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
[ 31, 37, 61, 72 ]
79
[ "31+37=68", "72-61=11", "68+11=79" ]
Current State: 79:[31, 37, 61, 72], Operations: [] Exploring Operation: 31+37=68, Resulting Numbers: [61, 72, 68] Generated Node #2: [61, 72, 68] from Operation: 31+37=68 Current State: 79:[61, 72, 68], Operations: ['31+37=68'] Exploring Operation: 72-61=11, Resulting Numbers: [68, 11] Generated Node #3: [68, 11] from Operation: 72-61=11 Current State: 79:[68, 11], Operations: ['31+37=68', '72-61=11'] Exploring Operation: 68+11=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 95, 25, 11, 90 ]
30
[ "95-90=5", "11*5=55", "55-25=30" ]
Current State: 30:[95, 25, 11, 90], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [25, 11, 5] Generated Node #2: [25, 11, 5] from Operation: 95-90=5 Current State: 30:[25, 11, 5], Operations: ['95-90=5'] Exploring Operation: 11*5=55, Resulting Numbers: [25, 55] Generated Node #3: [25, 55] from Operation: 11*5=55 Current State: 30:[25, 55], Operations: ['95-90=5', '11*5=55'] Exploring Operation: 55-25=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 31, 10, 3 ]
62
[ "14*31=434", "10-3=7", "434/7=62" ]
Current State: 62:[14, 31, 10, 3], Operations: [] Exploring Operation: 14*31=434, Resulting Numbers: [10, 3, 434] Generated Node #2: [10, 3, 434] from Operation: 14*31=434 Current State: 62:[10, 3, 434], Operations: ['14*31=434'] Exploring Operation: 10-3=7, Resulting Numbers: [434, 7] Generated Node #3: [434, 7] from Operation: 10-3=7 Current State: 62:[434, 7], Operations: ['14*31=434', '10-3=7'] Exploring Operation: 434/7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 20, 12, 9, 99 ]
29
[ "99-20=79", "12*9=108", "108-79=29" ]
Current State: 29:[20, 12, 9, 99], Operations: [] Exploring Operation: 99-20=79, Resulting Numbers: [12, 9, 79] Generated Node #2: [12, 9, 79] from Operation: 99-20=79 Current State: 29:[12, 9, 79], Operations: ['99-20=79'] Exploring Operation: 12*9=108, Resulting Numbers: [79, 108] Generated Node #3: [79, 108] from Operation: 12*9=108 Current State: 29:[79, 108], Operations: ['99-20=79', '12*9=108'] Exploring Operation: 108-79=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 34, 49, 19, 20 ]
14
[ "49-34=15", "20-19=1", "15-1=14" ]
Current State: 14:[34, 49, 19, 20], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [19, 20, 15] Generated Node #2: [19, 20, 15] from Operation: 49-34=15 Current State: 14:[19, 20, 15], Operations: ['49-34=15'] Exploring Operation: 20-19=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 20-19=1 Current State: 14:[15, 1], Operations: ['49-34=15', '20-19=1'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 5, 45, 10, 61 ]
70
[ "10-5=5", "45/5=9", "61+9=70" ]
Current State: 70:[5, 45, 10, 61], Operations: [] Exploring Operation: 10-5=5, Resulting Numbers: [45, 61, 5] Generated Node #2: [45, 61, 5] from Operation: 10-5=5 Current State: 70:[45, 61, 5], Operations: ['10-5=5'] Exploring Operation: 45/5=9, Resulting Numbers: [61, 9] Generated Node #3: [61, 9] from Operation: 45/5=9 Current State: 70:[61, 9], Operations: ['10-5=5', '45/5=9'] Exploring Operation: 61+9=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 67, 69, 45, 71 ]
19
[ "69-67=2", "45*2=90", "90-71=19" ]
Current State: 19:[67, 69, 45, 71], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [45, 71, 2] Generated Node #2: [45, 71, 2] from Operation: 69-67=2 Current State: 19:[45, 71, 2], Operations: ['69-67=2'] Exploring Operation: 45*2=90, Resulting Numbers: [71, 90] Generated Node #3: [71, 90] from Operation: 45*2=90 Current State: 19:[71, 90], Operations: ['69-67=2', '45*2=90'] Exploring Operation: 90-71=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 61, 5, 34 ]
18
[ "61-14=47", "34-5=29", "47-29=18" ]
Current State: 18:[14, 61, 5, 34], Operations: [] Exploring Operation: 61-14=47, Resulting Numbers: [5, 34, 47] Generated Node #2: [5, 34, 47] from Operation: 61-14=47 Current State: 18:[5, 34, 47], Operations: ['61-14=47'] Exploring Operation: 34-5=29, Resulting Numbers: [47, 29] Generated Node #3: [47, 29] from Operation: 34-5=29 Current State: 18:[47, 29], Operations: ['61-14=47', '34-5=29'] Exploring Operation: 47-29=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 84, 24, 24 ]
30
[ "84-80=4", "24/4=6", "24+6=30" ]
Current State: 30:[80, 84, 24, 24], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [24, 24, 4] Generated Node #2: [24, 24, 4] from Operation: 84-80=4 Current State: 30:[24, 24, 4], Operations: ['84-80=4'] Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,30 equal: Goal Reached Exploring Operation: 24+6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 21, 74, 60 ]
49
[ "14+21=35", "74-60=14", "35+14=49" ]
Current State: 49:[14, 21, 74, 60], Operations: [] Exploring Operation: 14+21=35, Resulting Numbers: [74, 60, 35] Generated Node #2: [74, 60, 35] from Operation: 14+21=35 Current State: 49:[74, 60, 35], Operations: ['14+21=35'] Exploring Operation: 74-60=14, Resulting Numbers: [35, 14] Generated Node #3: [35, 14] from Operation: 74-60=14 Current State: 49:[35, 14], Operations: ['14+21=35', '74-60=14'] Exploring Operation: 35+14=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 29, 79, 15 ]
50
[ "15+29=44", "79+15=94", "94-44=50" ]
Current State: 50:[15, 29, 79, 15], Operations: [] Exploring Operation: 15+29=44, Resulting Numbers: [79, 44] Generated Node #2: [79, 44] from Operation: 15+29=44 Current State: 50:[79, 44], Operations: ['15+29=44'] Exploring Operation: 79+15=94, Resulting Numbers: [44, 94] Generated Node #3: [44, 94] from Operation: 79+15=94 Current State: 50:[44, 94], Operations: ['15+29=44', '79+15=94'] Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 13, 20, 67 ]
79
[ "13-5=8", "20+67=87", "87-8=79" ]
Current State: 79:[5, 13, 20, 67], Operations: [] Exploring Operation: 13-5=8, Resulting Numbers: [20, 67, 8] Generated Node #2: [20, 67, 8] from Operation: 13-5=8 Current State: 79:[20, 67, 8], Operations: ['13-5=8'] Exploring Operation: 20+67=87, Resulting Numbers: [8, 87] Generated Node #3: [8, 87] from Operation: 20+67=87 Current State: 79:[8, 87], Operations: ['13-5=8', '20+67=87'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 4, 1, 44, 32 ]
88
[ "1+32=33", "4*33=132", "132-44=88" ]
