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
[ 43, 16, 2, 5 ]
70
[ "43-5=38", "16*2=32", "38+32=70" ]
Current State: 70:[43, 16, 2, 5], Operations: [] Exploring Operation: 43-5=38, Resulting Numbers: [16, 2, 38] Generated Node #2: [16, 2, 38] from Operation: 43-5=38 Current State: 70:[16, 2, 38], Operations: ['43-5=38'] Exploring Operation: 16*2=32, Resulting Numbers: [38, 32] Generated Node #3: [38, 32] from Operation: 16*2=32 Current State: 70:[38, 32], Operations: ['43-5=38', '16*2=32'] Exploring Operation: 38+32=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 37, 22, 59, 68 ]
50
[ "37+22=59", "68-59=9", "59-9=50" ]
Current State: 50:[37, 22, 59, 68], Operations: [] Exploring Operation: 37+22=59, Resulting Numbers: [59, 68, 59] Generated Node #2: [59, 68, 59] from Operation: 37+22=59 Current State: 50:[59, 68, 59], Operations: ['37+22=59'] Exploring Operation: 68-59=9, Resulting Numbers: [9] 9,50 equal: Goal Reached Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 55, 52, 17 ]
94
[ "30*55=1650", "1650-52=1598", "1598/17=94" ]
Current State: 94:[30, 55, 52, 17], Operations: [] Exploring Operation: 30*55=1650, Resulting Numbers: [52, 17, 1650] Generated Node #2: [52, 17, 1650] from Operation: 30*55=1650 Current State: 94:[52, 17, 1650], Operations: ['30*55=1650'] Exploring Operation: 1650-52=1598, Resulting Numbers: [17, 1598] Generated Node #3: [17, 1598] from Operation: 1650-52=1598 Current State: 94:[17, 1598], Operations: ['30*55=1650', '1650-52=1598'] Exploring Operation: 1598/17=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 92, 25, 23, 89 ]
86
[ "25-23=2", "89*2=178", "178-92=86" ]
Current State: 86:[92, 25, 23, 89], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [92, 89, 2] Generated Node #2: [92, 89, 2] from Operation: 25-23=2 Current State: 86:[92, 89, 2], Operations: ['25-23=2'] Exploring Operation: 89*2=178, Resulting Numbers: [92, 178] Generated Node #3: [92, 178] from Operation: 89*2=178 Current State: 86:[92, 178], Operations: ['25-23=2', '89*2=178'] Exploring Operation: 178-92=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 46, 28, 57, 2 ]
89
[ "46+57=103", "28/2=14", "103-14=89" ]
Current State: 89:[46, 28, 57, 2], Operations: [] Exploring Operation: 46+57=103, Resulting Numbers: [28, 2, 103] Generated Node #2: [28, 2, 103] from Operation: 46+57=103 Current State: 89:[28, 2, 103], Operations: ['46+57=103'] Exploring Operation: 28/2=14, Resulting Numbers: [103, 14] Generated Node #3: [103, 14] from Operation: 28/2=14 Current State: 89:[103, 14], Operations: ['46+57=103', '28/2=14'] Exploring Operation: 103-14=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 26, 48, 78, 78 ]
48
[ "78-78=0", "26*0=0", "48+0=48" ]
Current State: 48:[26, 48, 78, 78], Operations: [] Exploring Operation: 78-78=0, Resulting Numbers: [26, 48, 0] Generated Node #2: [26, 48, 0] from Operation: 78-78=0 Current State: 48:[26, 48, 0], Operations: ['78-78=0'] Exploring Operation: 26*0=0, Resulting Numbers: [48, 0] Generated Node #3: [48, 0] from Operation: 26*0=0 Current State: 48:[48, 0], Operations: ['78-78=0', '26*0=0'] Exploring Operation: 48+0=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 99, 31, 60, 91 ]
42
[ "99+31=130", "60*91=5460", "5460/130=42" ]
Current State: 42:[99, 31, 60, 91], Operations: [] Exploring Operation: 99+31=130, Resulting Numbers: [60, 91, 130] Generated Node #2: [60, 91, 130] from Operation: 99+31=130 Current State: 42:[60, 91, 130], Operations: ['99+31=130'] Exploring Operation: 60*91=5460, Resulting Numbers: [130, 5460] Generated Node #3: [130, 5460] from Operation: 60*91=5460 Current State: 42:[130, 5460], Operations: ['99+31=130', '60*91=5460'] Exploring Operation: 5460/130=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 51, 9, 48 ]
14
[ "2+51=53", "48-9=39", "53-39=14" ]
Current State: 14:[2, 51, 9, 48], Operations: [] Exploring Operation: 2+51=53, Resulting Numbers: [9, 48, 53] Generated Node #2: [9, 48, 53] from Operation: 2+51=53 Current State: 14:[9, 48, 53], Operations: ['2+51=53'] Exploring Operation: 48-9=39, Resulting Numbers: [53, 39] Generated Node #3: [53, 39] from Operation: 48-9=39 Current State: 14:[53, 39], Operations: ['2+51=53', '48-9=39'] Exploring Operation: 53-39=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 32, 82, 78 ]
55
[ "27+32=59", "82-78=4", "59-4=55" ]
Current State: 55:[27, 32, 82, 78], Operations: [] Exploring Operation: 27+32=59, Resulting Numbers: [82, 78, 59] Generated Node #2: [82, 78, 59] from Operation: 27+32=59 Current State: 55:[82, 78, 59], Operations: ['27+32=59'] Exploring Operation: 82-78=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 82-78=4 Current State: 55:[59, 4], Operations: ['27+32=59', '82-78=4'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 81, 72, 50, 85 ]
18
[ "81+72=153", "50+85=135", "153-135=18" ]
Current State: 18:[81, 72, 50, 85], Operations: [] Exploring Operation: 81+72=153, Resulting Numbers: [50, 85, 153] Generated Node #2: [50, 85, 153] from Operation: 81+72=153 Current State: 18:[50, 85, 153], Operations: ['81+72=153'] Exploring Operation: 50+85=135, Resulting Numbers: [153, 135] Generated Node #3: [153, 135] from Operation: 50+85=135 Current State: 18:[153, 135], Operations: ['81+72=153', '50+85=135'] Exploring Operation: 153-135=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 76, 79, 16, 37 ]
12
[ "76+79=155", "37+155=192", "192/16=12" ]
Current State: 12:[76, 79, 16, 37], Operations: [] Exploring Operation: 76+79=155, Resulting Numbers: [16, 37, 155] Generated Node #2: [16, 37, 155] from Operation: 76+79=155 Current State: 12:[16, 37, 155], Operations: ['76+79=155'] Exploring Operation: 37+155=192, Resulting Numbers: [16, 192] Generated Node #3: [16, 192] from Operation: 37+155=192 Current State: 12:[16, 192], Operations: ['76+79=155', '37+155=192'] Exploring Operation: 192/16=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 89, 41, 23 ]
89
[ "41-41=0", "23*0=0", "89+0=89" ]
Current State: 89:[41, 89, 41, 23], Operations: [] Exploring Operation: 41-41=0, Resulting Numbers: [89, 23, 0] Generated Node #2: [89, 23, 0] from Operation: 41-41=0 Current State: 89:[89, 23, 0], Operations: ['41-41=0'] Exploring Operation: 23*0=0, Resulting Numbers: [89, 0] Generated Node #3: [89, 0] from Operation: 23*0=0 Current State: 89:[89, 0], Operations: ['41-41=0', '23*0=0'] Exploring Operation: 89+0=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 55, 21, 26 ]
80
[ "26-21=5", "55/5=11", "69+11=80" ]
