Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 98, 37, 1, 14 ]
75
[ "98-37=61", "1*14=14", "61+14=75" ]
Current State: 75:[98, 37, 1, 14], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [1, 14, 61] Generated Node #2: [1, 14, 61] from Operation: 98-37=61 Current State: 75:[1, 14, 61], Operations: ['98-37=61'] Exploring Operation: 1*14=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 1*14=14 Current State: 75:[61, 14], Operations: ['98-37=61', '1*14=14'] Exploring Operation: 61+14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 69, 77, 53, 72 ]
23
[ "77-53=24", "69*24=1656", "1656/72=23" ]
Current State: 23:[69, 77, 53, 72], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [69, 72, 24] Generated Node #2: [69, 72, 24] from Operation: 77-53=24 Current State: 23:[69, 72, 24], Operations: ['77-53=24'] Exploring Operation: 69*24=1656, Resulting Numbers: [72, 1656] Generated Node #3: [72, 1656] from Operation: 69*24=1656 Current State: 23:[72, 1656], Operations: ['77-53=24', '69*24=1656'] Exploring Operation: 1656/72=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 92, 66, 17, 4 ]
36
[ "92-66=26", "26-17=9", "4*9=36" ]
Current State: 36:[92, 66, 17, 4], Operations: [] Exploring Operation: 92-66=26, Resulting Numbers: [17, 4, 26] Generated Node #2: [17, 4, 26] from Operation: 92-66=26 Current State: 36:[17, 4, 26], Operations: ['92-66=26'] Exploring Operation: 26-17=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 26-17=9 Current State: 36:[4, 9], Operations: ['92-66=26', '26-17=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 3, 2, 17, 93 ]
70
[ "3*2=6", "93-17=76", "76-6=70" ]
Current State: 70:[3, 2, 17, 93], Operations: [] Exploring Operation: 3*2=6, Resulting Numbers: [17, 93, 6] Generated Node #2: [17, 93, 6] from Operation: 3*2=6 Current State: 70:[17, 93, 6], Operations: ['3*2=6'] Exploring Operation: 93-17=76, Resulting Numbers: [6, 76] Generated Node #3: [6, 76] from Operation: 93-17=76 Current State: 70:[6, 76], Operations: ['3*2=6', '93-17=76'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 6, 84, 83 ]
95
[ "83-17=66", "66/6=11", "84+11=95" ]
Current State: 95:[17, 6, 84, 83], Operations: [] Exploring Operation: 83-17=66, Resulting Numbers: [6, 84, 66] Generated Node #2: [6, 84, 66] from Operation: 83-17=66 Current State: 95:[6, 84, 66], Operations: ['83-17=66'] Exploring Operation: 66/6=11, Resulting Numbers: [84, 11] Generated Node #3: [84, 11] from Operation: 66/6=11 Current State: 95:[84, 11], Operations: ['83-17=66', '66/6=11'] Exploring Operation: 84+11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 33, 49, 88, 3 ]
69
[ "49-33=16", "88-3=85", "85-16=69" ]
Current State: 69:[33, 49, 88, 3], Operations: [] Exploring Operation: 49-33=16, Resulting Numbers: [88, 3, 16] Generated Node #2: [88, 3, 16] from Operation: 49-33=16 Current State: 69:[88, 3, 16], Operations: ['49-33=16'] Exploring Operation: 88-3=85, Resulting Numbers: [16, 85] Generated Node #3: [16, 85] from Operation: 88-3=85 Current State: 69:[16, 85], Operations: ['49-33=16', '88-3=85'] Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 72, 14, 96 ]
90
[ "14-2=12", "72/12=6", "96-6=90" ]
Current State: 90:[2, 72, 14, 96], Operations: [] Exploring Operation: 14-2=12, Resulting Numbers: [72, 96, 12] Generated Node #2: [72, 96, 12] from Operation: 14-2=12 Current State: 90:[72, 96, 12], Operations: ['14-2=12'] Exploring Operation: 72/12=6, Resulting Numbers: [96, 6] Generated Node #3: [96, 6] from Operation: 72/12=6 Current State: 90:[96, 6], Operations: ['14-2=12', '72/12=6'] Exploring Operation: 96-6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 30, 33, 43 ]
79
[ "99-30=69", "43-33=10", "69+10=79" ]
Current State: 79:[99, 30, 33, 43], Operations: [] Exploring Operation: 99-30=69, Resulting Numbers: [33, 43, 69] Generated Node #2: [33, 43, 69] from Operation: 99-30=69 Current State: 79:[33, 43, 69], Operations: ['99-30=69'] Exploring Operation: 43-33=10, Resulting Numbers: [69, 10] Generated Node #3: [69, 10] from Operation: 43-33=10 Current State: 79:[69, 10], Operations: ['99-30=69', '43-33=10'] Exploring Operation: 69+10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 41, 82, 52, 93 ]
67
[ "82/41=2", "52/2=26", "93-26=67" ]
Current State: 67:[41, 82, 52, 93], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [52, 93, 2] Generated Node #2: [52, 93, 2] from Operation: 82/41=2 Current State: 67:[52, 93, 2], Operations: ['82/41=2'] Exploring Operation: 52/2=26, Resulting Numbers: [93, 26] Generated Node #3: [93, 26] from Operation: 52/2=26 Current State: 67:[93, 26], Operations: ['82/41=2', '52/2=26'] Exploring Operation: 93-26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 73, 2, 8, 65 ]
97
[ "73+8=81", "2*81=162", "162-65=97" ]
Current State: 97:[73, 2, 8, 65], Operations: [] Exploring Operation: 73+8=81, Resulting Numbers: [2, 65, 81] Generated Node #2: [2, 65, 81] from Operation: 73+8=81 Current State: 97:[2, 65, 81], Operations: ['73+8=81'] Exploring Operation: 2*81=162, Resulting Numbers: [65, 162] Generated Node #3: [65, 162] from Operation: 2*81=162 Current State: 97:[65, 162], Operations: ['73+8=81', '2*81=162'] Exploring Operation: 162-65=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 16, 25, 36, 20 ]
34
[ "20-16=4", "36/4=9", "25+9=34" ]
Current State: 34:[16, 25, 36, 20], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [25, 36, 4] Generated Node #2: [25, 36, 4] from Operation: 20-16=4 Current State: 34:[25, 36, 4], Operations: ['20-16=4'] Exploring Operation: 36/4=9, Resulting Numbers: [25, 9] Generated Node #3: [25, 9] from Operation: 36/4=9 Current State: 34:[25, 9], Operations: ['20-16=4', '36/4=9'] Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 48, 90, 49 ]
12
[ "5+48=53", "90-49=41", "53-41=12" ]
Current State: 12:[5, 48, 90, 49], Operations: [] Exploring Operation: 5+48=53, Resulting Numbers: [90, 49, 53] Generated Node #2: [90, 49, 53] from Operation: 5+48=53 Current State: 12:[90, 49, 53], Operations: ['5+48=53'] Exploring Operation: 90-49=41, Resulting Numbers: [53, 41] Generated Node #3: [53, 41] from Operation: 90-49=41 Current State: 12:[53, 41], Operations: ['5+48=53', '90-49=41'] Exploring Operation: 53-41=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 81, 6, 44, 93 ]
88
[ "93-81=12", "12/6=2", "44*2=88" ]
