nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 | search_path stringlengths 505 16.8k | rating float64 0 0.99 | search_type stringclasses 5
values | heuristic stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
52,
36,
21,
62
] | 19 | [
"62-36=26",
"52/26=2",
"21-2=19"
] | Current State: 19:[52, 36, 21, 62], Operations: []
Exploring Operation: 62-36=26, Resulting Numbers: [52, 21, 26]
Generated Node #2: [52, 21, 26] from Operation: 62-36=26
Current State: 19:[52, 21, 26], Operations: ['62-36=26']
Exploring Operation: 52/26=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 52/26=2
Current State: 19:[21, 2], Operations: ['62-36=26', '52/26=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[52, 36, 21, 62], Operations: []
Exploring Operation: 62-52=10, Resulting Numbers: [36, 21, 10]
Generated Node #0,0: 19:[36, 21, 10] Operation: 62-52=10
Exploring Operation: 62-36=26, Resulting Numbers: [52, 21, 26]
Generated Node #0,1: 19:[52, 21, 26] Operation: 62-36=26
Exploring Operation: 52-36=16, Resulting Numbers: [21, 62, 16]
Generated Node #0,2: 19:[21, 62, 16] Operation: 52-36=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[36, 21, 10], Operations: ['62-52=10']
Exploring Operation: 36-21=15, Resulting Numbers: [10, 15]
Generated Node #0,0,0: 19:[10, 15] Operation: 36-21=15
Exploring Operation: 36-10=26, Resulting Numbers: [21, 26]
Generated Node #0,0,1: 19:[21, 26] Operation: 36-10=26
Exploring Operation: 21-10=11, Resulting Numbers: [36, 11]
Generated Node #0,0,2: 19:[36, 11] Operation: 21-10=11
Moving to Node #0,0,1
Current State: 19:[21, 26], Operations: ['62-52=10', '36-10=26']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[10, 15], Operations: ['62-52=10', '36-21=15']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 10*15=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[36, 11], Operations: ['62-52=10', '21-10=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 36*11=396, Resulting Numbers: [396]
396,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[52, 21, 26], Operations: ['62-36=26']
Exploring Operation: 52/26=2, Resulting Numbers: [21, 2]
Generated Node #0,1,0: 19:[21, 2] Operation: 52/26=2
Exploring Operation: 52-21=31, Resulting Numbers: [26, 31]
Generated Node #0,1,1: 19:[26, 31] Operation: 52-21=31
Exploring Operation: 52-26=26, Resulting Numbers: [21, 26]
Generated Node #0,1,2: 19:[21, 26] Operation: 52-26=26
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[21, 26], Operations: ['62-36=26', '52-26=26']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,19 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[21, 2], Operations: ['62-36=26', '52/26=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[52, 36, 21, 62], Operations: []
Exploring Operation: 62-36=26, Resulting Numbers: [52, 21, 26]
Generated Node #0,1: 19:[52, 21, 26] Operation: 62-36=26
Moving to Node #0,1
Current State: 19:[52, 21, 26], Operations: ['62-36=26']
Exploring Operation: 52/26=2, Resulting Numbers: [21, 2]
Generated Node #0,1,0: 19:[21, 2] Operation: 52/26=2
Moving to Node #0,1,0
Current State: 19:[21, 2], Operations: ['62-36=26', '52/26=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
59,
2,
40,
66
] | 92 | [
"59*2=118",
"66-40=26",
"118-26=92"
] | Current State: 92:[59, 2, 40, 66], Operations: []
Exploring Operation: 59*2=118, Resulting Numbers: [40, 66, 118]
Generated Node #2: [40, 66, 118] from Operation: 59*2=118
Current State: 92:[40, 66, 118], Operations: ['59*2=118']
Exploring Operation: 66-40=26, Resulting Numbers: [118, 26]
Generated Node #3: [118, 26] from Operation: 66-40=26
Current State: 92:[118, 26], Operations: ['59*2=118', '66-40=26']
Exploring Operation: 118-26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[59, 2, 40, 66], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [2, 40, 7]
Generated Node #0,0: 92:[2, 40, 7] Operation: 66-59=7
Moving to Node #0,0
Current State: 92:[2, 40, 7], Operations: ['66-59=7']
Exploring Operation: 40+7=47, Resulting Numbers: [2, 47]
Generated Node #0,0,0: 92:[2, 47] Operation: 40+7=47
Moving to Node #0,0,0
Current State: 92:[2, 47], Operations: ['66-59=7', '40+7=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,92 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
90,
54,
96,
27
] | 75 | [
"90+54=144",
"96-27=69",
"144-69=75"
] | Current State: 75:[90, 54, 96, 27], Operations: []
