Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 25, 5, 60, 88 ]
91
[ "25-5=20", "60/20=3", "88+3=91" ]
Current State: 91:[25, 5, 60, 88], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [60, 88, 20] Generated Node #2: [60, 88, 20] from Operation: 25-5=20 Current State: 91:[60, 88, 20], Operations: ['25-5=20'] Exploring Operation: 60/20=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 60/20=3 Current State: 91:[88, 3], Operations: ['25-5=20', '60/20=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 38, 78, 15, 7 ]
83
[ "38-15=23", "7*23=161", "161-78=83" ]
Current State: 83:[38, 78, 15, 7], Operations: [] Exploring Operation: 38-15=23, Resulting Numbers: [78, 7, 23] Generated Node #2: [78, 7, 23] from Operation: 38-15=23 Current State: 83:[78, 7, 23], Operations: ['38-15=23'] Exploring Operation: 7*23=161, Resulting Numbers: [78, 161] Generated Node #3: [78, 161] from Operation: 7*23=161 Current State: 83:[78, 161], Operations: ['38-15=23', '7*23=161'] Exploring Operation: 161-78=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 41, 93, 47, 97 ]
22
[ "41+47=88", "97-93=4", "88/4=22" ]
Current State: 22:[41, 93, 47, 97], Operations: [] Exploring Operation: 41+47=88, Resulting Numbers: [93, 97, 88] Generated Node #2: [93, 97, 88] from Operation: 41+47=88 Current State: 22:[93, 97, 88], Operations: ['41+47=88'] Exploring Operation: 97-93=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 97-93=4 Current State: 22:[88, 4], Operations: ['41+47=88', '97-93=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 5, 2, 67, 22 ]
33
[ "22-5=17", "2*17=34", "67-34=33" ]
Current State: 33:[5, 2, 67, 22], Operations: [] Exploring Operation: 22-5=17, Resulting Numbers: [2, 67, 17] Generated Node #2: [2, 67, 17] from Operation: 22-5=17 Current State: 33:[2, 67, 17], Operations: ['22-5=17'] Exploring Operation: 2*17=34, Resulting Numbers: [67, 34] Generated Node #3: [67, 34] from Operation: 2*17=34 Current State: 33:[67, 34], Operations: ['22-5=17', '2*17=34'] Exploring Operation: 67-34=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 95, 37, 95, 17 ]
55
[ "95/95=1", "37+17=54", "1+54=55" ]
Current State: 55:[95, 37, 95, 17], Operations: [] Exploring Operation: 95/95=1, Resulting Numbers: [37, 17, 1] Generated Node #2: [37, 17, 1] from Operation: 95/95=1 Current State: 55:[37, 17, 1], Operations: ['95/95=1'] Exploring Operation: 37+17=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 37+17=54 Current State: 55:[1, 54], Operations: ['95/95=1', '37+17=54'] Exploring Operation: 1+54=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 42, 17, 87, 42 ]
71
[ "42/42=1", "87-17=70", "1+70=71" ]
Current State: 71:[42, 17, 87, 42], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [17, 87, 1] Generated Node #2: [17, 87, 1] from Operation: 42/42=1 Current State: 71:[17, 87, 1], Operations: ['42/42=1'] Exploring Operation: 87-17=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 87-17=70 Current State: 71:[1, 70], Operations: ['42/42=1', '87-17=70'] Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 19, 11, 24, 36 ]
30
[ "19+11=30", "24+36=60", "60-30=30" ]
Current State: 30:[19, 11, 24, 36], Operations: [] Exploring Operation: 19+11=30, Resulting Numbers: [24, 36, 30] Generated Node #2: [24, 36, 30] from Operation: 19+11=30 Current State: 30:[24, 36, 30], Operations: ['19+11=30'] Exploring Operation: 24+36=60, Resulting Numbers: [30, 60] Generated Node #3: [30, 60] from Operation: 24+36=60 Current State: 30:[30, 60], Operations: ['19+11=30', '24+36=60'] Exploring Operation: 60-30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 38, 35, 68, 54 ]
94
[ "38-35=3", "54*3=162", "162-68=94" ]
Current State: 94:[38, 35, 68, 54], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [68, 54, 3] Generated Node #2: [68, 54, 3] from Operation: 38-35=3 Current State: 94:[68, 54, 3], Operations: ['38-35=3'] Exploring Operation: 54*3=162, Resulting Numbers: [68, 162] Generated Node #3: [68, 162] from Operation: 54*3=162 Current State: 94:[68, 162], Operations: ['38-35=3', '54*3=162'] Exploring Operation: 162-68=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 91, 36, 53 ]
77
[ "91+53=144", "144/36=4", "81-4=77" ]
Current State: 77:[81, 91, 36, 53], Operations: [] Exploring Operation: 91+53=144, Resulting Numbers: [81, 36, 144] Generated Node #2: [81, 36, 144] from Operation: 91+53=144 Current State: 77:[81, 36, 144], Operations: ['91+53=144'] Exploring Operation: 144/36=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 144/36=4 Current State: 77:[81, 4], Operations: ['91+53=144', '144/36=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 21, 5, 97, 92 ]
84
[ "21*5=105", "97+92=189", "189-105=84" ]
Current State: 84:[21, 5, 97, 92], Operations: [] Exploring Operation: 21*5=105, Resulting Numbers: [97, 92, 105] Generated Node #2: [97, 92, 105] from Operation: 21*5=105 Current State: 84:[97, 92, 105], Operations: ['21*5=105'] Exploring Operation: 97+92=189, Resulting Numbers: [105, 189] Generated Node #3: [105, 189] from Operation: 97+92=189 Current State: 84:[105, 189], Operations: ['21*5=105', '97+92=189'] Exploring Operation: 189-105=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 68, 46, 99, 39 ]
71
[ "99+39=138", "138/46=3", "68+3=71" ]
Current State: 71:[68, 46, 99, 39], Operations: [] Exploring Operation: 99+39=138, Resulting Numbers: [68, 46, 138] Generated Node #2: [68, 46, 138] from Operation: 99+39=138 Current State: 71:[68, 46, 138], Operations: ['99+39=138'] Exploring Operation: 138/46=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 138/46=3 Current State: 71:[68, 3], Operations: ['99+39=138', '138/46=3'] Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 9, 93, 5, 2 ]
47
[ "93-9=84", "84/2=42", "5+42=47" ]
Current State: 47:[9, 93, 5, 2], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [5, 2, 84] Generated Node #2: [5, 2, 84] from Operation: 93-9=84 Current State: 47:[5, 2, 84], Operations: ['93-9=84'] Exploring Operation: 84/2=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 84/2=42 Current State: 47:[5, 42], Operations: ['93-9=84', '84/2=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 74, 16, 14 ]
73
[ "74-31=43", "16+14=30", "43+30=73" ]
Current State: 73:[31, 74, 16, 14], Operations: [] Exploring Operation: 74-31=43, Resulting Numbers: [16, 14, 43] Generated Node #2: [16, 14, 43] from Operation: 74-31=43 Current State: 73:[16, 14, 43], Operations: ['74-31=43'] Exploring Operation: 16+14=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 16+14=30 Current State: 73:[43, 30], Operations: ['74-31=43', '16+14=30'] Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 79, 32, 28 ]