Current State: 88:[81, 6, 44, 93], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [6, 44, 12] Generated Node #2: [6, 44, 12] from Operation: 93-81=12 Current State: 88:[6, 44, 12], Operations: ['93-81=12'] Exploring Operation: 12/6=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 12/6=2 Current State: 88:[44, 2], Operations: ['93-81=12', '12/6=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 62, 5, 87 ]
70
[ "11+62=73", "87-73=14", "5*14=70" ]
Current State: 70:[11, 62, 5, 87], Operations: [] Exploring Operation: 11+62=73, Resulting Numbers: [5, 87, 73] Generated Node #2: [5, 87, 73] from Operation: 11+62=73 Current State: 70:[5, 87, 73], Operations: ['11+62=73'] Exploring Operation: 87-73=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 87-73=14 Current State: 70:[5, 14], Operations: ['11+62=73', '87-73=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 16, 15, 32, 36 ]
42
[ "32/16=2", "36-15=21", "2*21=42" ]
Current State: 42:[16, 15, 32, 36], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [15, 36, 2] Generated Node #2: [15, 36, 2] from Operation: 32/16=2 Current State: 42:[15, 36, 2], Operations: ['32/16=2'] Exploring Operation: 36-15=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 36-15=21 Current State: 42:[2, 21], Operations: ['32/16=2', '36-15=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 81, 6, 20, 56 ]
87
[ "56-20=36", "36/6=6", "81+6=87" ]
Current State: 87:[81, 6, 20, 56], Operations: [] Exploring Operation: 56-20=36, Resulting Numbers: [81, 6, 36] Generated Node #2: [81, 6, 36] from Operation: 56-20=36 Current State: 87:[81, 6, 36], Operations: ['56-20=36'] Exploring Operation: 36/6=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 36/6=6 Current State: 87:[81, 6], Operations: ['56-20=36', '36/6=6'] Exploring Operation: 81+6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 9, 9, 11, 96 ]
12
[ "9*11=99", "96-9=87", "99-87=12" ]
Current State: 12:[9, 9, 11, 96], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [96, 99] Generated Node #2: [96, 99] from Operation: 9*11=99 Current State: 12:[96, 99], Operations: ['9*11=99'] Exploring Operation: 96-9=87, Resulting Numbers: [99, 87] Generated Node #3: [99, 87] from Operation: 96-9=87 Current State: 12:[99, 87], Operations: ['9*11=99', '96-9=87'] Exploring Operation: 99-87=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 5, 8, 72, 93 ]
25
[ "72+93=165", "165/5=33", "33-8=25" ]
Current State: 25:[5, 8, 72, 93], Operations: [] Exploring Operation: 72+93=165, Resulting Numbers: [5, 8, 165] Generated Node #2: [5, 8, 165] from Operation: 72+93=165 Current State: 25:[5, 8, 165], Operations: ['72+93=165'] Exploring Operation: 165/5=33, Resulting Numbers: [8, 33] Generated Node #3: [8, 33] from Operation: 165/5=33 Current State: 25:[8, 33], Operations: ['72+93=165', '165/5=33'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 75, 8, 93, 98 ]
23
[ "98-93=5", "75/5=15", "8+15=23" ]
Current State: 23:[75, 8, 93, 98], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [75, 8, 5] Generated Node #2: [75, 8, 5] from Operation: 98-93=5 Current State: 23:[75, 8, 5], Operations: ['98-93=5'] Exploring Operation: 75/5=15, Resulting Numbers: [8, 15] Generated Node #3: [8, 15] from Operation: 75/5=15 Current State: 23:[8, 15], Operations: ['98-93=5', '75/5=15'] Exploring Operation: 8+15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 36, 6, 25 ]
45
[ "36-10=26", "25-6=19", "26+19=45" ]
Current State: 45:[10, 36, 6, 25], Operations: [] Exploring Operation: 36-10=26, Resulting Numbers: [6, 25, 26] Generated Node #2: [6, 25, 26] from Operation: 36-10=26 Current State: 45:[6, 25, 26], Operations: ['36-10=26'] Exploring Operation: 25-6=19, Resulting Numbers: [26, 19] Generated Node #3: [26, 19] from Operation: 25-6=19 Current State: 45:[26, 19], Operations: ['36-10=26', '25-6=19'] Exploring Operation: 26+19=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 51, 44, 27, 73 ]
49
[ "51+44=95", "73-27=46", "95-46=49" ]
Current State: 49:[51, 44, 27, 73], Operations: [] Exploring Operation: 51+44=95, Resulting Numbers: [27, 73, 95] Generated Node #2: [27, 73, 95] from Operation: 51+44=95 Current State: 49:[27, 73, 95], Operations: ['51+44=95'] Exploring Operation: 73-27=46, Resulting Numbers: [95, 46] Generated Node #3: [95, 46] from Operation: 73-27=46 Current State: 49:[95, 46], Operations: ['51+44=95', '73-27=46'] Exploring Operation: 95-46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 24, 65, 3, 79 ]
41
[ "65-24=41", "3+79=82", "82-41=41" ]
Current State: 41:[24, 65, 3, 79], Operations: [] Exploring Operation: 65-24=41, Resulting Numbers: [3, 79, 41] Generated Node #2: [3, 79, 41] from Operation: 65-24=41 Current State: 41:[3, 79, 41], Operations: ['65-24=41'] Exploring Operation: 3+79=82, Resulting Numbers: [41, 82] Generated Node #3: [41, 82] from Operation: 3+79=82 Current State: 41:[41, 82], Operations: ['65-24=41', '3+79=82'] Exploring Operation: 82-41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 66, 3, 74, 64 ]
75
[ "66-3=63", "74+64=138", "138-63=75" ]
Current State: 75:[66, 3, 74, 64], Operations: [] Exploring Operation: 66-3=63, Resulting Numbers: [74, 64, 63] Generated Node #2: [74, 64, 63] from Operation: 66-3=63 Current State: 75:[74, 64, 63], Operations: ['66-3=63'] Exploring Operation: 74+64=138, Resulting Numbers: [63, 138] Generated Node #3: [63, 138] from Operation: 74+64=138 Current State: 75:[63, 138], Operations: ['66-3=63', '74+64=138'] Exploring Operation: 138-63=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 84, 44, 12, 84 ]
57
[ "84/84=1", "44+12=56", "1+56=57" ]
Current State: 57:[84, 44, 12, 84], Operations: [] Exploring Operation: 84/84=1, Resulting Numbers: [44, 12, 1] Generated Node #2: [44, 12, 1] from Operation: 84/84=1 Current State: 57:[44, 12, 1], Operations: ['84/84=1'] Exploring Operation: 44+12=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 44+12=56 Current State: 57:[1, 56], Operations: ['84/84=1', '44+12=56'] Exploring Operation: 1+56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 96, 97, 70, 55 ]
68
[ "96+97=193", "70+55=125", "193-125=68" ]
Current State: 68:[96, 97, 70, 55], Operations: [] Exploring Operation: 96+97=193, Resulting Numbers: [70, 55, 193] Generated Node #2: [70, 55, 193] from Operation: 96+97=193 Current State: 68:[70, 55, 193], Operations: ['96+97=193'] Exploring Operation: 70+55=125, Resulting Numbers: [193, 125] Generated Node #3: [193, 125] from Operation: 70+55=125 Current State: 68:[193, 125], Operations: ['96+97=193', '70+55=125'] Exploring Operation: 193-125=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 70, 64, 61, 22 ]