Current State: 88:[4, 1, 44, 32], Operations: [] Exploring Operation: 1+32=33, Resulting Numbers: [4, 44, 33] Generated Node #2: [4, 44, 33] from Operation: 1+32=33 Current State: 88:[4, 44, 33], Operations: ['1+32=33'] Exploring Operation: 4*33=132, Resulting Numbers: [44, 132] Generated Node #3: [44, 132] from Operation: 4*33=132 Current State: 88:[44, 132], Operations: ['1+32=33', '4*33=132'] Exploring Operation: 132-44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 80, 4, 89, 16 ]
20
[ "89-80=9", "4*9=36", "36-16=20" ]
Current State: 20:[80, 4, 89, 16], Operations: [] Exploring Operation: 89-80=9, Resulting Numbers: [4, 16, 9] Generated Node #2: [4, 16, 9] from Operation: 89-80=9 Current State: 20:[4, 16, 9], Operations: ['89-80=9'] Exploring Operation: 4*9=36, Resulting Numbers: [16, 36] Generated Node #3: [16, 36] from Operation: 4*9=36 Current State: 20:[16, 36], Operations: ['89-80=9', '4*9=36'] Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 41, 26, 63, 59 ]
19
[ "41-26=15", "63-59=4", "15+4=19" ]
Current State: 19:[41, 26, 63, 59], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [63, 59, 15] Generated Node #2: [63, 59, 15] from Operation: 41-26=15 Current State: 19:[63, 59, 15], Operations: ['41-26=15'] Exploring Operation: 63-59=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 63-59=4 Current State: 19:[15, 4], Operations: ['41-26=15', '63-59=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 28, 72, 87, 78 ]
91
[ "28+72=100", "87-78=9", "100-9=91" ]
Current State: 91:[28, 72, 87, 78], Operations: [] Exploring Operation: 28+72=100, Resulting Numbers: [87, 78, 100] Generated Node #2: [87, 78, 100] from Operation: 28+72=100 Current State: 91:[87, 78, 100], Operations: ['28+72=100'] Exploring Operation: 87-78=9, Resulting Numbers: [100, 9] Generated Node #3: [100, 9] from Operation: 87-78=9 Current State: 91:[100, 9], Operations: ['28+72=100', '87-78=9'] Exploring Operation: 100-9=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 9, 5, 2 ]
47
[ "63-9=54", "5+2=7", "54-7=47" ]
Current State: 47:[63, 9, 5, 2], Operations: [] Exploring Operation: 63-9=54, Resulting Numbers: [5, 2, 54] Generated Node #2: [5, 2, 54] from Operation: 63-9=54 Current State: 47:[5, 2, 54], Operations: ['63-9=54'] Exploring Operation: 5+2=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 5+2=7 Current State: 47:[54, 7], Operations: ['63-9=54', '5+2=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 88, 50, 4, 6 ]
94
[ "6-4=2", "88/2=44", "50+44=94" ]
Current State: 94:[88, 50, 4, 6], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [88, 50, 2] Generated Node #2: [88, 50, 2] from Operation: 6-4=2 Current State: 94:[88, 50, 2], Operations: ['6-4=2'] Exploring Operation: 88/2=44, Resulting Numbers: [50, 44] Generated Node #3: [50, 44] from Operation: 88/2=44 Current State: 94:[50, 44], Operations: ['6-4=2', '88/2=44'] Exploring Operation: 50+44=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 41, 9, 66, 17 ]
46
[ "41+66=107", "9*17=153", "153-107=46" ]
Current State: 46:[41, 9, 66, 17], Operations: [] Exploring Operation: 41+66=107, Resulting Numbers: [9, 17, 107] Generated Node #2: [9, 17, 107] from Operation: 41+66=107 Current State: 46:[9, 17, 107], Operations: ['41+66=107'] Exploring Operation: 9*17=153, Resulting Numbers: [107, 153] Generated Node #3: [107, 153] from Operation: 9*17=153 Current State: 46:[107, 153], Operations: ['41+66=107', '9*17=153'] Exploring Operation: 153-107=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 26, 87, 76 ]
22
[ "7+26=33", "87-76=11", "33-11=22" ]
Current State: 22:[7, 26, 87, 76], Operations: [] Exploring Operation: 7+26=33, Resulting Numbers: [87, 76, 33] Generated Node #2: [87, 76, 33] from Operation: 7+26=33 Current State: 22:[87, 76, 33], Operations: ['7+26=33'] Exploring Operation: 87-76=11, Resulting Numbers: [33, 11] Generated Node #3: [33, 11] from Operation: 87-76=11 Current State: 22:[33, 11], Operations: ['7+26=33', '87-76=11'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 66, 59, 92, 26 ]
90
[ "66-59=7", "26*7=182", "182-92=90" ]
Current State: 90:[66, 59, 92, 26], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [92, 26, 7] Generated Node #2: [92, 26, 7] from Operation: 66-59=7 Current State: 90:[92, 26, 7], Operations: ['66-59=7'] Exploring Operation: 26*7=182, Resulting Numbers: [92, 182] Generated Node #3: [92, 182] from Operation: 26*7=182 Current State: 90:[92, 182], Operations: ['66-59=7', '26*7=182'] Exploring Operation: 182-92=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 11, 73, 82, 39 ]
62
[ "82+39=121", "121/11=11", "73-11=62" ]
Current State: 62:[11, 73, 82, 39], Operations: [] Exploring Operation: 82+39=121, Resulting Numbers: [11, 73, 121] Generated Node #2: [11, 73, 121] from Operation: 82+39=121 Current State: 62:[11, 73, 121], Operations: ['82+39=121'] Exploring Operation: 121/11=11, Resulting Numbers: [73, 11] Generated Node #3: [73, 11] from Operation: 121/11=11 Current State: 62:[73, 11], Operations: ['82+39=121', '121/11=11'] Exploring Operation: 73-11=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 3, 63, 27 ]
42
[ "54/3=18", "63*18=1134", "1134/27=42" ]
Current State: 42:[54, 3, 63, 27], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [63, 27, 18] Generated Node #2: [63, 27, 18] from Operation: 54/3=18 Current State: 42:[63, 27, 18], Operations: ['54/3=18'] Exploring Operation: 63*18=1134, Resulting Numbers: [27, 1134] Generated Node #3: [27, 1134] from Operation: 63*18=1134 Current State: 42:[27, 1134], Operations: ['54/3=18', '63*18=1134'] Exploring Operation: 1134/27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 78, 27, 32, 39 ]
86
[ "78*27=2106", "2106/39=54", "32+54=86" ]
Current State: 86:[78, 27, 32, 39], Operations: [] Exploring Operation: 78*27=2106, Resulting Numbers: [32, 39, 2106] Generated Node #2: [32, 39, 2106] from Operation: 78*27=2106 Current State: 86:[32, 39, 2106], Operations: ['78*27=2106'] Exploring Operation: 2106/39=54, Resulting Numbers: [32, 54] Generated Node #3: [32, 54] from Operation: 2106/39=54 Current State: 86:[32, 54], Operations: ['78*27=2106', '2106/39=54'] Exploring Operation: 32+54=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 20, 75, 89 ]
89
[ "20-20=0", "75*0=0", "89+0=89" ]
Current State: 89:[20, 20, 75, 89], Operations: [] Exploring Operation: 20-20=0, Resulting Numbers: [75, 89, 0] Generated Node #2: [75, 89, 0] from Operation: 20-20=0 Current State: 89:[75, 89, 0], Operations: ['20-20=0'] Exploring Operation: 75*0=0, Resulting Numbers: [89, 0] Generated Node #3: [89, 0] from Operation: 75*0=0 Current State: 89:[89, 0], Operations: ['20-20=0', '75*0=0'] Exploring Operation: 89+0=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 37, 36, 9, 47 ]