33
[ "79-51=28", "28/28=1", "32+1=33" ]
Current State: 33:[51, 79, 32, 28], Operations: [] Exploring Operation: 79-51=28, Resulting Numbers: [32, 28, 28] Generated Node #2: [32, 28, 28] from Operation: 79-51=28 Current State: 33:[32, 28, 28], Operations: ['79-51=28'] Exploring Operation: 28/28=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 28/28=1 Current State: 33:[32, 1], Operations: ['79-51=28', '28/28=1'] Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 70, 43, 25, 10 ]
78
[ "70+43=113", "25+10=35", "113-35=78" ]
Current State: 78:[70, 43, 25, 10], Operations: [] Exploring Operation: 70+43=113, Resulting Numbers: [25, 10, 113] Generated Node #2: [25, 10, 113] from Operation: 70+43=113 Current State: 78:[25, 10, 113], Operations: ['70+43=113'] Exploring Operation: 25+10=35, Resulting Numbers: [113, 35] Generated Node #3: [113, 35] from Operation: 25+10=35 Current State: 78:[113, 35], Operations: ['70+43=113', '25+10=35'] Exploring Operation: 113-35=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 42, 10, 20, 70 ]
51
[ "20+70=90", "90/10=9", "42+9=51" ]
Current State: 51:[42, 10, 20, 70], Operations: [] Exploring Operation: 20+70=90, Resulting Numbers: [42, 10, 90] Generated Node #2: [42, 10, 90] from Operation: 20+70=90 Current State: 51:[42, 10, 90], Operations: ['20+70=90'] Exploring Operation: 90/10=9, Resulting Numbers: [42, 9] Generated Node #3: [42, 9] from Operation: 90/10=9 Current State: 51:[42, 9], Operations: ['20+70=90', '90/10=9'] Exploring Operation: 42+9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 78, 69, 23, 35 ]
27
[ "69/23=3", "35*3=105", "105-78=27" ]
Current State: 27:[78, 69, 23, 35], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [78, 35, 3] Generated Node #2: [78, 35, 3] from Operation: 69/23=3 Current State: 27:[78, 35, 3], Operations: ['69/23=3'] Exploring Operation: 35*3=105, Resulting Numbers: [78, 105] Generated Node #3: [78, 105] from Operation: 35*3=105 Current State: 27:[78, 105], Operations: ['69/23=3', '35*3=105'] Exploring Operation: 105-78=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 25, 14, 3 ]
37
[ "5*25=125", "125-14=111", "111/3=37" ]
Current State: 37:[5, 25, 14, 3], Operations: [] Exploring Operation: 5*25=125, Resulting Numbers: [14, 3, 125] Generated Node #2: [14, 3, 125] from Operation: 5*25=125 Current State: 37:[14, 3, 125], Operations: ['5*25=125'] Exploring Operation: 125-14=111, Resulting Numbers: [3, 111] Generated Node #3: [3, 111] from Operation: 125-14=111 Current State: 37:[3, 111], Operations: ['5*25=125', '125-14=111'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 47, 44, 7 ]
76
[ "47-7=40", "3*40=120", "120-44=76" ]
Current State: 76:[3, 47, 44, 7], Operations: [] Exploring Operation: 47-7=40, Resulting Numbers: [3, 44, 40] Generated Node #2: [3, 44, 40] from Operation: 47-7=40 Current State: 76:[3, 44, 40], Operations: ['47-7=40'] Exploring Operation: 3*40=120, Resulting Numbers: [44, 120] Generated Node #3: [44, 120] from Operation: 3*40=120 Current State: 76:[44, 120], Operations: ['47-7=40', '3*40=120'] Exploring Operation: 120-44=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 6, 33, 48, 30 ]
96
[ "6*48=288", "33-30=3", "288/3=96" ]
Current State: 96:[6, 33, 48, 30], Operations: [] Exploring Operation: 6*48=288, Resulting Numbers: [33, 30, 288] Generated Node #2: [33, 30, 288] from Operation: 6*48=288 Current State: 96:[33, 30, 288], Operations: ['6*48=288'] Exploring Operation: 33-30=3, Resulting Numbers: [288, 3] Generated Node #3: [288, 3] from Operation: 33-30=3 Current State: 96:[288, 3], Operations: ['6*48=288', '33-30=3'] Exploring Operation: 288/3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 75, 1, 15 ]
92
[ "98-1=97", "75/15=5", "97-5=92" ]
Current State: 92:[98, 75, 1, 15], Operations: [] Exploring Operation: 98-1=97, Resulting Numbers: [75, 15, 97] Generated Node #2: [75, 15, 97] from Operation: 98-1=97 Current State: 92:[75, 15, 97], Operations: ['98-1=97'] Exploring Operation: 75/15=5, Resulting Numbers: [97, 5] Generated Node #3: [97, 5] from Operation: 75/15=5 Current State: 92:[97, 5], Operations: ['98-1=97', '75/15=5'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 54, 37, 43 ]
52
[ "49+37=86", "86/43=2", "54-2=52" ]
Current State: 52:[49, 54, 37, 43], Operations: [] Exploring Operation: 49+37=86, Resulting Numbers: [54, 43, 86] Generated Node #2: [54, 43, 86] from Operation: 49+37=86 Current State: 52:[54, 43, 86], Operations: ['49+37=86'] Exploring Operation: 86/43=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 86/43=2 Current State: 52:[54, 2], Operations: ['49+37=86', '86/43=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 16, 96, 46, 98 ]
64
[ "96-16=80", "46+98=144", "144-80=64" ]
Current State: 64:[16, 96, 46, 98], Operations: [] Exploring Operation: 96-16=80, Resulting Numbers: [46, 98, 80] Generated Node #2: [46, 98, 80] from Operation: 96-16=80 Current State: 64:[46, 98, 80], Operations: ['96-16=80'] Exploring Operation: 46+98=144, Resulting Numbers: [80, 144] Generated Node #3: [80, 144] from Operation: 46+98=144 Current State: 64:[80, 144], Operations: ['96-16=80', '46+98=144'] Exploring Operation: 144-80=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 77, 71, 65, 79 ]
68
[ "79-77=2", "71+65=136", "136/2=68" ]
Current State: 68:[77, 71, 65, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [71, 65, 2] Generated Node #2: [71, 65, 2] from Operation: 79-77=2 Current State: 68:[71, 65, 2], Operations: ['79-77=2'] Exploring Operation: 71+65=136, Resulting Numbers: [2, 136] Generated Node #3: [2, 136] from Operation: 71+65=136 Current State: 68:[2, 136], Operations: ['79-77=2', '71+65=136'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 11, 68, 14 ]
23
[ "48+11=59", "68+14=82", "82-59=23" ]
Current State: 23:[48, 11, 68, 14], Operations: [] Exploring Operation: 48+11=59, Resulting Numbers: [68, 14, 59] Generated Node #2: [68, 14, 59] from Operation: 48+11=59 Current State: 23:[68, 14, 59], Operations: ['48+11=59'] Exploring Operation: 68+14=82, Resulting Numbers: [59, 82] Generated Node #3: [59, 82] from Operation: 68+14=82 Current State: 23:[59, 82], Operations: ['48+11=59', '68+14=82'] Exploring Operation: 82-59=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 44, 27, 98, 78 ]
23
[ "98+78=176", "176/44=4", "27-4=23" ]
