nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
71,
29,
43,
38
] | 26 | [
"71+43=114",
"114/38=3",
"29-3=26"
] | Current State: 26:[71, 29, 43, 38], Operations: []
Exploring Operation: 71+43=114, Resulting Numbers: [29, 38, 114]
Generated Node #2: [29, 38, 114] from Operation: 71+43=114
Current State: 26:[29, 38, 114], Operations: ['71+43=114']
Exploring Operation: 114/38=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 114/38=3
Current State: 26:[29, 3], Operations: ['71+43=114', '114/38=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
66,
72,
63
] | 48 | [
"72+72=144",
"66-63=3",
"144/3=48"
] | Current State: 48:[72, 66, 72, 63], Operations: []
Exploring Operation: 72+72=144, Resulting Numbers: [66, 63, 144]
Generated Node #2: [66, 63, 144] from Operation: 72+72=144
Current State: 48:[66, 63, 144], Operations: ['72+72=144']
Exploring Operation: 66-63=3, Resulting Numbers: [144, 3]
Generated Node #3: [144, 3] from Operation: 66-63=3
Current State: 48:[144, 3], Operations: ['72+72=144', '66-63=3']
Exploring Operation: 144/3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
44,
20,
38,
71
] | 15 | [
"71-38=33",
"20*33=660",
"660/44=15"
] | Current State: 15:[44, 20, 38, 71], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [44, 20, 33]
Generated Node #2: [44, 20, 33] from Operation: 71-38=33
Current State: 15:[44, 20, 33], Operations: ['71-38=33']
Exploring Operation: 20*33=660, Resulting Numbers: [44, 660]
Generated Node #3: [44, 660] from Operation: 20*33=660
Current State: 15:[44, 660], Operations: ['71-38=33', '20*33=660']
Exploring Operation: 660/44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
80,
21,
32,
59
] | 10 | [
"80+21=101",
"32+59=91",
"101-91=10"
] | Current State: 10:[80, 21, 32, 59], Operations: []
Exploring Operation: 80+21=101, Resulting Numbers: [32, 59, 101]
Generated Node #2: [32, 59, 101] from Operation: 80+21=101
Current State: 10:[32, 59, 101], Operations: ['80+21=101']
Exploring Operation: 32+59=91, Resulting Numbers: [101, 91]
Generated Node #3: [101, 91] from Operation: 32+59=91
Current State: 10:[101, 91], Operations: ['80+21=101', '32+59=91']
Exploring Operation: 101-91=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
27,
9,
89,
59
] | 12 | [
"27-9=18",
"89-59=30",
"30-18=12"
] | Current State: 12:[27, 9, 89, 59], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [89, 59, 18]
Generated Node #2: [89, 59, 18] from Operation: 27-9=18
Current State: 12:[89, 59, 18], Operations: ['27-9=18']
Exploring Operation: 89-59=30, Resulting Numbers: [18, 30]
Generated Node #3: [18, 30] from Operation: 89-59=30
Current State: 12:[18, 30], Operations: ['27-9=18', '89-59=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
37,
54,
46
] | 25 | [
"2*54=108",
"37+46=83",
"108-83=25"
] | Current State: 25:[2, 37, 54, 46], Operations: []
Exploring Operation: 2*54=108, Resulting Numbers: [37, 46, 108]
Generated Node #2: [37, 46, 108] from Operation: 2*54=108
Current State: 25:[37, 46, 108], Operations: ['2*54=108']
Exploring Operation: 37+46=83, Resulting Numbers: [108, 83]
Generated Node #3: [108, 83] from Operation: 37+46=83
Current State: 25:[108, 83], Operations: ['2*54=108', '37+46=83']
Exploring Operation: 108-83=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
69,
91,
68,
52
] | 38 | [
"91-69=22",
"68-52=16",
"22+16=38"
] | Current State: 38:[69, 91, 68, 52], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [68, 52, 22]
Generated Node #2: [68, 52, 22] from Operation: 91-69=22
Current State: 38:[68, 52, 22], Operations: ['91-69=22']
Exploring Operation: 68-52=16, Resulting Numbers: [22, 16]
Generated Node #3: [22, 16] from Operation: 68-52=16
Current State: 38:[22, 16], Operations: ['91-69=22', '68-52=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
41,
26,
23,
47
] | 76 | [
"26-23=3",
"41*3=123",
"123-47=76"
] | Current State: 76:[41, 26, 23, 47], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [41, 47, 3]
Generated Node #2: [41, 47, 3] from Operation: 26-23=3
Current State: 76:[41, 47, 3], Operations: ['26-23=3']
Exploring Operation: 41*3=123, Resulting Numbers: [47, 123]
Generated Node #3: [47, 123] from Operation: 41*3=123
Current State: 76:[47, 123], Operations: ['26-23=3', '41*3=123']
Exploring Operation: 123-47=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
71,
32,
84,
8
] | 50 | [
"32/8=4",
"84/4=21",
"71-21=50"
] | Current State: 50:[71, 32, 84, 8], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [71, 84, 4]
Generated Node #2: [71, 84, 4] from Operation: 32/8=4
Current State: 50:[71, 84, 4], Operations: ['32/8=4']
Exploring Operation: 84/4=21, Resulting Numbers: [71, 21]
Generated Node #3: [71, 21] from Operation: 84/4=21
Current State: 50:[71, 21], Operations: ['32/8=4', '84/4=21']
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
9,
87,
7,
73
] | 30 | [
"9+87=96",
"73-7=66",
"96-66=30"
] | Current State: 30:[9, 87, 7, 73], Operations: []
Exploring Operation: 9+87=96, Resulting Numbers: [7, 73, 96]
Generated Node #2: [7, 73, 96] from Operation: 9+87=96
Current State: 30:[7, 73, 96], Operations: ['9+87=96']
Exploring Operation: 73-7=66, Resulting Numbers: [96, 66]
Generated Node #3: [96, 66] from Operation: 73-7=66
Current State: 30:[96, 66], Operations: ['9+87=96', '73-7=66']
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
60,
69,
77,
46
] | 37 | [
"60*46=2760",
"2760/69=40",
"77-40=37"
] | Current State: 37:[60, 69, 77, 46], Operations: []
Exploring Operation: 60*46=2760, Resulting Numbers: [69, 77, 2760]
Generated Node #2: [69, 77, 2760] from Operation: 60*46=2760
Current State: 37:[69, 77, 2760], Operations: ['60*46=2760']
Exploring Operation: 2760/69=40, Resulting Numbers: [77, 40]
Generated Node #3: [77, 40] from Operation: 2760/69=40
Current State: 37:[77, 40], Operations: ['60*46=2760', '2760/69=40']
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
47,
27,
40,
13
] | 46 | [
"40-27=13",
"13/13=1",
"47-1=46"
] | Current State: 46:[47, 27, 40, 13], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [47, 13, 13]
Generated Node #2: [47, 13, 13] from Operation: 40-27=13
Current State: 46:[47, 13, 13], Operations: ['40-27=13']
Exploring Operation: 13/13=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 13/13=1
Current State: 46:[47, 1], Operations: ['40-27=13', '13/13=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
13,
20,
5,
17
] | 35 | [
"13*20=260",
"260/5=52",
"52-17=35"
] | Current State: 35:[13, 20, 5, 17], Operations: []