95
[ "70+64=134", "61-22=39", "134-39=95" ]
Current State: 95:[70, 64, 61, 22], Operations: [] Exploring Operation: 70+64=134, Resulting Numbers: [61, 22, 134] Generated Node #2: [61, 22, 134] from Operation: 70+64=134 Current State: 95:[61, 22, 134], Operations: ['70+64=134'] Exploring Operation: 61-22=39, Resulting Numbers: [134, 39] Generated Node #3: [134, 39] from Operation: 61-22=39 Current State: 95:[134, 39], Operations: ['70+64=134', '61-22=39'] Exploring Operation: 134-39=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 23, 16, 57, 98 ]
71
[ "23-16=7", "98/7=14", "57+14=71" ]
Current State: 71:[23, 16, 57, 98], Operations: [] Exploring Operation: 23-16=7, Resulting Numbers: [57, 98, 7] Generated Node #2: [57, 98, 7] from Operation: 23-16=7 Current State: 71:[57, 98, 7], Operations: ['23-16=7'] Exploring Operation: 98/7=14, Resulting Numbers: [57, 14] Generated Node #3: [57, 14] from Operation: 98/7=14 Current State: 71:[57, 14], Operations: ['23-16=7', '98/7=14'] Exploring Operation: 57+14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 26, 2, 35, 11 ]
100
[ "26+35=61", "61-11=50", "2*50=100" ]
Current State: 100:[26, 2, 35, 11], Operations: [] Exploring Operation: 26+35=61, Resulting Numbers: [2, 11, 61] Generated Node #2: [2, 11, 61] from Operation: 26+35=61 Current State: 100:[2, 11, 61], Operations: ['26+35=61'] Exploring Operation: 61-11=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 61-11=50 Current State: 100:[2, 50], Operations: ['26+35=61', '61-11=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 81, 83, 11, 37 ]
15
[ "83-81=2", "11*2=22", "37-22=15" ]
Current State: 15:[81, 83, 11, 37], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [11, 37, 2] Generated Node #2: [11, 37, 2] from Operation: 83-81=2 Current State: 15:[11, 37, 2], Operations: ['83-81=2'] Exploring Operation: 11*2=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 11*2=22 Current State: 15:[37, 22], Operations: ['83-81=2', '11*2=22'] Exploring Operation: 37-22=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 11, 17, 72, 31 ]
36
[ "72-17=55", "55/11=5", "31+5=36" ]
Current State: 36:[11, 17, 72, 31], Operations: [] Exploring Operation: 72-17=55, Resulting Numbers: [11, 31, 55] Generated Node #2: [11, 31, 55] from Operation: 72-17=55 Current State: 36:[11, 31, 55], Operations: ['72-17=55'] Exploring Operation: 55/11=5, Resulting Numbers: [31, 5] Generated Node #3: [31, 5] from Operation: 55/11=5 Current State: 36:[31, 5], Operations: ['72-17=55', '55/11=5'] Exploring Operation: 31+5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 42, 14, 31, 33 ]
98
[ "33-31=2", "42*2=84", "14+84=98" ]
Current State: 98:[42, 14, 31, 33], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [42, 14, 2] Generated Node #2: [42, 14, 2] from Operation: 33-31=2 Current State: 98:[42, 14, 2], Operations: ['33-31=2'] Exploring Operation: 42*2=84, Resulting Numbers: [14, 84] Generated Node #3: [14, 84] from Operation: 42*2=84 Current State: 98:[14, 84], Operations: ['33-31=2', '42*2=84'] Exploring Operation: 14+84=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 21, 28, 63, 76 ]
79
[ "21+63=84", "84/28=3", "76+3=79" ]
Current State: 79:[21, 28, 63, 76], Operations: [] Exploring Operation: 21+63=84, Resulting Numbers: [28, 76, 84] Generated Node #2: [28, 76, 84] from Operation: 21+63=84 Current State: 79:[28, 76, 84], Operations: ['21+63=84'] Exploring Operation: 84/28=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 84/28=3 Current State: 79:[76, 3], Operations: ['21+63=84', '84/28=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 1, 85, 73 ]
72
[ "86*1=86", "85+73=158", "158-86=72" ]
Current State: 72:[86, 1, 85, 73], Operations: [] Exploring Operation: 86*1=86, Resulting Numbers: [85, 73, 86] Generated Node #2: [85, 73, 86] from Operation: 86*1=86 Current State: 72:[85, 73, 86], Operations: ['86*1=86'] Exploring Operation: 85+73=158, Resulting Numbers: [86, 158] Generated Node #3: [86, 158] from Operation: 85+73=158 Current State: 72:[86, 158], Operations: ['86*1=86', '85+73=158'] Exploring Operation: 158-86=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 24, 20, 45, 27 ]
72
[ "24-20=4", "45-27=18", "4*18=72" ]
Current State: 72:[24, 20, 45, 27], Operations: [] Exploring Operation: 24-20=4, Resulting Numbers: [45, 27, 4] Generated Node #2: [45, 27, 4] from Operation: 24-20=4 Current State: 72:[45, 27, 4], Operations: ['24-20=4'] Exploring Operation: 45-27=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 45-27=18 Current State: 72:[4, 18], Operations: ['24-20=4', '45-27=18'] Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 78, 63, 89, 72 ]
20
[ "78+63=141", "89+72=161", "161-141=20" ]
Current State: 20:[78, 63, 89, 72], Operations: [] Exploring Operation: 78+63=141, Resulting Numbers: [89, 72, 141] Generated Node #2: [89, 72, 141] from Operation: 78+63=141 Current State: 20:[89, 72, 141], Operations: ['78+63=141'] Exploring Operation: 89+72=161, Resulting Numbers: [141, 161] Generated Node #3: [141, 161] from Operation: 89+72=161 Current State: 20:[141, 161], Operations: ['78+63=141', '89+72=161'] Exploring Operation: 161-141=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 98, 96, 3, 60 ]
86
[ "96-60=36", "36/3=12", "98-12=86" ]
Current State: 86:[98, 96, 3, 60], Operations: [] Exploring Operation: 96-60=36, Resulting Numbers: [98, 3, 36] Generated Node #2: [98, 3, 36] from Operation: 96-60=36 Current State: 86:[98, 3, 36], Operations: ['96-60=36'] Exploring Operation: 36/3=12, Resulting Numbers: [98, 12] Generated Node #3: [98, 12] from Operation: 36/3=12 Current State: 86:[98, 12], Operations: ['96-60=36', '36/3=12'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 7, 14, 22, 13 ]
77
[ "22-13=9", "7*9=63", "14+63=77" ]
Current State: 77:[7, 14, 22, 13], Operations: [] Exploring Operation: 22-13=9, Resulting Numbers: [7, 14, 9] Generated Node #2: [7, 14, 9] from Operation: 22-13=9 Current State: 77:[7, 14, 9], Operations: ['22-13=9'] Exploring Operation: 7*9=63, Resulting Numbers: [14, 63] Generated Node #3: [14, 63] from Operation: 7*9=63 Current State: 77:[14, 63], Operations: ['22-13=9', '7*9=63'] Exploring Operation: 14+63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 79, 23, 56, 89 ]
89
[ "79-23=56", "56+89=145", "145-56=89" ]