Current State: 23:[44, 27, 98, 78], Operations: [] Exploring Operation: 98+78=176, Resulting Numbers: [44, 27, 176] Generated Node #2: [44, 27, 176] from Operation: 98+78=176 Current State: 23:[44, 27, 176], Operations: ['98+78=176'] Exploring Operation: 176/44=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 176/44=4 Current State: 23:[27, 4], Operations: ['98+78=176', '176/44=4'] Exploring Operation: 27-4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 95, 28, 68 ]
94
[ "2*95=190", "28+68=96", "190-96=94" ]
Current State: 94:[2, 95, 28, 68], Operations: [] Exploring Operation: 2*95=190, Resulting Numbers: [28, 68, 190] Generated Node #2: [28, 68, 190] from Operation: 2*95=190 Current State: 94:[28, 68, 190], Operations: ['2*95=190'] Exploring Operation: 28+68=96, Resulting Numbers: [190, 96] Generated Node #3: [190, 96] from Operation: 28+68=96 Current State: 94:[190, 96], Operations: ['2*95=190', '28+68=96'] Exploring Operation: 190-96=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 25, 13, 14, 23 ]
21
[ "25-13=12", "23-14=9", "12+9=21" ]
Current State: 21:[25, 13, 14, 23], Operations: [] Exploring Operation: 25-13=12, Resulting Numbers: [14, 23, 12] Generated Node #2: [14, 23, 12] from Operation: 25-13=12 Current State: 21:[14, 23, 12], Operations: ['25-13=12'] Exploring Operation: 23-14=9, Resulting Numbers: [12, 9] Generated Node #3: [12, 9] from Operation: 23-14=9 Current State: 21:[12, 9], Operations: ['25-13=12', '23-14=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 25, 46, 67, 5 ]
80
[ "67-46=21", "5*21=105", "105-25=80" ]
Current State: 80:[25, 46, 67, 5], Operations: [] Exploring Operation: 67-46=21, Resulting Numbers: [25, 5, 21] Generated Node #2: [25, 5, 21] from Operation: 67-46=21 Current State: 80:[25, 5, 21], Operations: ['67-46=21'] Exploring Operation: 5*21=105, Resulting Numbers: [25, 105] Generated Node #3: [25, 105] from Operation: 5*21=105 Current State: 80:[25, 105], Operations: ['67-46=21', '5*21=105'] Exploring Operation: 105-25=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 98, 76, 1 ]
36
[ "14+98=112", "76*1=76", "112-76=36" ]
Current State: 36:[14, 98, 76, 1], Operations: [] Exploring Operation: 14+98=112, Resulting Numbers: [76, 1, 112] Generated Node #2: [76, 1, 112] from Operation: 14+98=112 Current State: 36:[76, 1, 112], Operations: ['14+98=112'] Exploring Operation: 76*1=76, Resulting Numbers: [112, 76] Generated Node #3: [112, 76] from Operation: 76*1=76 Current State: 36:[112, 76], Operations: ['14+98=112', '76*1=76'] Exploring Operation: 112-76=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 22, 42, 74, 10 ]
39
[ "22*74=1628", "10+1628=1638", "1638/42=39" ]
Current State: 39:[22, 42, 74, 10], Operations: [] Exploring Operation: 22*74=1628, Resulting Numbers: [42, 10, 1628] Generated Node #2: [42, 10, 1628] from Operation: 22*74=1628 Current State: 39:[42, 10, 1628], Operations: ['22*74=1628'] Exploring Operation: 10+1628=1638, Resulting Numbers: [42, 1638] Generated Node #3: [42, 1638] from Operation: 10+1628=1638 Current State: 39:[42, 1638], Operations: ['22*74=1628', '10+1628=1638'] Exploring Operation: 1638/42=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 82, 1, 16 ]
52
[ "82-47=35", "1+16=17", "35+17=52" ]
Current State: 52:[47, 82, 1, 16], Operations: [] Exploring Operation: 82-47=35, Resulting Numbers: [1, 16, 35] Generated Node #2: [1, 16, 35] from Operation: 82-47=35 Current State: 52:[1, 16, 35], Operations: ['82-47=35'] Exploring Operation: 1+16=17, Resulting Numbers: [35, 17] Generated Node #3: [35, 17] from Operation: 1+16=17 Current State: 52:[35, 17], Operations: ['82-47=35', '1+16=17'] Exploring Operation: 35+17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 34, 11, 11, 51 ]
66
[ "34+11=45", "51-45=6", "11*6=66" ]
Current State: 66:[34, 11, 11, 51], Operations: [] Exploring Operation: 34+11=45, Resulting Numbers: [51, 45] Generated Node #2: [51, 45] from Operation: 34+11=45 Current State: 66:[51, 45], Operations: ['34+11=45'] Exploring Operation: 51-45=6, Resulting Numbers: [6] 6,66 equal: Goal Reached Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 37, 2, 54, 70 ]
55
[ "37+2=39", "70-54=16", "39+16=55" ]
Current State: 55:[37, 2, 54, 70], Operations: [] Exploring Operation: 37+2=39, Resulting Numbers: [54, 70, 39] Generated Node #2: [54, 70, 39] from Operation: 37+2=39 Current State: 55:[54, 70, 39], Operations: ['37+2=39'] Exploring Operation: 70-54=16, Resulting Numbers: [39, 16] Generated Node #3: [39, 16] from Operation: 70-54=16 Current State: 55:[39, 16], Operations: ['37+2=39', '70-54=16'] Exploring Operation: 39+16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 71, 28, 20 ]
13
[ "28-21=7", "71+20=91", "91/7=13" ]
Current State: 13:[21, 71, 28, 20], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [71, 20, 7] Generated Node #2: [71, 20, 7] from Operation: 28-21=7 Current State: 13:[71, 20, 7], Operations: ['28-21=7'] Exploring Operation: 71+20=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 71+20=91 Current State: 13:[7, 91], Operations: ['28-21=7', '71+20=91'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 70, 52, 50 ]
45
[ "50-40=10", "70/10=7", "52-7=45" ]
Current State: 45:[40, 70, 52, 50], Operations: [] Exploring Operation: 50-40=10, Resulting Numbers: [70, 52, 10] Generated Node #2: [70, 52, 10] from Operation: 50-40=10 Current State: 45:[70, 52, 10], Operations: ['50-40=10'] Exploring Operation: 70/10=7, Resulting Numbers: [52, 7] Generated Node #3: [52, 7] from Operation: 70/10=7 Current State: 45:[52, 7], Operations: ['50-40=10', '70/10=7'] Exploring Operation: 52-7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 7, 10, 95, 55 ]
43
[ "10-7=3", "95-55=40", "3+40=43" ]
Current State: 43:[7, 10, 95, 55], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [95, 55, 3] Generated Node #2: [95, 55, 3] from Operation: 10-7=3 Current State: 43:[95, 55, 3], Operations: ['10-7=3'] Exploring Operation: 95-55=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 95-55=40 Current State: 43:[3, 40], Operations: ['10-7=3', '95-55=40'] Exploring Operation: 3+40=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 84, 24, 12, 86 ]
18
[ "86-84=2", "24+12=36", "36/2=18" ]
Current State: 18:[84, 24, 12, 86], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [24, 12, 2] Generated Node #2: [24, 12, 2] from Operation: 86-84=2 Current State: 18:[24, 12, 2], Operations: ['86-84=2'] Exploring Operation: 24+12=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 24+12=36 Current State: 18:[2, 36], Operations: ['86-84=2', '24+12=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 24, 78, 62, 91 ]