Exploring Operation: 13*20=260, Resulting Numbers: [5, 17, 260]
Generated Node #2: [5, 17, 260] from Operation: 13*20=260
Current State: 35:[5, 17, 260], Operations: ['13*20=260']
Exploring Operation: 260/5=52, Resulting Numbers: [17, 52]
Generated Node #3: [17, 52] from Operation: 260/5=52
Current State: 35:[17, 52], Operations: ['13*20=260', '260/5=52']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
21,
45,
8,
55
] | 42 | [
"45+8=53",
"55-53=2",
"21*2=42"
] | Current State: 42:[21, 45, 8, 55], Operations: []
Exploring Operation: 45+8=53, Resulting Numbers: [21, 55, 53]
Generated Node #2: [21, 55, 53] from Operation: 45+8=53
Current State: 42:[21, 55, 53], Operations: ['45+8=53']
Exploring Operation: 55-53=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 55-53=2
Current State: 42:[21, 2], Operations: ['45+8=53', '55-53=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
44,
11,
75,
43
] | 65 | [
"44-11=33",
"75-43=32",
"33+32=65"
] | Current State: 65:[44, 11, 75, 43], Operations: []
Exploring Operation: 44-11=33, Resulting Numbers: [75, 43, 33]
Generated Node #2: [75, 43, 33] from Operation: 44-11=33
Current State: 65:[75, 43, 33], Operations: ['44-11=33']
Exploring Operation: 75-43=32, Resulting Numbers: [33, 32]
Generated Node #3: [33, 32] from Operation: 75-43=32
Current State: 65:[33, 32], Operations: ['44-11=33', '75-43=32']
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
29,
52,
98,
3
] | 71 | [
"29+52=81",
"81/3=27",
"98-27=71"
] | Current State: 71:[29, 52, 98, 3], Operations: []
Exploring Operation: 29+52=81, Resulting Numbers: [98, 3, 81]
Generated Node #2: [98, 3, 81] from Operation: 29+52=81
Current State: 71:[98, 3, 81], Operations: ['29+52=81']
Exploring Operation: 81/3=27, Resulting Numbers: [98, 27]
Generated Node #3: [98, 27] from Operation: 81/3=27
Current State: 71:[98, 27], Operations: ['29+52=81', '81/3=27']
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
92,
84,
26,
44
] | 30 | [
"92+84=176",
"176/44=4",
"26+4=30"
] | Current State: 30:[92, 84, 26, 44], Operations: []
Exploring Operation: 92+84=176, Resulting Numbers: [26, 44, 176]
Generated Node #2: [26, 44, 176] from Operation: 92+84=176
Current State: 30:[26, 44, 176], Operations: ['92+84=176']
Exploring Operation: 176/44=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 176/44=4
Current State: 30:[26, 4], Operations: ['92+84=176', '176/44=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
83,
27,
62
] | 33 | [
"2*27=54",
"83-62=21",
"54-21=33"
] | Current State: 33:[2, 83, 27, 62], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [83, 62, 54]
Generated Node #2: [83, 62, 54] from Operation: 2*27=54
Current State: 33:[83, 62, 54], Operations: ['2*27=54']
Exploring Operation: 83-62=21, Resulting Numbers: [54, 21]
Generated Node #3: [54, 21] from Operation: 83-62=21
Current State: 33:[54, 21], Operations: ['2*27=54', '83-62=21']
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
30,
54,
8,
16
] | 42 | [
"30+54=84",
"16/8=2",
"84/2=42"
] | Current State: 42:[30, 54, 8, 16], Operations: []
Exploring Operation: 30+54=84, Resulting Numbers: [8, 16, 84]
Generated Node #2: [8, 16, 84] from Operation: 30+54=84
Current State: 42:[8, 16, 84], Operations: ['30+54=84']
Exploring Operation: 16/8=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 16/8=2
Current State: 42:[84, 2], Operations: ['30+54=84', '16/8=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
48,
5,
44,
7
] | 46 | [
"48+44=92",
"7-5=2",
"92/2=46"
] | Current State: 46:[48, 5, 44, 7], Operations: []
Exploring Operation: 48+44=92, Resulting Numbers: [5, 7, 92]
Generated Node #2: [5, 7, 92] from Operation: 48+44=92
Current State: 46:[5, 7, 92], Operations: ['48+44=92']
Exploring Operation: 7-5=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 7-5=2
Current State: 46:[92, 2], Operations: ['48+44=92', '7-5=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
1,
90,
66,
30
] | 33 | [
"90/30=3",
"3-1=2",
"66/2=33"
] | Current State: 33:[1, 90, 66, 30], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [1, 66, 3]
Generated Node #2: [1, 66, 3] from Operation: 90/30=3
Current State: 33:[1, 66, 3], Operations: ['90/30=3']
Exploring Operation: 3-1=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 3-1=2
Current State: 33:[66, 2], Operations: ['90/30=3', '3-1=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
69,
63,
89,
24
] | 35 | [
"89*24=2136",
"69+2136=2205",
"2205/63=35"
] | Current State: 35:[69, 63, 89, 24], Operations: []
Exploring Operation: 89*24=2136, Resulting Numbers: [69, 63, 2136]
Generated Node #2: [69, 63, 2136] from Operation: 89*24=2136
Current State: 35:[69, 63, 2136], Operations: ['89*24=2136']
Exploring Operation: 69+2136=2205, Resulting Numbers: [63, 2205]
Generated Node #3: [63, 2205] from Operation: 69+2136=2205
Current State: 35:[63, 2205], Operations: ['89*24=2136', '69+2136=2205']
Exploring Operation: 2205/63=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
84,
37,
10
] | 31 | [
"9*10=90",
"84+37=121",
"121-90=31"
] | Current State: 31:[9, 84, 37, 10], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [84, 37, 90]
Generated Node #2: [84, 37, 90] from Operation: 9*10=90
Current State: 31:[84, 37, 90], Operations: ['9*10=90']
Exploring Operation: 84+37=121, Resulting Numbers: [90, 121]
Generated Node #3: [90, 121] from Operation: 84+37=121
Current State: 31:[90, 121], Operations: ['9*10=90', '84+37=121']
Exploring Operation: 121-90=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
97,
75,
25,
15
] | 92 | [
"75/25=3",
"15/3=5",
"97-5=92"
] | Current State: 92:[97, 75, 25, 15], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [97, 15, 3]
Generated Node #2: [97, 15, 3] from Operation: 75/25=3
Current State: 92:[97, 15, 3], Operations: ['75/25=3']
Exploring Operation: 15/3=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 15/3=5
Current State: 92:[97, 5], Operations: ['75/25=3', '15/3=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
29,
24,
19
] | 23 | [
"29-9=20",
"24+19=43",
"43-20=23"
] | Current State: 23:[9, 29, 24, 19], Operations: []
Exploring Operation: 29-9=20, Resulting Numbers: [24, 19, 20]
Generated Node #2: [24, 19, 20] from Operation: 29-9=20
Current State: 23:[24, 19, 20], Operations: ['29-9=20']
Exploring Operation: 24+19=43, Resulting Numbers: [20, 43]
Generated Node #3: [20, 43] from Operation: 24+19=43
Current State: 23:[20, 43], Operations: ['29-9=20', '24+19=43']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
65,
69,