62
[ "47-36=11", "9*11=99", "99-37=62" ]
Current State: 62:[37, 36, 9, 47], Operations: [] Exploring Operation: 47-36=11, Resulting Numbers: [37, 9, 11] Generated Node #2: [37, 9, 11] from Operation: 47-36=11 Current State: 62:[37, 9, 11], Operations: ['47-36=11'] Exploring Operation: 9*11=99, Resulting Numbers: [37, 99] Generated Node #3: [37, 99] from Operation: 9*11=99 Current State: 62:[37, 99], Operations: ['47-36=11', '9*11=99'] Exploring Operation: 99-37=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 99, 3, 21, 37 ]
51
[ "37-21=16", "3*16=48", "99-48=51" ]
Current State: 51:[99, 3, 21, 37], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [99, 3, 16] Generated Node #2: [99, 3, 16] from Operation: 37-21=16 Current State: 51:[99, 3, 16], Operations: ['37-21=16'] Exploring Operation: 3*16=48, Resulting Numbers: [99, 48] Generated Node #3: [99, 48] from Operation: 3*16=48 Current State: 51:[99, 48], Operations: ['37-21=16', '3*16=48'] Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 42, 35, 90, 87 ]
70
[ "87-42=45", "35*90=3150", "3150/45=70" ]
Current State: 70:[42, 35, 90, 87], Operations: [] Exploring Operation: 87-42=45, Resulting Numbers: [35, 90, 45] Generated Node #2: [35, 90, 45] from Operation: 87-42=45 Current State: 70:[35, 90, 45], Operations: ['87-42=45'] Exploring Operation: 35*90=3150, Resulting Numbers: [45, 3150] Generated Node #3: [45, 3150] from Operation: 35*90=3150 Current State: 70:[45, 3150], Operations: ['87-42=45', '35*90=3150'] Exploring Operation: 3150/45=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 95, 16, 15, 65 ]
32
[ "95-65=30", "16*30=480", "480/15=32" ]
Current State: 32:[95, 16, 15, 65], Operations: [] Exploring Operation: 95-65=30, Resulting Numbers: [16, 15, 30] Generated Node #2: [16, 15, 30] from Operation: 95-65=30 Current State: 32:[16, 15, 30], Operations: ['95-65=30'] Exploring Operation: 16*30=480, Resulting Numbers: [15, 480] Generated Node #3: [15, 480] from Operation: 16*30=480 Current State: 32:[15, 480], Operations: ['95-65=30', '16*30=480'] Exploring Operation: 480/15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 84, 71, 74, 96 ]
68
[ "74-71=3", "84/3=28", "96-28=68" ]
Current State: 68:[84, 71, 74, 96], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [84, 96, 3] Generated Node #2: [84, 96, 3] from Operation: 74-71=3 Current State: 68:[84, 96, 3], Operations: ['74-71=3'] Exploring Operation: 84/3=28, Resulting Numbers: [96, 28] Generated Node #3: [96, 28] from Operation: 84/3=28 Current State: 68:[96, 28], Operations: ['74-71=3', '84/3=28'] Exploring Operation: 96-28=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 96, 19, 11 ]
93
[ "2*11=22", "96+19=115", "115-22=93" ]
Current State: 93:[2, 96, 19, 11], Operations: [] Exploring Operation: 2*11=22, Resulting Numbers: [96, 19, 22] Generated Node #2: [96, 19, 22] from Operation: 2*11=22 Current State: 93:[96, 19, 22], Operations: ['2*11=22'] Exploring Operation: 96+19=115, Resulting Numbers: [22, 115] Generated Node #3: [22, 115] from Operation: 96+19=115 Current State: 93:[22, 115], Operations: ['2*11=22', '96+19=115'] Exploring Operation: 115-22=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 70, 9, 83, 55 ]
59
[ "70+9=79", "83+55=138", "138-79=59" ]
Current State: 59:[70, 9, 83, 55], Operations: [] Exploring Operation: 70+9=79, Resulting Numbers: [83, 55, 79] Generated Node #2: [83, 55, 79] from Operation: 70+9=79 Current State: 59:[83, 55, 79], Operations: ['70+9=79'] Exploring Operation: 83+55=138, Resulting Numbers: [79, 138] Generated Node #3: [79, 138] from Operation: 83+55=138 Current State: 59:[79, 138], Operations: ['70+9=79', '83+55=138'] Exploring Operation: 138-79=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 61, 47, 14, 96 ]
96
[ "61-47=14", "14+96=110", "110-14=96" ]
Current State: 96:[61, 47, 14, 96], Operations: [] Exploring Operation: 61-47=14, Resulting Numbers: [14, 96, 14] Generated Node #2: [14, 96, 14] from Operation: 61-47=14 Current State: 96:[14, 96, 14], Operations: ['61-47=14'] Exploring Operation: 14+96=110, Resulting Numbers: [110] 110,96 equal: Goal Reached Exploring Operation: 110-14=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 32, 35, 61, 63 ]
19
[ "63-61=2", "32/2=16", "35-16=19" ]
Current State: 19:[32, 35, 61, 63], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [32, 35, 2] Generated Node #2: [32, 35, 2] from Operation: 63-61=2 Current State: 19:[32, 35, 2], Operations: ['63-61=2'] Exploring Operation: 32/2=16, Resulting Numbers: [35, 16] Generated Node #3: [35, 16] from Operation: 32/2=16 Current State: 19:[35, 16], Operations: ['63-61=2', '32/2=16'] Exploring Operation: 35-16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 1, 29, 54, 72 ]
46
[ "29-1=28", "72-54=18", "28+18=46" ]
Current State: 46:[1, 29, 54, 72], Operations: [] Exploring Operation: 29-1=28, Resulting Numbers: [54, 72, 28] Generated Node #2: [54, 72, 28] from Operation: 29-1=28 Current State: 46:[54, 72, 28], Operations: ['29-1=28'] Exploring Operation: 72-54=18, Resulting Numbers: [28, 18] Generated Node #3: [28, 18] from Operation: 72-54=18 Current State: 46:[28, 18], Operations: ['29-1=28', '72-54=18'] Exploring Operation: 28+18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 83, 91, 16, 71 ]
87
[ "83+91=174", "16+71=87", "174-87=87" ]
Current State: 87:[83, 91, 16, 71], Operations: [] Exploring Operation: 83+91=174, Resulting Numbers: [16, 71, 174] Generated Node #2: [16, 71, 174] from Operation: 83+91=174 Current State: 87:[16, 71, 174], Operations: ['83+91=174'] Exploring Operation: 16+71=87, Resulting Numbers: [174, 87] Generated Node #3: [174, 87] from Operation: 16+71=87 Current State: 87:[174, 87], Operations: ['83+91=174', '16+71=87'] Exploring Operation: 174-87=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 43, 50, 85, 79 ]
71
[ "43+50=93", "85+79=164", "164-93=71" ]
Current State: 71:[43, 50, 85, 79], Operations: [] Exploring Operation: 43+50=93, Resulting Numbers: [85, 79, 93] Generated Node #2: [85, 79, 93] from Operation: 43+50=93 Current State: 71:[85, 79, 93], Operations: ['43+50=93'] Exploring Operation: 85+79=164, Resulting Numbers: [93, 164] Generated Node #3: [93, 164] from Operation: 85+79=164 Current State: 71:[93, 164], Operations: ['43+50=93', '85+79=164'] Exploring Operation: 164-93=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 3, 3, 7 ]
50
[ "7-3=4", "3*4=12", "38+12=50" ]