34
[ "24*91=2184", "2184/78=28", "62-28=34" ]
Current State: 34:[24, 78, 62, 91], Operations: [] Exploring Operation: 24*91=2184, Resulting Numbers: [78, 62, 2184] Generated Node #2: [78, 62, 2184] from Operation: 24*91=2184 Current State: 34:[78, 62, 2184], Operations: ['24*91=2184'] Exploring Operation: 2184/78=28, Resulting Numbers: [62, 28] Generated Node #3: [62, 28] from Operation: 2184/78=28 Current State: 34:[62, 28], Operations: ['24*91=2184', '2184/78=28'] Exploring Operation: 62-28=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 44, 87, 74, 24 ]
33
[ "44+87=131", "74+24=98", "131-98=33" ]
Current State: 33:[44, 87, 74, 24], Operations: [] Exploring Operation: 44+87=131, Resulting Numbers: [74, 24, 131] Generated Node #2: [74, 24, 131] from Operation: 44+87=131 Current State: 33:[74, 24, 131], Operations: ['44+87=131'] Exploring Operation: 74+24=98, Resulting Numbers: [131, 98] Generated Node #3: [131, 98] from Operation: 74+24=98 Current State: 33:[131, 98], Operations: ['44+87=131', '74+24=98'] Exploring Operation: 131-98=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 91, 61, 31, 36 ]
50
[ "61*31=1891", "1891-91=1800", "1800/36=50" ]
Current State: 50:[91, 61, 31, 36], Operations: [] Exploring Operation: 61*31=1891, Resulting Numbers: [91, 36, 1891] Generated Node #2: [91, 36, 1891] from Operation: 61*31=1891 Current State: 50:[91, 36, 1891], Operations: ['61*31=1891'] Exploring Operation: 1891-91=1800, Resulting Numbers: [36, 1800] Generated Node #3: [36, 1800] from Operation: 1891-91=1800 Current State: 50:[36, 1800], Operations: ['61*31=1891', '1891-91=1800'] Exploring Operation: 1800/36=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 48, 38, 44, 6 ]
19
[ "48-44=4", "6-4=2", "38/2=19" ]
Current State: 19:[48, 38, 44, 6], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [38, 6, 4] Generated Node #2: [38, 6, 4] from Operation: 48-44=4 Current State: 19:[38, 6, 4], Operations: ['48-44=4'] Exploring Operation: 6-4=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 6-4=2 Current State: 19:[38, 2], Operations: ['48-44=4', '6-4=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 30, 23, 70, 22 ]
99
[ "30-23=7", "70+22=92", "7+92=99" ]
Current State: 99:[30, 23, 70, 22], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [70, 22, 7] Generated Node #2: [70, 22, 7] from Operation: 30-23=7 Current State: 99:[70, 22, 7], Operations: ['30-23=7'] Exploring Operation: 70+22=92, Resulting Numbers: [7, 92] Generated Node #3: [7, 92] from Operation: 70+22=92 Current State: 99:[7, 92], Operations: ['30-23=7', '70+22=92'] Exploring Operation: 7+92=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 36, 46, 47, 63 ]
28
[ "36+46=82", "47+63=110", "110-82=28" ]
Current State: 28:[36, 46, 47, 63], Operations: [] Exploring Operation: 36+46=82, Resulting Numbers: [47, 63, 82] Generated Node #2: [47, 63, 82] from Operation: 36+46=82 Current State: 28:[47, 63, 82], Operations: ['36+46=82'] Exploring Operation: 47+63=110, Resulting Numbers: [82, 110] Generated Node #3: [82, 110] from Operation: 47+63=110 Current State: 28:[82, 110], Operations: ['36+46=82', '47+63=110'] Exploring Operation: 110-82=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 2, 23, 10, 50 ]
68
[ "10/2=5", "23+50=73", "73-5=68" ]
Current State: 68:[2, 23, 10, 50], Operations: [] Exploring Operation: 10/2=5, Resulting Numbers: [23, 50, 5] Generated Node #2: [23, 50, 5] from Operation: 10/2=5 Current State: 68:[23, 50, 5], Operations: ['10/2=5'] Exploring Operation: 23+50=73, Resulting Numbers: [5, 73] Generated Node #3: [5, 73] from Operation: 23+50=73 Current State: 68:[5, 73], Operations: ['10/2=5', '23+50=73'] Exploring Operation: 73-5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 7, 24, 78 ]
74
[ "24/8=3", "78-7=71", "3+71=74" ]
Current State: 74:[8, 7, 24, 78], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [7, 78, 3] Generated Node #2: [7, 78, 3] from Operation: 24/8=3 Current State: 74:[7, 78, 3], Operations: ['24/8=3'] Exploring Operation: 78-7=71, Resulting Numbers: [3, 71] Generated Node #3: [3, 71] from Operation: 78-7=71 Current State: 74:[3, 71], Operations: ['24/8=3', '78-7=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 4, 54, 95, 12 ]
89
[ "4*12=48", "95-54=41", "48+41=89" ]
Current State: 89:[4, 54, 95, 12], Operations: [] Exploring Operation: 4*12=48, Resulting Numbers: [54, 95, 48] Generated Node #2: [54, 95, 48] from Operation: 4*12=48 Current State: 89:[54, 95, 48], Operations: ['4*12=48'] Exploring Operation: 95-54=41, Resulting Numbers: [48, 41] Generated Node #3: [48, 41] from Operation: 95-54=41 Current State: 89:[48, 41], Operations: ['4*12=48', '95-54=41'] Exploring Operation: 48+41=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 88, 10, 50 ]
20
[ "18*50=900", "88*10=880", "900-880=20" ]
Current State: 20:[18, 88, 10, 50], Operations: [] Exploring Operation: 18*50=900, Resulting Numbers: [88, 10, 900] Generated Node #2: [88, 10, 900] from Operation: 18*50=900 Current State: 20:[88, 10, 900], Operations: ['18*50=900'] Exploring Operation: 88*10=880, Resulting Numbers: [900, 880] Generated Node #3: [900, 880] from Operation: 88*10=880 Current State: 20:[900, 880], Operations: ['18*50=900', '88*10=880'] Exploring Operation: 900-880=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 90, 84, 38, 78 ]
53
[ "84-78=6", "90/6=15", "38+15=53" ]
Current State: 53:[90, 84, 38, 78], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [90, 38, 6] Generated Node #2: [90, 38, 6] from Operation: 84-78=6 Current State: 53:[90, 38, 6], Operations: ['84-78=6'] Exploring Operation: 90/6=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 90/6=15 Current State: 53:[38, 15], Operations: ['84-78=6', '90/6=15'] Exploring Operation: 38+15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 73, 99, 77 ]
33
[ "30*77=2310", "99+2310=2409", "2409/73=33" ]
Current State: 33:[30, 73, 99, 77], Operations: [] Exploring Operation: 30*77=2310, Resulting Numbers: [73, 99, 2310] Generated Node #2: [73, 99, 2310] from Operation: 30*77=2310 Current State: 33:[73, 99, 2310], Operations: ['30*77=2310'] Exploring Operation: 99+2310=2409, Resulting Numbers: [73, 2409] Generated Node #3: [73, 2409] from Operation: 99+2310=2409 Current State: 33:[73, 2409], Operations: ['30*77=2310', '99+2310=2409'] Exploring Operation: 2409/73=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 59, 44, 77, 60 ]