50,
1
] | 83 | [
"65+69=134",
"50+1=51",
"134-51=83"
] | Current State: 83:[65, 69, 50, 1], Operations: []
Exploring Operation: 65+69=134, Resulting Numbers: [50, 1, 134]
Generated Node #2: [50, 1, 134] from Operation: 65+69=134
Current State: 83:[50, 1, 134], Operations: ['65+69=134']
Exploring Operation: 50+1=51, Resulting Numbers: [134, 51]
Generated Node #3: [134, 51] from Operation: 50+1=51
Current State: 83:[134, 51], Operations: ['65+69=134', '50+1=51']
Exploring Operation: 134-51=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
6,
34,
27,
81
] | 43 | [
"6+34=40",
"81/27=3",
"40+3=43"
] | Current State: 43:[6, 34, 27, 81], Operations: []
Exploring Operation: 6+34=40, Resulting Numbers: [27, 81, 40]
Generated Node #2: [27, 81, 40] from Operation: 6+34=40
Current State: 43:[27, 81, 40], Operations: ['6+34=40']
Exploring Operation: 81/27=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 81/27=3
Current State: 43:[40, 3], Operations: ['6+34=40', '81/27=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
41,
82,
9,
45
] | 13 | [
"82-41=41",
"9+45=54",
"54-41=13"
] | Current State: 13:[41, 82, 9, 45], Operations: []
Exploring Operation: 82-41=41, Resulting Numbers: [9, 45, 41]
Generated Node #2: [9, 45, 41] from Operation: 82-41=41
Current State: 13:[9, 45, 41], Operations: ['82-41=41']
Exploring Operation: 9+45=54, Resulting Numbers: [41, 54]
Generated Node #3: [41, 54] from Operation: 9+45=54
Current State: 13:[41, 54], Operations: ['82-41=41', '9+45=54']
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
20,
4,
96,
60
] | 60 | [
"20+4=24",
"96-60=36",
"24+36=60"
] | Current State: 60:[20, 4, 96, 60], Operations: []
Exploring Operation: 20+4=24, Resulting Numbers: [96, 60, 24]
Generated Node #2: [96, 60, 24] from Operation: 20+4=24
Current State: 60:[96, 60, 24], Operations: ['20+4=24']
Exploring Operation: 96-60=36, Resulting Numbers: [24, 36]
Generated Node #3: [24, 36] from Operation: 96-60=36
Current State: 60:[24, 36], Operations: ['20+4=24', '96-60=36']
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
97,
22,
51,
10
] | 58 | [
"97+22=119",
"51+10=61",
"119-61=58"
] | Current State: 58:[97, 22, 51, 10], Operations: []
Exploring Operation: 97+22=119, Resulting Numbers: [51, 10, 119]
Generated Node #2: [51, 10, 119] from Operation: 97+22=119
Current State: 58:[51, 10, 119], Operations: ['97+22=119']
Exploring Operation: 51+10=61, Resulting Numbers: [119, 61]
Generated Node #3: [119, 61] from Operation: 51+10=61
Current State: 58:[119, 61], Operations: ['97+22=119', '51+10=61']
Exploring Operation: 119-61=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
88,
32,
4,
93
] | 13 | [
"93-88=5",
"32/4=8",
"5+8=13"
] | Current State: 13:[88, 32, 4, 93], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [32, 4, 5]
Generated Node #2: [32, 4, 5] from Operation: 93-88=5
Current State: 13:[32, 4, 5], Operations: ['93-88=5']
Exploring Operation: 32/4=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 32/4=8
Current State: 13:[5, 8], Operations: ['93-88=5', '32/4=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
5,
30,
44,
43
] | 34 | [
"5+30=35",
"44-43=1",
"35-1=34"
] | Current State: 34:[5, 30, 44, 43], Operations: []
Exploring Operation: 5+30=35, Resulting Numbers: [44, 43, 35]
Generated Node #2: [44, 43, 35] from Operation: 5+30=35
Current State: 34:[44, 43, 35], Operations: ['5+30=35']
Exploring Operation: 44-43=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 44-43=1
Current State: 34:[35, 1], Operations: ['5+30=35', '44-43=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
73,
98,
16,
98
] | 57 | [
"73+98=171",
"16+98=114",
"171-114=57"
] | Current State: 57:[73, 98, 16, 98], Operations: []
Exploring Operation: 73+98=171, Resulting Numbers: [16, 171]
Generated Node #2: [16, 171] from Operation: 73+98=171
Current State: 57:[16, 171], Operations: ['73+98=171']
Exploring Operation: 16+98=114, Resulting Numbers: [171, 114]
Generated Node #3: [171, 114] from Operation: 16+98=114
Current State: 57:[171, 114], Operations: ['73+98=171', '16+98=114']
Exploring Operation: 171-114=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
28,
31,
16,
92
] | 60 | [
"28*31=868",
"92+868=960",
"960/16=60"
] | Current State: 60:[28, 31, 16, 92], Operations: []
Exploring Operation: 28*31=868, Resulting Numbers: [16, 92, 868]
Generated Node #2: [16, 92, 868] from Operation: 28*31=868
Current State: 60:[16, 92, 868], Operations: ['28*31=868']
Exploring Operation: 92+868=960, Resulting Numbers: [16, 960]
Generated Node #3: [16, 960] from Operation: 92+868=960
Current State: 60:[16, 960], Operations: ['28*31=868', '92+868=960']
Exploring Operation: 960/16=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
11,
93,
29,
75
] | 22 | [
"93-11=82",
"29+75=104",
"104-82=22"
] | Current State: 22:[11, 93, 29, 75], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [29, 75, 82]
Generated Node #2: [29, 75, 82] from Operation: 93-11=82
Current State: 22:[29, 75, 82], Operations: ['93-11=82']
Exploring Operation: 29+75=104, Resulting Numbers: [82, 104]
Generated Node #3: [82, 104] from Operation: 29+75=104
Current State: 22:[82, 104], Operations: ['93-11=82', '29+75=104']
Exploring Operation: 104-82=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
6,
15,
94,
25
] | 78 | [
"15-6=9",
"94-25=69",
"9+69=78"
] | Current State: 78:[6, 15, 94, 25], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [94, 25, 9]
Generated Node #2: [94, 25, 9] from Operation: 15-6=9
Current State: 78:[94, 25, 9], Operations: ['15-6=9']
Exploring Operation: 94-25=69, Resulting Numbers: [9, 69]
Generated Node #3: [9, 69] from Operation: 94-25=69
Current State: 78:[9, 69], Operations: ['15-6=9', '94-25=69']
Exploring Operation: 9+69=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
60,
3,
81,
20
] | 13 | [
"81-60=21",
"21/3=7",
"20-7=13"
] | Current State: 13:[60, 3, 81, 20], Operations: []
Exploring Operation: 81-60=21, Resulting Numbers: [3, 20, 21]
Generated Node #2: [3, 20, 21] from Operation: 81-60=21
Current State: 13:[3, 20, 21], Operations: ['81-60=21']
Exploring Operation: 21/3=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 21/3=7
Current State: 13:[20, 7], Operations: ['81-60=21', '21/3=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
46,
65,
94,
2
] | 67 | [
"46*2=92",
"65+94=159",
"159-92=67"
] | Current State: 67:[46, 65, 94, 2], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [65, 94, 92]
Generated Node #2: [65, 94, 92] from Operation: 46*2=92
