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
[ 48, 43, 35, 31 ]
39
[ "43-31=12", "48/12=4", "35+4=39" ]
Current State: 39:[48, 43, 35, 31], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [48, 35, 12] Generated Node #2: [48, 35, 12] from Operation: 43-31=12 Current State: 39:[48, 35, 12], Operations: ['43-31=12'] Exploring Operation: 48/12=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 48/12=4 Current State: 39:[35, 4], Operations: ['43-31=12', '48/12=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 40, 11, 6, 35 ]
27
[ "11-6=5", "40/5=8", "35-8=27" ]
Current State: 27:[40, 11, 6, 35], Operations: [] Exploring Operation: 11-6=5, Resulting Numbers: [40, 35, 5] Generated Node #2: [40, 35, 5] from Operation: 11-6=5 Current State: 27:[40, 35, 5], Operations: ['11-6=5'] Exploring Operation: 40/5=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 40/5=8 Current State: 27:[35, 8], Operations: ['11-6=5', '40/5=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 65, 23, 74 ]
35
[ "65-49=16", "74-23=51", "51-16=35" ]
Current State: 35:[49, 65, 23, 74], Operations: [] Exploring Operation: 65-49=16, Resulting Numbers: [23, 74, 16] Generated Node #2: [23, 74, 16] from Operation: 65-49=16 Current State: 35:[23, 74, 16], Operations: ['65-49=16'] Exploring Operation: 74-23=51, Resulting Numbers: [16, 51] Generated Node #3: [16, 51] from Operation: 74-23=51 Current State: 35:[16, 51], Operations: ['65-49=16', '74-23=51'] Exploring Operation: 51-16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 32, 58, 54, 13 ]
67
[ "58-32=26", "54-13=41", "26+41=67" ]
Current State: 67:[32, 58, 54, 13], Operations: [] Exploring Operation: 58-32=26, Resulting Numbers: [54, 13, 26] Generated Node #2: [54, 13, 26] from Operation: 58-32=26 Current State: 67:[54, 13, 26], Operations: ['58-32=26'] Exploring Operation: 54-13=41, Resulting Numbers: [26, 41] Generated Node #3: [26, 41] from Operation: 54-13=41 Current State: 67:[26, 41], Operations: ['58-32=26', '54-13=41'] Exploring Operation: 26+41=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 73, 3, 58, 35 ]
26
[ "73+58=131", "3*35=105", "131-105=26" ]
Current State: 26:[73, 3, 58, 35], Operations: [] Exploring Operation: 73+58=131, Resulting Numbers: [3, 35, 131] Generated Node #2: [3, 35, 131] from Operation: 73+58=131 Current State: 26:[3, 35, 131], Operations: ['73+58=131'] Exploring Operation: 3*35=105, Resulting Numbers: [131, 105] Generated Node #3: [131, 105] from Operation: 3*35=105 Current State: 26:[131, 105], Operations: ['73+58=131', '3*35=105'] Exploring Operation: 131-105=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 42, 12, 72, 30 ]
72
[ "42-12=30", "72+30=102", "102-30=72" ]
Current State: 72:[42, 12, 72, 30], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [72, 30, 30] Generated Node #2: [72, 30, 30] from Operation: 42-12=30 Current State: 72:[72, 30, 30], Operations: ['42-12=30'] Exploring Operation: 72+30=102, Resulting Numbers: [102] 102,72 equal: Goal Reached Exploring Operation: 102-30=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 95, 67, 8, 39 ]
88
[ "95-67=28", "39-28=11", "8*11=88" ]
Current State: 88:[95, 67, 8, 39], Operations: [] Exploring Operation: 95-67=28, Resulting Numbers: [8, 39, 28] Generated Node #2: [8, 39, 28] from Operation: 95-67=28 Current State: 88:[8, 39, 28], Operations: ['95-67=28'] Exploring Operation: 39-28=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 39-28=11 Current State: 88:[8, 11], Operations: ['95-67=28', '39-28=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 17, 65, 8, 9 ]
11
[ "17*9=153", "153-65=88", "88/8=11" ]
Current State: 11:[17, 65, 8, 9], Operations: [] Exploring Operation: 17*9=153, Resulting Numbers: [65, 8, 153] Generated Node #2: [65, 8, 153] from Operation: 17*9=153 Current State: 11:[65, 8, 153], Operations: ['17*9=153'] Exploring Operation: 153-65=88, Resulting Numbers: [8, 88] Generated Node #3: [8, 88] from Operation: 153-65=88 Current State: 11:[8, 88], Operations: ['17*9=153', '153-65=88'] Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 99, 94, 45, 12 ]
28
[ "99-94=5", "45-12=33", "33-5=28" ]
Current State: 28:[99, 94, 45, 12], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [45, 12, 5] Generated Node #2: [45, 12, 5] from Operation: 99-94=5 Current State: 28:[45, 12, 5], Operations: ['99-94=5'] Exploring Operation: 45-12=33, Resulting Numbers: [5, 33] Generated Node #3: [5, 33] from Operation: 45-12=33 Current State: 28:[5, 33], Operations: ['99-94=5', '45-12=33'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 76, 26, 27, 31 ]
59
[ "31-26=5", "27*5=135", "135-76=59" ]
Current State: 59:[76, 26, 27, 31], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [76, 27, 5] Generated Node #2: [76, 27, 5] from Operation: 31-26=5 Current State: 59:[76, 27, 5], Operations: ['31-26=5'] Exploring Operation: 27*5=135, Resulting Numbers: [76, 135] Generated Node #3: [76, 135] from Operation: 27*5=135 Current State: 59:[76, 135], Operations: ['31-26=5', '27*5=135'] Exploring Operation: 135-76=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 59, 83, 34 ]
88
[ "83-34=49", "3*49=147", "147-59=88" ]
Current State: 88:[3, 59, 83, 34], Operations: [] Exploring Operation: 83-34=49, Resulting Numbers: [3, 59, 49] Generated Node #2: [3, 59, 49] from Operation: 83-34=49 Current State: 88:[3, 59, 49], Operations: ['83-34=49'] Exploring Operation: 3*49=147, Resulting Numbers: [59, 147] Generated Node #3: [59, 147] from Operation: 3*49=147 Current State: 88:[59, 147], Operations: ['83-34=49', '3*49=147'] Exploring Operation: 147-59=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 47, 15, 72, 17 ]
27
[ "47+15=62", "72+17=89", "89-62=27" ]
Current State: 27:[47, 15, 72, 17], Operations: [] Exploring Operation: 47+15=62, Resulting Numbers: [72, 17, 62] Generated Node #2: [72, 17, 62] from Operation: 47+15=62 Current State: 27:[72, 17, 62], Operations: ['47+15=62'] Exploring Operation: 72+17=89, Resulting Numbers: [62, 89] Generated Node #3: [62, 89] from Operation: 72+17=89 Current State: 27:[62, 89], Operations: ['47+15=62', '72+17=89'] Exploring Operation: 89-62=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 31, 46, 66, 50 ]
39
[ "31+46=77", "66+50=116", "116-77=39" ]