Current State: 80:[69, 55, 21, 26], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [69, 55, 5] Generated Node #2: [69, 55, 5] from Operation: 26-21=5 Current State: 80:[69, 55, 5], Operations: ['26-21=5'] Exploring Operation: 55/5=11, Resulting Numbers: [69, 11] Generated Node #3: [69, 11] from Operation: 55/5=11 Current State: 80:[69, 11], Operations: ['26-21=5', '55/5=11'] Exploring Operation: 69+11=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 30, 16, 70, 54 ]
31
[ "70-16=54", "54/54=1", "30+1=31" ]
Current State: 31:[30, 16, 70, 54], Operations: [] Exploring Operation: 70-16=54, Resulting Numbers: [30, 54, 54] Generated Node #2: [30, 54, 54] from Operation: 70-16=54 Current State: 31:[30, 54, 54], Operations: ['70-16=54'] Exploring Operation: 54/54=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 54/54=1 Current State: 31:[30, 1], Operations: ['70-16=54', '54/54=1'] Exploring Operation: 30+1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 35, 45, 25, 3 ]
60
[ "35*45=1575", "1575/25=63", "63-3=60" ]
Current State: 60:[35, 45, 25, 3], Operations: [] Exploring Operation: 35*45=1575, Resulting Numbers: [25, 3, 1575] Generated Node #2: [25, 3, 1575] from Operation: 35*45=1575 Current State: 60:[25, 3, 1575], Operations: ['35*45=1575'] Exploring Operation: 1575/25=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 1575/25=63 Current State: 60:[3, 63], Operations: ['35*45=1575', '1575/25=63'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 79, 48, 21 ]
95
[ "21-18=3", "48/3=16", "79+16=95" ]
Current State: 95:[18, 79, 48, 21], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [79, 48, 3] Generated Node #2: [79, 48, 3] from Operation: 21-18=3 Current State: 95:[79, 48, 3], Operations: ['21-18=3'] Exploring Operation: 48/3=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 48/3=16 Current State: 95:[79, 16], Operations: ['21-18=3', '48/3=16'] Exploring Operation: 79+16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 58, 54, 7 ]
27
[ "58-54=4", "7*4=28", "28-1=27" ]
Current State: 27:[1, 58, 54, 7], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [1, 7, 4] Generated Node #2: [1, 7, 4] from Operation: 58-54=4 Current State: 27:[1, 7, 4], Operations: ['58-54=4'] Exploring Operation: 7*4=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 7*4=28 Current State: 27:[1, 28], Operations: ['58-54=4', '7*4=28'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 23, 60, 21, 19 ]
30
[ "23+19=42", "60*21=1260", "1260/42=30" ]
Current State: 30:[23, 60, 21, 19], Operations: [] Exploring Operation: 23+19=42, Resulting Numbers: [60, 21, 42] Generated Node #2: [60, 21, 42] from Operation: 23+19=42 Current State: 30:[60, 21, 42], Operations: ['23+19=42'] Exploring Operation: 60*21=1260, Resulting Numbers: [42, 1260] Generated Node #3: [42, 1260] from Operation: 60*21=1260 Current State: 30:[42, 1260], Operations: ['23+19=42', '60*21=1260'] Exploring Operation: 1260/42=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 92, 63, 84, 2 ]
67
[ "92*63=5796", "5796/84=69", "69-2=67" ]
Current State: 67:[92, 63, 84, 2], Operations: [] Exploring Operation: 92*63=5796, Resulting Numbers: [84, 2, 5796] Generated Node #2: [84, 2, 5796] from Operation: 92*63=5796 Current State: 67:[84, 2, 5796], Operations: ['92*63=5796'] Exploring Operation: 5796/84=69, Resulting Numbers: [2, 69] Generated Node #3: [2, 69] from Operation: 5796/84=69 Current State: 67:[2, 69], Operations: ['92*63=5796', '5796/84=69'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 6, 8, 2, 89 ]
27
[ "6/2=3", "89-8=81", "81/3=27" ]
Current State: 27:[6, 8, 2, 89], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [8, 89, 3] Generated Node #2: [8, 89, 3] from Operation: 6/2=3 Current State: 27:[8, 89, 3], Operations: ['6/2=3'] Exploring Operation: 89-8=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 89-8=81 Current State: 27:[3, 81], Operations: ['6/2=3', '89-8=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 76, 80, 94, 15 ]
75
[ "80-76=4", "94-15=79", "79-4=75" ]
Current State: 75:[76, 80, 94, 15], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [94, 15, 4] Generated Node #2: [94, 15, 4] from Operation: 80-76=4 Current State: 75:[94, 15, 4], Operations: ['80-76=4'] Exploring Operation: 94-15=79, Resulting Numbers: [4, 79] Generated Node #3: [4, 79] from Operation: 94-15=79 Current State: 75:[4, 79], Operations: ['80-76=4', '94-15=79'] Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 37, 90, 72, 67 ]
75
[ "67-37=30", "90/30=3", "72+3=75" ]
Current State: 75:[37, 90, 72, 67], Operations: [] Exploring Operation: 67-37=30, Resulting Numbers: [90, 72, 30] Generated Node #2: [90, 72, 30] from Operation: 67-37=30 Current State: 75:[90, 72, 30], Operations: ['67-37=30'] Exploring Operation: 90/30=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 90/30=3 Current State: 75:[72, 3], Operations: ['67-37=30', '90/30=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 98, 90, 45, 60 ]
36
[ "98-60=38", "90/45=2", "38-2=36" ]
Current State: 36:[98, 90, 45, 60], Operations: [] Exploring Operation: 98-60=38, Resulting Numbers: [90, 45, 38] Generated Node #2: [90, 45, 38] from Operation: 98-60=38 Current State: 36:[90, 45, 38], Operations: ['98-60=38'] Exploring Operation: 90/45=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 90/45=2 Current State: 36:[38, 2], Operations: ['98-60=38', '90/45=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 9, 60, 47 ]
49
[ "60-47=13", "9*13=117", "117-68=49" ]
Current State: 49:[68, 9, 60, 47], Operations: [] Exploring Operation: 60-47=13, Resulting Numbers: [68, 9, 13] Generated Node #2: [68, 9, 13] from Operation: 60-47=13 Current State: 49:[68, 9, 13], Operations: ['60-47=13'] Exploring Operation: 9*13=117, Resulting Numbers: [68, 117] Generated Node #3: [68, 117] from Operation: 9*13=117 Current State: 49:[68, 117], Operations: ['60-47=13', '9*13=117'] Exploring Operation: 117-68=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 95, 90, 14, 79 ]
98
[ "95-90=5", "14+79=93", "5+93=98" ]
Current State: 98:[95, 90, 14, 79], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [14, 79, 5] Generated Node #2: [14, 79, 5] from Operation: 95-90=5 Current State: 98:[14, 79, 5], Operations: ['95-90=5'] Exploring Operation: 14+79=93, Resulting Numbers: [5, 93] Generated Node #3: [5, 93] from Operation: 14+79=93 Current State: 98:[5, 93], Operations: ['95-90=5', '14+79=93'] Exploring Operation: 5+93=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 36, 6, 12, 50 ]
42