Current State: 89:[79, 23, 56, 89], Operations: [] Exploring Operation: 79-23=56, Resulting Numbers: [56, 89, 56] Generated Node #2: [56, 89, 56] from Operation: 79-23=56 Current State: 89:[56, 89, 56], Operations: ['79-23=56'] Exploring Operation: 56+89=145, Resulting Numbers: [145] 145,89 equal: Goal Reached Exploring Operation: 145-56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 6, 33, 56, 66 ]
52
[ "56-6=50", "66/33=2", "50+2=52" ]
Current State: 52:[6, 33, 56, 66], Operations: [] Exploring Operation: 56-6=50, Resulting Numbers: [33, 66, 50] Generated Node #2: [33, 66, 50] from Operation: 56-6=50 Current State: 52:[33, 66, 50], Operations: ['56-6=50'] Exploring Operation: 66/33=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 66/33=2 Current State: 52:[50, 2], Operations: ['56-6=50', '66/33=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 58, 28, 72 ]
57
[ "58-28=30", "30/2=15", "72-15=57" ]
Current State: 57:[2, 58, 28, 72], Operations: [] Exploring Operation: 58-28=30, Resulting Numbers: [2, 72, 30] Generated Node #2: [2, 72, 30] from Operation: 58-28=30 Current State: 57:[2, 72, 30], Operations: ['58-28=30'] Exploring Operation: 30/2=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 30/2=15 Current State: 57:[72, 15], Operations: ['58-28=30', '30/2=15'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 95, 62, 90 ]
35
[ "90-62=28", "95*28=2660", "2660/76=35" ]
Current State: 35:[76, 95, 62, 90], Operations: [] Exploring Operation: 90-62=28, Resulting Numbers: [76, 95, 28] Generated Node #2: [76, 95, 28] from Operation: 90-62=28 Current State: 35:[76, 95, 28], Operations: ['90-62=28'] Exploring Operation: 95*28=2660, Resulting Numbers: [76, 2660] Generated Node #3: [76, 2660] from Operation: 95*28=2660 Current State: 35:[76, 2660], Operations: ['90-62=28', '95*28=2660'] Exploring Operation: 2660/76=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 96, 1, 41, 49 ]
11
[ "49-41=8", "96/8=12", "12-1=11" ]
Current State: 11:[96, 1, 41, 49], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [96, 1, 8] Generated Node #2: [96, 1, 8] from Operation: 49-41=8 Current State: 11:[96, 1, 8], Operations: ['49-41=8'] Exploring Operation: 96/8=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 96/8=12 Current State: 11:[1, 12], Operations: ['49-41=8', '96/8=12'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 32, 29, 71, 10 ]
84
[ "32-29=3", "71+10=81", "3+81=84" ]
Current State: 84:[32, 29, 71, 10], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [71, 10, 3] Generated Node #2: [71, 10, 3] from Operation: 32-29=3 Current State: 84:[71, 10, 3], Operations: ['32-29=3'] Exploring Operation: 71+10=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 71+10=81 Current State: 84:[3, 81], Operations: ['32-29=3', '71+10=81'] Exploring Operation: 3+81=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 40, 43, 81, 7 ]
20
[ "43-40=3", "81/3=27", "27-7=20" ]
Current State: 20:[40, 43, 81, 7], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [81, 7, 3] Generated Node #2: [81, 7, 3] from Operation: 43-40=3 Current State: 20:[81, 7, 3], Operations: ['43-40=3'] Exploring Operation: 81/3=27, Resulting Numbers: [7, 27] Generated Node #3: [7, 27] from Operation: 81/3=27 Current State: 20:[7, 27], Operations: ['43-40=3', '81/3=27'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 62, 47, 96, 79 ]
66
[ "62+47=109", "96+79=175", "175-109=66" ]
Current State: 66:[62, 47, 96, 79], Operations: [] Exploring Operation: 62+47=109, Resulting Numbers: [96, 79, 109] Generated Node #2: [96, 79, 109] from Operation: 62+47=109 Current State: 66:[96, 79, 109], Operations: ['62+47=109'] Exploring Operation: 96+79=175, Resulting Numbers: [109, 175] Generated Node #3: [109, 175] from Operation: 96+79=175 Current State: 66:[109, 175], Operations: ['62+47=109', '96+79=175'] Exploring Operation: 175-109=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 83, 52, 69, 27 ]
11
[ "83-52=31", "69-27=42", "42-31=11" ]
Current State: 11:[83, 52, 69, 27], Operations: [] Exploring Operation: 83-52=31, Resulting Numbers: [69, 27, 31] Generated Node #2: [69, 27, 31] from Operation: 83-52=31 Current State: 11:[69, 27, 31], Operations: ['83-52=31'] Exploring Operation: 69-27=42, Resulting Numbers: [31, 42] Generated Node #3: [31, 42] from Operation: 69-27=42 Current State: 11:[31, 42], Operations: ['83-52=31', '69-27=42'] Exploring Operation: 42-31=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 29, 61, 57, 6 ]
72
[ "29+61=90", "90/6=15", "57+15=72" ]
Current State: 72:[29, 61, 57, 6], Operations: [] Exploring Operation: 29+61=90, Resulting Numbers: [57, 6, 90] Generated Node #2: [57, 6, 90] from Operation: 29+61=90 Current State: 72:[57, 6, 90], Operations: ['29+61=90'] Exploring Operation: 90/6=15, Resulting Numbers: [57, 15] Generated Node #3: [57, 15] from Operation: 90/6=15 Current State: 72:[57, 15], Operations: ['29+61=90', '90/6=15'] Exploring Operation: 57+15=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 47, 55, 65, 36 ]
70
[ "47*55=2585", "2585-65=2520", "2520/36=70" ]
Current State: 70:[47, 55, 65, 36], Operations: [] Exploring Operation: 47*55=2585, Resulting Numbers: [65, 36, 2585] Generated Node #2: [65, 36, 2585] from Operation: 47*55=2585 Current State: 70:[65, 36, 2585], Operations: ['47*55=2585'] Exploring Operation: 2585-65=2520, Resulting Numbers: [36, 2520] Generated Node #3: [36, 2520] from Operation: 2585-65=2520 Current State: 70:[36, 2520], Operations: ['47*55=2585', '2585-65=2520'] Exploring Operation: 2520/36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 67, 53, 12, 57 ]
31
[ "67-53=14", "57-12=45", "45-14=31" ]
Current State: 31:[67, 53, 12, 57], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [12, 57, 14] Generated Node #2: [12, 57, 14] from Operation: 67-53=14 Current State: 31:[12, 57, 14], Operations: ['67-53=14'] Exploring Operation: 57-12=45, Resulting Numbers: [14, 45] Generated Node #3: [14, 45] from Operation: 57-12=45 Current State: 31:[14, 45], Operations: ['67-53=14', '57-12=45'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 96, 23, 66, 32 ]
96
[ "96*23=2208", "66*32=2112", "2208-2112=96" ]
Current State: 96:[96, 23, 66, 32], Operations: [] Exploring Operation: 96*23=2208, Resulting Numbers: [66, 32, 2208] Generated Node #2: [66, 32, 2208] from Operation: 96*23=2208 Current State: 96:[66, 32, 2208], Operations: ['96*23=2208'] Exploring Operation: 66*32=2112, Resulting Numbers: [2208, 2112] Generated Node #3: [2208, 2112] from Operation: 66*32=2112 Current State: 96:[2208, 2112], Operations: ['96*23=2208', '66*32=2112'] Exploring Operation: 2208-2112=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 24, 99, 16, 97 ]