Exploring Operation: 90+54=144, Resulting Numbers: [96, 27, 144]
Generated Node #2: [96, 27, 144] from Operation: 90+54=144
Current State: 75:[96, 27, 144], Operations: ['90+54=144']
Exploring Operation: 96-27=69, Resulting Numbers: [144, 69]
Generated Node #3: [144, 69] from Operation: 96-27=69
Current State: 75:[144, 69], Operations: ['90+54=144', '96-27=69']
Exploring Operation: 144-69=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[90, 54, 96, 27], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [54, 27, 6]
Generated Node #0,0: 75:[54, 27, 6] Operation: 96-90=6
Exploring Operation: 54/27=2, Resulting Numbers: [90, 96, 2]
Generated Node #0,1: 75:[90, 96, 2] Operation: 54/27=2
Exploring Operation: 90-54=36, Resulting Numbers: [96, 27, 36]
Generated Node #0,2: 75:[96, 27, 36] Operation: 90-54=36
Exploring Operation: 96-54=42, Resulting Numbers: [90, 27, 42]
Generated Node #0,3: 75:[90, 27, 42] Operation: 96-54=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[54, 27, 6], Operations: ['96-90=6']
Exploring Operation: 54-27=27, Resulting Numbers: [6, 27]
Generated Node #0,0,0: 75:[6, 27] Operation: 54-27=27
Exploring Operation: 54/6=9, Resulting Numbers: [27, 9]
Generated Node #0,0,1: 75:[27, 9] Operation: 54/6=9
Exploring Operation: 54/27=2, Resulting Numbers: [6, 2]
Generated Node #0,0,2: 75:[6, 2] Operation: 54/27=2
Exploring Operation: 54+27=81, Resulting Numbers: [6, 81]
Generated Node #0,0,3: 75:[6, 81] Operation: 54+27=81
Moving to Node #0,0,2
Current State: 75:[6, 2], Operations: ['96-90=6', '54/27=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[6, 27], Operations: ['96-90=6', '54-27=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,75 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[27, 9], Operations: ['96-90=6', '54/6=9']
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[6, 81], Operations: ['96-90=6', '54+27=81']
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[90, 54, 96, 27], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [54, 27, 6]
Generated Node #0,0: 75:[54, 27, 6] Operation: 96-90=6
Moving to Node #0,0
Current State: 75:[54, 27, 6], Operations: ['96-90=6']
Exploring Operation: 54+27=81, Resulting Numbers: [6, 81]
Generated Node #0,0,3: 75:[6, 81] Operation: 54+27=81
Moving to Node #0,0,3
Current State: 75:[6, 81], Operations: ['96-90=6', '54+27=81']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
2,
20,
16,
46
] | 84 | [
"2+20=22",
"16+46=62",
"22+62=84"
] | Current State: 84:[2, 20, 16, 46], Operations: []
Exploring Operation: 2+20=22, Resulting Numbers: [16, 46, 22]
Generated Node #2: [16, 46, 22] from Operation: 2+20=22
Current State: 84:[16, 46, 22], Operations: ['2+20=22']
Exploring Operation: 16+46=62, Resulting Numbers: [22, 62]
Generated Node #3: [22, 62] from Operation: 16+46=62
Current State: 84:[22, 62], Operations: ['2+20=22', '16+46=62']
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[2, 20, 16, 46], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [2, 46, 4]
Generated Node #0,0: 84:[2, 46, 4] Operation: 20-16=4
Exploring Operation: 46-16=30, Resulting Numbers: [2, 20, 30]
Generated Node #0,1: 84:[2, 20, 30] Operation: 46-16=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[2, 20, 30], Operations: ['46-16=30']
Exploring Operation: 30-2=28, Resulting Numbers: [20, 28]
Generated Node #0,1,0: 84:[20, 28] Operation: 30-2=28
Exploring Operation: 30/2=15, Resulting Numbers: [20, 15]
Generated Node #0,1,1: 84:[20, 15] Operation: 30/2=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[20, 28], Operations: ['46-16=30', '30-2=28']
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,84 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[20, 15], Operations: ['46-16=30', '30/2=15']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[2, 46, 4], Operations: ['20-16=4']
Exploring Operation: 46-2=44, Resulting Numbers: [4, 44]
Generated Node #0,0,0: 84:[4, 44] Operation: 46-2=44
Exploring Operation: 46-4=42, Resulting Numbers: [2, 42]
Generated Node #0,0,1: 84:[2, 42] Operation: 46-4=42
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[2, 42], Operations: ['20-16=4', '46-4=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[2, 20, 16, 46], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [2, 46, 4]
Generated Node #0,0: 84:[2, 46, 4] Operation: 20-16=4
Moving to Node #0,0