Current State: 50:[38, 3, 3, 7], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [38, 4] Generated Node #2: [38, 4] from Operation: 7-3=4 Current State: 50:[38, 4], Operations: ['7-3=4'] Exploring Operation: 3*4=12, Resulting Numbers: [38, 12] Generated Node #3: [38, 12] from Operation: 3*4=12 Current State: 50:[38, 12], Operations: ['7-3=4', '3*4=12'] Exploring Operation: 38+12=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 49, 24, 97 ]
51
[ "97-85=12", "24/12=2", "49+2=51" ]
Current State: 51:[85, 49, 24, 97], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [49, 24, 12] Generated Node #2: [49, 24, 12] from Operation: 97-85=12 Current State: 51:[49, 24, 12], Operations: ['97-85=12'] Exploring Operation: 24/12=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 24/12=2 Current State: 51:[49, 2], Operations: ['97-85=12', '24/12=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 59, 8, 89, 7 ]
31
[ "59-8=51", "89-7=82", "82-51=31" ]
Current State: 31:[59, 8, 89, 7], Operations: [] Exploring Operation: 59-8=51, Resulting Numbers: [89, 7, 51] Generated Node #2: [89, 7, 51] from Operation: 59-8=51 Current State: 31:[89, 7, 51], Operations: ['59-8=51'] Exploring Operation: 89-7=82, Resulting Numbers: [51, 82] Generated Node #3: [51, 82] from Operation: 89-7=82 Current State: 31:[51, 82], Operations: ['59-8=51', '89-7=82'] Exploring Operation: 82-51=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 4, 14, 69 ]
85
[ "44/4=11", "14*11=154", "154-69=85" ]
Current State: 85:[44, 4, 14, 69], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [14, 69, 11] Generated Node #2: [14, 69, 11] from Operation: 44/4=11 Current State: 85:[14, 69, 11], Operations: ['44/4=11'] Exploring Operation: 14*11=154, Resulting Numbers: [69, 154] Generated Node #3: [69, 154] from Operation: 14*11=154 Current State: 85:[69, 154], Operations: ['44/4=11', '14*11=154'] Exploring Operation: 154-69=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 18, 27, 57, 45 ]
12
[ "57-27=30", "18*30=540", "540/45=12" ]
Current State: 12:[18, 27, 57, 45], Operations: [] Exploring Operation: 57-27=30, Resulting Numbers: [18, 45, 30] Generated Node #2: [18, 45, 30] from Operation: 57-27=30 Current State: 12:[18, 45, 30], Operations: ['57-27=30'] Exploring Operation: 18*30=540, Resulting Numbers: [45, 540] Generated Node #3: [45, 540] from Operation: 18*30=540 Current State: 12:[45, 540], Operations: ['57-27=30', '18*30=540'] Exploring Operation: 540/45=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 86, 56, 35, 62 ]
15
[ "86-62=24", "35*24=840", "840/56=15" ]
Current State: 15:[86, 56, 35, 62], Operations: [] Exploring Operation: 86-62=24, Resulting Numbers: [56, 35, 24] Generated Node #2: [56, 35, 24] from Operation: 86-62=24 Current State: 15:[56, 35, 24], Operations: ['86-62=24'] Exploring Operation: 35*24=840, Resulting Numbers: [56, 840] Generated Node #3: [56, 840] from Operation: 35*24=840 Current State: 15:[56, 840], Operations: ['86-62=24', '35*24=840'] Exploring Operation: 840/56=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 21, 84, 59 ]
17
[ "23-21=2", "84/2=42", "59-42=17" ]
Current State: 17:[23, 21, 84, 59], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [84, 59, 2] Generated Node #2: [84, 59, 2] from Operation: 23-21=2 Current State: 17:[84, 59, 2], Operations: ['23-21=2'] Exploring Operation: 84/2=42, Resulting Numbers: [59, 42] Generated Node #3: [59, 42] from Operation: 84/2=42 Current State: 17:[59, 42], Operations: ['23-21=2', '84/2=42'] Exploring Operation: 59-42=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 44, 19, 28, 76 ]
39
[ "44*19=836", "836/76=11", "28+11=39" ]
Current State: 39:[44, 19, 28, 76], Operations: [] Exploring Operation: 44*19=836, Resulting Numbers: [28, 76, 836] Generated Node #2: [28, 76, 836] from Operation: 44*19=836 Current State: 39:[28, 76, 836], Operations: ['44*19=836'] Exploring Operation: 836/76=11, Resulting Numbers: [28, 11] Generated Node #3: [28, 11] from Operation: 836/76=11 Current State: 39:[28, 11], Operations: ['44*19=836', '836/76=11'] Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 17, 53, 43 ]
98
[ "53-17=36", "43-36=7", "14*7=98" ]
Current State: 98:[14, 17, 53, 43], Operations: [] Exploring Operation: 53-17=36, Resulting Numbers: [14, 43, 36] Generated Node #2: [14, 43, 36] from Operation: 53-17=36 Current State: 98:[14, 43, 36], Operations: ['53-17=36'] Exploring Operation: 43-36=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 43-36=7 Current State: 98:[14, 7], Operations: ['53-17=36', '43-36=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 96, 86, 15, 51 ]
26
[ "96-86=10", "51-15=36", "36-10=26" ]
Current State: 26:[96, 86, 15, 51], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [15, 51, 10] Generated Node #2: [15, 51, 10] from Operation: 96-86=10 Current State: 26:[15, 51, 10], Operations: ['96-86=10'] Exploring Operation: 51-15=36, Resulting Numbers: [10, 36] Generated Node #3: [10, 36] from Operation: 51-15=36 Current State: 26:[10, 36], Operations: ['96-86=10', '51-15=36'] Exploring Operation: 36-10=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 70, 63, 17, 5 ]
84
[ "70-63=7", "17-5=12", "7*12=84" ]
Current State: 84:[70, 63, 17, 5], Operations: [] Exploring Operation: 70-63=7, Resulting Numbers: [17, 5, 7] Generated Node #2: [17, 5, 7] from Operation: 70-63=7 Current State: 84:[17, 5, 7], Operations: ['70-63=7'] Exploring Operation: 17-5=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 17-5=12 Current State: 84:[7, 12], Operations: ['70-63=7', '17-5=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 63, 22, 2, 6 ]
29
[ "63-22=41", "2*6=12", "41-12=29" ]
Current State: 29:[63, 22, 2, 6], Operations: [] Exploring Operation: 63-22=41, Resulting Numbers: [2, 6, 41] Generated Node #2: [2, 6, 41] from Operation: 63-22=41 Current State: 29:[2, 6, 41], Operations: ['63-22=41'] Exploring Operation: 2*6=12, Resulting Numbers: [41, 12] Generated Node #3: [41, 12] from Operation: 2*6=12 Current State: 29:[41, 12], Operations: ['63-22=41', '2*6=12'] Exploring Operation: 41-12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 22, 68, 59 ]
18
[ "49-22=27", "68-59=9", "27-9=18" ]
Current State: 18:[49, 22, 68, 59], Operations: [] Exploring Operation: 49-22=27, Resulting Numbers: [68, 59, 27] Generated Node #2: [68, 59, 27] from Operation: 49-22=27 Current State: 18:[68, 59, 27], Operations: ['49-22=27'] Exploring Operation: 68-59=9, Resulting Numbers: [27, 9] Generated Node #3: [27, 9] from Operation: 68-59=9 Current State: 18:[27, 9], Operations: ['49-22=27', '68-59=9'] Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 63, 47, 52, 86 ]