Current State: 67:[65, 94, 92], Operations: ['46*2=92']
Exploring Operation: 65+94=159, Resulting Numbers: [92, 159]
Generated Node #3: [92, 159] from Operation: 65+94=159
Current State: 67:[92, 159], Operations: ['46*2=92', '65+94=159']
Exploring Operation: 159-92=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
25,
23,
42,
1
] | 43 | [
"25-23=2",
"42-1=41",
"2+41=43"
] | Current State: 43:[25, 23, 42, 1], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [42, 1, 2]
Generated Node #2: [42, 1, 2] from Operation: 25-23=2
Current State: 43:[42, 1, 2], Operations: ['25-23=2']
Exploring Operation: 42-1=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 42-1=41
Current State: 43:[2, 41], Operations: ['25-23=2', '42-1=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
9,
7,
93,
21
] | 51 | [
"9*7=63",
"93+21=114",
"114-63=51"
] | Current State: 51:[9, 7, 93, 21], Operations: []
Exploring Operation: 9*7=63, Resulting Numbers: [93, 21, 63]
Generated Node #2: [93, 21, 63] from Operation: 9*7=63
Current State: 51:[93, 21, 63], Operations: ['9*7=63']
Exploring Operation: 93+21=114, Resulting Numbers: [63, 114]
Generated Node #3: [63, 114] from Operation: 93+21=114
Current State: 51:[63, 114], Operations: ['9*7=63', '93+21=114']
Exploring Operation: 114-63=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
25,
72,
17,
65
] | 95 | [
"72-25=47",
"65-17=48",
"47+48=95"
] | Current State: 95:[25, 72, 17, 65], Operations: []
Exploring Operation: 72-25=47, Resulting Numbers: [17, 65, 47]
Generated Node #2: [17, 65, 47] from Operation: 72-25=47
Current State: 95:[17, 65, 47], Operations: ['72-25=47']
Exploring Operation: 65-17=48, Resulting Numbers: [47, 48]
Generated Node #3: [47, 48] from Operation: 65-17=48
Current State: 95:[47, 48], Operations: ['72-25=47', '65-17=48']
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
36,
65,
24,
19
] | 96 | [
"36+65=101",
"24-19=5",
"101-5=96"
] | Current State: 96:[36, 65, 24, 19], Operations: []
Exploring Operation: 36+65=101, Resulting Numbers: [24, 19, 101]
Generated Node #2: [24, 19, 101] from Operation: 36+65=101
Current State: 96:[24, 19, 101], Operations: ['36+65=101']
Exploring Operation: 24-19=5, Resulting Numbers: [101, 5]
Generated Node #3: [101, 5] from Operation: 24-19=5
Current State: 96:[101, 5], Operations: ['36+65=101', '24-19=5']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
9,
45,
81,
8
] | 36 | [
"81-9=72",
"72/8=9",
"45-9=36"
] | Current State: 36:[9, 45, 81, 8], Operations: []
Exploring Operation: 81-9=72, Resulting Numbers: [45, 8, 72]
Generated Node #2: [45, 8, 72] from Operation: 81-9=72
Current State: 36:[45, 8, 72], Operations: ['81-9=72']
Exploring Operation: 72/8=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 72/8=9
Current State: 36:[45, 9], Operations: ['81-9=72', '72/8=9']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
97,
3,
40,
58
] | 53 | [
"97-58=39",
"39/3=13",
"40+13=53"
] | Current State: 53:[97, 3, 40, 58], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [3, 40, 39]
Generated Node #2: [3, 40, 39] from Operation: 97-58=39
Current State: 53:[3, 40, 39], Operations: ['97-58=39']
Exploring Operation: 39/3=13, Resulting Numbers: [40, 13]
Generated Node #3: [40, 13] from Operation: 39/3=13
Current State: 53:[40, 13], Operations: ['97-58=39', '39/3=13']
Exploring Operation: 40+13=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
45,
16,
68
] | 41 | [
"72-68=4",
"16/4=4",
"45-4=41"
] | Current State: 41:[72, 45, 16, 68], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [45, 16, 4]
Generated Node #2: [45, 16, 4] from Operation: 72-68=4
Current State: 41:[45, 16, 4], Operations: ['72-68=4']
Exploring Operation: 16/4=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 16/4=4
Current State: 41:[45, 4], Operations: ['72-68=4', '16/4=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
16,
58,
78,
32
] | 24 | [
"58*32=1856",
"16+1856=1872",
"1872/78=24"
] | Current State: 24:[16, 58, 78, 32], Operations: []
Exploring Operation: 58*32=1856, Resulting Numbers: [16, 78, 1856]
Generated Node #2: [16, 78, 1856] from Operation: 58*32=1856
Current State: 24:[16, 78, 1856], Operations: ['58*32=1856']
Exploring Operation: 16+1856=1872, Resulting Numbers: [78, 1872]
Generated Node #3: [78, 1872] from Operation: 16+1856=1872
Current State: 24:[78, 1872], Operations: ['58*32=1856', '16+1856=1872']
Exploring Operation: 1872/78=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
60,
85,
84,
40
] | 21 | [
"60+85=145",
"84+40=124",
"145-124=21"
] | Current State: 21:[60, 85, 84, 40], Operations: []
Exploring Operation: 60+85=145, Resulting Numbers: [84, 40, 145]
Generated Node #2: [84, 40, 145] from Operation: 60+85=145
Current State: 21:[84, 40, 145], Operations: ['60+85=145']
Exploring Operation: 84+40=124, Resulting Numbers: [145, 124]
Generated Node #3: [145, 124] from Operation: 84+40=124
Current State: 21:[145, 124], Operations: ['60+85=145', '84+40=124']
Exploring Operation: 145-124=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
99,
57,
3,
50
] | 89 | [
"99-57=42",
"50-3=47",
"42+47=89"
] | Current State: 89:[99, 57, 3, 50], Operations: []
Exploring Operation: 99-57=42, Resulting Numbers: [3, 50, 42]
Generated Node #2: [3, 50, 42] from Operation: 99-57=42
Current State: 89:[3, 50, 42], Operations: ['99-57=42']
Exploring Operation: 50-3=47, Resulting Numbers: [42, 47]
Generated Node #3: [42, 47] from Operation: 50-3=47
Current State: 89:[42, 47], Operations: ['99-57=42', '50-3=47']
Exploring Operation: 42+47=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
52,
77,
2,
19
] | 65 | [
"52+19=71",
"2*71=142",
"142-77=65"
] | Current State: 65:[52, 77, 2, 19], Operations: []
Exploring Operation: 52+19=71, Resulting Numbers: [77, 2, 71]
Generated Node #2: [77, 2, 71] from Operation: 52+19=71
Current State: 65:[77, 2, 71], Operations: ['52+19=71']
Exploring Operation: 2*71=142, Resulting Numbers: [77, 142]
Generated Node #3: [77, 142] from Operation: 2*71=142
Current State: 65:[77, 142], Operations: ['52+19=71', '2*71=142']
Exploring Operation: 142-77=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
32,
9,
43,
35
] | 16 | [
"35-32=3",
"9*3=27",
"43-27=16"
] | Current State: 16:[32, 9, 43, 35], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [9, 43, 3]
Generated Node #2: [9, 43, 3] from Operation: 35-32=3
Current State: 16:[9, 43, 3], Operations: ['35-32=3']
Exploring Operation: 9*3=27, Resulting Numbers: [43, 27]