[ "36+12=48", "48/6=8", "50-8=42" ]
Current State: 42:[36, 6, 12, 50], Operations: [] Exploring Operation: 36+12=48, Resulting Numbers: [6, 50, 48] Generated Node #2: [6, 50, 48] from Operation: 36+12=48 Current State: 42:[6, 50, 48], Operations: ['36+12=48'] Exploring Operation: 48/6=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 48/6=8 Current State: 42:[50, 8], Operations: ['36+12=48', '48/6=8'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 35, 42, 72 ]
25
[ "72-42=30", "30/3=10", "35-10=25" ]
Current State: 25:[3, 35, 42, 72], Operations: [] Exploring Operation: 72-42=30, Resulting Numbers: [3, 35, 30] Generated Node #2: [3, 35, 30] from Operation: 72-42=30 Current State: 25:[3, 35, 30], Operations: ['72-42=30'] Exploring Operation: 30/3=10, Resulting Numbers: [35, 10] Generated Node #3: [35, 10] from Operation: 30/3=10 Current State: 25:[35, 10], Operations: ['72-42=30', '30/3=10'] Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 40, 73, 3, 27 ]
83
[ "40+73=113", "3+27=30", "113-30=83" ]
Current State: 83:[40, 73, 3, 27], Operations: [] Exploring Operation: 40+73=113, Resulting Numbers: [3, 27, 113] Generated Node #2: [3, 27, 113] from Operation: 40+73=113 Current State: 83:[3, 27, 113], Operations: ['40+73=113'] Exploring Operation: 3+27=30, Resulting Numbers: [113, 30] Generated Node #3: [113, 30] from Operation: 3+27=30 Current State: 83:[113, 30], Operations: ['40+73=113', '3+27=30'] Exploring Operation: 113-30=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 14, 62, 48 ]
18
[ "14*62=868", "868-4=864", "864/48=18" ]
Current State: 18:[4, 14, 62, 48], Operations: [] Exploring Operation: 14*62=868, Resulting Numbers: [4, 48, 868] Generated Node #2: [4, 48, 868] from Operation: 14*62=868 Current State: 18:[4, 48, 868], Operations: ['14*62=868'] Exploring Operation: 868-4=864, Resulting Numbers: [48, 864] Generated Node #3: [48, 864] from Operation: 868-4=864 Current State: 18:[48, 864], Operations: ['14*62=868', '868-4=864'] Exploring Operation: 864/48=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 8, 74, 10, 88 ]
63
[ "8*88=704", "704-74=630", "630/10=63" ]
Current State: 63:[8, 74, 10, 88], Operations: [] Exploring Operation: 8*88=704, Resulting Numbers: [74, 10, 704] Generated Node #2: [74, 10, 704] from Operation: 8*88=704 Current State: 63:[74, 10, 704], Operations: ['8*88=704'] Exploring Operation: 704-74=630, Resulting Numbers: [10, 630] Generated Node #3: [10, 630] from Operation: 704-74=630 Current State: 63:[10, 630], Operations: ['8*88=704', '704-74=630'] Exploring Operation: 630/10=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 60, 6, 19, 77 ]
76
[ "19+77=96", "96/6=16", "60+16=76" ]
Current State: 76:[60, 6, 19, 77], Operations: [] Exploring Operation: 19+77=96, Resulting Numbers: [60, 6, 96] Generated Node #2: [60, 6, 96] from Operation: 19+77=96 Current State: 76:[60, 6, 96], Operations: ['19+77=96'] Exploring Operation: 96/6=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 96/6=16 Current State: 76:[60, 16], Operations: ['19+77=96', '96/6=16'] Exploring Operation: 60+16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 86, 79, 21 ]
59
[ "31+86=117", "79-21=58", "117-58=59" ]
Current State: 59:[31, 86, 79, 21], Operations: [] Exploring Operation: 31+86=117, Resulting Numbers: [79, 21, 117] Generated Node #2: [79, 21, 117] from Operation: 31+86=117 Current State: 59:[79, 21, 117], Operations: ['31+86=117'] Exploring Operation: 79-21=58, Resulting Numbers: [117, 58] Generated Node #3: [117, 58] from Operation: 79-21=58 Current State: 59:[117, 58], Operations: ['31+86=117', '79-21=58'] Exploring Operation: 117-58=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 46, 2, 50, 65 ]
62
[ "46+50=96", "96-65=31", "2*31=62" ]
Current State: 62:[46, 2, 50, 65], Operations: [] Exploring Operation: 46+50=96, Resulting Numbers: [2, 65, 96] Generated Node #2: [2, 65, 96] from Operation: 46+50=96 Current State: 62:[2, 65, 96], Operations: ['46+50=96'] Exploring Operation: 96-65=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 96-65=31 Current State: 62:[2, 31], Operations: ['46+50=96', '96-65=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 25, 47, 24, 93 ]
96
[ "25+47=72", "72/24=3", "93+3=96" ]
Current State: 96:[25, 47, 24, 93], Operations: [] Exploring Operation: 25+47=72, Resulting Numbers: [24, 93, 72] Generated Node #2: [24, 93, 72] from Operation: 25+47=72 Current State: 96:[24, 93, 72], Operations: ['25+47=72'] Exploring Operation: 72/24=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 72/24=3 Current State: 96:[93, 3], Operations: ['25+47=72', '72/24=3'] Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 1, 71, 94 ]
18
[ "5*1=5", "94-71=23", "23-5=18" ]
Current State: 18:[5, 1, 71, 94], Operations: [] Exploring Operation: 5*1=5, Resulting Numbers: [71, 94, 5] Generated Node #2: [71, 94, 5] from Operation: 5*1=5 Current State: 18:[71, 94, 5], Operations: ['5*1=5'] Exploring Operation: 94-71=23, Resulting Numbers: [5, 23] Generated Node #3: [5, 23] from Operation: 94-71=23 Current State: 18:[5, 23], Operations: ['5*1=5', '94-71=23'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 97, 1, 60, 30 ]
97
[ "60/30=2", "2-1=1", "97*1=97" ]
Current State: 97:[97, 1, 60, 30], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [97, 1, 2] Generated Node #2: [97, 1, 2] from Operation: 60/30=2 Current State: 97:[97, 1, 2], Operations: ['60/30=2'] Exploring Operation: 2-1=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 2-1=1 Current State: 97:[97, 1], Operations: ['60/30=2', '2-1=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 56, 37, 76, 78 ]
74
[ "56-37=19", "76/19=4", "78-4=74" ]
Current State: 74:[56, 37, 76, 78], Operations: [] Exploring Operation: 56-37=19, Resulting Numbers: [76, 78, 19] Generated Node #2: [76, 78, 19] from Operation: 56-37=19 Current State: 74:[76, 78, 19], Operations: ['56-37=19'] Exploring Operation: 76/19=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 76/19=4 Current State: 74:[78, 4], Operations: ['56-37=19', '76/19=4'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 76, 53, 2, 76 ]
27
[ "76/76=1", "53+1=54", "54/2=27" ]
Current State: 27:[76, 53, 2, 76], Operations: [] Exploring Operation: 76/76=1, Resulting Numbers: [53, 2, 1] Generated Node #2: [53, 2, 1] from Operation: 76/76=1 Current State: 27:[53, 2, 1], Operations: ['76/76=1'] Exploring Operation: 53+1=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 53+1=54 Current State: 27:[2, 54], Operations: ['76/76=1', '53+1=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 79, 91, 95, 9 ]
