"89*2=178",
"67+52=119",
"178-119=59"
] | Current State: 59:[89, 67, 2, 52], Operations: []
Exploring Operation: 89*2=178, Resulting Numbers: [67, 52, 178]
Generated Node #2: [67, 52, 178] from Operation: 89*2=178
Current State: 59:[67, 52, 178], Operations: ['89*2=178']
Exploring Operation: 67+52=119, Resulting Numbers: [178, 119]
Generated Node #3: [178, 119] from Operation: 67+52=119
Current State: 59:[178, 119], Operations: ['89*2=178', '67+52=119']
Exploring Operation: 178-119=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
18,
6,
61,
12
] | 59 | [
"18+6=24",
"24/12=2",
"61-2=59"
] | Current State: 59:[18, 6, 61, 12], Operations: []
Exploring Operation: 18+6=24, Resulting Numbers: [61, 12, 24]
Generated Node #2: [61, 12, 24] from Operation: 18+6=24
Current State: 59:[61, 12, 24], Operations: ['18+6=24']
Exploring Operation: 24/12=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 24/12=2
Current State: 59:[61, 2], Operations: ['18+6=24', '24/12=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
34,
66,
99,
38
] | 91 | [
"99*38=3762",
"3762/66=57",
"34+57=91"
] | Current State: 91:[34, 66, 99, 38], Operations: []
Exploring Operation: 99*38=3762, Resulting Numbers: [34, 66, 3762]
Generated Node #2: [34, 66, 3762] from Operation: 99*38=3762
Current State: 91:[34, 66, 3762], Operations: ['99*38=3762']
Exploring Operation: 3762/66=57, Resulting Numbers: [34, 57]
Generated Node #3: [34, 57] from Operation: 3762/66=57
Current State: 91:[34, 57], Operations: ['99*38=3762', '3762/66=57']
Exploring Operation: 34+57=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
18,
23,
6,
53
] | 64 | [
"23-18=5",
"6+53=59",
"5+59=64"
] | Current State: 64:[18, 23, 6, 53], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [6, 53, 5]
Generated Node #2: [6, 53, 5] from Operation: 23-18=5
Current State: 64:[6, 53, 5], Operations: ['23-18=5']
Exploring Operation: 6+53=59, Resulting Numbers: [5, 59]
Generated Node #3: [5, 59] from Operation: 6+53=59
Current State: 64:[5, 59], Operations: ['23-18=5', '6+53=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
89,
39,
34,
34
] | 50 | [
"89-39=50",
"34-34=0",
"50+0=50"
] | Current State: 50:[89, 39, 34, 34], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [34, 34, 50]
Generated Node #2: [34, 34, 50] from Operation: 89-39=50
Current State: 50:[34, 34, 50], Operations: ['89-39=50']
Exploring Operation: 34-34=0, Resulting Numbers: [50, 0]
Generated Node #3: [50, 0] from Operation: 34-34=0
Current State: 50:[50, 0], Operations: ['89-39=50', '34-34=0']
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
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