Generated Node #3: [43, 27] from Operation: 9*3=27
Current State: 16:[43, 27], Operations: ['35-32=3', '9*3=27']
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
39,
3,
22,
44
] | 44 | [
"39+3=42",
"44/22=2",
"42+2=44"
] | Current State: 44:[39, 3, 22, 44], Operations: []
Exploring Operation: 39+3=42, Resulting Numbers: [22, 44, 42]
Generated Node #2: [22, 44, 42] from Operation: 39+3=42
Current State: 44:[22, 44, 42], Operations: ['39+3=42']
Exploring Operation: 44/22=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 44/22=2
Current State: 44:[42, 2], Operations: ['39+3=42', '44/22=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
53,
83,
46
] | 67 | [
"2*83=166",
"53+46=99",
"166-99=67"
] | Current State: 67:[2, 53, 83, 46], Operations: []
Exploring Operation: 2*83=166, Resulting Numbers: [53, 46, 166]
Generated Node #2: [53, 46, 166] from Operation: 2*83=166
Current State: 67:[53, 46, 166], Operations: ['2*83=166']
Exploring Operation: 53+46=99, Resulting Numbers: [166, 99]
Generated Node #3: [166, 99] from Operation: 53+46=99
Current State: 67:[166, 99], Operations: ['2*83=166', '53+46=99']
Exploring Operation: 166-99=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
28,
6,
86,
8
] | 29 | [
"86-28=58",
"8-6=2",
"58/2=29"
] | Current State: 29:[28, 6, 86, 8], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [6, 8, 58]
Generated Node #2: [6, 8, 58] from Operation: 86-28=58
Current State: 29:[6, 8, 58], Operations: ['86-28=58']
Exploring Operation: 8-6=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 8-6=2
Current State: 29:[58, 2], Operations: ['86-28=58', '8-6=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
99,
46,
6,
49
] | 17 | [
"99-46=53",
"49+53=102",
"102/6=17"
] | Current State: 17:[99, 46, 6, 49], Operations: []
Exploring Operation: 99-46=53, Resulting Numbers: [6, 49, 53]
Generated Node #2: [6, 49, 53] from Operation: 99-46=53
Current State: 17:[6, 49, 53], Operations: ['99-46=53']
Exploring Operation: 49+53=102, Resulting Numbers: [6, 102]
Generated Node #3: [6, 102] from Operation: 49+53=102
Current State: 17:[6, 102], Operations: ['99-46=53', '49+53=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
67,
54,
68,
84
] | 30 | [
"68-67=1",
"84-54=30",
"1*30=30"
] | Current State: 30:[67, 54, 68, 84], Operations: []
Exploring Operation: 68-67=1, Resulting Numbers: [54, 84, 1]
Generated Node #2: [54, 84, 1] from Operation: 68-67=1
Current State: 30:[54, 84, 1], Operations: ['68-67=1']
Exploring Operation: 84-54=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 84-54=30
Current State: 30:[1, 30], Operations: ['68-67=1', '84-54=30']
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
74,
86,
16,
42
] | 70 | [
"86-74=12",
"16+42=58",
"12+58=70"
] | Current State: 70:[74, 86, 16, 42], Operations: []
Exploring Operation: 86-74=12, Resulting Numbers: [16, 42, 12]
Generated Node #2: [16, 42, 12] from Operation: 86-74=12
Current State: 70:[16, 42, 12], Operations: ['86-74=12']
Exploring Operation: 16+42=58, Resulting Numbers: [12, 58]
Generated Node #3: [12, 58] from Operation: 16+42=58
Current State: 70:[12, 58], Operations: ['86-74=12', '16+42=58']
Exploring Operation: 12+58=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
8,
41,
77,
28
] | 44 | [
"8+41=49",
"77*28=2156",
"2156/49=44"
] | Current State: 44:[8, 41, 77, 28], Operations: []
Exploring Operation: 8+41=49, Resulting Numbers: [77, 28, 49]
Generated Node #2: [77, 28, 49] from Operation: 8+41=49
Current State: 44:[77, 28, 49], Operations: ['8+41=49']
Exploring Operation: 77*28=2156, Resulting Numbers: [49, 2156]
Generated Node #3: [49, 2156] from Operation: 77*28=2156
Current State: 44:[49, 2156], Operations: ['8+41=49', '77*28=2156']
Exploring Operation: 2156/49=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
60,
18,
30,
44
] | 28 | [
"60-18=42",
"44-30=14",
"42-14=28"
] | Current State: 28:[60, 18, 30, 44], Operations: []
Exploring Operation: 60-18=42, Resulting Numbers: [30, 44, 42]
Generated Node #2: [30, 44, 42] from Operation: 60-18=42
Current State: 28:[30, 44, 42], Operations: ['60-18=42']
Exploring Operation: 44-30=14, Resulting Numbers: [42, 14]
Generated Node #3: [42, 14] from Operation: 44-30=14
Current State: 28:[42, 14], Operations: ['60-18=42', '44-30=14']
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
41,
63,
38,
78
] | 18 | [
"63-41=22",
"78-38=40",
"40-22=18"
] | Current State: 18:[41, 63, 38, 78], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [38, 78, 22]
Generated Node #2: [38, 78, 22] from Operation: 63-41=22
Current State: 18:[38, 78, 22], Operations: ['63-41=22']
Exploring Operation: 78-38=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 78-38=40
Current State: 18:[22, 40], Operations: ['63-41=22', '78-38=40']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
87,
9,
91,
26
] | 88 | [
"87-9=78",
"78/26=3",
"91-3=88"
] | Current State: 88:[87, 9, 91, 26], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [91, 26, 78]
Generated Node #2: [91, 26, 78] from Operation: 87-9=78
Current State: 88:[91, 26, 78], Operations: ['87-9=78']
Exploring Operation: 78/26=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 78/26=3
Current State: 88:[91, 3], Operations: ['87-9=78', '78/26=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
3,
26,
6,
42
] | 71 | [
"3*26=78",
"42/6=7",
"78-7=71"
] | Current State: 71:[3, 26, 6, 42], Operations: []
Exploring Operation: 3*26=78, Resulting Numbers: [6, 42, 78]
Generated Node #2: [6, 42, 78] from Operation: 3*26=78
Current State: 71:[6, 42, 78], Operations: ['3*26=78']
Exploring Operation: 42/6=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 42/6=7
Current State: 71:[78, 7], Operations: ['3*26=78', '42/6=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
12,
64,
24,
34
] | 66 | [
"12+64=76",
"34-24=10",
"76-10=66"
] | Current State: 66:[12, 64, 24, 34], Operations: []
Exploring Operation: 12+64=76, Resulting Numbers: [24, 34, 76]
Generated Node #2: [24, 34, 76] from Operation: 12+64=76
Current State: 66:[24, 34, 76], Operations: ['12+64=76']
Exploring Operation: 34-24=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 34-24=10
Current State: 66:[76, 10], Operations: ['12+64=76', '34-24=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
80,
6,
16,
5
] | 19 | [
"80/16=5",
"5*5=25",
"25-6=19"
] | Current State: 19:[80, 6, 16, 5], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [6, 5, 5]
Generated Node #2: [6, 5, 5] from Operation: 80/16=5
Current State: 19:[6, 5, 5], Operations: ['80/16=5']