86
[ "59+44=103", "77-60=17", "103-17=86" ]
Current State: 86:[59, 44, 77, 60], Operations: [] Exploring Operation: 59+44=103, Resulting Numbers: [77, 60, 103] Generated Node #2: [77, 60, 103] from Operation: 59+44=103 Current State: 86:[77, 60, 103], Operations: ['59+44=103'] Exploring Operation: 77-60=17, Resulting Numbers: [103, 17] Generated Node #3: [103, 17] from Operation: 77-60=17 Current State: 86:[103, 17], Operations: ['59+44=103', '77-60=17'] Exploring Operation: 103-17=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 32, 64, 90 ]
56
[ "64/32=2", "90/2=45", "11+45=56" ]
Current State: 56:[11, 32, 64, 90], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [11, 90, 2] Generated Node #2: [11, 90, 2] from Operation: 64/32=2 Current State: 56:[11, 90, 2], Operations: ['64/32=2'] Exploring Operation: 90/2=45, Resulting Numbers: [11, 45] Generated Node #3: [11, 45] from Operation: 90/2=45 Current State: 56:[11, 45], Operations: ['64/32=2', '90/2=45'] Exploring Operation: 11+45=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 80, 29, 49, 66 ]
68
[ "80-29=51", "66-49=17", "51+17=68" ]
Current State: 68:[80, 29, 49, 66], Operations: [] Exploring Operation: 80-29=51, Resulting Numbers: [49, 66, 51] Generated Node #2: [49, 66, 51] from Operation: 80-29=51 Current State: 68:[49, 66, 51], Operations: ['80-29=51'] Exploring Operation: 66-49=17, Resulting Numbers: [51, 17] Generated Node #3: [51, 17] from Operation: 66-49=17 Current State: 68:[51, 17], Operations: ['80-29=51', '66-49=17'] Exploring Operation: 51+17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 15, 27, 18, 39 ]
49
[ "15*18=270", "270/27=10", "39+10=49" ]
Current State: 49:[15, 27, 18, 39], Operations: [] Exploring Operation: 15*18=270, Resulting Numbers: [27, 39, 270] Generated Node #2: [27, 39, 270] from Operation: 15*18=270 Current State: 49:[27, 39, 270], Operations: ['15*18=270'] Exploring Operation: 270/27=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 270/27=10 Current State: 49:[39, 10], Operations: ['15*18=270', '270/27=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 51, 29, 17, 35 ]
74
[ "51-29=22", "17+35=52", "22+52=74" ]
Current State: 74:[51, 29, 17, 35], Operations: [] Exploring Operation: 51-29=22, Resulting Numbers: [17, 35, 22] Generated Node #2: [17, 35, 22] from Operation: 51-29=22 Current State: 74:[17, 35, 22], Operations: ['51-29=22'] Exploring Operation: 17+35=52, Resulting Numbers: [22, 52] Generated Node #3: [22, 52] from Operation: 17+35=52 Current State: 74:[22, 52], Operations: ['51-29=22', '17+35=52'] Exploring Operation: 22+52=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 67, 25, 75 ]
34
[ "67-36=31", "75/25=3", "31+3=34" ]
Current State: 34:[36, 67, 25, 75], Operations: [] Exploring Operation: 67-36=31, Resulting Numbers: [25, 75, 31] Generated Node #2: [25, 75, 31] from Operation: 67-36=31 Current State: 34:[25, 75, 31], Operations: ['67-36=31'] Exploring Operation: 75/25=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 75/25=3 Current State: 34:[31, 3], Operations: ['67-36=31', '75/25=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 26, 83, 76 ]
38
[ "5+26=31", "83-76=7", "31+7=38" ]
Current State: 38:[5, 26, 83, 76], Operations: [] Exploring Operation: 5+26=31, Resulting Numbers: [83, 76, 31] Generated Node #2: [83, 76, 31] from Operation: 5+26=31 Current State: 38:[83, 76, 31], Operations: ['5+26=31'] Exploring Operation: 83-76=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 83-76=7 Current State: 38:[31, 7], Operations: ['5+26=31', '83-76=7'] Exploring Operation: 31+7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 83, 48, 61, 87 ]
52
[ "87-83=4", "61-48=13", "4*13=52" ]
Current State: 52:[83, 48, 61, 87], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [48, 61, 4] Generated Node #2: [48, 61, 4] from Operation: 87-83=4 Current State: 52:[48, 61, 4], Operations: ['87-83=4'] Exploring Operation: 61-48=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 61-48=13 Current State: 52:[4, 13], Operations: ['87-83=4', '61-48=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 88, 89, 96, 2 ]
98
[ "89-88=1", "96+2=98", "1*98=98" ]
Current State: 98:[88, 89, 96, 2], Operations: [] Exploring Operation: 89-88=1, Resulting Numbers: [96, 2, 1] Generated Node #2: [96, 2, 1] from Operation: 89-88=1 Current State: 98:[96, 2, 1], Operations: ['89-88=1'] Exploring Operation: 96+2=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 96+2=98 Current State: 98:[1, 98], Operations: ['89-88=1', '96+2=98'] Exploring Operation: 1*98=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 26, 32, 12, 84 ]
12
[ "32-26=6", "84-12=72", "72/6=12" ]
Current State: 12:[26, 32, 12, 84], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [12, 84, 6] Generated Node #2: [12, 84, 6] from Operation: 32-26=6 Current State: 12:[12, 84, 6], Operations: ['32-26=6'] Exploring Operation: 84-12=72, Resulting Numbers: [6, 72] Generated Node #3: [6, 72] from Operation: 84-12=72 Current State: 12:[6, 72], Operations: ['32-26=6', '84-12=72'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 5, 19, 6 ]
34
[ "6-3=3", "5*3=15", "19+15=34" ]
Current State: 34:[3, 5, 19, 6], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [5, 19, 3] Generated Node #2: [5, 19, 3] from Operation: 6-3=3 Current State: 34:[5, 19, 3], Operations: ['6-3=3'] Exploring Operation: 5*3=15, Resulting Numbers: [19, 15] Generated Node #3: [19, 15] from Operation: 5*3=15 Current State: 34:[19, 15], Operations: ['6-3=3', '5*3=15'] Exploring Operation: 19+15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 20, 22, 69 ]
74
[ "78+22=100", "100/20=5", "69+5=74" ]
Current State: 74:[78, 20, 22, 69], Operations: [] Exploring Operation: 78+22=100, Resulting Numbers: [20, 69, 100] Generated Node #2: [20, 69, 100] from Operation: 78+22=100 Current State: 74:[20, 69, 100], Operations: ['78+22=100'] Exploring Operation: 100/20=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 100/20=5 Current State: 74:[69, 5], Operations: ['78+22=100', '100/20=5'] Exploring Operation: 69+5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 51, 2, 10 ]
35
[ "51-36=15", "2*10=20", "15+20=35" ]