56
[ "99-97=2", "16*2=32", "24+32=56" ]
Current State: 56:[24, 99, 16, 97], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [24, 16, 2] Generated Node #2: [24, 16, 2] from Operation: 99-97=2 Current State: 56:[24, 16, 2], Operations: ['99-97=2'] Exploring Operation: 16*2=32, Resulting Numbers: [24, 32] Generated Node #3: [24, 32] from Operation: 16*2=32 Current State: 56:[24, 32], Operations: ['99-97=2', '16*2=32'] Exploring Operation: 24+32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 23, 98, 84 ]
14
[ "4*23=92", "98-92=6", "84/6=14" ]
Current State: 14:[4, 23, 98, 84], Operations: [] Exploring Operation: 4*23=92, Resulting Numbers: [98, 84, 92] Generated Node #2: [98, 84, 92] from Operation: 4*23=92 Current State: 14:[98, 84, 92], Operations: ['4*23=92'] Exploring Operation: 98-92=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 98-92=6 Current State: 14:[84, 6], Operations: ['4*23=92', '98-92=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 8, 15, 82 ]
81
[ "6+8=14", "82-15=67", "14+67=81" ]
Current State: 81:[6, 8, 15, 82], Operations: [] Exploring Operation: 6+8=14, Resulting Numbers: [15, 82, 14] Generated Node #2: [15, 82, 14] from Operation: 6+8=14 Current State: 81:[15, 82, 14], Operations: ['6+8=14'] Exploring Operation: 82-15=67, Resulting Numbers: [14, 67] Generated Node #3: [14, 67] from Operation: 82-15=67 Current State: 81:[14, 67], Operations: ['6+8=14', '82-15=67'] Exploring Operation: 14+67=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 18, 10, 16, 23 ]
88
[ "23-16=7", "10*7=70", "18+70=88" ]
Current State: 88:[18, 10, 16, 23], Operations: [] Exploring Operation: 23-16=7, Resulting Numbers: [18, 10, 7] Generated Node #2: [18, 10, 7] from Operation: 23-16=7 Current State: 88:[18, 10, 7], Operations: ['23-16=7'] Exploring Operation: 10*7=70, Resulting Numbers: [18, 70] Generated Node #3: [18, 70] from Operation: 10*7=70 Current State: 88:[18, 70], Operations: ['23-16=7', '10*7=70'] Exploring Operation: 18+70=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 38, 4, 52, 26 ]
29
[ "38+52=90", "26+90=116", "116/4=29" ]
Current State: 29:[38, 4, 52, 26], Operations: [] Exploring Operation: 38+52=90, Resulting Numbers: [4, 26, 90] Generated Node #2: [4, 26, 90] from Operation: 38+52=90 Current State: 29:[4, 26, 90], Operations: ['38+52=90'] Exploring Operation: 26+90=116, Resulting Numbers: [4, 116] Generated Node #3: [4, 116] from Operation: 26+90=116 Current State: 29:[4, 116], Operations: ['38+52=90', '26+90=116'] Exploring Operation: 116/4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 2, 37, 71, 92 ]
62
[ "92/2=46", "37+71=108", "108-46=62" ]
Current State: 62:[2, 37, 71, 92], Operations: [] Exploring Operation: 92/2=46, Resulting Numbers: [37, 71, 46] Generated Node #2: [37, 71, 46] from Operation: 92/2=46 Current State: 62:[37, 71, 46], Operations: ['92/2=46'] Exploring Operation: 37+71=108, Resulting Numbers: [46, 108] Generated Node #3: [46, 108] from Operation: 37+71=108 Current State: 62:[46, 108], Operations: ['92/2=46', '37+71=108'] Exploring Operation: 108-46=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 84, 26, 64, 62 ]
39
[ "64+62=126", "26*126=3276", "3276/84=39" ]
Current State: 39:[84, 26, 64, 62], Operations: [] Exploring Operation: 64+62=126, Resulting Numbers: [84, 26, 126] Generated Node #2: [84, 26, 126] from Operation: 64+62=126 Current State: 39:[84, 26, 126], Operations: ['64+62=126'] Exploring Operation: 26*126=3276, Resulting Numbers: [84, 3276] Generated Node #3: [84, 3276] from Operation: 26*126=3276 Current State: 39:[84, 3276], Operations: ['64+62=126', '26*126=3276'] Exploring Operation: 3276/84=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 9, 64, 39, 50 ]
44
[ "64-9=55", "50-39=11", "55-11=44" ]
Current State: 44:[9, 64, 39, 50], Operations: [] Exploring Operation: 64-9=55, Resulting Numbers: [39, 50, 55] Generated Node #2: [39, 50, 55] from Operation: 64-9=55 Current State: 44:[39, 50, 55], Operations: ['64-9=55'] Exploring Operation: 50-39=11, Resulting Numbers: [55, 11] Generated Node #3: [55, 11] from Operation: 50-39=11 Current State: 44:[55, 11], Operations: ['64-9=55', '50-39=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 57, 99, 92, 14 ]
55
[ "99-92=7", "14/7=2", "57-2=55" ]
Current State: 55:[57, 99, 92, 14], Operations: [] Exploring Operation: 99-92=7, Resulting Numbers: [57, 14, 7] Generated Node #2: [57, 14, 7] from Operation: 99-92=7 Current State: 55:[57, 14, 7], Operations: ['99-92=7'] Exploring Operation: 14/7=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 14/7=2 Current State: 55:[57, 2], Operations: ['99-92=7', '14/7=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 84, 2, 41, 38 ]
38
[ "84/2=42", "42-41=1", "38*1=38" ]
Current State: 38:[84, 2, 41, 38], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [41, 38, 42] Generated Node #2: [41, 38, 42] from Operation: 84/2=42 Current State: 38:[41, 38, 42], Operations: ['84/2=42'] Exploring Operation: 42-41=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 42-41=1 Current State: 38:[38, 1], Operations: ['84/2=42', '42-41=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 85, 20, 2 ]
77
[ "2+85=87", "20/2=10", "87-10=77" ]
Current State: 77:[2, 85, 20, 2], Operations: [] Exploring Operation: 2+85=87, Resulting Numbers: [20, 87] Generated Node #2: [20, 87] from Operation: 2+85=87 Current State: 77:[20, 87], Operations: ['2+85=87'] Exploring Operation: 20/2=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 20/2=10 Current State: 77:[87, 10], Operations: ['2+85=87', '20/2=10'] Exploring Operation: 87-10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 37, 21, 51, 7 ]
85
[ "37+51=88", "21/7=3", "88-3=85" ]
Current State: 85:[37, 21, 51, 7], Operations: [] Exploring Operation: 37+51=88, Resulting Numbers: [21, 7, 88] Generated Node #2: [21, 7, 88] from Operation: 37+51=88 Current State: 85:[21, 7, 88], Operations: ['37+51=88'] Exploring Operation: 21/7=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 21/7=3 Current State: 85:[88, 3], Operations: ['37+51=88', '21/7=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 73, 24, 63, 27 ]
61
[ "73+24=97", "63-27=36", "97-36=61" ]