76
[ "63+47=110", "86-52=34", "110-34=76" ]
Current State: 76:[63, 47, 52, 86], Operations: [] Exploring Operation: 63+47=110, Resulting Numbers: [52, 86, 110] Generated Node #2: [52, 86, 110] from Operation: 63+47=110 Current State: 76:[52, 86, 110], Operations: ['63+47=110'] Exploring Operation: 86-52=34, Resulting Numbers: [110, 34] Generated Node #3: [110, 34] from Operation: 86-52=34 Current State: 76:[110, 34], Operations: ['63+47=110', '86-52=34'] Exploring Operation: 110-34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 5, 54, 10 ]
51
[ "65/5=13", "54+10=64", "64-13=51" ]
Current State: 51:[65, 5, 54, 10], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [54, 10, 13] Generated Node #2: [54, 10, 13] from Operation: 65/5=13 Current State: 51:[54, 10, 13], Operations: ['65/5=13'] Exploring Operation: 54+10=64, Resulting Numbers: [13, 64] Generated Node #3: [13, 64] from Operation: 54+10=64 Current State: 51:[13, 64], Operations: ['65/5=13', '54+10=64'] Exploring Operation: 64-13=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 16, 19, 54, 90 ]
24
[ "19-16=3", "90/3=30", "54-30=24" ]
Current State: 24:[16, 19, 54, 90], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [54, 90, 3] Generated Node #2: [54, 90, 3] from Operation: 19-16=3 Current State: 24:[54, 90, 3], Operations: ['19-16=3'] Exploring Operation: 90/3=30, Resulting Numbers: [54, 30] Generated Node #3: [54, 30] from Operation: 90/3=30 Current State: 24:[54, 30], Operations: ['19-16=3', '90/3=30'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 99, 84, 99 ]
87
[ "2+84=86", "99/99=1", "86+1=87" ]
Current State: 87:[2, 99, 84, 99], Operations: [] Exploring Operation: 2+84=86, Resulting Numbers: [99, 99, 86] Generated Node #2: [99, 99, 86] from Operation: 2+84=86 Current State: 87:[99, 99, 86], Operations: ['2+84=86'] Exploring Operation: 99/99=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 99/99=1 Current State: 87:[86, 1], Operations: ['2+84=86', '99/99=1'] Exploring Operation: 86+1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 62, 66, 81, 18 ]
67
[ "66-62=4", "81-18=63", "4+63=67" ]
Current State: 67:[62, 66, 81, 18], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [81, 18, 4] Generated Node #2: [81, 18, 4] from Operation: 66-62=4 Current State: 67:[81, 18, 4], Operations: ['66-62=4'] Exploring Operation: 81-18=63, Resulting Numbers: [4, 63] Generated Node #3: [4, 63] from Operation: 81-18=63 Current State: 67:[4, 63], Operations: ['66-62=4', '81-18=63'] Exploring Operation: 4+63=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 60, 15, 61, 57 ]
66
[ "60-57=3", "15/3=5", "61+5=66" ]
Current State: 66:[60, 15, 61, 57], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [15, 61, 3] Generated Node #2: [15, 61, 3] from Operation: 60-57=3 Current State: 66:[15, 61, 3], Operations: ['60-57=3'] Exploring Operation: 15/3=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 15/3=5 Current State: 66:[61, 5], Operations: ['60-57=3', '15/3=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 18, 7, 91, 17 ]
98
[ "18-17=1", "7+91=98", "1*98=98" ]
Current State: 98:[18, 7, 91, 17], Operations: [] Exploring Operation: 18-17=1, Resulting Numbers: [7, 91, 1] Generated Node #2: [7, 91, 1] from Operation: 18-17=1 Current State: 98:[7, 91, 1], Operations: ['18-17=1'] Exploring Operation: 7+91=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 7+91=98 Current State: 98:[1, 98], Operations: ['18-17=1', '7+91=98'] Exploring Operation: 1*98=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 17, 75, 16, 4 ]
80
[ "17+75=92", "16-4=12", "92-12=80" ]
Current State: 80:[17, 75, 16, 4], Operations: [] Exploring Operation: 17+75=92, Resulting Numbers: [16, 4, 92] Generated Node #2: [16, 4, 92] from Operation: 17+75=92 Current State: 80:[16, 4, 92], Operations: ['17+75=92'] Exploring Operation: 16-4=12, Resulting Numbers: [92, 12] Generated Node #3: [92, 12] from Operation: 16-4=12 Current State: 80:[92, 12], Operations: ['17+75=92', '16-4=12'] Exploring Operation: 92-12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 20, 2, 28, 44 ]
72
[ "28-20=8", "44-8=36", "2*36=72" ]
Current State: 72:[20, 2, 28, 44], Operations: [] Exploring Operation: 28-20=8, Resulting Numbers: [2, 44, 8] Generated Node #2: [2, 44, 8] from Operation: 28-20=8 Current State: 72:[2, 44, 8], Operations: ['28-20=8'] Exploring Operation: 44-8=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 44-8=36 Current State: 72:[2, 36], Operations: ['28-20=8', '44-8=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 50, 41, 40, 1 ]
48
[ "50-41=9", "40-1=39", "9+39=48" ]
Current State: 48:[50, 41, 40, 1], Operations: [] Exploring Operation: 50-41=9, Resulting Numbers: [40, 1, 9] Generated Node #2: [40, 1, 9] from Operation: 50-41=9 Current State: 48:[40, 1, 9], Operations: ['50-41=9'] Exploring Operation: 40-1=39, Resulting Numbers: [9, 39] Generated Node #3: [9, 39] from Operation: 40-1=39 Current State: 48:[9, 39], Operations: ['50-41=9', '40-1=39'] Exploring Operation: 9+39=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 12, 58, 73, 1 ]
64
[ "73-1=72", "72/12=6", "58+6=64" ]
Current State: 64:[12, 58, 73, 1], Operations: [] Exploring Operation: 73-1=72, Resulting Numbers: [12, 58, 72] Generated Node #2: [12, 58, 72] from Operation: 73-1=72 Current State: 64:[12, 58, 72], Operations: ['73-1=72'] Exploring Operation: 72/12=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 72/12=6 Current State: 64:[58, 6], Operations: ['73-1=72', '72/12=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 19, 28, 24, 3 ]
88
[ "19+3=22", "28-24=4", "22*4=88" ]
Current State: 88:[19, 28, 24, 3], Operations: [] Exploring Operation: 19+3=22, Resulting Numbers: [28, 24, 22] Generated Node #2: [28, 24, 22] from Operation: 19+3=22 Current State: 88:[28, 24, 22], Operations: ['19+3=22'] Exploring Operation: 28-24=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 28-24=4 Current State: 88:[22, 4], Operations: ['19+3=22', '28-24=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 99, 95, 2, 87 ]
83
[ "95-87=8", "2*8=16", "99-16=83" ]
Current State: 83:[99, 95, 2, 87], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [99, 2, 8] Generated Node #2: [99, 2, 8] from Operation: 95-87=8 Current State: 83:[99, 2, 8], Operations: ['95-87=8'] Exploring Operation: 2*8=16, Resulting Numbers: [99, 16] Generated Node #3: [99, 16] from Operation: 2*8=16 Current State: 83:[99, 16], Operations: ['95-87=8', '2*8=16'] Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 86, 63, 74, 47 ]