Current State: 39:[31, 46, 66, 50], Operations: [] Exploring Operation: 31+46=77, Resulting Numbers: [66, 50, 77] Generated Node #2: [66, 50, 77] from Operation: 31+46=77 Current State: 39:[66, 50, 77], Operations: ['31+46=77'] Exploring Operation: 66+50=116, Resulting Numbers: [77, 116] Generated Node #3: [77, 116] from Operation: 66+50=116 Current State: 39:[77, 116], Operations: ['31+46=77', '66+50=116'] Exploring Operation: 116-77=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 82, 77, 87, 44 ]
42
[ "77+87=164", "164/82=2", "44-2=42" ]
Current State: 42:[82, 77, 87, 44], Operations: [] Exploring Operation: 77+87=164, Resulting Numbers: [82, 44, 164] Generated Node #2: [82, 44, 164] from Operation: 77+87=164 Current State: 42:[82, 44, 164], Operations: ['77+87=164'] Exploring Operation: 164/82=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 164/82=2 Current State: 42:[44, 2], Operations: ['77+87=164', '164/82=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 3, 35, 8 ]
45
[ "24*3=72", "35-8=27", "72-27=45" ]
Current State: 45:[24, 3, 35, 8], Operations: [] Exploring Operation: 24*3=72, Resulting Numbers: [35, 8, 72] Generated Node #2: [35, 8, 72] from Operation: 24*3=72 Current State: 45:[35, 8, 72], Operations: ['24*3=72'] Exploring Operation: 35-8=27, Resulting Numbers: [72, 27] Generated Node #3: [72, 27] from Operation: 35-8=27 Current State: 45:[72, 27], Operations: ['24*3=72', '35-8=27'] Exploring Operation: 72-27=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 89, 6, 20, 15 ]
81
[ "6*20=120", "120/15=8", "89-8=81" ]
Current State: 81:[89, 6, 20, 15], Operations: [] Exploring Operation: 6*20=120, Resulting Numbers: [89, 15, 120] Generated Node #2: [89, 15, 120] from Operation: 6*20=120 Current State: 81:[89, 15, 120], Operations: ['6*20=120'] Exploring Operation: 120/15=8, Resulting Numbers: [89, 8] Generated Node #3: [89, 8] from Operation: 120/15=8 Current State: 81:[89, 8], Operations: ['6*20=120', '120/15=8'] Exploring Operation: 89-8=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 17, 77, 91 ]
72
[ "75-17=58", "91-77=14", "58+14=72" ]
Current State: 72:[75, 17, 77, 91], Operations: [] Exploring Operation: 75-17=58, Resulting Numbers: [77, 91, 58] Generated Node #2: [77, 91, 58] from Operation: 75-17=58 Current State: 72:[77, 91, 58], Operations: ['75-17=58'] Exploring Operation: 91-77=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 91-77=14 Current State: 72:[58, 14], Operations: ['75-17=58', '91-77=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 77, 55, 57, 98 ]
42
[ "98-77=21", "57-55=2", "21*2=42" ]
Current State: 42:[77, 55, 57, 98], Operations: [] Exploring Operation: 98-77=21, Resulting Numbers: [55, 57, 21] Generated Node #2: [55, 57, 21] from Operation: 98-77=21 Current State: 42:[55, 57, 21], Operations: ['98-77=21'] Exploring Operation: 57-55=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 57-55=2 Current State: 42:[21, 2], Operations: ['98-77=21', '57-55=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 56, 59, 10, 34 ]
50
[ "56+34=90", "90/10=9", "59-9=50" ]
Current State: 50:[56, 59, 10, 34], Operations: [] Exploring Operation: 56+34=90, Resulting Numbers: [59, 10, 90] Generated Node #2: [59, 10, 90] from Operation: 56+34=90 Current State: 50:[59, 10, 90], Operations: ['56+34=90'] Exploring Operation: 90/10=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 90/10=9 Current State: 50:[59, 9], Operations: ['56+34=90', '90/10=9'] Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 41, 71, 40, 7 ]
23
[ "41*40=1640", "1640-7=1633", "1633/71=23" ]
Current State: 23:[41, 71, 40, 7], Operations: [] Exploring Operation: 41*40=1640, Resulting Numbers: [71, 7, 1640] Generated Node #2: [71, 7, 1640] from Operation: 41*40=1640 Current State: 23:[71, 7, 1640], Operations: ['41*40=1640'] Exploring Operation: 1640-7=1633, Resulting Numbers: [71, 1633] Generated Node #3: [71, 1633] from Operation: 1640-7=1633 Current State: 23:[71, 1633], Operations: ['41*40=1640', '1640-7=1633'] Exploring Operation: 1633/71=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 80, 42, 11 ]
44
[ "29+11=40", "80/40=2", "42+2=44" ]
Current State: 44:[29, 80, 42, 11], Operations: [] Exploring Operation: 29+11=40, Resulting Numbers: [80, 42, 40] Generated Node #2: [80, 42, 40] from Operation: 29+11=40 Current State: 44:[80, 42, 40], Operations: ['29+11=40'] Exploring Operation: 80/40=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 80/40=2 Current State: 44:[42, 2], Operations: ['29+11=40', '80/40=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 57, 22, 32, 41 ]
35
[ "41-22=19", "57/19=3", "32+3=35" ]
Current State: 35:[57, 22, 32, 41], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [57, 32, 19] Generated Node #2: [57, 32, 19] from Operation: 41-22=19 Current State: 35:[57, 32, 19], Operations: ['41-22=19'] Exploring Operation: 57/19=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 57/19=3 Current State: 35:[32, 3], Operations: ['41-22=19', '57/19=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 80, 26, 93, 66 ]
79
[ "80+26=106", "93-66=27", "106-27=79" ]
Current State: 79:[80, 26, 93, 66], Operations: [] Exploring Operation: 80+26=106, Resulting Numbers: [93, 66, 106] Generated Node #2: [93, 66, 106] from Operation: 80+26=106 Current State: 79:[93, 66, 106], Operations: ['80+26=106'] Exploring Operation: 93-66=27, Resulting Numbers: [106, 27] Generated Node #3: [106, 27] from Operation: 93-66=27 Current State: 79:[106, 27], Operations: ['80+26=106', '93-66=27'] Exploring Operation: 106-27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 31, 65, 31 ]
30
[ "65-31=34", "34-31=3", "10*3=30" ]
Current State: 30:[10, 31, 65, 31], Operations: [] Exploring Operation: 65-31=34, Resulting Numbers: [10, 34] Generated Node #2: [10, 34] from Operation: 65-31=34 Current State: 30:[10, 34], Operations: ['65-31=34'] Exploring Operation: 34-31=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 34-31=3 Current State: 30:[10, 3], Operations: ['65-31=34', '34-31=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 27, 83, 51, 29 ]
30
[ "27+83=110", "51+29=80", "110-80=30" ]
Current State: 30:[27, 83, 51, 29], Operations: [] Exploring Operation: 27+83=110, Resulting Numbers: [51, 29, 110] Generated Node #2: [51, 29, 110] from Operation: 27+83=110 Current State: 30:[51, 29, 110], Operations: ['27+83=110'] Exploring Operation: 51+29=80, Resulting Numbers: [110, 80] Generated Node #3: [110, 80] from Operation: 51+29=80 Current State: 30:[110, 80], Operations: ['27+83=110', '51+29=80'] Exploring Operation: 110-80=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 32, 3, 96, 49 ]
43