Current State: 35:[36, 51, 2, 10], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [2, 10, 15] Generated Node #2: [2, 10, 15] from Operation: 51-36=15 Current State: 35:[2, 10, 15], Operations: ['51-36=15'] Exploring Operation: 2*10=20, Resulting Numbers: [15, 20] Generated Node #3: [15, 20] from Operation: 2*10=20 Current State: 35:[15, 20], Operations: ['51-36=15', '2*10=20'] Exploring Operation: 15+20=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 27, 8, 61, 17 ]
48
[ "27+61=88", "8*17=136", "136-88=48" ]
Current State: 48:[27, 8, 61, 17], Operations: [] Exploring Operation: 27+61=88, Resulting Numbers: [8, 17, 88] Generated Node #2: [8, 17, 88] from Operation: 27+61=88 Current State: 48:[8, 17, 88], Operations: ['27+61=88'] Exploring Operation: 8*17=136, Resulting Numbers: [88, 136] Generated Node #3: [88, 136] from Operation: 8*17=136 Current State: 48:[88, 136], Operations: ['27+61=88', '8*17=136'] Exploring Operation: 136-88=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 52, 86, 46, 88 ]
12
[ "52-46=6", "88-86=2", "6*2=12" ]
Current State: 12:[52, 86, 46, 88], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [86, 88, 6] Generated Node #2: [86, 88, 6] from Operation: 52-46=6 Current State: 12:[86, 88, 6], Operations: ['52-46=6'] Exploring Operation: 88-86=2, Resulting Numbers: [6, 2] Generated Node #3: [6, 2] from Operation: 88-86=2 Current State: 12:[6, 2], Operations: ['52-46=6', '88-86=2'] Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 84, 80, 24, 75 ]
95
[ "84-80=4", "24+75=99", "99-4=95" ]
Current State: 95:[84, 80, 24, 75], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [24, 75, 4] Generated Node #2: [24, 75, 4] from Operation: 84-80=4 Current State: 95:[24, 75, 4], Operations: ['84-80=4'] Exploring Operation: 24+75=99, Resulting Numbers: [4, 99] Generated Node #3: [4, 99] from Operation: 24+75=99 Current State: 95:[4, 99], Operations: ['84-80=4', '24+75=99'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 34, 77, 47 ]
45
[ "49-34=15", "77-47=30", "15+30=45" ]
Current State: 45:[49, 34, 77, 47], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [77, 47, 15] Generated Node #2: [77, 47, 15] from Operation: 49-34=15 Current State: 45:[77, 47, 15], Operations: ['49-34=15'] Exploring Operation: 77-47=30, Resulting Numbers: [15, 30] Generated Node #3: [15, 30] from Operation: 77-47=30 Current State: 45:[15, 30], Operations: ['49-34=15', '77-47=30'] Exploring Operation: 15+30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 80, 31, 4 ]
18
[ "6-4=2", "31*2=62", "80-62=18" ]
Current State: 18:[6, 80, 31, 4], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [80, 31, 2] Generated Node #2: [80, 31, 2] from Operation: 6-4=2 Current State: 18:[80, 31, 2], Operations: ['6-4=2'] Exploring Operation: 31*2=62, Resulting Numbers: [80, 62] Generated Node #3: [80, 62] from Operation: 31*2=62 Current State: 18:[80, 62], Operations: ['6-4=2', '31*2=62'] Exploring Operation: 80-62=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 63, 29, 43, 2 ]
89
[ "63+29=92", "92/2=46", "43+46=89" ]
Current State: 89:[63, 29, 43, 2], Operations: [] Exploring Operation: 63+29=92, Resulting Numbers: [43, 2, 92] Generated Node #2: [43, 2, 92] from Operation: 63+29=92 Current State: 89:[43, 2, 92], Operations: ['63+29=92'] Exploring Operation: 92/2=46, Resulting Numbers: [43, 46] Generated Node #3: [43, 46] from Operation: 92/2=46 Current State: 89:[43, 46], Operations: ['63+29=92', '92/2=46'] Exploring Operation: 43+46=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 94, 97, 30 ]
65
[ "38+94=132", "97-30=67", "132-67=65" ]
Current State: 65:[38, 94, 97, 30], Operations: [] Exploring Operation: 38+94=132, Resulting Numbers: [97, 30, 132] Generated Node #2: [97, 30, 132] from Operation: 38+94=132 Current State: 65:[97, 30, 132], Operations: ['38+94=132'] Exploring Operation: 97-30=67, Resulting Numbers: [132, 67] Generated Node #3: [132, 67] from Operation: 97-30=67 Current State: 65:[132, 67], Operations: ['38+94=132', '97-30=67'] Exploring Operation: 132-67=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 36, 50, 84, 80 ]
10
[ "50-36=14", "84-80=4", "14-4=10" ]
Current State: 10:[36, 50, 84, 80], Operations: [] Exploring Operation: 50-36=14, Resulting Numbers: [84, 80, 14] Generated Node #2: [84, 80, 14] from Operation: 50-36=14 Current State: 10:[84, 80, 14], Operations: ['50-36=14'] Exploring Operation: 84-80=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 84-80=4 Current State: 10:[14, 4], Operations: ['50-36=14', '84-80=4'] Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 72, 64, 40, 96 ]
51
[ "72*40=2880", "2880/64=45", "96-45=51" ]
Current State: 51:[72, 64, 40, 96], Operations: [] Exploring Operation: 72*40=2880, Resulting Numbers: [64, 96, 2880] Generated Node #2: [64, 96, 2880] from Operation: 72*40=2880 Current State: 51:[64, 96, 2880], Operations: ['72*40=2880'] Exploring Operation: 2880/64=45, Resulting Numbers: [96, 45] Generated Node #3: [96, 45] from Operation: 2880/64=45 Current State: 51:[96, 45], Operations: ['72*40=2880', '2880/64=45'] Exploring Operation: 96-45=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 88, 11, 91, 40 ]
86
[ "88/11=8", "40/8=5", "91-5=86" ]
Current State: 86:[88, 11, 91, 40], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [91, 40, 8] Generated Node #2: [91, 40, 8] from Operation: 88/11=8 Current State: 86:[91, 40, 8], Operations: ['88/11=8'] Exploring Operation: 40/8=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 40/8=5 Current State: 86:[91, 5], Operations: ['88/11=8', '40/8=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 47, 4, 19, 2 ]
72
[ "47+4=51", "19+2=21", "51+21=72" ]
Current State: 72:[47, 4, 19, 2], Operations: [] Exploring Operation: 47+4=51, Resulting Numbers: [19, 2, 51] Generated Node #2: [19, 2, 51] from Operation: 47+4=51 Current State: 72:[19, 2, 51], Operations: ['47+4=51'] Exploring Operation: 19+2=21, Resulting Numbers: [51, 21] Generated Node #3: [51, 21] from Operation: 19+2=21 Current State: 72:[51, 21], Operations: ['47+4=51', '19+2=21'] Exploring Operation: 51+21=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 77, 88, 24 ]
66
[ "48*77=3696", "3696/88=42", "24+42=66" ]
Current State: 66:[48, 77, 88, 24], Operations: [] Exploring Operation: 48*77=3696, Resulting Numbers: [88, 24, 3696] Generated Node #2: [88, 24, 3696] from Operation: 48*77=3696 Current State: 66:[88, 24, 3696], Operations: ['48*77=3696'] Exploring Operation: 3696/88=42, Resulting Numbers: [24, 42] Generated Node #3: [24, 42] from Operation: 3696/88=42 Current State: 66:[24, 42], Operations: ['48*77=3696', '3696/88=42'] Exploring Operation: 24+42=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 20, 33, 43, 38 ]