Current State: 61:[73, 24, 63, 27], Operations: [] Exploring Operation: 73+24=97, Resulting Numbers: [63, 27, 97] Generated Node #2: [63, 27, 97] from Operation: 73+24=97 Current State: 61:[63, 27, 97], Operations: ['73+24=97'] Exploring Operation: 63-27=36, Resulting Numbers: [97, 36] Generated Node #3: [97, 36] from Operation: 63-27=36 Current State: 61:[97, 36], Operations: ['73+24=97', '63-27=36'] Exploring Operation: 97-36=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 81, 83, 51, 36 ]
13
[ "83-81=2", "51-36=15", "15-2=13" ]
Current State: 13:[81, 83, 51, 36], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [51, 36, 2] Generated Node #2: [51, 36, 2] from Operation: 83-81=2 Current State: 13:[51, 36, 2], Operations: ['83-81=2'] Exploring Operation: 51-36=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 51-36=15 Current State: 13:[2, 15], Operations: ['83-81=2', '51-36=15'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 59, 59, 61, 96 ]
22
[ "61-59=2", "59*2=118", "118-96=22" ]
Current State: 22:[59, 59, 61, 96], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [96, 2] Generated Node #2: [96, 2] from Operation: 61-59=2 Current State: 22:[96, 2], Operations: ['61-59=2'] Exploring Operation: 59*2=118, Resulting Numbers: [96, 118] Generated Node #3: [96, 118] from Operation: 59*2=118 Current State: 22:[96, 118], Operations: ['61-59=2', '59*2=118'] Exploring Operation: 118-96=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 49, 47, 24, 77 ]
65
[ "49-47=2", "24/2=12", "77-12=65" ]
Current State: 65:[49, 47, 24, 77], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [24, 77, 2] Generated Node #2: [24, 77, 2] from Operation: 49-47=2 Current State: 65:[24, 77, 2], Operations: ['49-47=2'] Exploring Operation: 24/2=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 24/2=12 Current State: 65:[77, 12], Operations: ['49-47=2', '24/2=12'] Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 21, 12, 45 ]
27
[ "21-12=9", "8*9=72", "72-45=27" ]
Current State: 27:[8, 21, 12, 45], Operations: [] Exploring Operation: 21-12=9, Resulting Numbers: [8, 45, 9] Generated Node #2: [8, 45, 9] from Operation: 21-12=9 Current State: 27:[8, 45, 9], Operations: ['21-12=9'] Exploring Operation: 8*9=72, Resulting Numbers: [45, 72] Generated Node #3: [45, 72] from Operation: 8*9=72 Current State: 27:[45, 72], Operations: ['21-12=9', '8*9=72'] Exploring Operation: 72-45=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 15, 50, 58, 17 ]
10
[ "15+50=65", "58+17=75", "75-65=10" ]
Current State: 10:[15, 50, 58, 17], Operations: [] Exploring Operation: 15+50=65, Resulting Numbers: [58, 17, 65] Generated Node #2: [58, 17, 65] from Operation: 15+50=65 Current State: 10:[58, 17, 65], Operations: ['15+50=65'] Exploring Operation: 58+17=75, Resulting Numbers: [65, 75] Generated Node #3: [65, 75] from Operation: 58+17=75 Current State: 10:[65, 75], Operations: ['15+50=65', '58+17=75'] Exploring Operation: 75-65=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 11, 40, 22 ]
10
[ "11*40=440", "440/22=20", "20-10=10" ]
Current State: 10:[10, 11, 40, 22], Operations: [] Exploring Operation: 11*40=440, Resulting Numbers: [10, 22, 440] Generated Node #2: [10, 22, 440] from Operation: 11*40=440 Current State: 10:[10, 22, 440], Operations: ['11*40=440'] Exploring Operation: 440/22=20, Resulting Numbers: [10, 20] Generated Node #3: [10, 20] from Operation: 440/22=20 Current State: 10:[10, 20], Operations: ['11*40=440', '440/22=20'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 81, 35, 12, 19 ]
53
[ "81-35=46", "19-12=7", "46+7=53" ]
Current State: 53:[81, 35, 12, 19], Operations: [] Exploring Operation: 81-35=46, Resulting Numbers: [12, 19, 46] Generated Node #2: [12, 19, 46] from Operation: 81-35=46 Current State: 53:[12, 19, 46], Operations: ['81-35=46'] Exploring Operation: 19-12=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 19-12=7 Current State: 53:[46, 7], Operations: ['81-35=46', '19-12=7'] Exploring Operation: 46+7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 5, 66, 17, 33 ]
99
[ "5+17=22", "66*33=2178", "2178/22=99" ]
Current State: 99:[5, 66, 17, 33], Operations: [] Exploring Operation: 5+17=22, Resulting Numbers: [66, 33, 22] Generated Node #2: [66, 33, 22] from Operation: 5+17=22 Current State: 99:[66, 33, 22], Operations: ['5+17=22'] Exploring Operation: 66*33=2178, Resulting Numbers: [22, 2178] Generated Node #3: [22, 2178] from Operation: 66*33=2178 Current State: 99:[22, 2178], Operations: ['5+17=22', '66*33=2178'] Exploring Operation: 2178/22=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 31, 26, 27, 29 ]
90
[ "31-27=4", "29*4=116", "116-26=90" ]
Current State: 90:[31, 26, 27, 29], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [26, 29, 4] Generated Node #2: [26, 29, 4] from Operation: 31-27=4 Current State: 90:[26, 29, 4], Operations: ['31-27=4'] Exploring Operation: 29*4=116, Resulting Numbers: [26, 116] Generated Node #3: [26, 116] from Operation: 29*4=116 Current State: 90:[26, 116], Operations: ['31-27=4', '29*4=116'] Exploring Operation: 116-26=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 91, 81, 80, 7 ]
85
[ "91+81=172", "80+7=87", "172-87=85" ]
Current State: 85:[91, 81, 80, 7], Operations: [] Exploring Operation: 91+81=172, Resulting Numbers: [80, 7, 172] Generated Node #2: [80, 7, 172] from Operation: 91+81=172 Current State: 85:[80, 7, 172], Operations: ['91+81=172'] Exploring Operation: 80+7=87, Resulting Numbers: [172, 87] Generated Node #3: [172, 87] from Operation: 80+7=87 Current State: 85:[172, 87], Operations: ['91+81=172', '80+7=87'] Exploring Operation: 172-87=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 6, 20, 30 ]
18
[ "13+20=33", "33-30=3", "6*3=18" ]
Current State: 18:[13, 6, 20, 30], Operations: [] Exploring Operation: 13+20=33, Resulting Numbers: [6, 30, 33] Generated Node #2: [6, 30, 33] from Operation: 13+20=33 Current State: 18:[6, 30, 33], Operations: ['13+20=33'] Exploring Operation: 33-30=3, Resulting Numbers: [6, 3] Generated Node #3: [6, 3] from Operation: 33-30=3 Current State: 18:[6, 3], Operations: ['13+20=33', '33-30=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 48, 8, 65, 73 ]
32
[ "48-8=40", "73-65=8", "40-8=32" ]
Current State: 32:[48, 8, 65, 73], Operations: [] Exploring Operation: 48-8=40, Resulting Numbers: [65, 73, 40] Generated Node #2: [65, 73, 40] from Operation: 48-8=40 Current State: 32:[65, 73, 40], Operations: ['48-8=40'] Exploring Operation: 73-65=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 73-65=8 Current State: 32:[40, 8], Operations: ['48-8=40', '73-65=8'] Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 9, 4, 48, 49 ]
43