[ "96/32=3", "49-3=46", "46-3=43" ]
Current State: 43:[32, 3, 96, 49], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [3, 49, 3] Generated Node #2: [3, 49, 3] from Operation: 96/32=3 Current State: 43:[3, 49, 3], Operations: ['96/32=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,43 equal: Goal Reached Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 37, 77, 44, 7 ]
92
[ "37+44=81", "77/7=11", "81+11=92" ]
Current State: 92:[37, 77, 44, 7], Operations: [] Exploring Operation: 37+44=81, Resulting Numbers: [77, 7, 81] Generated Node #2: [77, 7, 81] from Operation: 37+44=81 Current State: 92:[77, 7, 81], Operations: ['37+44=81'] Exploring Operation: 77/7=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 77/7=11 Current State: 92:[81, 11], Operations: ['37+44=81', '77/7=11'] Exploring Operation: 81+11=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 61, 44, 35, 9 ]
20
[ "44-35=9", "9*9=81", "81-61=20" ]
Current State: 20:[61, 44, 35, 9], Operations: [] Exploring Operation: 44-35=9, Resulting Numbers: [61, 9, 9] Generated Node #2: [61, 9, 9] from Operation: 44-35=9 Current State: 20:[61, 9, 9], Operations: ['44-35=9'] Exploring Operation: 9*9=81, Resulting Numbers: [61, 81] Generated Node #3: [61, 81] from Operation: 9*9=81 Current State: 20:[61, 81], Operations: ['44-35=9', '9*9=81'] Exploring Operation: 81-61=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 77, 38, 76, 68 ]
86
[ "77*76=5852", "5852/38=154", "154-68=86" ]
Current State: 86:[77, 38, 76, 68], Operations: [] Exploring Operation: 77*76=5852, Resulting Numbers: [38, 68, 5852] Generated Node #2: [38, 68, 5852] from Operation: 77*76=5852 Current State: 86:[38, 68, 5852], Operations: ['77*76=5852'] Exploring Operation: 5852/38=154, Resulting Numbers: [68, 154] Generated Node #3: [68, 154] from Operation: 5852/38=154 Current State: 86:[68, 154], Operations: ['77*76=5852', '5852/38=154'] Exploring Operation: 154-68=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 76, 80, 68, 27 ]
44
[ "80-76=4", "68/4=17", "27+17=44" ]
Current State: 44:[76, 80, 68, 27], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [68, 27, 4] Generated Node #2: [68, 27, 4] from Operation: 80-76=4 Current State: 44:[68, 27, 4], Operations: ['80-76=4'] Exploring Operation: 68/4=17, Resulting Numbers: [27, 17] Generated Node #3: [27, 17] from Operation: 68/4=17 Current State: 44:[27, 17], Operations: ['80-76=4', '68/4=17'] Exploring Operation: 27+17=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 77, 46, 26, 35 ]
30
[ "77-46=31", "26+35=61", "61-31=30" ]
Current State: 30:[77, 46, 26, 35], Operations: [] Exploring Operation: 77-46=31, Resulting Numbers: [26, 35, 31] Generated Node #2: [26, 35, 31] from Operation: 77-46=31 Current State: 30:[26, 35, 31], Operations: ['77-46=31'] Exploring Operation: 26+35=61, Resulting Numbers: [31, 61] Generated Node #3: [31, 61] from Operation: 26+35=61 Current State: 30:[31, 61], Operations: ['77-46=31', '26+35=61'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 15, 1, 59 ]
37
[ "3-1=2", "15+59=74", "74/2=37" ]
Current State: 37:[3, 15, 1, 59], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [15, 59, 2] Generated Node #2: [15, 59, 2] from Operation: 3-1=2 Current State: 37:[15, 59, 2], Operations: ['3-1=2'] Exploring Operation: 15+59=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 15+59=74 Current State: 37:[2, 74], Operations: ['3-1=2', '15+59=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 90, 7, 54 ]
63
[ "3+7=10", "90/10=9", "54+9=63" ]
Current State: 63:[3, 90, 7, 54], Operations: [] Exploring Operation: 3+7=10, Resulting Numbers: [90, 54, 10] Generated Node #2: [90, 54, 10] from Operation: 3+7=10 Current State: 63:[90, 54, 10], Operations: ['3+7=10'] Exploring Operation: 90/10=9, Resulting Numbers: [54, 9] Generated Node #3: [54, 9] from Operation: 90/10=9 Current State: 63:[54, 9], Operations: ['3+7=10', '90/10=9'] Exploring Operation: 54+9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 50, 47, 59, 10 ]
28
[ "50+47=97", "59+10=69", "97-69=28" ]
Current State: 28:[50, 47, 59, 10], Operations: [] Exploring Operation: 50+47=97, Resulting Numbers: [59, 10, 97] Generated Node #2: [59, 10, 97] from Operation: 50+47=97 Current State: 28:[59, 10, 97], Operations: ['50+47=97'] Exploring Operation: 59+10=69, Resulting Numbers: [97, 69] Generated Node #3: [97, 69] from Operation: 59+10=69 Current State: 28:[97, 69], Operations: ['50+47=97', '59+10=69'] Exploring Operation: 97-69=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 73, 74, 5, 90 ]
52
[ "73+74=147", "5+90=95", "147-95=52" ]
Current State: 52:[73, 74, 5, 90], Operations: [] Exploring Operation: 73+74=147, Resulting Numbers: [5, 90, 147] Generated Node #2: [5, 90, 147] from Operation: 73+74=147 Current State: 52:[5, 90, 147], Operations: ['73+74=147'] Exploring Operation: 5+90=95, Resulting Numbers: [147, 95] Generated Node #3: [147, 95] from Operation: 5+90=95 Current State: 52:[147, 95], Operations: ['73+74=147', '5+90=95'] Exploring Operation: 147-95=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 19, 47, 3, 25 ]
79
[ "19*3=57", "47-25=22", "57+22=79" ]
Current State: 79:[19, 47, 3, 25], Operations: [] Exploring Operation: 19*3=57, Resulting Numbers: [47, 25, 57] Generated Node #2: [47, 25, 57] from Operation: 19*3=57 Current State: 79:[47, 25, 57], Operations: ['19*3=57'] Exploring Operation: 47-25=22, Resulting Numbers: [57, 22] Generated Node #3: [57, 22] from Operation: 47-25=22 Current State: 79:[57, 22], Operations: ['19*3=57', '47-25=22'] Exploring Operation: 57+22=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 70, 13, 96, 42 ]
29
[ "70+13=83", "96-42=54", "83-54=29" ]
Current State: 29:[70, 13, 96, 42], Operations: [] Exploring Operation: 70+13=83, Resulting Numbers: [96, 42, 83] Generated Node #2: [96, 42, 83] from Operation: 70+13=83 Current State: 29:[96, 42, 83], Operations: ['70+13=83'] Exploring Operation: 96-42=54, Resulting Numbers: [83, 54] Generated Node #3: [83, 54] from Operation: 96-42=54 Current State: 29:[83, 54], Operations: ['70+13=83', '96-42=54'] Exploring Operation: 83-54=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 27, 42, 46, 34 ]
51
[ "27+42=69", "34*69=2346", "2346/46=51" ]