19
[ "43-33=10", "20/10=2", "38/2=19" ]
Current State: 19:[20, 33, 43, 38], Operations: [] Exploring Operation: 43-33=10, Resulting Numbers: [20, 38, 10] Generated Node #2: [20, 38, 10] from Operation: 43-33=10 Current State: 19:[20, 38, 10], Operations: ['43-33=10'] Exploring Operation: 20/10=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 20/10=2 Current State: 19:[38, 2], Operations: ['43-33=10', '20/10=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 41, 88, 7, 9 ]
45
[ "88-41=47", "9-7=2", "47-2=45" ]
Current State: 45:[41, 88, 7, 9], Operations: [] Exploring Operation: 88-41=47, Resulting Numbers: [7, 9, 47] Generated Node #2: [7, 9, 47] from Operation: 88-41=47 Current State: 45:[7, 9, 47], Operations: ['88-41=47'] Exploring Operation: 9-7=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 9-7=2 Current State: 45:[47, 2], Operations: ['88-41=47', '9-7=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 8, 52, 13, 11 ]
48
[ "13-11=2", "8/2=4", "52-4=48" ]
Current State: 48:[8, 52, 13, 11], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [8, 52, 2] Generated Node #2: [8, 52, 2] from Operation: 13-11=2 Current State: 48:[8, 52, 2], Operations: ['13-11=2'] Exploring Operation: 8/2=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 8/2=4 Current State: 48:[52, 4], Operations: ['13-11=2', '8/2=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 71, 72, 51, 5 ]
57
[ "72-71=1", "51+5=56", "1+56=57" ]
Current State: 57:[71, 72, 51, 5], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [51, 5, 1] Generated Node #2: [51, 5, 1] from Operation: 72-71=1 Current State: 57:[51, 5, 1], Operations: ['72-71=1'] Exploring Operation: 51+5=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 51+5=56 Current State: 57:[1, 56], Operations: ['72-71=1', '51+5=56'] Exploring Operation: 1+56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 33, 13, 86, 64 ]
67
[ "13+86=99", "99/33=3", "64+3=67" ]
Current State: 67:[33, 13, 86, 64], Operations: [] Exploring Operation: 13+86=99, Resulting Numbers: [33, 64, 99] Generated Node #2: [33, 64, 99] from Operation: 13+86=99 Current State: 67:[33, 64, 99], Operations: ['13+86=99'] Exploring Operation: 99/33=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 99/33=3 Current State: 67:[64, 3], Operations: ['13+86=99', '99/33=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 46, 85, 36, 23 ]
13
[ "46*36=1656", "1656/23=72", "85-72=13" ]
Current State: 13:[46, 85, 36, 23], Operations: [] Exploring Operation: 46*36=1656, Resulting Numbers: [85, 23, 1656] Generated Node #2: [85, 23, 1656] from Operation: 46*36=1656 Current State: 13:[85, 23, 1656], Operations: ['46*36=1656'] Exploring Operation: 1656/23=72, Resulting Numbers: [85, 72] Generated Node #3: [85, 72] from Operation: 1656/23=72 Current State: 13:[85, 72], Operations: ['46*36=1656', '1656/23=72'] Exploring Operation: 85-72=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 18, 52, 80, 98 ]
16
[ "52-18=34", "98-80=18", "34-18=16" ]
Current State: 16:[18, 52, 80, 98], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [80, 98, 34] Generated Node #2: [80, 98, 34] from Operation: 52-18=34 Current State: 16:[80, 98, 34], Operations: ['52-18=34'] Exploring Operation: 98-80=18, Resulting Numbers: [34, 18] Generated Node #3: [34, 18] from Operation: 98-80=18 Current State: 16:[34, 18], Operations: ['52-18=34', '98-80=18'] Exploring Operation: 34-18=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 56, 26, 74, 80 ]
16
[ "56+74=130", "26*80=2080", "2080/130=16" ]
Current State: 16:[56, 26, 74, 80], Operations: [] Exploring Operation: 56+74=130, Resulting Numbers: [26, 80, 130] Generated Node #2: [26, 80, 130] from Operation: 56+74=130 Current State: 16:[26, 80, 130], Operations: ['56+74=130'] Exploring Operation: 26*80=2080, Resulting Numbers: [130, 2080] Generated Node #3: [130, 2080] from Operation: 26*80=2080 Current State: 16:[130, 2080], Operations: ['56+74=130', '26*80=2080'] Exploring Operation: 2080/130=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 58, 62, 62, 46 ]
11
[ "58-46=12", "62/62=1", "12-1=11" ]
Current State: 11:[58, 62, 62, 46], Operations: [] Exploring Operation: 58-46=12, Resulting Numbers: [62, 62, 12] Generated Node #2: [62, 62, 12] from Operation: 58-46=12 Current State: 11:[62, 62, 12], Operations: ['58-46=12'] Exploring Operation: 62/62=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 62/62=1 Current State: 11:[12, 1], Operations: ['58-46=12', '62/62=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 26, 56, 8, 19 ]
41
[ "56-26=30", "19-8=11", "30+11=41" ]
Current State: 41:[26, 56, 8, 19], Operations: [] Exploring Operation: 56-26=30, Resulting Numbers: [8, 19, 30] Generated Node #2: [8, 19, 30] from Operation: 56-26=30 Current State: 41:[8, 19, 30], Operations: ['56-26=30'] Exploring Operation: 19-8=11, Resulting Numbers: [30, 11] Generated Node #3: [30, 11] from Operation: 19-8=11 Current State: 41:[30, 11], Operations: ['56-26=30', '19-8=11'] Exploring Operation: 30+11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 89, 69, 39, 8 ]
51
[ "89-69=20", "39-8=31", "20+31=51" ]
Current State: 51:[89, 69, 39, 8], Operations: [] Exploring Operation: 89-69=20, Resulting Numbers: [39, 8, 20] Generated Node #2: [39, 8, 20] from Operation: 89-69=20 Current State: 51:[39, 8, 20], Operations: ['89-69=20'] Exploring Operation: 39-8=31, Resulting Numbers: [20, 31] Generated Node #3: [20, 31] from Operation: 39-8=31 Current State: 51:[20, 31], Operations: ['89-69=20', '39-8=31'] Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 55, 17, 76, 70 ]
32
[ "55-17=38", "76-70=6", "38-6=32" ]
Current State: 32:[55, 17, 76, 70], Operations: [] Exploring Operation: 55-17=38, Resulting Numbers: [76, 70, 38] Generated Node #2: [76, 70, 38] from Operation: 55-17=38 Current State: 32:[76, 70, 38], Operations: ['55-17=38'] Exploring Operation: 76-70=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 76-70=6 Current State: 32:[38, 6], Operations: ['55-17=38', '76-70=6'] Exploring Operation: 38-6=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 45, 87, 2, 15 ]
51
[ "45+87=132", "132/2=66", "66-15=51" ]
Current State: 51:[45, 87, 2, 15], Operations: [] Exploring Operation: 45+87=132, Resulting Numbers: [2, 15, 132] Generated Node #2: [2, 15, 132] from Operation: 45+87=132 Current State: 51:[2, 15, 132], Operations: ['45+87=132'] Exploring Operation: 132/2=66, Resulting Numbers: [15, 66] Generated Node #3: [15, 66] from Operation: 132/2=66 Current State: 51:[15, 66], Operations: ['45+87=132', '132/2=66'] Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 86, 26, 55 ]