[ "49-4=45", "45/9=5", "48-5=43" ]
Current State: 43:[9, 4, 48, 49], Operations: [] Exploring Operation: 49-4=45, Resulting Numbers: [9, 48, 45] Generated Node #2: [9, 48, 45] from Operation: 49-4=45 Current State: 43:[9, 48, 45], Operations: ['49-4=45'] Exploring Operation: 45/9=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 45/9=5 Current State: 43:[48, 5], Operations: ['49-4=45', '45/9=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 96, 21, 48 ]
98
[ "3+21=24", "48/24=2", "96+2=98" ]
Current State: 98:[3, 96, 21, 48], Operations: [] Exploring Operation: 3+21=24, Resulting Numbers: [96, 48, 24] Generated Node #2: [96, 48, 24] from Operation: 3+21=24 Current State: 98:[96, 48, 24], Operations: ['3+21=24'] Exploring Operation: 48/24=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 48/24=2 Current State: 98:[96, 2], Operations: ['3+21=24', '48/24=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 73, 37, 44, 15 ]
74
[ "73+15=88", "37*88=3256", "3256/44=74" ]
Current State: 74:[73, 37, 44, 15], Operations: [] Exploring Operation: 73+15=88, Resulting Numbers: [37, 44, 88] Generated Node #2: [37, 44, 88] from Operation: 73+15=88 Current State: 74:[37, 44, 88], Operations: ['73+15=88'] Exploring Operation: 37*88=3256, Resulting Numbers: [44, 3256] Generated Node #3: [44, 3256] from Operation: 37*88=3256 Current State: 74:[44, 3256], Operations: ['73+15=88', '37*88=3256'] Exploring Operation: 3256/44=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 93, 52, 63, 84 ]
28
[ "93+63=156", "52*84=4368", "4368/156=28" ]
Current State: 28:[93, 52, 63, 84], Operations: [] Exploring Operation: 93+63=156, Resulting Numbers: [52, 84, 156] Generated Node #2: [52, 84, 156] from Operation: 93+63=156 Current State: 28:[52, 84, 156], Operations: ['93+63=156'] Exploring Operation: 52*84=4368, Resulting Numbers: [156, 4368] Generated Node #3: [156, 4368] from Operation: 52*84=4368 Current State: 28:[156, 4368], Operations: ['93+63=156', '52*84=4368'] Exploring Operation: 4368/156=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 63, 67, 62, 43 ]
66
[ "67+62=129", "129/43=3", "63+3=66" ]
Current State: 66:[63, 67, 62, 43], Operations: [] Exploring Operation: 67+62=129, Resulting Numbers: [63, 43, 129] Generated Node #2: [63, 43, 129] from Operation: 67+62=129 Current State: 66:[63, 43, 129], Operations: ['67+62=129'] Exploring Operation: 129/43=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 129/43=3 Current State: 66:[63, 3], Operations: ['67+62=129', '129/43=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 1, 58, 47, 78 ]
88
[ "58-1=57", "78-47=31", "57+31=88" ]
Current State: 88:[1, 58, 47, 78], Operations: [] Exploring Operation: 58-1=57, Resulting Numbers: [47, 78, 57] Generated Node #2: [47, 78, 57] from Operation: 58-1=57 Current State: 88:[47, 78, 57], Operations: ['58-1=57'] Exploring Operation: 78-47=31, Resulting Numbers: [57, 31] Generated Node #3: [57, 31] from Operation: 78-47=31 Current State: 88:[57, 31], Operations: ['58-1=57', '78-47=31'] Exploring Operation: 57+31=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 41, 1, 68, 57 ]
51
[ "41-1=40", "68-57=11", "40+11=51" ]
Current State: 51:[41, 1, 68, 57], Operations: [] Exploring Operation: 41-1=40, Resulting Numbers: [68, 57, 40] Generated Node #2: [68, 57, 40] from Operation: 41-1=40 Current State: 51:[68, 57, 40], Operations: ['41-1=40'] Exploring Operation: 68-57=11, Resulting Numbers: [40, 11] Generated Node #3: [40, 11] from Operation: 68-57=11 Current State: 51:[40, 11], Operations: ['41-1=40', '68-57=11'] Exploring Operation: 40+11=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 17, 30, 82, 96 ]
90
[ "17+82=99", "99-96=3", "30*3=90" ]
Current State: 90:[17, 30, 82, 96], Operations: [] Exploring Operation: 17+82=99, Resulting Numbers: [30, 96, 99] Generated Node #2: [30, 96, 99] from Operation: 17+82=99 Current State: 90:[30, 96, 99], Operations: ['17+82=99'] Exploring Operation: 99-96=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 99-96=3 Current State: 90:[30, 3], Operations: ['17+82=99', '99-96=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 56, 70, 4, 57 ]
75
[ "70-56=14", "4+57=61", "14+61=75" ]
Current State: 75:[56, 70, 4, 57], Operations: [] Exploring Operation: 70-56=14, Resulting Numbers: [4, 57, 14] Generated Node #2: [4, 57, 14] from Operation: 70-56=14 Current State: 75:[4, 57, 14], Operations: ['70-56=14'] Exploring Operation: 4+57=61, Resulting Numbers: [14, 61] Generated Node #3: [14, 61] from Operation: 4+57=61 Current State: 75:[14, 61], Operations: ['70-56=14', '4+57=61'] Exploring Operation: 14+61=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 96, 34, 25, 94 ]
42
[ "96-94=2", "34/2=17", "25+17=42" ]
Current State: 42:[96, 34, 25, 94], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [34, 25, 2] Generated Node #2: [34, 25, 2] from Operation: 96-94=2 Current State: 42:[34, 25, 2], Operations: ['96-94=2'] Exploring Operation: 34/2=17, Resulting Numbers: [25, 17] Generated Node #3: [25, 17] from Operation: 34/2=17 Current State: 42:[25, 17], Operations: ['96-94=2', '34/2=17'] Exploring Operation: 25+17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 49, 2, 30, 84 ]
22
[ "84-30=54", "54/2=27", "49-27=22" ]
Current State: 22:[49, 2, 30, 84], Operations: [] Exploring Operation: 84-30=54, Resulting Numbers: [49, 2, 54] Generated Node #2: [49, 2, 54] from Operation: 84-30=54 Current State: 22:[49, 2, 54], Operations: ['84-30=54'] Exploring Operation: 54/2=27, Resulting Numbers: [49, 27] Generated Node #3: [49, 27] from Operation: 54/2=27 Current State: 22:[49, 27], Operations: ['84-30=54', '54/2=27'] Exploring Operation: 49-27=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 90, 23, 14 ]
71
[ "3*14=42", "90+23=113", "113-42=71" ]
Current State: 71:[3, 90, 23, 14], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [90, 23, 42] Generated Node #2: [90, 23, 42] from Operation: 3*14=42 Current State: 71:[90, 23, 42], Operations: ['3*14=42'] Exploring Operation: 90+23=113, Resulting Numbers: [42, 113] Generated Node #3: [42, 113] from Operation: 90+23=113 Current State: 71:[42, 113], Operations: ['3*14=42', '90+23=113'] Exploring Operation: 113-42=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 63, 46, 26, 51 ]
78
[ "63-46=17", "26*51=1326", "1326/17=78" ]