50
[ "86-63=23", "74-47=27", "23+27=50" ]
Current State: 50:[86, 63, 74, 47], Operations: [] Exploring Operation: 86-63=23, Resulting Numbers: [74, 47, 23] Generated Node #2: [74, 47, 23] from Operation: 86-63=23 Current State: 50:[74, 47, 23], Operations: ['86-63=23'] Exploring Operation: 74-47=27, Resulting Numbers: [23, 27] Generated Node #3: [23, 27] from Operation: 74-47=27 Current State: 50:[23, 27], Operations: ['86-63=23', '74-47=27'] Exploring Operation: 23+27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 75, 8, 56, 16 ]
21
[ "75-56=19", "16/8=2", "19+2=21" ]
Current State: 21:[75, 8, 56, 16], Operations: [] Exploring Operation: 75-56=19, Resulting Numbers: [8, 16, 19] Generated Node #2: [8, 16, 19] from Operation: 75-56=19 Current State: 21:[8, 16, 19], Operations: ['75-56=19'] Exploring Operation: 16/8=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 16/8=2 Current State: 21:[19, 2], Operations: ['75-56=19', '16/8=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 34, 23, 30, 33 ]
40
[ "34-30=4", "33-23=10", "4*10=40" ]
Current State: 40:[34, 23, 30, 33], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [23, 33, 4] Generated Node #2: [23, 33, 4] from Operation: 34-30=4 Current State: 40:[23, 33, 4], Operations: ['34-30=4'] Exploring Operation: 33-23=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 33-23=10 Current State: 40:[4, 10], Operations: ['34-30=4', '33-23=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 33, 22, 20, 77 ]
37
[ "20*77=1540", "1540/22=70", "70-33=37" ]
Current State: 37:[33, 22, 20, 77], Operations: [] Exploring Operation: 20*77=1540, Resulting Numbers: [33, 22, 1540] Generated Node #2: [33, 22, 1540] from Operation: 20*77=1540 Current State: 37:[33, 22, 1540], Operations: ['20*77=1540'] Exploring Operation: 1540/22=70, Resulting Numbers: [33, 70] Generated Node #3: [33, 70] from Operation: 1540/22=70 Current State: 37:[33, 70], Operations: ['20*77=1540', '1540/22=70'] Exploring Operation: 70-33=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 79, 41, 14, 57 ]
49
[ "79+41=120", "14+57=71", "120-71=49" ]
Current State: 49:[79, 41, 14, 57], Operations: [] Exploring Operation: 79+41=120, Resulting Numbers: [14, 57, 120] Generated Node #2: [14, 57, 120] from Operation: 79+41=120 Current State: 49:[14, 57, 120], Operations: ['79+41=120'] Exploring Operation: 14+57=71, Resulting Numbers: [120, 71] Generated Node #3: [120, 71] from Operation: 14+57=71 Current State: 49:[120, 71], Operations: ['79+41=120', '14+57=71'] Exploring Operation: 120-71=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 45, 35, 68 ]
87
[ "45*68=3060", "3060-15=3045", "3045/35=87" ]
Current State: 87:[15, 45, 35, 68], Operations: [] Exploring Operation: 45*68=3060, Resulting Numbers: [15, 35, 3060] Generated Node #2: [15, 35, 3060] from Operation: 45*68=3060 Current State: 87:[15, 35, 3060], Operations: ['45*68=3060'] Exploring Operation: 3060-15=3045, Resulting Numbers: [35, 3045] Generated Node #3: [35, 3045] from Operation: 3060-15=3045 Current State: 87:[35, 3045], Operations: ['45*68=3060', '3060-15=3045'] Exploring Operation: 3045/35=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 42, 7, 70, 88 ]
22
[ "70-42=28", "7*88=616", "616/28=22" ]
Current State: 22:[42, 7, 70, 88], Operations: [] Exploring Operation: 70-42=28, Resulting Numbers: [7, 88, 28] Generated Node #2: [7, 88, 28] from Operation: 70-42=28 Current State: 22:[7, 88, 28], Operations: ['70-42=28'] Exploring Operation: 7*88=616, Resulting Numbers: [28, 616] Generated Node #3: [28, 616] from Operation: 7*88=616 Current State: 22:[28, 616], Operations: ['70-42=28', '7*88=616'] Exploring Operation: 616/28=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 49, 95, 8 ]
36
[ "49+95=144", "144/8=18", "54-18=36" ]
Current State: 36:[54, 49, 95, 8], Operations: [] Exploring Operation: 49+95=144, Resulting Numbers: [54, 8, 144] Generated Node #2: [54, 8, 144] from Operation: 49+95=144 Current State: 36:[54, 8, 144], Operations: ['49+95=144'] Exploring Operation: 144/8=18, Resulting Numbers: [54, 18] Generated Node #3: [54, 18] from Operation: 144/8=18 Current State: 36:[54, 18], Operations: ['49+95=144', '144/8=18'] Exploring Operation: 54-18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 45, 45, 29, 55 ]
84
[ "45-45=0", "29+55=84", "0+84=84" ]
Current State: 84:[45, 45, 29, 55], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [29, 55, 0] Generated Node #2: [29, 55, 0] from Operation: 45-45=0 Current State: 84:[29, 55, 0], Operations: ['45-45=0'] Exploring Operation: 29+55=84, Resulting Numbers: [0, 84] Generated Node #3: [0, 84] from Operation: 29+55=84 Current State: 84:[0, 84], Operations: ['45-45=0', '29+55=84'] Exploring Operation: 0+84=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 39, 64, 80, 10 ]
13
[ "39+64=103", "80+10=90", "103-90=13" ]
Current State: 13:[39, 64, 80, 10], Operations: [] Exploring Operation: 39+64=103, Resulting Numbers: [80, 10, 103] Generated Node #2: [80, 10, 103] from Operation: 39+64=103 Current State: 13:[80, 10, 103], Operations: ['39+64=103'] Exploring Operation: 80+10=90, Resulting Numbers: [103, 90] Generated Node #3: [103, 90] from Operation: 80+10=90 Current State: 13:[103, 90], Operations: ['39+64=103', '80+10=90'] Exploring Operation: 103-90=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 52, 38, 29 ]
63
[ "2+52=54", "38-29=9", "54+9=63" ]
Current State: 63:[2, 52, 38, 29], Operations: [] Exploring Operation: 2+52=54, Resulting Numbers: [38, 29, 54] Generated Node #2: [38, 29, 54] from Operation: 2+52=54 Current State: 63:[38, 29, 54], Operations: ['2+52=54'] Exploring Operation: 38-29=9, Resulting Numbers: [54, 9] Generated Node #3: [54, 9] from Operation: 38-29=9 Current State: 63:[54, 9], Operations: ['2+52=54', '38-29=9'] Exploring Operation: 54+9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 17, 34, 90 ]
47
[ "90/3=30", "34-17=17", "30+17=47" ]
Current State: 47:[3, 17, 34, 90], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [17, 34, 30] Generated Node #2: [17, 34, 30] from Operation: 90/3=30 Current State: 47:[17, 34, 30], Operations: ['90/3=30'] Exploring Operation: 34-17=17, Resulting Numbers: [30, 17] Generated Node #3: [30, 17] from Operation: 34-17=17 Current State: 47:[30, 17], Operations: ['90/3=30', '34-17=17'] Exploring Operation: 30+17=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 23, 70, 46, 58 ]