25
[ "86-26=60", "60/2=30", "55-30=25" ]
Current State: 25:[2, 86, 26, 55], Operations: [] Exploring Operation: 86-26=60, Resulting Numbers: [2, 55, 60] Generated Node #2: [2, 55, 60] from Operation: 86-26=60 Current State: 25:[2, 55, 60], Operations: ['86-26=60'] Exploring Operation: 60/2=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 60/2=30 Current State: 25:[55, 30], Operations: ['86-26=60', '60/2=30'] Exploring Operation: 55-30=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 97, 3, 1 ]
91
[ "97-4=93", "3-1=2", "93-2=91" ]
Current State: 91:[4, 97, 3, 1], Operations: [] Exploring Operation: 97-4=93, Resulting Numbers: [3, 1, 93] Generated Node #2: [3, 1, 93] from Operation: 97-4=93 Current State: 91:[3, 1, 93], Operations: ['97-4=93'] Exploring Operation: 3-1=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 3-1=2 Current State: 91:[93, 2], Operations: ['97-4=93', '3-1=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 65, 5, 4, 3 ]
80
[ "65-5=60", "4*60=240", "240/3=80" ]
Current State: 80:[65, 5, 4, 3], Operations: [] Exploring Operation: 65-5=60, Resulting Numbers: [4, 3, 60] Generated Node #2: [4, 3, 60] from Operation: 65-5=60 Current State: 80:[4, 3, 60], Operations: ['65-5=60'] Exploring Operation: 4*60=240, Resulting Numbers: [3, 240] Generated Node #3: [3, 240] from Operation: 4*60=240 Current State: 80:[3, 240], Operations: ['65-5=60', '4*60=240'] Exploring Operation: 240/3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 45, 91, 32, 3 ]
42
[ "91-45=46", "46-32=14", "3*14=42" ]
Current State: 42:[45, 91, 32, 3], Operations: [] Exploring Operation: 91-45=46, Resulting Numbers: [32, 3, 46] Generated Node #2: [32, 3, 46] from Operation: 91-45=46 Current State: 42:[32, 3, 46], Operations: ['91-45=46'] Exploring Operation: 46-32=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 46-32=14 Current State: 42:[3, 14], Operations: ['91-45=46', '46-32=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 27, 84, 71 ]
34
[ "27+84=111", "111/3=37", "71-37=34" ]
Current State: 34:[3, 27, 84, 71], Operations: [] Exploring Operation: 27+84=111, Resulting Numbers: [3, 71, 111] Generated Node #2: [3, 71, 111] from Operation: 27+84=111 Current State: 34:[3, 71, 111], Operations: ['27+84=111'] Exploring Operation: 111/3=37, Resulting Numbers: [71, 37] Generated Node #3: [71, 37] from Operation: 111/3=37 Current State: 34:[71, 37], Operations: ['27+84=111', '111/3=37'] Exploring Operation: 71-37=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 62, 84, 4 ]
34
[ "62-16=46", "84-4=80", "80-46=34" ]
Current State: 34:[16, 62, 84, 4], Operations: [] Exploring Operation: 62-16=46, Resulting Numbers: [84, 4, 46] Generated Node #2: [84, 4, 46] from Operation: 62-16=46 Current State: 34:[84, 4, 46], Operations: ['62-16=46'] Exploring Operation: 84-4=80, Resulting Numbers: [46, 80] Generated Node #3: [46, 80] from Operation: 84-4=80 Current State: 34:[46, 80], Operations: ['62-16=46', '84-4=80'] Exploring Operation: 80-46=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 35, 39, 16, 1 ]
68
[ "39-35=4", "16+1=17", "4*17=68" ]
Current State: 68:[35, 39, 16, 1], Operations: [] Exploring Operation: 39-35=4, Resulting Numbers: [16, 1, 4] Generated Node #2: [16, 1, 4] from Operation: 39-35=4 Current State: 68:[16, 1, 4], Operations: ['39-35=4'] Exploring Operation: 16+1=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 16+1=17 Current State: 68:[4, 17], Operations: ['39-35=4', '16+1=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 76, 71, 28 ]
30
[ "76*28=2128", "2+2128=2130", "2130/71=30" ]
Current State: 30:[2, 76, 71, 28], Operations: [] Exploring Operation: 76*28=2128, Resulting Numbers: [2, 71, 2128] Generated Node #2: [2, 71, 2128] from Operation: 76*28=2128 Current State: 30:[2, 71, 2128], Operations: ['76*28=2128'] Exploring Operation: 2+2128=2130, Resulting Numbers: [71, 2130] Generated Node #3: [71, 2130] from Operation: 2+2128=2130 Current State: 30:[71, 2130], Operations: ['76*28=2128', '2+2128=2130'] Exploring Operation: 2130/71=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 55, 66, 2, 76 ]
60
[ "76-66=10", "10/2=5", "55+5=60" ]
Current State: 60:[55, 66, 2, 76], Operations: [] Exploring Operation: 76-66=10, Resulting Numbers: [55, 2, 10] Generated Node #2: [55, 2, 10] from Operation: 76-66=10 Current State: 60:[55, 2, 10], Operations: ['76-66=10'] Exploring Operation: 10/2=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 10/2=5 Current State: 60:[55, 5], Operations: ['76-66=10', '10/2=5'] Exploring Operation: 55+5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 93, 87, 84, 29 ]
53
[ "93*29=2697", "2697/87=31", "84-31=53" ]
Current State: 53:[93, 87, 84, 29], Operations: [] Exploring Operation: 93*29=2697, Resulting Numbers: [87, 84, 2697] Generated Node #2: [87, 84, 2697] from Operation: 93*29=2697 Current State: 53:[87, 84, 2697], Operations: ['93*29=2697'] Exploring Operation: 2697/87=31, Resulting Numbers: [84, 31] Generated Node #3: [84, 31] from Operation: 2697/87=31 Current State: 53:[84, 31], Operations: ['93*29=2697', '2697/87=31'] Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 32, 38, 16, 36 ]
40
[ "32*38=1216", "1216/16=76", "76-36=40" ]
Current State: 40:[32, 38, 16, 36], Operations: [] Exploring Operation: 32*38=1216, Resulting Numbers: [16, 36, 1216] Generated Node #2: [16, 36, 1216] from Operation: 32*38=1216 Current State: 40:[16, 36, 1216], Operations: ['32*38=1216'] Exploring Operation: 1216/16=76, Resulting Numbers: [36, 76] Generated Node #3: [36, 76] from Operation: 1216/16=76 Current State: 40:[36, 76], Operations: ['32*38=1216', '1216/16=76'] Exploring Operation: 76-36=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 60, 41, 31, 10 ]
80
[ "60+41=101", "31-10=21", "101-21=80" ]
Current State: 80:[60, 41, 31, 10], Operations: [] Exploring Operation: 60+41=101, Resulting Numbers: [31, 10, 101] Generated Node #2: [31, 10, 101] from Operation: 60+41=101 Current State: 80:[31, 10, 101], Operations: ['60+41=101'] Exploring Operation: 31-10=21, Resulting Numbers: [101, 21] Generated Node #3: [101, 21] from Operation: 31-10=21 Current State: 80:[101, 21], Operations: ['60+41=101', '31-10=21'] Exploring Operation: 101-21=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4