13
[ "91-79=12", "9*12=108", "108-95=13" ]
Current State: 13:[79, 91, 95, 9], Operations: [] Exploring Operation: 91-79=12, Resulting Numbers: [95, 9, 12] Generated Node #2: [95, 9, 12] from Operation: 91-79=12 Current State: 13:[95, 9, 12], Operations: ['91-79=12'] Exploring Operation: 9*12=108, Resulting Numbers: [95, 108] Generated Node #3: [95, 108] from Operation: 9*12=108 Current State: 13:[95, 108], Operations: ['91-79=12', '9*12=108'] Exploring Operation: 108-95=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 85, 48, 25 ]
15
[ "85-5=80", "48*25=1200", "1200/80=15" ]
Current State: 15:[5, 85, 48, 25], Operations: [] Exploring Operation: 85-5=80, Resulting Numbers: [48, 25, 80] Generated Node #2: [48, 25, 80] from Operation: 85-5=80 Current State: 15:[48, 25, 80], Operations: ['85-5=80'] Exploring Operation: 48*25=1200, Resulting Numbers: [80, 1200] Generated Node #3: [80, 1200] from Operation: 48*25=1200 Current State: 15:[80, 1200], Operations: ['85-5=80', '48*25=1200'] Exploring Operation: 1200/80=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 63, 72, 74 ]
79
[ "14+63=77", "74-72=2", "77+2=79" ]
Current State: 79:[14, 63, 72, 74], Operations: [] Exploring Operation: 14+63=77, Resulting Numbers: [72, 74, 77] Generated Node #2: [72, 74, 77] from Operation: 14+63=77 Current State: 79:[72, 74, 77], Operations: ['14+63=77'] Exploring Operation: 74-72=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 74-72=2 Current State: 79:[77, 2], Operations: ['14+63=77', '74-72=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 72, 55, 44, 55 ]
72
[ "55-55=0", "44*0=0", "72+0=72" ]
Current State: 72:[72, 55, 44, 55], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [72, 44, 0] Generated Node #2: [72, 44, 0] from Operation: 55-55=0 Current State: 72:[72, 44, 0], Operations: ['55-55=0'] Exploring Operation: 44*0=0, Resulting Numbers: [72, 0] Generated Node #3: [72, 0] from Operation: 44*0=0 Current State: 72:[72, 0], Operations: ['55-55=0', '44*0=0'] Exploring Operation: 72+0=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 67, 89, 4, 52 ]
91
[ "67+89=156", "156/4=39", "52+39=91" ]
Current State: 91:[67, 89, 4, 52], Operations: [] Exploring Operation: 67+89=156, Resulting Numbers: [4, 52, 156] Generated Node #2: [4, 52, 156] from Operation: 67+89=156 Current State: 91:[4, 52, 156], Operations: ['67+89=156'] Exploring Operation: 156/4=39, Resulting Numbers: [52, 39] Generated Node #3: [52, 39] from Operation: 156/4=39 Current State: 91:[52, 39], Operations: ['67+89=156', '156/4=39'] Exploring Operation: 52+39=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 61, 12, 18 ]
79
[ "13-12=1", "61+18=79", "1*79=79" ]
Current State: 79:[13, 61, 12, 18], Operations: [] Exploring Operation: 13-12=1, Resulting Numbers: [61, 18, 1] Generated Node #2: [61, 18, 1] from Operation: 13-12=1 Current State: 79:[61, 18, 1], Operations: ['13-12=1'] Exploring Operation: 61+18=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 61+18=79 Current State: 79:[1, 79], Operations: ['13-12=1', '61+18=79'] Exploring Operation: 1*79=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 56, 85, 53, 71 ]
57
[ "85-71=14", "56/14=4", "53+4=57" ]
Current State: 57:[56, 85, 53, 71], Operations: [] Exploring Operation: 85-71=14, Resulting Numbers: [56, 53, 14] Generated Node #2: [56, 53, 14] from Operation: 85-71=14 Current State: 57:[56, 53, 14], Operations: ['85-71=14'] Exploring Operation: 56/14=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 56/14=4 Current State: 57:[53, 4], Operations: ['85-71=14', '56/14=4'] Exploring Operation: 53+4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 56, 47, 29, 52 ]
89
[ "52-47=5", "29*5=145", "145-56=89" ]
Current State: 89:[56, 47, 29, 52], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [56, 29, 5] Generated Node #2: [56, 29, 5] from Operation: 52-47=5 Current State: 89:[56, 29, 5], Operations: ['52-47=5'] Exploring Operation: 29*5=145, Resulting Numbers: [56, 145] Generated Node #3: [56, 145] from Operation: 29*5=145 Current State: 89:[56, 145], Operations: ['52-47=5', '29*5=145'] Exploring Operation: 145-56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 77, 70, 34, 41 ]
59
[ "41-34=7", "77/7=11", "70-11=59" ]
Current State: 59:[77, 70, 34, 41], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [77, 70, 7] Generated Node #2: [77, 70, 7] from Operation: 41-34=7 Current State: 59:[77, 70, 7], Operations: ['41-34=7'] Exploring Operation: 77/7=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 77/7=11 Current State: 59:[70, 11], Operations: ['41-34=7', '77/7=11'] Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 45, 38, 89 ]
20
[ "45-14=31", "89-38=51", "51-31=20" ]
Current State: 20:[14, 45, 38, 89], Operations: [] Exploring Operation: 45-14=31, Resulting Numbers: [38, 89, 31] Generated Node #2: [38, 89, 31] from Operation: 45-14=31 Current State: 20:[38, 89, 31], Operations: ['45-14=31'] Exploring Operation: 89-38=51, Resulting Numbers: [31, 51] Generated Node #3: [31, 51] from Operation: 89-38=51 Current State: 20:[31, 51], Operations: ['45-14=31', '89-38=51'] Exploring Operation: 51-31=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 87, 91, 70 ]
97
[ "91/13=7", "70/7=10", "87+10=97" ]
Current State: 97:[13, 87, 91, 70], Operations: [] Exploring Operation: 91/13=7, Resulting Numbers: [87, 70, 7] Generated Node #2: [87, 70, 7] from Operation: 91/13=7 Current State: 97:[87, 70, 7], Operations: ['91/13=7'] Exploring Operation: 70/7=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 70/7=10 Current State: 97:[87, 10], Operations: ['91/13=7', '70/7=10'] Exploring Operation: 87+10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 27, 57, 23 ]
73
[ "66-27=39", "57-23=34", "39+34=73" ]
Current State: 73:[66, 27, 57, 23], Operations: [] Exploring Operation: 66-27=39, Resulting Numbers: [57, 23, 39] Generated Node #2: [57, 23, 39] from Operation: 66-27=39 Current State: 73:[57, 23, 39], Operations: ['66-27=39'] Exploring Operation: 57-23=34, Resulting Numbers: [39, 34] Generated Node #3: [39, 34] from Operation: 57-23=34 Current State: 73:[39, 34], Operations: ['66-27=39', '57-23=34'] Exploring Operation: 39+34=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 12, 86, 65, 49 ]
28
[ "12*49=588", "86-65=21", "588/21=28" ]