35
[ "70-23=47", "58-46=12", "47-12=35" ]
Current State: 35:[23, 70, 46, 58], Operations: [] Exploring Operation: 70-23=47, Resulting Numbers: [46, 58, 47] Generated Node #2: [46, 58, 47] from Operation: 70-23=47 Current State: 35:[46, 58, 47], Operations: ['70-23=47'] Exploring Operation: 58-46=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 58-46=12 Current State: 35:[47, 12], Operations: ['70-23=47', '58-46=12'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 41, 12, 61, 77 ]
85
[ "41+12=53", "61+77=138", "138-53=85" ]
Current State: 85:[41, 12, 61, 77], Operations: [] Exploring Operation: 41+12=53, Resulting Numbers: [61, 77, 53] Generated Node #2: [61, 77, 53] from Operation: 41+12=53 Current State: 85:[61, 77, 53], Operations: ['41+12=53'] Exploring Operation: 61+77=138, Resulting Numbers: [53, 138] Generated Node #3: [53, 138] from Operation: 61+77=138 Current State: 85:[53, 138], Operations: ['41+12=53', '61+77=138'] Exploring Operation: 138-53=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 91, 83, 33 ]
87
[ "33-31=2", "91+83=174", "174/2=87" ]
Current State: 87:[31, 91, 83, 33], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [91, 83, 2] Generated Node #2: [91, 83, 2] from Operation: 33-31=2 Current State: 87:[91, 83, 2], Operations: ['33-31=2'] Exploring Operation: 91+83=174, Resulting Numbers: [2, 174] Generated Node #3: [2, 174] from Operation: 91+83=174 Current State: 87:[2, 174], Operations: ['33-31=2', '91+83=174'] Exploring Operation: 174/2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 22, 60, 80 ]
88
[ "80-60=20", "20/5=4", "22*4=88" ]
Current State: 88:[5, 22, 60, 80], Operations: [] Exploring Operation: 80-60=20, Resulting Numbers: [5, 22, 20] Generated Node #2: [5, 22, 20] from Operation: 80-60=20 Current State: 88:[5, 22, 20], Operations: ['80-60=20'] Exploring Operation: 20/5=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 20/5=4 Current State: 88:[22, 4], Operations: ['80-60=20', '20/5=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 41, 73, 26, 41 ]
46
[ "41/41=1", "73-26=47", "47-1=46" ]
Current State: 46:[41, 73, 26, 41], Operations: [] Exploring Operation: 41/41=1, Resulting Numbers: [73, 26, 1] Generated Node #2: [73, 26, 1] from Operation: 41/41=1 Current State: 46:[73, 26, 1], Operations: ['41/41=1'] Exploring Operation: 73-26=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 73-26=47 Current State: 46:[1, 47], Operations: ['41/41=1', '73-26=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 57, 46, 48, 84 ]
72
[ "57*48=2736", "84-46=38", "2736/38=72" ]
Current State: 72:[57, 46, 48, 84], Operations: [] Exploring Operation: 57*48=2736, Resulting Numbers: [46, 84, 2736] Generated Node #2: [46, 84, 2736] from Operation: 57*48=2736 Current State: 72:[46, 84, 2736], Operations: ['57*48=2736'] Exploring Operation: 84-46=38, Resulting Numbers: [2736, 38] Generated Node #3: [2736, 38] from Operation: 84-46=38 Current State: 72:[2736, 38], Operations: ['57*48=2736', '84-46=38'] Exploring Operation: 2736/38=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 90, 82, 22, 31 ]
28
[ "82*31=2542", "2542-22=2520", "2520/90=28" ]
Current State: 28:[90, 82, 22, 31], Operations: [] Exploring Operation: 82*31=2542, Resulting Numbers: [90, 22, 2542] Generated Node #2: [90, 22, 2542] from Operation: 82*31=2542 Current State: 28:[90, 22, 2542], Operations: ['82*31=2542'] Exploring Operation: 2542-22=2520, Resulting Numbers: [90, 2520] Generated Node #3: [90, 2520] from Operation: 2542-22=2520 Current State: 28:[90, 2520], Operations: ['82*31=2542', '2542-22=2520'] Exploring Operation: 2520/90=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 57, 39, 24 ]
84
[ "3*39=117", "57-24=33", "117-33=84" ]
Current State: 84:[3, 57, 39, 24], Operations: [] Exploring Operation: 3*39=117, Resulting Numbers: [57, 24, 117] Generated Node #2: [57, 24, 117] from Operation: 3*39=117 Current State: 84:[57, 24, 117], Operations: ['3*39=117'] Exploring Operation: 57-24=33, Resulting Numbers: [117, 33] Generated Node #3: [117, 33] from Operation: 57-24=33 Current State: 84:[117, 33], Operations: ['3*39=117', '57-24=33'] Exploring Operation: 117-33=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 82, 45, 3, 50 ]
80
[ "82+45=127", "50-3=47", "127-47=80" ]
Current State: 80:[82, 45, 3, 50], Operations: [] Exploring Operation: 82+45=127, Resulting Numbers: [3, 50, 127] Generated Node #2: [3, 50, 127] from Operation: 82+45=127 Current State: 80:[3, 50, 127], Operations: ['82+45=127'] Exploring Operation: 50-3=47, Resulting Numbers: [127, 47] Generated Node #3: [127, 47] from Operation: 50-3=47 Current State: 80:[127, 47], Operations: ['82+45=127', '50-3=47'] Exploring Operation: 127-47=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 73, 12, 49, 53 ]
70
[ "53-49=4", "12/4=3", "73-3=70" ]
Current State: 70:[73, 12, 49, 53], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [73, 12, 4] Generated Node #2: [73, 12, 4] from Operation: 53-49=4 Current State: 70:[73, 12, 4], Operations: ['53-49=4'] Exploring Operation: 12/4=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 12/4=3 Current State: 70:[73, 3], Operations: ['53-49=4', '12/4=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 31, 17, 4, 7 ]
85
[ "31+4=35", "17*35=595", "595/7=85" ]
Current State: 85:[31, 17, 4, 7], Operations: [] Exploring Operation: 31+4=35, Resulting Numbers: [17, 7, 35] Generated Node #2: [17, 7, 35] from Operation: 31+4=35 Current State: 85:[17, 7, 35], Operations: ['31+4=35'] Exploring Operation: 17*35=595, Resulting Numbers: [7, 595] Generated Node #3: [7, 595] from Operation: 17*35=595 Current State: 85:[7, 595], Operations: ['31+4=35', '17*35=595'] Exploring Operation: 595/7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 25, 3, 40, 5 ]
14
[ "25-3=22", "40/5=8", "22-8=14" ]
Current State: 14:[25, 3, 40, 5], Operations: [] Exploring Operation: 25-3=22, Resulting Numbers: [40, 5, 22] Generated Node #2: [40, 5, 22] from Operation: 25-3=22 Current State: 14:[40, 5, 22], Operations: ['25-3=22'] Exploring Operation: 40/5=8, Resulting Numbers: [22, 8] Generated Node #3: [22, 8] from Operation: 40/5=8 Current State: 14:[22, 8], Operations: ['25-3=22', '40/5=8'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 79, 44, 89 ]
41
[ "7+79=86", "89-44=45", "86-45=41" ]