Current State: 51:[27, 42, 46, 34], Operations: [] Exploring Operation: 27+42=69, Resulting Numbers: [46, 34, 69] Generated Node #2: [46, 34, 69] from Operation: 27+42=69 Current State: 51:[46, 34, 69], Operations: ['27+42=69'] Exploring Operation: 34*69=2346, Resulting Numbers: [46, 2346] Generated Node #3: [46, 2346] from Operation: 34*69=2346 Current State: 51:[46, 2346], Operations: ['27+42=69', '34*69=2346'] Exploring Operation: 2346/46=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 66, 86, 42, 29 ]
51
[ "86-66=20", "42+29=71", "71-20=51" ]
Current State: 51:[66, 86, 42, 29], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [42, 29, 20] Generated Node #2: [42, 29, 20] from Operation: 86-66=20 Current State: 51:[42, 29, 20], Operations: ['86-66=20'] Exploring Operation: 42+29=71, Resulting Numbers: [20, 71] Generated Node #3: [20, 71] from Operation: 42+29=71 Current State: 51:[20, 71], Operations: ['86-66=20', '42+29=71'] Exploring Operation: 71-20=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 64, 68, 62, 6 ]
89
[ "64+62=126", "126/6=21", "68+21=89" ]
Current State: 89:[64, 68, 62, 6], Operations: [] Exploring Operation: 64+62=126, Resulting Numbers: [68, 6, 126] Generated Node #2: [68, 6, 126] from Operation: 64+62=126 Current State: 89:[68, 6, 126], Operations: ['64+62=126'] Exploring Operation: 126/6=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 126/6=21 Current State: 89:[68, 21], Operations: ['64+62=126', '126/6=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 77, 72, 13, 19 ]
65
[ "19-13=6", "72/6=12", "77-12=65" ]
Current State: 65:[77, 72, 13, 19], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [77, 72, 6] Generated Node #2: [77, 72, 6] from Operation: 19-13=6 Current State: 65:[77, 72, 6], Operations: ['19-13=6'] Exploring Operation: 72/6=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 72/6=12 Current State: 65:[77, 12], Operations: ['19-13=6', '72/6=12'] Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 39, 75, 48, 75 ]
88
[ "39+48=87", "75/75=1", "87+1=88" ]
Current State: 88:[39, 75, 48, 75], Operations: [] Exploring Operation: 39+48=87, Resulting Numbers: [75, 75, 87] Generated Node #2: [75, 75, 87] from Operation: 39+48=87 Current State: 88:[75, 75, 87], Operations: ['39+48=87'] Exploring Operation: 75/75=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 75/75=1 Current State: 88:[87, 1], Operations: ['39+48=87', '75/75=1'] Exploring Operation: 87+1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 8, 31, 41, 69 ]
87
[ "31-8=23", "41+69=110", "110-23=87" ]
Current State: 87:[8, 31, 41, 69], Operations: [] Exploring Operation: 31-8=23, Resulting Numbers: [41, 69, 23] Generated Node #2: [41, 69, 23] from Operation: 31-8=23 Current State: 87:[41, 69, 23], Operations: ['31-8=23'] Exploring Operation: 41+69=110, Resulting Numbers: [23, 110] Generated Node #3: [23, 110] from Operation: 41+69=110 Current State: 87:[23, 110], Operations: ['31-8=23', '41+69=110'] Exploring Operation: 110-23=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 91, 36, 31, 93 ]
49
[ "93-91=2", "36/2=18", "31+18=49" ]
Current State: 49:[91, 36, 31, 93], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [36, 31, 2] Generated Node #2: [36, 31, 2] from Operation: 93-91=2 Current State: 49:[36, 31, 2], Operations: ['93-91=2'] Exploring Operation: 36/2=18, Resulting Numbers: [31, 18] Generated Node #3: [31, 18] from Operation: 36/2=18 Current State: 49:[31, 18], Operations: ['93-91=2', '36/2=18'] Exploring Operation: 31+18=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 10, 78, 17, 23 ]
27
[ "78-10=68", "68/17=4", "23+4=27" ]
Current State: 27:[10, 78, 17, 23], Operations: [] Exploring Operation: 78-10=68, Resulting Numbers: [17, 23, 68] Generated Node #2: [17, 23, 68] from Operation: 78-10=68 Current State: 27:[17, 23, 68], Operations: ['78-10=68'] Exploring Operation: 68/17=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 68/17=4 Current State: 27:[23, 4], Operations: ['78-10=68', '68/17=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 24, 49, 78, 69 ]
16
[ "49-24=25", "78-69=9", "25-9=16" ]
Current State: 16:[24, 49, 78, 69], Operations: [] Exploring Operation: 49-24=25, Resulting Numbers: [78, 69, 25] Generated Node #2: [78, 69, 25] from Operation: 49-24=25 Current State: 16:[78, 69, 25], Operations: ['49-24=25'] Exploring Operation: 78-69=9, Resulting Numbers: [25, 9] Generated Node #3: [25, 9] from Operation: 78-69=9 Current State: 16:[25, 9], Operations: ['49-24=25', '78-69=9'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 13, 9, 3, 7 ]
70
[ "9/3=3", "13-3=10", "7*10=70" ]
Current State: 70:[13, 9, 3, 7], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [13, 7, 3] Generated Node #2: [13, 7, 3] from Operation: 9/3=3 Current State: 70:[13, 7, 3], Operations: ['9/3=3'] Exploring Operation: 13-3=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 13-3=10 Current State: 70:[7, 10], Operations: ['9/3=3', '13-3=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 1, 42, 32, 74 ]
64
[ "1*42=42", "32+74=106", "106-42=64" ]
Current State: 64:[1, 42, 32, 74], Operations: [] Exploring Operation: 1*42=42, Resulting Numbers: [32, 74, 42] Generated Node #2: [32, 74, 42] from Operation: 1*42=42 Current State: 64:[32, 74, 42], Operations: ['1*42=42'] Exploring Operation: 32+74=106, Resulting Numbers: [42, 106] Generated Node #3: [42, 106] from Operation: 32+74=106 Current State: 64:[42, 106], Operations: ['1*42=42', '32+74=106'] Exploring Operation: 106-42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 63, 2, 53, 1 ]
59
[ "63+53=116", "116/2=58", "1+58=59" ]
Current State: 59:[63, 2, 53, 1], Operations: [] Exploring Operation: 63+53=116, Resulting Numbers: [2, 1, 116] Generated Node #2: [2, 1, 116] from Operation: 63+53=116 Current State: 59:[2, 1, 116], Operations: ['63+53=116'] Exploring Operation: 116/2=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 116/2=58 Current State: 59:[1, 58], Operations: ['63+53=116', '116/2=58'] Exploring Operation: 1+58=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 55, 8, 2, 56 ]
96
[ "56/8=7", "55-7=48", "2*48=96" ]
Current State: 96:[55, 8, 2, 56], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [55, 2, 7] Generated Node #2: [55, 2, 7] from Operation: 56/8=7 Current State: 96:[55, 2, 7], Operations: ['56/8=7'] Exploring Operation: 55-7=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 55-7=48 Current State: 96:[2, 48], Operations: ['56/8=7', '55-7=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 49, 65, 79 ]
67
[ "19+79=98", "98/49=2", "65+2=67" ]