Current State: 28:[12, 86, 65, 49], Operations: [] Exploring Operation: 12*49=588, Resulting Numbers: [86, 65, 588] Generated Node #2: [86, 65, 588] from Operation: 12*49=588 Current State: 28:[86, 65, 588], Operations: ['12*49=588'] Exploring Operation: 86-65=21, Resulting Numbers: [588, 21] Generated Node #3: [588, 21] from Operation: 86-65=21 Current State: 28:[588, 21], Operations: ['12*49=588', '86-65=21'] Exploring Operation: 588/21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 54, 23, 20, 8 ]
89
[ "54+23=77", "20-8=12", "77+12=89" ]
Current State: 89:[54, 23, 20, 8], Operations: [] Exploring Operation: 54+23=77, Resulting Numbers: [20, 8, 77] Generated Node #2: [20, 8, 77] from Operation: 54+23=77 Current State: 89:[20, 8, 77], Operations: ['54+23=77'] Exploring Operation: 20-8=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 20-8=12 Current State: 89:[77, 12], Operations: ['54+23=77', '20-8=12'] Exploring Operation: 77+12=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 85, 80, 68, 82 ]
36
[ "85-82=3", "80-68=12", "3*12=36" ]
Current State: 36:[85, 80, 68, 82], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [80, 68, 3] Generated Node #2: [80, 68, 3] from Operation: 85-82=3 Current State: 36:[80, 68, 3], Operations: ['85-82=3'] Exploring Operation: 80-68=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 80-68=12 Current State: 36:[3, 12], Operations: ['85-82=3', '80-68=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 55, 26, 98 ]
53
[ "70+55=125", "98-26=72", "125-72=53" ]
Current State: 53:[70, 55, 26, 98], Operations: [] Exploring Operation: 70+55=125, Resulting Numbers: [26, 98, 125] Generated Node #2: [26, 98, 125] from Operation: 70+55=125 Current State: 53:[26, 98, 125], Operations: ['70+55=125'] Exploring Operation: 98-26=72, Resulting Numbers: [125, 72] Generated Node #3: [125, 72] from Operation: 98-26=72 Current State: 53:[125, 72], Operations: ['70+55=125', '98-26=72'] Exploring Operation: 125-72=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 92, 54, 43, 32 ]
71
[ "92+54=146", "43+32=75", "146-75=71" ]
Current State: 71:[92, 54, 43, 32], Operations: [] Exploring Operation: 92+54=146, Resulting Numbers: [43, 32, 146] Generated Node #2: [43, 32, 146] from Operation: 92+54=146 Current State: 71:[43, 32, 146], Operations: ['92+54=146'] Exploring Operation: 43+32=75, Resulting Numbers: [146, 75] Generated Node #3: [146, 75] from Operation: 43+32=75 Current State: 71:[146, 75], Operations: ['92+54=146', '43+32=75'] Exploring Operation: 146-75=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 58, 36, 69, 99 ]
52
[ "58-36=22", "99-69=30", "22+30=52" ]
Current State: 52:[58, 36, 69, 99], Operations: [] Exploring Operation: 58-36=22, Resulting Numbers: [69, 99, 22] Generated Node #2: [69, 99, 22] from Operation: 58-36=22 Current State: 52:[69, 99, 22], Operations: ['58-36=22'] Exploring Operation: 99-69=30, Resulting Numbers: [22, 30] Generated Node #3: [22, 30] from Operation: 99-69=30 Current State: 52:[22, 30], Operations: ['58-36=22', '99-69=30'] Exploring Operation: 22+30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 22, 18, 1 ]
86
[ "6*18=108", "22*1=22", "108-22=86" ]
Current State: 86:[6, 22, 18, 1], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [22, 1, 108] Generated Node #2: [22, 1, 108] from Operation: 6*18=108 Current State: 86:[22, 1, 108], Operations: ['6*18=108'] Exploring Operation: 22*1=22, Resulting Numbers: [108, 22] Generated Node #3: [108, 22] from Operation: 22*1=22 Current State: 86:[108, 22], Operations: ['6*18=108', '22*1=22'] Exploring Operation: 108-22=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 27, 22, 3, 71 ]
32
[ "27*3=81", "71-22=49", "81-49=32" ]
Current State: 32:[27, 22, 3, 71], Operations: [] Exploring Operation: 27*3=81, Resulting Numbers: [22, 71, 81] Generated Node #2: [22, 71, 81] from Operation: 27*3=81 Current State: 32:[22, 71, 81], Operations: ['27*3=81'] Exploring Operation: 71-22=49, Resulting Numbers: [81, 49] Generated Node #3: [81, 49] from Operation: 71-22=49 Current State: 32:[81, 49], Operations: ['27*3=81', '71-22=49'] Exploring Operation: 81-49=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 18, 59, 45, 60 ]
62
[ "18+59=77", "60-45=15", "77-15=62" ]
Current State: 62:[18, 59, 45, 60], Operations: [] Exploring Operation: 18+59=77, Resulting Numbers: [45, 60, 77] Generated Node #2: [45, 60, 77] from Operation: 18+59=77 Current State: 62:[45, 60, 77], Operations: ['18+59=77'] Exploring Operation: 60-45=15, Resulting Numbers: [77, 15] Generated Node #3: [77, 15] from Operation: 60-45=15 Current State: 62:[77, 15], Operations: ['18+59=77', '60-45=15'] Exploring Operation: 77-15=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 83, 26, 26, 70 ]
65
[ "83+26=109", "70-26=44", "109-44=65" ]
Current State: 65:[83, 26, 26, 70], Operations: [] Exploring Operation: 83+26=109, Resulting Numbers: [70, 109] Generated Node #2: [70, 109] from Operation: 83+26=109 Current State: 65:[70, 109], Operations: ['83+26=109'] Exploring Operation: 70-26=44, Resulting Numbers: [109, 44] Generated Node #3: [109, 44] from Operation: 70-26=44 Current State: 65:[109, 44], Operations: ['83+26=109', '70-26=44'] Exploring Operation: 109-44=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 12, 9, 55 ]
92
[ "40-12=28", "9+55=64", "28+64=92" ]
Current State: 92:[40, 12, 9, 55], Operations: [] Exploring Operation: 40-12=28, Resulting Numbers: [9, 55, 28] Generated Node #2: [9, 55, 28] from Operation: 40-12=28 Current State: 92:[9, 55, 28], Operations: ['40-12=28'] Exploring Operation: 9+55=64, Resulting Numbers: [28, 64] Generated Node #3: [28, 64] from Operation: 9+55=64 Current State: 92:[28, 64], Operations: ['40-12=28', '9+55=64'] Exploring Operation: 28+64=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 73, 77, 57, 9 ]
21
[ "77-73=4", "9*4=36", "57-36=21" ]
Current State: 21:[73, 77, 57, 9], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [57, 9, 4] Generated Node #2: [57, 9, 4] from Operation: 77-73=4 Current State: 21:[57, 9, 4], Operations: ['77-73=4'] Exploring Operation: 9*4=36, Resulting Numbers: [57, 36] Generated Node #3: [57, 36] from Operation: 9*4=36 Current State: 21:[57, 36], Operations: ['77-73=4', '9*4=36'] Exploring Operation: 57-36=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 2, 22, 25 ]
12
[ "25-5=20", "20/2=10", "22-10=12" ]
Current State: 12:[5, 2, 22, 25], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [2, 22, 20] Generated Node #2: [2, 22, 20] from Operation: 25-5=20 Current State: 12:[2, 22, 20], Operations: ['25-5=20'] Exploring Operation: 20/2=10, Resulting Numbers: [22, 10] Generated Node #3: [22, 10] from Operation: 20/2=10 Current State: 12:[22, 10], Operations: ['25-5=20', '20/2=10'] Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 64, 56, 82, 3 ]