Exploring Operation: 5*5=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 5*5=25
Current State: 19:[6, 25], Operations: ['80/16=5', '5*5=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
93,
32,
87,
8
] | 24 | [
"93-87=6",
"32/8=4",
"6*4=24"
] | Current State: 24:[93, 32, 87, 8], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [32, 8, 6]
Generated Node #2: [32, 8, 6] from Operation: 93-87=6
Current State: 24:[32, 8, 6], Operations: ['93-87=6']
Exploring Operation: 32/8=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 32/8=4
Current State: 24:[6, 4], Operations: ['93-87=6', '32/8=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
15,
5,
35,
8
] | 49 | [
"15-8=7",
"35/5=7",
"7*7=49"
] | Current State: 49:[15, 5, 35, 8], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [5, 35, 7]
Generated Node #2: [5, 35, 7] from Operation: 15-8=7
Current State: 49:[5, 35, 7], Operations: ['15-8=7']
Exploring Operation: 35/5=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 35/5=7
Current State: 49:[7, 7], Operations: ['15-8=7', '35/5=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
72,
59,
75,
24
] | 67 | [
"75-72=3",
"24/3=8",
"59+8=67"
] | Current State: 67:[72, 59, 75, 24], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [59, 24, 3]
Generated Node #2: [59, 24, 3] from Operation: 75-72=3
Current State: 67:[59, 24, 3], Operations: ['75-72=3']
Exploring Operation: 24/3=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 24/3=8
Current State: 67:[59, 8], Operations: ['75-72=3', '24/3=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
3,
78,
36,
57
] | 57 | [
"3*57=171",
"78+36=114",
"171-114=57"
] | Current State: 57:[3, 78, 36, 57], Operations: []
Exploring Operation: 3*57=171, Resulting Numbers: [78, 36, 171]
Generated Node #2: [78, 36, 171] from Operation: 3*57=171
Current State: 57:[78, 36, 171], Operations: ['3*57=171']
Exploring Operation: 78+36=114, Resulting Numbers: [171, 114]
Generated Node #3: [171, 114] from Operation: 78+36=114
Current State: 57:[171, 114], Operations: ['3*57=171', '78+36=114']
Exploring Operation: 171-114=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
4,
80,
83,
43
] | 36 | [
"80-4=76",
"83-43=40",
"76-40=36"
] | Current State: 36:[4, 80, 83, 43], Operations: []
Exploring Operation: 80-4=76, Resulting Numbers: [83, 43, 76]
Generated Node #2: [83, 43, 76] from Operation: 80-4=76
Current State: 36:[83, 43, 76], Operations: ['80-4=76']
Exploring Operation: 83-43=40, Resulting Numbers: [76, 40]
Generated Node #3: [76, 40] from Operation: 83-43=40
Current State: 36:[76, 40], Operations: ['80-4=76', '83-43=40']
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
39,
52,
6,
93
] | 100 | [
"52-39=13",
"93-6=87",
"13+87=100"
] | Current State: 100:[39, 52, 6, 93], Operations: []
Exploring Operation: 52-39=13, Resulting Numbers: [6, 93, 13]
Generated Node #2: [6, 93, 13] from Operation: 52-39=13
Current State: 100:[6, 93, 13], Operations: ['52-39=13']
Exploring Operation: 93-6=87, Resulting Numbers: [13, 87]
Generated Node #3: [13, 87] from Operation: 93-6=87
Current State: 100:[13, 87], Operations: ['52-39=13', '93-6=87']
Exploring Operation: 13+87=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
32,
84,
80,
47
] | 11 | [
"32+84=116",
"80+47=127",
"127-116=11"
] | Current State: 11:[32, 84, 80, 47], Operations: []
Exploring Operation: 32+84=116, Resulting Numbers: [80, 47, 116]
Generated Node #2: [80, 47, 116] from Operation: 32+84=116
Current State: 11:[80, 47, 116], Operations: ['32+84=116']
Exploring Operation: 80+47=127, Resulting Numbers: [116, 127]
Generated Node #3: [116, 127] from Operation: 80+47=127
Current State: 11:[116, 127], Operations: ['32+84=116', '80+47=127']
Exploring Operation: 127-116=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
70,
50,
29,
39
] | 89 | [
"70*50=3500",
"3500-29=3471",
"3471/39=89"
] | Current State: 89:[70, 50, 29, 39], Operations: []
Exploring Operation: 70*50=3500, Resulting Numbers: [29, 39, 3500]
Generated Node #2: [29, 39, 3500] from Operation: 70*50=3500
Current State: 89:[29, 39, 3500], Operations: ['70*50=3500']
Exploring Operation: 3500-29=3471, Resulting Numbers: [39, 3471]
Generated Node #3: [39, 3471] from Operation: 3500-29=3471
Current State: 89:[39, 3471], Operations: ['70*50=3500', '3500-29=3471']
Exploring Operation: 3471/39=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
42,
59,
25,
54
] | 37 | [
"59-54=5",
"25/5=5",
"42-5=37"
] | Current State: 37:[42, 59, 25, 54], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [42, 25, 5]
Generated Node #2: [42, 25, 5] from Operation: 59-54=5
Current State: 37:[42, 25, 5], Operations: ['59-54=5']
Exploring Operation: 25/5=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 25/5=5
Current State: 37:[42, 5], Operations: ['59-54=5', '25/5=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
34,
13,
90,
7
] | 21 | [
"90-34=56",
"56/7=8",
"13+8=21"
] | Current State: 21:[34, 13, 90, 7], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [13, 7, 56]
Generated Node #2: [13, 7, 56] from Operation: 90-34=56
Current State: 21:[13, 7, 56], Operations: ['90-34=56']
Exploring Operation: 56/7=8, Resulting Numbers: [13, 8]
Generated Node #3: [13, 8] from Operation: 56/7=8
Current State: 21:[13, 8], Operations: ['90-34=56', '56/7=8']
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
85,
47,
80,
2
] | 99 | [
"85-47=38",
"38/2=19",
"80+19=99"
] | Current State: 99:[85, 47, 80, 2], Operations: []
Exploring Operation: 85-47=38, Resulting Numbers: [80, 2, 38]
Generated Node #2: [80, 2, 38] from Operation: 85-47=38
Current State: 99:[80, 2, 38], Operations: ['85-47=38']
Exploring Operation: 38/2=19, Resulting Numbers: [80, 19]
Generated Node #3: [80, 19] from Operation: 38/2=19
Current State: 99:[80, 19], Operations: ['85-47=38', '38/2=19']
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
19,
30,
15,
13
] | 16 | [
"19+13=32",
"30/15=2",
"32/2=16"
] | Current State: 16:[19, 30, 15, 13], Operations: []
Exploring Operation: 19+13=32, Resulting Numbers: [30, 15, 32]
Generated Node #2: [30, 15, 32] from Operation: 19+13=32
Current State: 16:[30, 15, 32], Operations: ['19+13=32']
Exploring Operation: 30/15=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 30/15=2
Current State: 16:[32, 2], Operations: ['19+13=32', '30/15=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
91,
5,
40,
12
] | 25 | [
"91*5=455",
"40*12=480",
"480-455=25"
] | Current State: 25:[91, 5, 40, 12], Operations: []