Current State: 84:[2, 46, 4], Operations: ['20-16=4']
Exploring Operation: 46-4=42, Resulting Numbers: [2, 42]
Generated Node #0,0,1: 84:[2, 42] Operation: 46-4=42
Moving to Node #0,0,1
Current State: 84:[2, 42], Operations: ['20-16=4', '46-4=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
42,
77,
43,
90
] | 56 | [
"77+43=120",
"42*120=5040",
"5040/90=56"
] | Current State: 56:[42, 77, 43, 90], Operations: []
Exploring Operation: 77+43=120, Resulting Numbers: [42, 90, 120]
Generated Node #2: [42, 90, 120] from Operation: 77+43=120
Current State: 56:[42, 90, 120], Operations: ['77+43=120']
Exploring Operation: 42*120=5040, Resulting Numbers: [90, 5040]
Generated Node #3: [90, 5040] from Operation: 42*120=5040
Current State: 56:[90, 5040], Operations: ['77+43=120', '42*120=5040']
Exploring Operation: 5040/90=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[42, 77, 43, 90], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [42, 43, 13]
Generated Node #0,0: 56:[42, 43, 13] Operation: 90-77=13
Moving to Node #0,0
Current State: 56:[42, 43, 13], Operations: ['90-77=13']
Exploring Operation: 43-42=1, Resulting Numbers: [13, 1]
Generated Node #0,0,0: 56:[13, 1] Operation: 43-42=1
Moving to Node #0,0,0
Current State: 56:[13, 1], Operations: ['90-77=13', '43-42=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,56 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
30,
59,
34
] | 14 | [
"59-3=56",
"34-30=4",
"56/4=14"
] | Current State: 14:[3, 30, 59, 34], Operations: []
Exploring Operation: 59-3=56, Resulting Numbers: [30, 34, 56]
Generated Node #2: [30, 34, 56] from Operation: 59-3=56
Current State: 14:[30, 34, 56], Operations: ['59-3=56']
Exploring Operation: 34-30=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 34-30=4
Current State: 14:[56, 4], Operations: ['59-3=56', '34-30=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[3, 30, 59, 34], Operations: []
Exploring Operation: 30/3=10, Resulting Numbers: [59, 34, 10]
Generated Node #0,0: 14:[59, 34, 10] Operation: 30/3=10
Exploring Operation: 34-30=4, Resulting Numbers: [3, 59, 4]
Generated Node #0,1: 14:[3, 59, 4] Operation: 34-30=4
Exploring Operation: 59-30=29, Resulting Numbers: [3, 34, 29]
Generated Node #0,2: 14:[3, 34, 29] Operation: 59-30=29
Exploring Operation: 59-34=25, Resulting Numbers: [3, 30, 25]
Generated Node #0,3: 14:[3, 30, 25] Operation: 59-34=25
Moving to Node #0,3
Current State: 14:[3, 30, 25], Operations: ['59-34=25']
Exploring Operation: 30/3=10, Resulting Numbers: [25, 10]
Generated Node #0,3,0: 14:[25, 10] Operation: 30/3=10
Exploring Operation: 25-3=22, Resulting Numbers: [30, 22]
Generated Node #0,3,1: 14:[30, 22] Operation: 25-3=22
Exploring Operation: 30-3=27, Resulting Numbers: [25, 27]
Generated Node #0,3,2: 14:[25, 27] Operation: 30-3=27
Exploring Operation: 30-25=5, Resulting Numbers: [3, 5]
Generated Node #0,3,3: 14:[3, 5] Operation: 30-25=5
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[3, 5], Operations: ['59-34=25', '30-25=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 14:[25, 10], Operations: ['59-34=25', '30/3=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 14:[30, 22], Operations: ['59-34=25', '25-3=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 30*22=660, Resulting Numbers: [660]
660,14 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 14:[25, 27], Operations: ['59-34=25', '30-3=27']
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,14 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 14:[3, 34, 29], Operations: ['59-30=29']
Exploring Operation: 29-3=26, Resulting Numbers: [34, 26]
Generated Node #0,2,0: 14:[34, 26] Operation: 29-3=26
Exploring Operation: 34-3=31, Resulting Numbers: [29, 31]
Generated Node #0,2,1: 14:[29, 31] Operation: 34-3=31
Exploring Operation: 34-29=5, Resulting Numbers: [3, 5]
Generated Node #0,2,2: 14:[3, 5] Operation: 34-29=5
Exploring Operation: 3+34=37, Resulting Numbers: [29, 37]
Generated Node #0,2,3: 14:[29, 37] Operation: 3+34=37
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[3, 5], Operations: ['59-30=29', '34-29=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[34, 26], Operations: ['59-30=29', '29-3=26']
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,14 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[29, 31], Operations: ['59-30=29', '34-3=31']
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 29*31=899, Resulting Numbers: [899]