14
[ "82-56=26", "3*26=78", "78-64=14" ]
Current State: 14:[64, 56, 82, 3], Operations: [] Exploring Operation: 82-56=26, Resulting Numbers: [64, 3, 26] Generated Node #2: [64, 3, 26] from Operation: 82-56=26 Current State: 14:[64, 3, 26], Operations: ['82-56=26'] Exploring Operation: 3*26=78, Resulting Numbers: [64, 78] Generated Node #3: [64, 78] from Operation: 3*26=78 Current State: 14:[64, 78], Operations: ['82-56=26', '3*26=78'] Exploring Operation: 78-64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 20, 14, 52 ]
26
[ "20-14=6", "12/6=2", "52/2=26" ]
Current State: 26:[12, 20, 14, 52], Operations: [] Exploring Operation: 20-14=6, Resulting Numbers: [12, 52, 6] Generated Node #2: [12, 52, 6] from Operation: 20-14=6 Current State: 26:[12, 52, 6], Operations: ['20-14=6'] Exploring Operation: 12/6=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 12/6=2 Current State: 26:[52, 2], Operations: ['20-14=6', '12/6=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 46, 50, 6, 69 ]
81
[ "50*69=3450", "3450/46=75", "6+75=81" ]
Current State: 81:[46, 50, 6, 69], Operations: [] Exploring Operation: 50*69=3450, Resulting Numbers: [46, 6, 3450] Generated Node #2: [46, 6, 3450] from Operation: 50*69=3450 Current State: 81:[46, 6, 3450], Operations: ['50*69=3450'] Exploring Operation: 3450/46=75, Resulting Numbers: [6, 75] Generated Node #3: [6, 75] from Operation: 3450/46=75 Current State: 81:[6, 75], Operations: ['50*69=3450', '3450/46=75'] Exploring Operation: 6+75=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 58, 35, 38, 3 ]
91
[ "58-35=23", "38*3=114", "114-23=91" ]
Current State: 91:[58, 35, 38, 3], Operations: [] Exploring Operation: 58-35=23, Resulting Numbers: [38, 3, 23] Generated Node #2: [38, 3, 23] from Operation: 58-35=23 Current State: 91:[38, 3, 23], Operations: ['58-35=23'] Exploring Operation: 38*3=114, Resulting Numbers: [23, 114] Generated Node #3: [23, 114] from Operation: 38*3=114 Current State: 91:[23, 114], Operations: ['58-35=23', '38*3=114'] Exploring Operation: 114-23=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 76, 17, 30 ]
79
[ "16+76=92", "30-17=13", "92-13=79" ]
Current State: 79:[16, 76, 17, 30], Operations: [] Exploring Operation: 16+76=92, Resulting Numbers: [17, 30, 92] Generated Node #2: [17, 30, 92] from Operation: 16+76=92 Current State: 79:[17, 30, 92], Operations: ['16+76=92'] Exploring Operation: 30-17=13, Resulting Numbers: [92, 13] Generated Node #3: [92, 13] from Operation: 30-17=13 Current State: 79:[92, 13], Operations: ['16+76=92', '30-17=13'] Exploring Operation: 92-13=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 29, 3, 12, 11 ]
67
[ "11-3=8", "12*8=96", "96-29=67" ]
Current State: 67:[29, 3, 12, 11], Operations: [] Exploring Operation: 11-3=8, Resulting Numbers: [29, 12, 8] Generated Node #2: [29, 12, 8] from Operation: 11-3=8 Current State: 67:[29, 12, 8], Operations: ['11-3=8'] Exploring Operation: 12*8=96, Resulting Numbers: [29, 96] Generated Node #3: [29, 96] from Operation: 12*8=96 Current State: 67:[29, 96], Operations: ['11-3=8', '12*8=96'] Exploring Operation: 96-29=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 51, 94, 5, 38 ]
86
[ "94-51=43", "5+38=43", "43+43=86" ]
Current State: 86:[51, 94, 5, 38], Operations: [] Exploring Operation: 94-51=43, Resulting Numbers: [5, 38, 43] Generated Node #2: [5, 38, 43] from Operation: 94-51=43 Current State: 86:[5, 38, 43], Operations: ['94-51=43'] Exploring Operation: 5+38=43, Resulting Numbers: [43, 43] Generated Node #3: [43, 43] from Operation: 5+38=43 Current State: 86:[43, 43], Operations: ['94-51=43', '5+38=43'] Exploring Operation: 43+43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 82, 90, 27 ]
33
[ "82-27=55", "54*55=2970", "2970/90=33" ]
Current State: 33:[54, 82, 90, 27], Operations: [] Exploring Operation: 82-27=55, Resulting Numbers: [54, 90, 55] Generated Node #2: [54, 90, 55] from Operation: 82-27=55 Current State: 33:[54, 90, 55], Operations: ['82-27=55'] Exploring Operation: 54*55=2970, Resulting Numbers: [90, 2970] Generated Node #3: [90, 2970] from Operation: 54*55=2970 Current State: 33:[90, 2970], Operations: ['82-27=55', '54*55=2970'] Exploring Operation: 2970/90=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 31, 33, 4, 11 ]
28
[ "31-11=20", "20/4=5", "33-5=28" ]
Current State: 28:[31, 33, 4, 11], Operations: [] Exploring Operation: 31-11=20, Resulting Numbers: [33, 4, 20] Generated Node #2: [33, 4, 20] from Operation: 31-11=20 Current State: 28:[33, 4, 20], Operations: ['31-11=20'] Exploring Operation: 20/4=5, Resulting Numbers: [33, 5] Generated Node #3: [33, 5] from Operation: 20/4=5 Current State: 28:[33, 5], Operations: ['31-11=20', '20/4=5'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 15, 18, 47, 2 ]
59
[ "15*2=30", "47-18=29", "30+29=59" ]
Current State: 59:[15, 18, 47, 2], Operations: [] Exploring Operation: 15*2=30, Resulting Numbers: [18, 47, 30] Generated Node #2: [18, 47, 30] from Operation: 15*2=30 Current State: 59:[18, 47, 30], Operations: ['15*2=30'] Exploring Operation: 47-18=29, Resulting Numbers: [30, 29] Generated Node #3: [30, 29] from Operation: 47-18=29 Current State: 59:[30, 29], Operations: ['15*2=30', '47-18=29'] Exploring Operation: 30+29=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 89, 59, 66, 3 ]
99
[ "89-59=30", "66+3=69", "30+69=99" ]
Current State: 99:[89, 59, 66, 3], Operations: [] Exploring Operation: 89-59=30, Resulting Numbers: [66, 3, 30] Generated Node #2: [66, 3, 30] from Operation: 89-59=30 Current State: 99:[66, 3, 30], Operations: ['89-59=30'] Exploring Operation: 66+3=69, Resulting Numbers: [30, 69] Generated Node #3: [30, 69] from Operation: 66+3=69 Current State: 99:[30, 69], Operations: ['89-59=30', '66+3=69'] Exploring Operation: 30+69=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 82, 86, 13 ]
48
[ "13-1=12", "86-82=4", "12*4=48" ]
Current State: 48:[1, 82, 86, 13], Operations: [] Exploring Operation: 13-1=12, Resulting Numbers: [82, 86, 12] Generated Node #2: [82, 86, 12] from Operation: 13-1=12 Current State: 48:[82, 86, 12], Operations: ['13-1=12'] Exploring Operation: 86-82=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 86-82=4 Current State: 48:[12, 4], Operations: ['13-1=12', '86-82=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 55, 6, 51, 46 ]
44