Current State: 67:[19, 49, 65, 79], Operations: [] Exploring Operation: 19+79=98, Resulting Numbers: [49, 65, 98] Generated Node #2: [49, 65, 98] from Operation: 19+79=98 Current State: 67:[49, 65, 98], Operations: ['19+79=98'] Exploring Operation: 98/49=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 98/49=2 Current State: 67:[65, 2], Operations: ['19+79=98', '98/49=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 11, 85, 74 ]
53
[ "85-11=74", "74/74=1", "54-1=53" ]
Current State: 53:[54, 11, 85, 74], Operations: [] Exploring Operation: 85-11=74, Resulting Numbers: [54, 74, 74] Generated Node #2: [54, 74, 74] from Operation: 85-11=74 Current State: 53:[54, 74, 74], Operations: ['85-11=74'] Exploring Operation: 74/74=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 74/74=1 Current State: 53:[54, 1], Operations: ['85-11=74', '74/74=1'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 64, 12, 64 ]
53
[ "87-64=23", "12+64=76", "76-23=53" ]
Current State: 53:[87, 64, 12, 64], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [12, 23] Generated Node #2: [12, 23] from Operation: 87-64=23 Current State: 53:[12, 23], Operations: ['87-64=23'] Exploring Operation: 12+64=76, Resulting Numbers: [23, 76] Generated Node #3: [23, 76] from Operation: 12+64=76 Current State: 53:[23, 76], Operations: ['87-64=23', '12+64=76'] Exploring Operation: 76-23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 36, 56, 69, 69 ]
91
[ "36+56=92", "69/69=1", "92-1=91" ]
Current State: 91:[36, 56, 69, 69], Operations: [] Exploring Operation: 36+56=92, Resulting Numbers: [69, 69, 92] Generated Node #2: [69, 69, 92] from Operation: 36+56=92 Current State: 91:[69, 69, 92], Operations: ['36+56=92'] Exploring Operation: 69/69=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 69/69=1 Current State: 91:[92, 1], Operations: ['36+56=92', '69/69=1'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 25, 44, 44, 74 ]
39
[ "25+44=69", "74-44=30", "69-30=39" ]
Current State: 39:[25, 44, 44, 74], Operations: [] Exploring Operation: 25+44=69, Resulting Numbers: [74, 69] Generated Node #2: [74, 69] from Operation: 25+44=69 Current State: 39:[74, 69], Operations: ['25+44=69'] Exploring Operation: 74-44=30, Resulting Numbers: [69, 30] Generated Node #3: [69, 30] from Operation: 74-44=30 Current State: 39:[69, 30], Operations: ['25+44=69', '74-44=30'] Exploring Operation: 69-30=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 31, 65, 13 ]
32
[ "58-31=27", "65/13=5", "27+5=32" ]
Current State: 32:[58, 31, 65, 13], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [65, 13, 27] Generated Node #2: [65, 13, 27] from Operation: 58-31=27 Current State: 32:[65, 13, 27], Operations: ['58-31=27'] Exploring Operation: 65/13=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 65/13=5 Current State: 32:[27, 5], Operations: ['58-31=27', '65/13=5'] Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 44, 72, 84, 4 ]
92
[ "84-72=12", "4*12=48", "44+48=92" ]
Current State: 92:[44, 72, 84, 4], Operations: [] Exploring Operation: 84-72=12, Resulting Numbers: [44, 4, 12] Generated Node #2: [44, 4, 12] from Operation: 84-72=12 Current State: 92:[44, 4, 12], Operations: ['84-72=12'] Exploring Operation: 4*12=48, Resulting Numbers: [44, 48] Generated Node #3: [44, 48] from Operation: 4*12=48 Current State: 92:[44, 48], Operations: ['84-72=12', '4*12=48'] Exploring Operation: 44+48=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 56, 51, 40, 7 ]
38
[ "56-51=5", "40-7=33", "5+33=38" ]
Current State: 38:[56, 51, 40, 7], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [40, 7, 5] Generated Node #2: [40, 7, 5] from Operation: 56-51=5 Current State: 38:[40, 7, 5], Operations: ['56-51=5'] Exploring Operation: 40-7=33, Resulting Numbers: [5, 33] Generated Node #3: [5, 33] from Operation: 40-7=33 Current State: 38:[5, 33], Operations: ['56-51=5', '40-7=33'] Exploring Operation: 5+33=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 29, 45, 57, 22 ]
51
[ "29*45=1305", "57*22=1254", "1305-1254=51" ]
Current State: 51:[29, 45, 57, 22], Operations: [] Exploring Operation: 29*45=1305, Resulting Numbers: [57, 22, 1305] Generated Node #2: [57, 22, 1305] from Operation: 29*45=1305 Current State: 51:[57, 22, 1305], Operations: ['29*45=1305'] Exploring Operation: 57*22=1254, Resulting Numbers: [1305, 1254] Generated Node #3: [1305, 1254] from Operation: 57*22=1254 Current State: 51:[1305, 1254], Operations: ['29*45=1305', '57*22=1254'] Exploring Operation: 1305-1254=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 4, 11, 28 ]
86
[ "73-4=69", "28-11=17", "69+17=86" ]
Current State: 86:[73, 4, 11, 28], Operations: [] Exploring Operation: 73-4=69, Resulting Numbers: [11, 28, 69] Generated Node #2: [11, 28, 69] from Operation: 73-4=69 Current State: 86:[11, 28, 69], Operations: ['73-4=69'] Exploring Operation: 28-11=17, Resulting Numbers: [69, 17] Generated Node #3: [69, 17] from Operation: 28-11=17 Current State: 86:[69, 17], Operations: ['73-4=69', '28-11=17'] Exploring Operation: 69+17=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 96, 8, 17, 10 ]
77
[ "96+8=104", "17+10=27", "104-27=77" ]
Current State: 77:[96, 8, 17, 10], Operations: [] Exploring Operation: 96+8=104, Resulting Numbers: [17, 10, 104] Generated Node #2: [17, 10, 104] from Operation: 96+8=104 Current State: 77:[17, 10, 104], Operations: ['96+8=104'] Exploring Operation: 17+10=27, Resulting Numbers: [104, 27] Generated Node #3: [104, 27] from Operation: 17+10=27 Current State: 77:[104, 27], Operations: ['96+8=104', '17+10=27'] Exploring Operation: 104-27=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 62, 33, 91, 63 ]
93
[ "91*63=5733", "33+5733=5766", "5766/62=93" ]
Current State: 93:[62, 33, 91, 63], Operations: [] Exploring Operation: 91*63=5733, Resulting Numbers: [62, 33, 5733] Generated Node #2: [62, 33, 5733] from Operation: 91*63=5733 Current State: 93:[62, 33, 5733], Operations: ['91*63=5733'] Exploring Operation: 33+5733=5766, Resulting Numbers: [62, 5766] Generated Node #3: [62, 5766] from Operation: 33+5733=5766 Current State: 93:[62, 5766], Operations: ['91*63=5733', '33+5733=5766'] Exploring Operation: 5766/62=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 81, 48, 6, 75 ]
49
[ "81-6=75", "75/75=1", "48+1=49" ]
Current State: 49:[81, 48, 6, 75], Operations: [] Exploring Operation: 81-6=75, Resulting Numbers: [48, 75, 75] Generated Node #2: [48, 75, 75] from Operation: 81-6=75 Current State: 49:[48, 75, 75], Operations: ['81-6=75'] Exploring Operation: 75/75=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 75/75=1 Current State: 49:[48, 1], Operations: ['81-6=75', '75/75=1'] Exploring Operation: 48+1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 62, 83, 62, 97 ]