Exploring Operation: 91*5=455, Resulting Numbers: [40, 12, 455]
Generated Node #2: [40, 12, 455] from Operation: 91*5=455
Current State: 25:[40, 12, 455], Operations: ['91*5=455']
Exploring Operation: 40*12=480, Resulting Numbers: [455, 480]
Generated Node #3: [455, 480] from Operation: 40*12=480
Current State: 25:[455, 480], Operations: ['91*5=455', '40*12=480']
Exploring Operation: 480-455=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
55,
88,
39,
41
] | 50 | [
"39+41=80",
"55*80=4400",
"4400/88=50"
] | Current State: 50:[55, 88, 39, 41], Operations: []
Exploring Operation: 39+41=80, Resulting Numbers: [55, 88, 80]
Generated Node #2: [55, 88, 80] from Operation: 39+41=80
Current State: 50:[55, 88, 80], Operations: ['39+41=80']
Exploring Operation: 55*80=4400, Resulting Numbers: [88, 4400]
Generated Node #3: [88, 4400] from Operation: 55*80=4400
Current State: 50:[88, 4400], Operations: ['39+41=80', '55*80=4400']
Exploring Operation: 4400/88=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
76,
36,
28,
68
] | 24 | [
"76+68=144",
"144/36=4",
"28-4=24"
] | Current State: 24:[76, 36, 28, 68], Operations: []
Exploring Operation: 76+68=144, Resulting Numbers: [36, 28, 144]
Generated Node #2: [36, 28, 144] from Operation: 76+68=144
Current State: 24:[36, 28, 144], Operations: ['76+68=144']
Exploring Operation: 144/36=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 144/36=4
Current State: 24:[28, 4], Operations: ['76+68=144', '144/36=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
5,
90,
72
] | 52 | [
"70-5=65",
"72*65=4680",
"4680/90=52"
] | Current State: 52:[70, 5, 90, 72], Operations: []
Exploring Operation: 70-5=65, Resulting Numbers: [90, 72, 65]
Generated Node #2: [90, 72, 65] from Operation: 70-5=65
Current State: 52:[90, 72, 65], Operations: ['70-5=65']
Exploring Operation: 72*65=4680, Resulting Numbers: [90, 4680]
Generated Node #3: [90, 4680] from Operation: 72*65=4680
Current State: 52:[90, 4680], Operations: ['70-5=65', '72*65=4680']
Exploring Operation: 4680/90=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
12,
15,
33,
41
] | 71 | [
"15-12=3",
"33+41=74",
"74-3=71"
] | Current State: 71:[12, 15, 33, 41], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [33, 41, 3]
Generated Node #2: [33, 41, 3] from Operation: 15-12=3
Current State: 71:[33, 41, 3], Operations: ['15-12=3']
Exploring Operation: 33+41=74, Resulting Numbers: [3, 74]
Generated Node #3: [3, 74] from Operation: 33+41=74
Current State: 71:[3, 74], Operations: ['15-12=3', '33+41=74']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
33,
68,
77,
11
] | 27 | [
"33/11=3",
"77-68=9",
"3*9=27"
] | Current State: 27:[33, 68, 77, 11], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [68, 77, 3]
Generated Node #2: [68, 77, 3] from Operation: 33/11=3
Current State: 27:[68, 77, 3], Operations: ['33/11=3']
Exploring Operation: 77-68=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 77-68=9
Current State: 27:[3, 9], Operations: ['33/11=3', '77-68=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
61,
78,
12,
2
] | 74 | [
"78*2=156",
"156/12=13",
"61+13=74"
] | Current State: 74:[61, 78, 12, 2], Operations: []
Exploring Operation: 78*2=156, Resulting Numbers: [61, 12, 156]
Generated Node #2: [61, 12, 156] from Operation: 78*2=156
Current State: 74:[61, 12, 156], Operations: ['78*2=156']
Exploring Operation: 156/12=13, Resulting Numbers: [61, 13]
Generated Node #3: [61, 13] from Operation: 156/12=13
Current State: 74:[61, 13], Operations: ['78*2=156', '156/12=13']
Exploring Operation: 61+13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
44,
21,
81
] | 94 | [
"44-10=34",
"81-21=60",
"34+60=94"
] | Current State: 94:[10, 44, 21, 81], Operations: []
Exploring Operation: 44-10=34, Resulting Numbers: [21, 81, 34]
Generated Node #2: [21, 81, 34] from Operation: 44-10=34
Current State: 94:[21, 81, 34], Operations: ['44-10=34']
Exploring Operation: 81-21=60, Resulting Numbers: [34, 60]
Generated Node #3: [34, 60] from Operation: 81-21=60
Current State: 94:[34, 60], Operations: ['44-10=34', '81-21=60']
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
6,
12,
43,
12
] | 25 | [
"12-6=6",
"43-12=31",
"31-6=25"
] | Current State: 25:[6, 12, 43, 12], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [43, 6]
Generated Node #2: [43, 6] from Operation: 12-6=6
Current State: 25:[43, 6], Operations: ['12-6=6']
Exploring Operation: 43-12=31, Resulting Numbers: [6, 31]
Generated Node #3: [6, 31] from Operation: 43-12=31
Current State: 25:[6, 31], Operations: ['12-6=6', '43-12=31']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
81,
56,
3,
21
] | 54 | [
"81-56=25",
"3*25=75",
"75-21=54"
] | Current State: 54:[81, 56, 3, 21], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [3, 21, 25]
Generated Node #2: [3, 21, 25] from Operation: 81-56=25
Current State: 54:[3, 21, 25], Operations: ['81-56=25']
Exploring Operation: 3*25=75, Resulting Numbers: [21, 75]
Generated Node #3: [21, 75] from Operation: 3*25=75
Current State: 54:[21, 75], Operations: ['81-56=25', '3*25=75']
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
47,
88,
54,
34
] | 48 | [
"88-54=34",
"34/34=1",
"47+1=48"
] | Current State: 48:[47, 88, 54, 34], Operations: []
Exploring Operation: 88-54=34, Resulting Numbers: [47, 34, 34]
Generated Node #2: [47, 34, 34] from Operation: 88-54=34
Current State: 48:[47, 34, 34], Operations: ['88-54=34']
Exploring Operation: 34/34=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 34/34=1
Current State: 48:[47, 1], Operations: ['88-54=34', '34/34=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
75,
12,
90,
43
] | 53 | [
"75*12=900",
"900/90=10",
"43+10=53"
] | Current State: 53:[75, 12, 90, 43], Operations: []
Exploring Operation: 75*12=900, Resulting Numbers: [90, 43, 900]
Generated Node #2: [90, 43, 900] from Operation: 75*12=900
Current State: 53:[90, 43, 900], Operations: ['75*12=900']
Exploring Operation: 900/90=10, Resulting Numbers: [43, 10]
Generated Node #3: [43, 10] from Operation: 900/90=10
Current State: 53:[43, 10], Operations: ['75*12=900', '900/90=10']
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
64,
19,
28,
85
] | 30 | [
"64+19=83",
"28+85=113",
"113-83=30"
] | Current State: 30:[64, 19, 28, 85], Operations: []
Exploring Operation: 64+19=83, Resulting Numbers: [28, 85, 83]
Generated Node #2: [28, 85, 83] from Operation: 64+19=83
Current State: 30:[28, 85, 83], Operations: ['64+19=83']