[ "55-6=49", "51-46=5", "49-5=44" ]
Current State: 44:[55, 6, 51, 46], Operations: [] Exploring Operation: 55-6=49, Resulting Numbers: [51, 46, 49] Generated Node #2: [51, 46, 49] from Operation: 55-6=49 Current State: 44:[51, 46, 49], Operations: ['55-6=49'] Exploring Operation: 51-46=5, Resulting Numbers: [49, 5] Generated Node #3: [49, 5] from Operation: 51-46=5 Current State: 44:[49, 5], Operations: ['55-6=49', '51-46=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 8, 3, 13 ]
83
[ "4*8=32", "3*32=96", "96-13=83" ]
Current State: 83:[4, 8, 3, 13], Operations: [] Exploring Operation: 4*8=32, Resulting Numbers: [3, 13, 32] Generated Node #2: [3, 13, 32] from Operation: 4*8=32 Current State: 83:[3, 13, 32], Operations: ['4*8=32'] Exploring Operation: 3*32=96, Resulting Numbers: [13, 96] Generated Node #3: [13, 96] from Operation: 3*32=96 Current State: 83:[13, 96], Operations: ['4*8=32', '3*32=96'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 1, 65, 66 ]
24
[ "25*1=25", "66-65=1", "25-1=24" ]
Current State: 24:[25, 1, 65, 66], Operations: [] Exploring Operation: 25*1=25, Resulting Numbers: [65, 66, 25] Generated Node #2: [65, 66, 25] from Operation: 25*1=25 Current State: 24:[65, 66, 25], Operations: ['25*1=25'] Exploring Operation: 66-65=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 66-65=1 Current State: 24:[25, 1], Operations: ['25*1=25', '66-65=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 90, 22, 21, 24 ]
44
[ "90*22=1980", "21+24=45", "1980/45=44" ]
Current State: 44:[90, 22, 21, 24], Operations: [] Exploring Operation: 90*22=1980, Resulting Numbers: [21, 24, 1980] Generated Node #2: [21, 24, 1980] from Operation: 90*22=1980 Current State: 44:[21, 24, 1980], Operations: ['90*22=1980'] Exploring Operation: 21+24=45, Resulting Numbers: [1980, 45] Generated Node #3: [1980, 45] from Operation: 21+24=45 Current State: 44:[1980, 45], Operations: ['90*22=1980', '21+24=45'] Exploring Operation: 1980/45=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 84, 10, 80, 84 ]
31
[ "84-80=4", "84/4=21", "10+21=31" ]
Current State: 31:[84, 10, 80, 84], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [10, 4] Generated Node #2: [10, 4] from Operation: 84-80=4 Current State: 31:[10, 4], Operations: ['84-80=4'] Exploring Operation: 84/4=21, Resulting Numbers: [10, 21] Generated Node #3: [10, 21] from Operation: 84/4=21 Current State: 31:[10, 21], Operations: ['84-80=4', '84/4=21'] Exploring Operation: 10+21=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 61, 61, 9, 46 ]
36
[ "61/61=1", "46-9=37", "37-1=36" ]
Current State: 36:[61, 61, 9, 46], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [9, 46, 1] Generated Node #2: [9, 46, 1] from Operation: 61/61=1 Current State: 36:[9, 46, 1], Operations: ['61/61=1'] Exploring Operation: 46-9=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 46-9=37 Current State: 36:[1, 37], Operations: ['61/61=1', '46-9=37'] Exploring Operation: 37-1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 63, 34, 74, 32 ]
52
[ "34-32=2", "63*2=126", "126-74=52" ]
Current State: 52:[63, 34, 74, 32], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [63, 74, 2] Generated Node #2: [63, 74, 2] from Operation: 34-32=2 Current State: 52:[63, 74, 2], Operations: ['34-32=2'] Exploring Operation: 63*2=126, Resulting Numbers: [74, 126] Generated Node #3: [74, 126] from Operation: 63*2=126 Current State: 52:[74, 126], Operations: ['34-32=2', '63*2=126'] Exploring Operation: 126-74=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 73, 39, 3, 64 ]
42
[ "73-64=9", "9/3=3", "39+3=42" ]
Current State: 42:[73, 39, 3, 64], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [39, 3, 9] Generated Node #2: [39, 3, 9] from Operation: 73-64=9 Current State: 42:[39, 3, 9], Operations: ['73-64=9'] Exploring Operation: 9/3=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 9/3=3 Current State: 42:[39, 3], Operations: ['73-64=9', '9/3=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 94, 70, 48, 42 ]
14
[ "70*48=3360", "3360/42=80", "94-80=14" ]
Current State: 14:[94, 70, 48, 42], Operations: [] Exploring Operation: 70*48=3360, Resulting Numbers: [94, 42, 3360] Generated Node #2: [94, 42, 3360] from Operation: 70*48=3360 Current State: 14:[94, 42, 3360], Operations: ['70*48=3360'] Exploring Operation: 3360/42=80, Resulting Numbers: [94, 80] Generated Node #3: [94, 80] from Operation: 3360/42=80 Current State: 14:[94, 80], Operations: ['70*48=3360', '3360/42=80'] Exploring Operation: 94-80=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 64, 89, 55, 77 ]
47
[ "89-64=25", "77-55=22", "25+22=47" ]
Current State: 47:[64, 89, 55, 77], Operations: [] Exploring Operation: 89-64=25, Resulting Numbers: [55, 77, 25] Generated Node #2: [55, 77, 25] from Operation: 89-64=25 Current State: 47:[55, 77, 25], Operations: ['89-64=25'] Exploring Operation: 77-55=22, Resulting Numbers: [25, 22] Generated Node #3: [25, 22] from Operation: 77-55=22 Current State: 47:[25, 22], Operations: ['89-64=25', '77-55=22'] Exploring Operation: 25+22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 90, 47, 62, 39 ]
76
[ "90*39=3510", "62+3510=3572", "3572/47=76" ]
Current State: 76:[90, 47, 62, 39], Operations: [] Exploring Operation: 90*39=3510, Resulting Numbers: [47, 62, 3510] Generated Node #2: [47, 62, 3510] from Operation: 90*39=3510 Current State: 76:[47, 62, 3510], Operations: ['90*39=3510'] Exploring Operation: 62+3510=3572, Resulting Numbers: [47, 3572] Generated Node #3: [47, 3572] from Operation: 62+3510=3572 Current State: 76:[47, 3572], Operations: ['90*39=3510', '62+3510=3572'] Exploring Operation: 3572/47=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 52, 8, 39 ]
100
[ "52-39=13", "8*13=104", "104-4=100" ]
Current State: 100:[4, 52, 8, 39], Operations: [] Exploring Operation: 52-39=13, Resulting Numbers: [4, 8, 13] Generated Node #2: [4, 8, 13] from Operation: 52-39=13 Current State: 100:[4, 8, 13], Operations: ['52-39=13'] Exploring Operation: 8*13=104, Resulting Numbers: [4, 104] Generated Node #3: [4, 104] from Operation: 8*13=104 Current State: 100:[4, 104], Operations: ['52-39=13', '8*13=104'] Exploring Operation: 104-4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 32, 87, 2 ]
17
[ "87/87=1", "32/2=16", "1+16=17" ]
Current State: 17:[87, 32, 87, 2], Operations: [] Exploring Operation: 87/87=1, Resulting Numbers: [32, 2, 1] Generated Node #2: [32, 2, 1] from Operation: 87/87=1 Current State: 17:[32, 2, 1], Operations: ['87/87=1'] Exploring Operation: 32/2=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 32/2=16 Current State: 17:[1, 16], Operations: ['87/87=1', '32/2=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 96, 95, 18 ]