14
[ "62+83=145", "62+97=159", "159-145=14" ]
Current State: 14:[62, 83, 62, 97], Operations: [] Exploring Operation: 62+83=145, Resulting Numbers: [97, 145] Generated Node #2: [97, 145] from Operation: 62+83=145 Current State: 14:[97, 145], Operations: ['62+83=145'] Exploring Operation: 62+97=159, Resulting Numbers: [145, 159] Generated Node #3: [145, 159] from Operation: 62+97=159 Current State: 14:[145, 159], Operations: ['62+83=145', '62+97=159'] Exploring Operation: 159-145=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 64, 44, 64, 91 ]
48
[ "64/64=1", "91-44=47", "1+47=48" ]
Current State: 48:[64, 44, 64, 91], Operations: [] Exploring Operation: 64/64=1, Resulting Numbers: [44, 91, 1] Generated Node #2: [44, 91, 1] from Operation: 64/64=1 Current State: 48:[44, 91, 1], Operations: ['64/64=1'] Exploring Operation: 91-44=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 91-44=47 Current State: 48:[1, 47], Operations: ['64/64=1', '91-44=47'] Exploring Operation: 1+47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 36, 62, 86, 80 ]
56
[ "86-80=6", "36/6=6", "62-6=56" ]
Current State: 56:[36, 62, 86, 80], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [36, 62, 6] Generated Node #2: [36, 62, 6] from Operation: 86-80=6 Current State: 56:[36, 62, 6], Operations: ['86-80=6'] Exploring Operation: 36/6=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 36/6=6 Current State: 56:[62, 6], Operations: ['86-80=6', '36/6=6'] Exploring Operation: 62-6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 50, 36, 16, 2 ]
53
[ "50-16=34", "34/2=17", "36+17=53" ]
Current State: 53:[50, 36, 16, 2], Operations: [] Exploring Operation: 50-16=34, Resulting Numbers: [36, 2, 34] Generated Node #2: [36, 2, 34] from Operation: 50-16=34 Current State: 53:[36, 2, 34], Operations: ['50-16=34'] Exploring Operation: 34/2=17, Resulting Numbers: [36, 17] Generated Node #3: [36, 17] from Operation: 34/2=17 Current State: 53:[36, 17], Operations: ['50-16=34', '34/2=17'] Exploring Operation: 36+17=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 14, 25, 20, 33 ]
64
[ "25-14=11", "20+33=53", "11+53=64" ]
Current State: 64:[14, 25, 20, 33], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [20, 33, 11] Generated Node #2: [20, 33, 11] from Operation: 25-14=11 Current State: 64:[20, 33, 11], Operations: ['25-14=11'] Exploring Operation: 20+33=53, Resulting Numbers: [11, 53] Generated Node #3: [11, 53] from Operation: 20+33=53 Current State: 64:[11, 53], Operations: ['25-14=11', '20+33=53'] Exploring Operation: 11+53=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 4, 5, 75, 14 ]
51
[ "4+5=9", "14*9=126", "126-75=51" ]
Current State: 51:[4, 5, 75, 14], Operations: [] Exploring Operation: 4+5=9, Resulting Numbers: [75, 14, 9] Generated Node #2: [75, 14, 9] from Operation: 4+5=9 Current State: 51:[75, 14, 9], Operations: ['4+5=9'] Exploring Operation: 14*9=126, Resulting Numbers: [75, 126] Generated Node #3: [75, 126] from Operation: 14*9=126 Current State: 51:[75, 126], Operations: ['4+5=9', '14*9=126'] Exploring Operation: 126-75=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 15, 4, 89, 11 ]
88
[ "15-4=11", "11/11=1", "89-1=88" ]
Current State: 88:[15, 4, 89, 11], Operations: [] Exploring Operation: 15-4=11, Resulting Numbers: [89, 11, 11] Generated Node #2: [89, 11, 11] from Operation: 15-4=11 Current State: 88:[89, 11, 11], Operations: ['15-4=11'] Exploring Operation: 11/11=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 11/11=1 Current State: 88:[89, 1], Operations: ['15-4=11', '11/11=1'] Exploring Operation: 89-1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 23, 9, 77, 58 ]
38
[ "77+58=135", "135/9=15", "23+15=38" ]
Current State: 38:[23, 9, 77, 58], Operations: [] Exploring Operation: 77+58=135, Resulting Numbers: [23, 9, 135] Generated Node #2: [23, 9, 135] from Operation: 77+58=135 Current State: 38:[23, 9, 135], Operations: ['77+58=135'] Exploring Operation: 135/9=15, Resulting Numbers: [23, 15] Generated Node #3: [23, 15] from Operation: 135/9=15 Current State: 38:[23, 15], Operations: ['77+58=135', '135/9=15'] Exploring Operation: 23+15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 79, 42, 18, 46 ]
65
[ "79-42=37", "46-18=28", "37+28=65" ]
Current State: 65:[79, 42, 18, 46], Operations: [] Exploring Operation: 79-42=37, Resulting Numbers: [18, 46, 37] Generated Node #2: [18, 46, 37] from Operation: 79-42=37 Current State: 65:[18, 46, 37], Operations: ['79-42=37'] Exploring Operation: 46-18=28, Resulting Numbers: [37, 28] Generated Node #3: [37, 28] from Operation: 46-18=28 Current State: 65:[37, 28], Operations: ['79-42=37', '46-18=28'] Exploring Operation: 37+28=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 11, 79, 69, 59 ]
59
[ "79-11=68", "69-68=1", "59*1=59" ]
Current State: 59:[11, 79, 69, 59], Operations: [] Exploring Operation: 79-11=68, Resulting Numbers: [69, 59, 68] Generated Node #2: [69, 59, 68] from Operation: 79-11=68 Current State: 59:[69, 59, 68], Operations: ['79-11=68'] Exploring Operation: 69-68=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 69-68=1 Current State: 59:[59, 1], Operations: ['79-11=68', '69-68=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 48, 64, 24, 94 ]
15
[ "48/24=2", "94-64=30", "30/2=15" ]
Current State: 15:[48, 64, 24, 94], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [64, 94, 2] Generated Node #2: [64, 94, 2] from Operation: 48/24=2 Current State: 15:[64, 94, 2], Operations: ['48/24=2'] Exploring Operation: 94-64=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 94-64=30 Current State: 15:[2, 30], Operations: ['48/24=2', '94-64=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 73, 43, 55, 1 ]
85
[ "73-43=30", "55*1=55", "30+55=85" ]
Current State: 85:[73, 43, 55, 1], Operations: [] Exploring Operation: 73-43=30, Resulting Numbers: [55, 1, 30] Generated Node #2: [55, 1, 30] from Operation: 73-43=30 Current State: 85:[55, 1, 30], Operations: ['73-43=30'] Exploring Operation: 55*1=55, Resulting Numbers: [30, 55] Generated Node #3: [30, 55] from Operation: 55*1=55 Current State: 85:[30, 55], Operations: ['73-43=30', '55*1=55'] Exploring Operation: 30+55=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 1, 30, 13 ]