Exploring Operation: 28+85=113, Resulting Numbers: [83, 113]
Generated Node #3: [83, 113] from Operation: 28+85=113
Current State: 30:[83, 113], Operations: ['64+19=83', '28+85=113']
Exploring Operation: 113-83=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
10,
91,
72,
5
] | 55 | [
"10/5=2",
"72/2=36",
"91-36=55"
] | Current State: 55:[10, 91, 72, 5], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [91, 72, 2]
Generated Node #2: [91, 72, 2] from Operation: 10/5=2
Current State: 55:[91, 72, 2], Operations: ['10/5=2']
Exploring Operation: 72/2=36, Resulting Numbers: [91, 36]
Generated Node #3: [91, 36] from Operation: 72/2=36
Current State: 55:[91, 36], Operations: ['10/5=2', '72/2=36']
Exploring Operation: 91-36=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
14,
84,
31
] | 39 | [
"11*14=154",
"84+31=115",
"154-115=39"
] | Current State: 39:[11, 14, 84, 31], Operations: []
Exploring Operation: 11*14=154, Resulting Numbers: [84, 31, 154]
Generated Node #2: [84, 31, 154] from Operation: 11*14=154
Current State: 39:[84, 31, 154], Operations: ['11*14=154']
Exploring Operation: 84+31=115, Resulting Numbers: [154, 115]
Generated Node #3: [154, 115] from Operation: 84+31=115
Current State: 39:[154, 115], Operations: ['11*14=154', '84+31=115']
Exploring Operation: 154-115=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
77,
69,
32,
10
] | 64 | [
"77-69=8",
"10-8=2",
"32*2=64"
] | Current State: 64:[77, 69, 32, 10], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [32, 10, 8]
Generated Node #2: [32, 10, 8] from Operation: 77-69=8
Current State: 64:[32, 10, 8], Operations: ['77-69=8']
Exploring Operation: 10-8=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 10-8=2
Current State: 64:[32, 2], Operations: ['77-69=8', '10-8=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
58,
40,
41
] | 50 | [
"58-40=18",
"18/2=9",
"41+9=50"
] | Current State: 50:[2, 58, 40, 41], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [2, 41, 18]
Generated Node #2: [2, 41, 18] from Operation: 58-40=18
Current State: 50:[2, 41, 18], Operations: ['58-40=18']
Exploring Operation: 18/2=9, Resulting Numbers: [41, 9]
Generated Node #3: [41, 9] from Operation: 18/2=9
Current State: 50:[41, 9], Operations: ['58-40=18', '18/2=9']
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
4,
75,
52,
61
] | 31 | [
"75-52=23",
"4*23=92",
"92-61=31"
] | Current State: 31:[4, 75, 52, 61], Operations: []
Exploring Operation: 75-52=23, Resulting Numbers: [4, 61, 23]
Generated Node #2: [4, 61, 23] from Operation: 75-52=23
Current State: 31:[4, 61, 23], Operations: ['75-52=23']
Exploring Operation: 4*23=92, Resulting Numbers: [61, 92]
Generated Node #3: [61, 92] from Operation: 4*23=92
Current State: 31:[61, 92], Operations: ['75-52=23', '4*23=92']
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
65,
11,
43,
87
] | 98 | [
"65-11=54",
"87-43=44",
"54+44=98"
] | Current State: 98:[65, 11, 43, 87], Operations: []
Exploring Operation: 65-11=54, Resulting Numbers: [43, 87, 54]
Generated Node #2: [43, 87, 54] from Operation: 65-11=54
Current State: 98:[43, 87, 54], Operations: ['65-11=54']
Exploring Operation: 87-43=44, Resulting Numbers: [54, 44]
Generated Node #3: [54, 44] from Operation: 87-43=44
Current State: 98:[54, 44], Operations: ['65-11=54', '87-43=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
92,
70,
80,
27
] | 31 | [
"92-70=22",
"80-27=53",
"53-22=31"
] | Current State: 31:[92, 70, 80, 27], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [80, 27, 22]
Generated Node #2: [80, 27, 22] from Operation: 92-70=22
Current State: 31:[80, 27, 22], Operations: ['92-70=22']
Exploring Operation: 80-27=53, Resulting Numbers: [22, 53]
Generated Node #3: [22, 53] from Operation: 80-27=53
Current State: 31:[22, 53], Operations: ['92-70=22', '80-27=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
2,
32,
6,
31
] | 51 | [
"2*6=12",
"32+31=63",
"63-12=51"
] | Current State: 51:[2, 32, 6, 31], Operations: []
Exploring Operation: 2*6=12, Resulting Numbers: [32, 31, 12]
Generated Node #2: [32, 31, 12] from Operation: 2*6=12
Current State: 51:[32, 31, 12], Operations: ['2*6=12']
Exploring Operation: 32+31=63, Resulting Numbers: [12, 63]
Generated Node #3: [12, 63] from Operation: 32+31=63
Current State: 51:[12, 63], Operations: ['2*6=12', '32+31=63']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
84,
15,
44,
11
] | 14 | [
"84-15=69",
"44+11=55",
"69-55=14"
] | Current State: 14:[84, 15, 44, 11], Operations: []
Exploring Operation: 84-15=69, Resulting Numbers: [44, 11, 69]
Generated Node #2: [44, 11, 69] from Operation: 84-15=69
Current State: 14:[44, 11, 69], Operations: ['84-15=69']
Exploring Operation: 44+11=55, Resulting Numbers: [69, 55]
Generated Node #3: [69, 55] from Operation: 44+11=55
Current State: 14:[69, 55], Operations: ['84-15=69', '44+11=55']
Exploring Operation: 69-55=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
28,
14,
17,
72
] | 52 | [
"17-14=3",
"72/3=24",
"28+24=52"
] | Current State: 52:[28, 14, 17, 72], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [28, 72, 3]
Generated Node #2: [28, 72, 3] from Operation: 17-14=3
Current State: 52:[28, 72, 3], Operations: ['17-14=3']
Exploring Operation: 72/3=24, Resulting Numbers: [28, 24]
Generated Node #3: [28, 24] from Operation: 72/3=24
Current State: 52:[28, 24], Operations: ['17-14=3', '72/3=24']
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
78,
3,
26,
44
] | 20 | [
"78+26=104",
"104-44=60",
"60/3=20"
] | Current State: 20:[78, 3, 26, 44], Operations: []
Exploring Operation: 78+26=104, Resulting Numbers: [3, 44, 104]
Generated Node #2: [3, 44, 104] from Operation: 78+26=104
Current State: 20:[3, 44, 104], Operations: ['78+26=104']
Exploring Operation: 104-44=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 104-44=60
Current State: 20:[3, 60], Operations: ['78+26=104', '104-44=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
39,
50,
16,
43
] | 62 | [
"39+50=89",
"43-16=27",
"89-27=62"
] | Current State: 62:[39, 50, 16, 43], Operations: []
Exploring Operation: 39+50=89, Resulting Numbers: [16, 43, 89]
Generated Node #2: [16, 43, 89] from Operation: 39+50=89
Current State: 62:[16, 43, 89], Operations: ['39+50=89']
Exploring Operation: 43-16=27, Resulting Numbers: [89, 27]
Generated Node #3: [89, 27] from Operation: 43-16=27
Current State: 62:[89, 27], Operations: ['39+50=89', '43-16=27']
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
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