16
[ "34-18=16", "96-95=1", "16*1=16" ]
Current State: 16:[34, 96, 95, 18], Operations: [] Exploring Operation: 34-18=16, Resulting Numbers: [96, 95, 16] Generated Node #2: [96, 95, 16] from Operation: 34-18=16 Current State: 16:[96, 95, 16], Operations: ['34-18=16'] Exploring Operation: 96-95=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 96-95=1 Current State: 16:[16, 1], Operations: ['34-18=16', '96-95=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 23, 45, 99 ]
77
[ "45-23=22", "8*22=176", "176-99=77" ]
Current State: 77:[8, 23, 45, 99], Operations: [] Exploring Operation: 45-23=22, Resulting Numbers: [8, 99, 22] Generated Node #2: [8, 99, 22] from Operation: 45-23=22 Current State: 77:[8, 99, 22], Operations: ['45-23=22'] Exploring Operation: 8*22=176, Resulting Numbers: [99, 176] Generated Node #3: [99, 176] from Operation: 8*22=176 Current State: 77:[99, 176], Operations: ['45-23=22', '8*22=176'] Exploring Operation: 176-99=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 33, 44, 8, 80 ]
77
[ "44-33=11", "8+80=88", "88-11=77" ]
Current State: 77:[33, 44, 8, 80], Operations: [] Exploring Operation: 44-33=11, Resulting Numbers: [8, 80, 11] Generated Node #2: [8, 80, 11] from Operation: 44-33=11 Current State: 77:[8, 80, 11], Operations: ['44-33=11'] Exploring Operation: 8+80=88, Resulting Numbers: [11, 88] Generated Node #3: [11, 88] from Operation: 8+80=88 Current State: 77:[11, 88], Operations: ['44-33=11', '8+80=88'] Exploring Operation: 88-11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 41, 21, 14, 70 ]
67
[ "41+21=62", "70/14=5", "62+5=67" ]
Current State: 67:[41, 21, 14, 70], Operations: [] Exploring Operation: 41+21=62, Resulting Numbers: [14, 70, 62] Generated Node #2: [14, 70, 62] from Operation: 41+21=62 Current State: 67:[14, 70, 62], Operations: ['41+21=62'] Exploring Operation: 70/14=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 70/14=5 Current State: 67:[62, 5], Operations: ['41+21=62', '70/14=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 48, 28, 71, 92 ]
41
[ "48-28=20", "92-71=21", "20+21=41" ]
Current State: 41:[48, 28, 71, 92], Operations: [] Exploring Operation: 48-28=20, Resulting Numbers: [71, 92, 20] Generated Node #2: [71, 92, 20] from Operation: 48-28=20 Current State: 41:[71, 92, 20], Operations: ['48-28=20'] Exploring Operation: 92-71=21, Resulting Numbers: [20, 21] Generated Node #3: [20, 21] from Operation: 92-71=21 Current State: 41:[20, 21], Operations: ['48-28=20', '92-71=21'] Exploring Operation: 20+21=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 26, 41, 24, 23 ]
49
[ "26-23=3", "24/3=8", "41+8=49" ]
Current State: 49:[26, 41, 24, 23], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [41, 24, 3] Generated Node #2: [41, 24, 3] from Operation: 26-23=3 Current State: 49:[41, 24, 3], Operations: ['26-23=3'] Exploring Operation: 24/3=8, Resulting Numbers: [41, 8] Generated Node #3: [41, 8] from Operation: 24/3=8 Current State: 49:[41, 8], Operations: ['26-23=3', '24/3=8'] Exploring Operation: 41+8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 48, 67, 97 ]
66
[ "48-12=36", "97-67=30", "36+30=66" ]
Current State: 66:[12, 48, 67, 97], Operations: [] Exploring Operation: 48-12=36, Resulting Numbers: [67, 97, 36] Generated Node #2: [67, 97, 36] from Operation: 48-12=36 Current State: 66:[67, 97, 36], Operations: ['48-12=36'] Exploring Operation: 97-67=30, Resulting Numbers: [36, 30] Generated Node #3: [36, 30] from Operation: 97-67=30 Current State: 66:[36, 30], Operations: ['48-12=36', '97-67=30'] Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 95, 3, 93, 67 ]
68
[ "95-3=92", "93+67=160", "160-92=68" ]
Current State: 68:[95, 3, 93, 67], Operations: [] Exploring Operation: 95-3=92, Resulting Numbers: [93, 67, 92] Generated Node #2: [93, 67, 92] from Operation: 95-3=92 Current State: 68:[93, 67, 92], Operations: ['95-3=92'] Exploring Operation: 93+67=160, Resulting Numbers: [92, 160] Generated Node #3: [92, 160] from Operation: 93+67=160 Current State: 68:[92, 160], Operations: ['95-3=92', '93+67=160'] Exploring Operation: 160-92=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 19, 36, 19, 41 ]
76
[ "19/19=1", "36+41=77", "77-1=76" ]
Current State: 76:[19, 36, 19, 41], Operations: [] Exploring Operation: 19/19=1, Resulting Numbers: [36, 41, 1] Generated Node #2: [36, 41, 1] from Operation: 19/19=1 Current State: 76:[36, 41, 1], Operations: ['19/19=1'] Exploring Operation: 36+41=77, Resulting Numbers: [1, 77] Generated Node #3: [1, 77] from Operation: 36+41=77 Current State: 76:[1, 77], Operations: ['19/19=1', '36+41=77'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 63, 45, 98 ]
59
[ "98/2=49", "63+45=108", "108-49=59" ]
Current State: 59:[2, 63, 45, 98], Operations: [] Exploring Operation: 98/2=49, Resulting Numbers: [63, 45, 49] Generated Node #2: [63, 45, 49] from Operation: 98/2=49 Current State: 59:[63, 45, 49], Operations: ['98/2=49'] Exploring Operation: 63+45=108, Resulting Numbers: [49, 108] Generated Node #3: [49, 108] from Operation: 63+45=108 Current State: 59:[49, 108], Operations: ['98/2=49', '63+45=108'] Exploring Operation: 108-49=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 59, 81, 20, 50 ]
56
[ "59+81=140", "20*140=2800", "2800/50=56" ]
Current State: 56:[59, 81, 20, 50], Operations: [] Exploring Operation: 59+81=140, Resulting Numbers: [20, 50, 140] Generated Node #2: [20, 50, 140] from Operation: 59+81=140 Current State: 56:[20, 50, 140], Operations: ['59+81=140'] Exploring Operation: 20*140=2800, Resulting Numbers: [50, 2800] Generated Node #3: [50, 2800] from Operation: 20*140=2800 Current State: 56:[50, 2800], Operations: ['59+81=140', '20*140=2800'] Exploring Operation: 2800/50=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 9, 13, 7, 98 ]
26
[ "9*13=117", "98-7=91", "117-91=26" ]
Current State: 26:[9, 13, 7, 98], Operations: [] Exploring Operation: 9*13=117, Resulting Numbers: [7, 98, 117] Generated Node #2: [7, 98, 117] from Operation: 9*13=117 Current State: 26:[7, 98, 117], Operations: ['9*13=117'] Exploring Operation: 98-7=91, Resulting Numbers: [117, 91] Generated Node #3: [117, 91] from Operation: 98-7=91 Current State: 26:[117, 91], Operations: ['9*13=117', '98-7=91'] Exploring Operation: 117-91=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4