95
[ "4+1=5", "13*5=65", "30+65=95" ]
Current State: 95:[4, 1, 30, 13], Operations: [] Exploring Operation: 4+1=5, Resulting Numbers: [30, 13, 5] Generated Node #2: [30, 13, 5] from Operation: 4+1=5 Current State: 95:[30, 13, 5], Operations: ['4+1=5'] Exploring Operation: 13*5=65, Resulting Numbers: [30, 65] Generated Node #3: [30, 65] from Operation: 13*5=65 Current State: 95:[30, 65], Operations: ['4+1=5', '13*5=65'] Exploring Operation: 30+65=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 26, 52, 23 ]
45
[ "34*52=1768", "1768/26=68", "68-23=45" ]
Current State: 45:[34, 26, 52, 23], Operations: [] Exploring Operation: 34*52=1768, Resulting Numbers: [26, 23, 1768] Generated Node #2: [26, 23, 1768] from Operation: 34*52=1768 Current State: 45:[26, 23, 1768], Operations: ['34*52=1768'] Exploring Operation: 1768/26=68, Resulting Numbers: [23, 68] Generated Node #3: [23, 68] from Operation: 1768/26=68 Current State: 45:[23, 68], Operations: ['34*52=1768', '1768/26=68'] Exploring Operation: 68-23=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 43, 14, 2, 5 ]
20
[ "43*2=86", "14+86=100", "100/5=20" ]
Current State: 20:[43, 14, 2, 5], Operations: [] Exploring Operation: 43*2=86, Resulting Numbers: [14, 5, 86] Generated Node #2: [14, 5, 86] from Operation: 43*2=86 Current State: 20:[14, 5, 86], Operations: ['43*2=86'] Exploring Operation: 14+86=100, Resulting Numbers: [5, 100] Generated Node #3: [5, 100] from Operation: 14+86=100 Current State: 20:[5, 100], Operations: ['43*2=86', '14+86=100'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 40, 8, 61 ]
25
[ "68-40=28", "61-8=53", "53-28=25" ]
Current State: 25:[68, 40, 8, 61], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [8, 61, 28] Generated Node #2: [8, 61, 28] from Operation: 68-40=28 Current State: 25:[8, 61, 28], Operations: ['68-40=28'] Exploring Operation: 61-8=53, Resulting Numbers: [28, 53] Generated Node #3: [28, 53] from Operation: 61-8=53 Current State: 25:[28, 53], Operations: ['68-40=28', '61-8=53'] Exploring Operation: 53-28=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 85, 10, 83, 77 ]
72
[ "85-83=2", "10/2=5", "77-5=72" ]
Current State: 72:[85, 10, 83, 77], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [10, 77, 2] Generated Node #2: [10, 77, 2] from Operation: 85-83=2 Current State: 72:[10, 77, 2], Operations: ['85-83=2'] Exploring Operation: 10/2=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 10/2=5 Current State: 72:[77, 5], Operations: ['85-83=2', '10/2=5'] Exploring Operation: 77-5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 13, 80, 85, 96 ]
40
[ "13+85=98", "98-96=2", "80/2=40" ]
Current State: 40:[13, 80, 85, 96], Operations: [] Exploring Operation: 13+85=98, Resulting Numbers: [80, 96, 98] Generated Node #2: [80, 96, 98] from Operation: 13+85=98 Current State: 40:[80, 96, 98], Operations: ['13+85=98'] Exploring Operation: 98-96=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 98-96=2 Current State: 40:[80, 2], Operations: ['13+85=98', '98-96=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 51, 71, 68 ]
90
[ "51-2=49", "71+68=139", "139-49=90" ]
Current State: 90:[2, 51, 71, 68], Operations: [] Exploring Operation: 51-2=49, Resulting Numbers: [71, 68, 49] Generated Node #2: [71, 68, 49] from Operation: 51-2=49 Current State: 90:[71, 68, 49], Operations: ['51-2=49'] Exploring Operation: 71+68=139, Resulting Numbers: [49, 139] Generated Node #3: [49, 139] from Operation: 71+68=139 Current State: 90:[49, 139], Operations: ['51-2=49', '71+68=139'] Exploring Operation: 139-49=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 19, 4, 41, 82 ]
35
[ "19*4=76", "82-41=41", "76-41=35" ]
Current State: 35:[19, 4, 41, 82], Operations: [] Exploring Operation: 19*4=76, Resulting Numbers: [41, 82, 76] Generated Node #2: [41, 82, 76] from Operation: 19*4=76 Current State: 35:[41, 82, 76], Operations: ['19*4=76'] Exploring Operation: 82-41=41, Resulting Numbers: [76, 41] Generated Node #3: [76, 41] from Operation: 82-41=41 Current State: 35:[76, 41], Operations: ['19*4=76', '82-41=41'] Exploring Operation: 76-41=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 17, 99, 50, 82 ]
16
[ "17+99=116", "50+82=132", "132-116=16" ]
Current State: 16:[17, 99, 50, 82], Operations: [] Exploring Operation: 17+99=116, Resulting Numbers: [50, 82, 116] Generated Node #2: [50, 82, 116] from Operation: 17+99=116 Current State: 16:[50, 82, 116], Operations: ['17+99=116'] Exploring Operation: 50+82=132, Resulting Numbers: [116, 132] Generated Node #3: [116, 132] from Operation: 50+82=132 Current State: 16:[116, 132], Operations: ['17+99=116', '50+82=132'] Exploring Operation: 132-116=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 92, 16, 90, 69 ]
97
[ "92-16=76", "90-69=21", "76+21=97" ]
Current State: 97:[92, 16, 90, 69], Operations: [] Exploring Operation: 92-16=76, Resulting Numbers: [90, 69, 76] Generated Node #2: [90, 69, 76] from Operation: 92-16=76 Current State: 97:[90, 69, 76], Operations: ['92-16=76'] Exploring Operation: 90-69=21, Resulting Numbers: [76, 21] Generated Node #3: [76, 21] from Operation: 90-69=21 Current State: 97:[76, 21], Operations: ['92-16=76', '90-69=21'] Exploring Operation: 76+21=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 80, 59, 3, 56 ]
71
[ "59-56=3", "3*3=9", "80-9=71" ]
Current State: 71:[80, 59, 3, 56], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [80, 3, 3] Generated Node #2: [80, 3, 3] from Operation: 59-56=3 Current State: 71:[80, 3, 3], Operations: ['59-56=3'] Exploring Operation: 3*3=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 3*3=9 Current State: 71:[80, 9], Operations: ['59-56=3', '3*3=9'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 21, 22, 49, 7 ]
85
[ "21+22=43", "49-7=42", "43+42=85" ]
Current State: 85:[21, 22, 49, 7], Operations: [] Exploring Operation: 21+22=43, Resulting Numbers: [49, 7, 43] Generated Node #2: [49, 7, 43] from Operation: 21+22=43 Current State: 85:[49, 7, 43], Operations: ['21+22=43'] Exploring Operation: 49-7=42, Resulting Numbers: [43, 42] Generated Node #3: [43, 42] from Operation: 49-7=42 Current State: 85:[43, 42], Operations: ['21+22=43', '49-7=42'] Exploring Operation: 43+42=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 46, 59, 24, 37 ]
44
[ "46+59=105", "24+37=61", "105-61=44" ]