Current State: 41:[7, 79, 44, 89], Operations: [] Exploring Operation: 7+79=86, Resulting Numbers: [44, 89, 86] Generated Node #2: [44, 89, 86] from Operation: 7+79=86 Current State: 41:[44, 89, 86], Operations: ['7+79=86'] Exploring Operation: 89-44=45, Resulting Numbers: [86, 45] Generated Node #3: [86, 45] from Operation: 89-44=45 Current State: 41:[86, 45], Operations: ['7+79=86', '89-44=45'] Exploring Operation: 86-45=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 89, 16, 87, 74 ]
87
[ "89-16=73", "74-73=1", "87*1=87" ]
Current State: 87:[89, 16, 87, 74], Operations: [] Exploring Operation: 89-16=73, Resulting Numbers: [87, 74, 73] Generated Node #2: [87, 74, 73] from Operation: 89-16=73 Current State: 87:[87, 74, 73], Operations: ['89-16=73'] Exploring Operation: 74-73=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 74-73=1 Current State: 87:[87, 1], Operations: ['89-16=73', '74-73=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 36, 1, 33, 72 ]
75
[ "36*1=36", "72-33=39", "36+39=75" ]
Current State: 75:[36, 1, 33, 72], Operations: [] Exploring Operation: 36*1=36, Resulting Numbers: [33, 72, 36] Generated Node #2: [33, 72, 36] from Operation: 36*1=36 Current State: 75:[33, 72, 36], Operations: ['36*1=36'] Exploring Operation: 72-33=39, Resulting Numbers: [36, 39] Generated Node #3: [36, 39] from Operation: 72-33=39 Current State: 75:[36, 39], Operations: ['36*1=36', '72-33=39'] Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 37, 7, 60, 42 ]
91
[ "37+60=97", "42/7=6", "97-6=91" ]
Current State: 91:[37, 7, 60, 42], Operations: [] Exploring Operation: 37+60=97, Resulting Numbers: [7, 42, 97] Generated Node #2: [7, 42, 97] from Operation: 37+60=97 Current State: 91:[7, 42, 97], Operations: ['37+60=97'] Exploring Operation: 42/7=6, Resulting Numbers: [97, 6] Generated Node #3: [97, 6] from Operation: 42/7=6 Current State: 91:[97, 6], Operations: ['37+60=97', '42/7=6'] Exploring Operation: 97-6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 76, 82, 51, 81 ]
25
[ "76-51=25", "82-81=1", "25*1=25" ]
Current State: 25:[76, 82, 51, 81], Operations: [] Exploring Operation: 76-51=25, Resulting Numbers: [82, 81, 25] Generated Node #2: [82, 81, 25] from Operation: 76-51=25 Current State: 25:[82, 81, 25], Operations: ['76-51=25'] Exploring Operation: 82-81=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 82-81=1 Current State: 25:[25, 1], Operations: ['76-51=25', '82-81=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 54, 81, 29, 30 ]
27
[ "81-54=27", "30-29=1", "27*1=27" ]
Current State: 27:[54, 81, 29, 30], Operations: [] Exploring Operation: 81-54=27, Resulting Numbers: [29, 30, 27] Generated Node #2: [29, 30, 27] from Operation: 81-54=27 Current State: 27:[29, 30, 27], Operations: ['81-54=27'] Exploring Operation: 30-29=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 30-29=1 Current State: 27:[27, 1], Operations: ['81-54=27', '30-29=1'] Exploring Operation: 27*1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 95, 28, 80, 8 ]
51
[ "95+28=123", "80-8=72", "123-72=51" ]
Current State: 51:[95, 28, 80, 8], Operations: [] Exploring Operation: 95+28=123, Resulting Numbers: [80, 8, 123] Generated Node #2: [80, 8, 123] from Operation: 95+28=123 Current State: 51:[80, 8, 123], Operations: ['95+28=123'] Exploring Operation: 80-8=72, Resulting Numbers: [123, 72] Generated Node #3: [123, 72] from Operation: 80-8=72 Current State: 51:[123, 72], Operations: ['95+28=123', '80-8=72'] Exploring Operation: 123-72=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 46, 28, 84, 84 ]
73
[ "46+28=74", "84/84=1", "74-1=73" ]
Current State: 73:[46, 28, 84, 84], Operations: [] Exploring Operation: 46+28=74, Resulting Numbers: [84, 84, 74] Generated Node #2: [84, 84, 74] from Operation: 46+28=74 Current State: 73:[84, 84, 74], Operations: ['46+28=74'] Exploring Operation: 84/84=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 84/84=1 Current State: 73:[74, 1], Operations: ['46+28=74', '84/84=1'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 56, 28, 21, 56 ]
21
[ "56-56=0", "28*0=0", "21+0=21" ]
Current State: 21:[56, 28, 21, 56], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [28, 21, 0] Generated Node #2: [28, 21, 0] from Operation: 56-56=0 Current State: 21:[28, 21, 0], Operations: ['56-56=0'] Exploring Operation: 28*0=0, Resulting Numbers: [21, 0] Generated Node #3: [21, 0] from Operation: 28*0=0 Current State: 21:[21, 0], Operations: ['56-56=0', '28*0=0'] Exploring Operation: 21+0=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 40, 8, 6, 22 ]
44
[ "22-8=14", "6*14=84", "84-40=44" ]
Current State: 44:[40, 8, 6, 22], Operations: [] Exploring Operation: 22-8=14, Resulting Numbers: [40, 6, 14] Generated Node #2: [40, 6, 14] from Operation: 22-8=14 Current State: 44:[40, 6, 14], Operations: ['22-8=14'] Exploring Operation: 6*14=84, Resulting Numbers: [40, 84] Generated Node #3: [40, 84] from Operation: 6*14=84 Current State: 44:[40, 84], Operations: ['22-8=14', '6*14=84'] Exploring Operation: 84-40=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 86, 17, 5, 77 ]
62
[ "86-77=9", "5*9=45", "17+45=62" ]
Current State: 62:[86, 17, 5, 77], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [17, 5, 9] Generated Node #2: [17, 5, 9] from Operation: 86-77=9 Current State: 62:[17, 5, 9], Operations: ['86-77=9'] Exploring Operation: 5*9=45, Resulting Numbers: [17, 45] Generated Node #3: [17, 45] from Operation: 5*9=45 Current State: 62:[17, 45], Operations: ['86-77=9', '5*9=45'] Exploring Operation: 17+45=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 4, 18, 66, 66 ]
54
[ "66-18=48", "48/4=12", "66-12=54" ]
Current State: 54:[4, 18, 66, 66], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [4, 48] Generated Node #2: [4, 48] from Operation: 66-18=48 Current State: 54:[4, 48], Operations: ['66-18=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,54 equal: Goal Reached Exploring Operation: 66-12=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 55, 79, 40, 87 ]
11
[ "87-79=8", "55*8=440", "440/40=11" ]
Current State: 11:[55, 79, 40, 87], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [55, 40, 8] Generated Node #2: [55, 40, 8] from Operation: 87-79=8 Current State: 11:[55, 40, 8], Operations: ['87-79=8'] Exploring Operation: 55*8=440, Resulting Numbers: [40, 440] Generated Node #3: [40, 440] from Operation: 55*8=440 Current State: 11:[40, 440], Operations: ['87-79=8', '55*8=440'] Exploring Operation: 440/40=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4