Current State: 78:[63, 46, 26, 51], Operations: [] Exploring Operation: 63-46=17, Resulting Numbers: [26, 51, 17] Generated Node #2: [26, 51, 17] from Operation: 63-46=17 Current State: 78:[26, 51, 17], Operations: ['63-46=17'] Exploring Operation: 26*51=1326, Resulting Numbers: [17, 1326] Generated Node #3: [17, 1326] from Operation: 26*51=1326 Current State: 78:[17, 1326], Operations: ['63-46=17', '26*51=1326'] Exploring Operation: 1326/17=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 33, 78, 84, 14 ]
41
[ "33+78=111", "84-14=70", "111-70=41" ]
Current State: 41:[33, 78, 84, 14], Operations: [] Exploring Operation: 33+78=111, Resulting Numbers: [84, 14, 111] Generated Node #2: [84, 14, 111] from Operation: 33+78=111 Current State: 41:[84, 14, 111], Operations: ['33+78=111'] Exploring Operation: 84-14=70, Resulting Numbers: [111, 70] Generated Node #3: [111, 70] from Operation: 84-14=70 Current State: 41:[111, 70], Operations: ['33+78=111', '84-14=70'] Exploring Operation: 111-70=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 34, 32, 32, 16 ]
33
[ "34+32=66", "32/16=2", "66/2=33" ]
Current State: 33:[34, 32, 32, 16], Operations: [] Exploring Operation: 34+32=66, Resulting Numbers: [16, 66] Generated Node #2: [16, 66] from Operation: 34+32=66 Current State: 33:[16, 66], Operations: ['34+32=66'] Exploring Operation: 32/16=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 32/16=2 Current State: 33:[66, 2], Operations: ['34+32=66', '32/16=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 14, 54, 62, 29 ]
73
[ "54-14=40", "62-29=33", "40+33=73" ]
Current State: 73:[14, 54, 62, 29], Operations: [] Exploring Operation: 54-14=40, Resulting Numbers: [62, 29, 40] Generated Node #2: [62, 29, 40] from Operation: 54-14=40 Current State: 73:[62, 29, 40], Operations: ['54-14=40'] Exploring Operation: 62-29=33, Resulting Numbers: [40, 33] Generated Node #3: [40, 33] from Operation: 62-29=33 Current State: 73:[40, 33], Operations: ['54-14=40', '62-29=33'] Exploring Operation: 40+33=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 37, 25, 87 ]
100
[ "2*25=50", "87-37=50", "50+50=100" ]
Current State: 100:[2, 37, 25, 87], Operations: [] Exploring Operation: 2*25=50, Resulting Numbers: [37, 87, 50] Generated Node #2: [37, 87, 50] from Operation: 2*25=50 Current State: 100:[37, 87, 50], Operations: ['2*25=50'] Exploring Operation: 87-37=50, Resulting Numbers: [50, 50] Generated Node #3: [50, 50] from Operation: 87-37=50 Current State: 100:[50, 50], Operations: ['2*25=50', '87-37=50'] Exploring Operation: 50+50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 38, 3, 51, 31 ]
54
[ "51-38=13", "31-13=18", "3*18=54" ]
Current State: 54:[38, 3, 51, 31], Operations: [] Exploring Operation: 51-38=13, Resulting Numbers: [3, 31, 13] Generated Node #2: [3, 31, 13] from Operation: 51-38=13 Current State: 54:[3, 31, 13], Operations: ['51-38=13'] Exploring Operation: 31-13=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 31-13=18 Current State: 54:[3, 18], Operations: ['51-38=13', '31-13=18'] Exploring Operation: 3*18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 13, 16, 65 ]
80
[ "44-13=31", "65-16=49", "31+49=80" ]
Current State: 80:[44, 13, 16, 65], Operations: [] Exploring Operation: 44-13=31, Resulting Numbers: [16, 65, 31] Generated Node #2: [16, 65, 31] from Operation: 44-13=31 Current State: 80:[16, 65, 31], Operations: ['44-13=31'] Exploring Operation: 65-16=49, Resulting Numbers: [31, 49] Generated Node #3: [31, 49] from Operation: 65-16=49 Current State: 80:[31, 49], Operations: ['44-13=31', '65-16=49'] Exploring Operation: 31+49=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 19, 26, 35, 88 ]
83
[ "26-19=7", "35/7=5", "88-5=83" ]
Current State: 83:[19, 26, 35, 88], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [35, 88, 7] Generated Node #2: [35, 88, 7] from Operation: 26-19=7 Current State: 83:[35, 88, 7], Operations: ['26-19=7'] Exploring Operation: 35/7=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 35/7=5 Current State: 83:[88, 5], Operations: ['26-19=7', '35/7=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 75, 17, 32 ]
77
[ "75-13=62", "32-17=15", "62+15=77" ]
Current State: 77:[13, 75, 17, 32], Operations: [] Exploring Operation: 75-13=62, Resulting Numbers: [17, 32, 62] Generated Node #2: [17, 32, 62] from Operation: 75-13=62 Current State: 77:[17, 32, 62], Operations: ['75-13=62'] Exploring Operation: 32-17=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 32-17=15 Current State: 77:[62, 15], Operations: ['75-13=62', '32-17=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 56, 6, 71, 58 ]
67
[ "56+6=62", "71+58=129", "129-62=67" ]
Current State: 67:[56, 6, 71, 58], Operations: [] Exploring Operation: 56+6=62, Resulting Numbers: [71, 58, 62] Generated Node #2: [71, 58, 62] from Operation: 56+6=62 Current State: 67:[71, 58, 62], Operations: ['56+6=62'] Exploring Operation: 71+58=129, Resulting Numbers: [62, 129] Generated Node #3: [62, 129] from Operation: 71+58=129 Current State: 67:[62, 129], Operations: ['56+6=62', '71+58=129'] Exploring Operation: 129-62=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 70, 99, 97, 5 ]
10
[ "99-97=2", "5+2=7", "70/7=10" ]
Current State: 10:[70, 99, 97, 5], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [70, 5, 2] Generated Node #2: [70, 5, 2] from Operation: 99-97=2 Current State: 10:[70, 5, 2], Operations: ['99-97=2'] Exploring Operation: 5+2=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 5+2=7 Current State: 10:[70, 7], Operations: ['99-97=2', '5+2=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 8, 27, 72, 44 ]
25
[ "44-8=36", "72/36=2", "27-2=25" ]
Current State: 25:[8, 27, 72, 44], Operations: [] Exploring Operation: 44-8=36, Resulting Numbers: [27, 72, 36] Generated Node #2: [27, 72, 36] from Operation: 44-8=36 Current State: 25:[27, 72, 36], Operations: ['44-8=36'] Exploring Operation: 72/36=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 72/36=2 Current State: 25:[27, 2], Operations: ['44-8=36', '72/36=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 75, 19, 48, 9 ]
17
[ "75-19=56", "48-9=39", "56-39=17" ]
Current State: 17:[75, 19, 48, 9], Operations: [] Exploring Operation: 75-19=56, Resulting Numbers: [48, 9, 56] Generated Node #2: [48, 9, 56] from Operation: 75-19=56 Current State: 17:[48, 9, 56], Operations: ['75-19=56'] Exploring Operation: 48-9=39, Resulting Numbers: [56, 39] Generated Node #3: [56, 39] from Operation: 48-9=39 Current State: 17:[56, 39], Operations: ['75-19=56', '48-9=39'] Exploring Operation: 56-39=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4