Current State: 44:[46, 59, 24, 37], Operations: [] Exploring Operation: 46+59=105, Resulting Numbers: [24, 37, 105] Generated Node #2: [24, 37, 105] from Operation: 46+59=105 Current State: 44:[24, 37, 105], Operations: ['46+59=105'] Exploring Operation: 24+37=61, Resulting Numbers: [105, 61] Generated Node #3: [105, 61] from Operation: 24+37=61 Current State: 44:[105, 61], Operations: ['46+59=105', '24+37=61'] Exploring Operation: 105-61=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 18, 11, 16 ]
79
[ "18+16=34", "2*34=68", "11+68=79" ]
Current State: 79:[2, 18, 11, 16], Operations: [] Exploring Operation: 18+16=34, Resulting Numbers: [2, 11, 34] Generated Node #2: [2, 11, 34] from Operation: 18+16=34 Current State: 79:[2, 11, 34], Operations: ['18+16=34'] Exploring Operation: 2*34=68, Resulting Numbers: [11, 68] Generated Node #3: [11, 68] from Operation: 2*34=68 Current State: 79:[11, 68], Operations: ['18+16=34', '2*34=68'] Exploring Operation: 11+68=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 61, 80, 8, 78 ]
71
[ "61+80=141", "78-8=70", "141-70=71" ]
Current State: 71:[61, 80, 8, 78], Operations: [] Exploring Operation: 61+80=141, Resulting Numbers: [8, 78, 141] Generated Node #2: [8, 78, 141] from Operation: 61+80=141 Current State: 71:[8, 78, 141], Operations: ['61+80=141'] Exploring Operation: 78-8=70, Resulting Numbers: [141, 70] Generated Node #3: [141, 70] from Operation: 78-8=70 Current State: 71:[141, 70], Operations: ['61+80=141', '78-8=70'] Exploring Operation: 141-70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 79, 48, 85, 8 ]
46
[ "79-48=31", "85-8=77", "77-31=46" ]
Current State: 46:[79, 48, 85, 8], Operations: [] Exploring Operation: 79-48=31, Resulting Numbers: [85, 8, 31] Generated Node #2: [85, 8, 31] from Operation: 79-48=31 Current State: 46:[85, 8, 31], Operations: ['79-48=31'] Exploring Operation: 85-8=77, Resulting Numbers: [31, 77] Generated Node #3: [31, 77] from Operation: 85-8=77 Current State: 46:[31, 77], Operations: ['79-48=31', '85-8=77'] Exploring Operation: 77-31=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 26, 53, 72 ]
55
[ "72-20=52", "52/26=2", "53+2=55" ]
Current State: 55:[20, 26, 53, 72], Operations: [] Exploring Operation: 72-20=52, Resulting Numbers: [26, 53, 52] Generated Node #2: [26, 53, 52] from Operation: 72-20=52 Current State: 55:[26, 53, 52], Operations: ['72-20=52'] Exploring Operation: 52/26=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 52/26=2 Current State: 55:[53, 2], Operations: ['72-20=52', '52/26=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 45, 53, 25, 15 ]
26
[ "45*15=675", "675/25=27", "53-27=26" ]
Current State: 26:[45, 53, 25, 15], Operations: [] Exploring Operation: 45*15=675, Resulting Numbers: [53, 25, 675] Generated Node #2: [53, 25, 675] from Operation: 45*15=675 Current State: 26:[53, 25, 675], Operations: ['45*15=675'] Exploring Operation: 675/25=27, Resulting Numbers: [53, 27] Generated Node #3: [53, 27] from Operation: 675/25=27 Current State: 26:[53, 27], Operations: ['45*15=675', '675/25=27'] Exploring Operation: 53-27=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 5, 64, 46, 26 ]
40
[ "64-46=18", "26-18=8", "5*8=40" ]
Current State: 40:[5, 64, 46, 26], Operations: [] Exploring Operation: 64-46=18, Resulting Numbers: [5, 26, 18] Generated Node #2: [5, 26, 18] from Operation: 64-46=18 Current State: 40:[5, 26, 18], Operations: ['64-46=18'] Exploring Operation: 26-18=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 26-18=8 Current State: 40:[5, 8], Operations: ['64-46=18', '26-18=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 96, 82, 20 ]
12
[ "82-70=12", "96/12=8", "20-8=12" ]
Current State: 12:[70, 96, 82, 20], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [96, 20, 12] Generated Node #2: [96, 20, 12] from Operation: 82-70=12 Current State: 12:[96, 20, 12], Operations: ['82-70=12'] Exploring Operation: 96/12=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 96/12=8 Current State: 12:[20, 8], Operations: ['82-70=12', '96/12=8'] Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 28, 68, 35, 63 ]
35
[ "35-28=7", "68-63=5", "7*5=35" ]
Current State: 35:[28, 68, 35, 63], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [68, 63, 7] Generated Node #2: [68, 63, 7] from Operation: 35-28=7 Current State: 35:[68, 63, 7], Operations: ['35-28=7'] Exploring Operation: 68-63=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 68-63=5 Current State: 35:[7, 5], Operations: ['35-28=7', '68-63=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 86, 84, 23, 59 ]
18
[ "86-84=2", "59-23=36", "36/2=18" ]
Current State: 18:[86, 84, 23, 59], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [23, 59, 2] Generated Node #2: [23, 59, 2] from Operation: 86-84=2 Current State: 18:[23, 59, 2], Operations: ['86-84=2'] Exploring Operation: 59-23=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 59-23=36 Current State: 18:[2, 36], Operations: ['86-84=2', '59-23=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 72, 49, 66, 9 ]
34
[ "72-49=23", "66-9=57", "57-23=34" ]
Current State: 34:[72, 49, 66, 9], Operations: [] Exploring Operation: 72-49=23, Resulting Numbers: [66, 9, 23] Generated Node #2: [66, 9, 23] from Operation: 72-49=23 Current State: 34:[66, 9, 23], Operations: ['72-49=23'] Exploring Operation: 66-9=57, Resulting Numbers: [23, 57] Generated Node #3: [23, 57] from Operation: 66-9=57 Current State: 34:[23, 57], Operations: ['72-49=23', '66-9=57'] Exploring Operation: 57-23=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 60, 11, 40 ]
12
[ "24+11=35", "40-35=5", "60/5=12" ]
Current State: 12:[24, 60, 11, 40], Operations: [] Exploring Operation: 24+11=35, Resulting Numbers: [60, 40, 35] Generated Node #2: [60, 40, 35] from Operation: 24+11=35 Current State: 12:[60, 40, 35], Operations: ['24+11=35'] Exploring Operation: 40-35=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 40-35=5 Current State: 12:[60, 5], Operations: ['24+11=35', '40-35=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 47, 32, 93 ]
99
[ "47-41=6", "32*6=192", "192-93=99" ]
Current State: 99:[41, 47, 32, 93], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [32, 93, 6] Generated Node #2: [32, 93, 6] from Operation: 47-41=6 Current State: 99:[32, 93, 6], Operations: ['47-41=6'] Exploring Operation: 32*6=192, Resulting Numbers: [93, 192] Generated Node #3: [93, 192] from Operation: 32*6=192 Current State: 99:[93, 192], Operations: ['47-41=6', '32*6=192'] Exploring Operation: 192-93=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4