899,14 unequal: No Solution
Exploring Operation: 29+31=60, Resulting Numbers: [60]
60,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[29, 37], Operations: ['59-30=29', '3+34=37']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,14 unequal: No Solution
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 14:[3, 59, 4], Operations: ['34-30=4']
Exploring Operation: 59-4=55, Resulting Numbers: [3, 55]
Generated Node #0,1,0: 14:[3, 55] Operation: 59-4=55
Exploring Operation: 3+4=7, Resulting Numbers: [59, 7]
Generated Node #0,1,1: 14:[59, 7] Operation: 3+4=7
Exploring Operation: 4-3=1, Resulting Numbers: [59, 1]
Generated Node #0,1,2: 14:[59, 1] Operation: 4-3=1
Exploring Operation: 59-3=56, Resulting Numbers: [4, 56]
Generated Node #0,1,3: 14:[4, 56] Operation: 59-3=56
Moving to Node #0,0
Current State: 14:[59, 34, 10], Operations: ['30/3=10']
Exploring Operation: 59-10=49, Resulting Numbers: [34, 49]
Generated Node #0,0,0: 14:[34, 49] Operation: 59-10=49
Exploring Operation: 59+10=69, Resulting Numbers: [34, 69]
Generated Node #0,0,1: 14:[34, 69] Operation: 59+10=69
Exploring Operation: 34-10=24, Resulting Numbers: [59, 24]
Generated Node #0,0,2: 14:[59, 24] Operation: 34-10=24
Exploring Operation: 59-34=25, Resulting Numbers: [10, 25]
Generated Node #0,0,3: 14:[10, 25] Operation: 59-34=25
Moving to Node #0,0,3
Current State: 14:[10, 25], Operations: ['30/3=10', '59-34=25']
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,14 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[3, 55], Operations: ['34-30=4', '59-4=55']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[4, 56], Operations: ['34-30=4', '59-3=56']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 4*56=224, Resulting Numbers: [224]
224,14 unequal: No Solution
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,14 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[3, 30, 59, 34], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [3, 59, 4]
Generated Node #0,1: 14:[3, 59, 4] Operation: 34-30=4
Moving to Node #0,1
Current State: 14:[3, 59, 4], Operations: ['34-30=4']
Exploring Operation: 59-3=56, Resulting Numbers: [4, 56]
Generated Node #0,1,3: 14:[4, 56] Operation: 59-3=56
Moving to Node #0,1,3
Current State: 14:[4, 56], Operations: ['34-30=4', '59-3=56']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.949653 | hs_4 | mult_heuristic |
[
34,
45,
80,
63
] | 28 | [
"45-34=11",
"80-63=17",
"11+17=28"
] | Current State: 28:[34, 45, 80, 63], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [80, 63, 11]
Generated Node #2: [80, 63, 11] from Operation: 45-34=11
Current State: 28:[80, 63, 11], Operations: ['45-34=11']
Exploring Operation: 80-63=17, Resulting Numbers: [11, 17]
Generated Node #3: [11, 17] from Operation: 80-63=17
Current State: 28:[11, 17], Operations: ['45-34=11', '80-63=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[34, 45, 80, 63], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [34, 45, 17]
Generated Node #0,0: 28:[34, 45, 17] Operation: 80-63=17
Exploring Operation: 80-45=35, Resulting Numbers: [34, 63, 35]
Generated Node #0,1: 28:[34, 63, 35] Operation: 80-45=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[34, 45, 17], Operations: ['80-63=17']
Exploring Operation: 45-34=11, Resulting Numbers: [17, 11]
Generated Node #0,0,0: 28:[17, 11] Operation: 45-34=11
Exploring Operation: 45-17=28, Resulting Numbers: [34, 28]
Generated Node #0,0,1: 28:[34, 28] Operation: 45-17=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[17, 11], Operations: ['80-63=17', '45-34=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[34, 45, 80, 63], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [34, 45, 17]
Generated Node #0,0: 28:[34, 45, 17] Operation: 80-63=17
Moving to Node #0,0
Current State: 28:[34, 45, 17], Operations: ['80-63=17']
Exploring Operation: 45-34=11, Resulting Numbers: [17, 11]
Generated Node #0,0,0: 28:[17, 11] Operation: 45-34=11
Moving to Node #0,0,0
Current State: 28:[17, 11], Operations: ['80-63=17', '45-34=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
15,
41,
47,
7
] | 97 | [
"47-41=6",
"15*6=90",
"7+90=97"
] | Current State: 97:[15, 41, 47, 7], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [15, 7, 6]
Generated Node #2: [15, 7, 6] from Operation: 47-41=6
Current State: 97:[15, 7, 6], Operations: ['47-41=6']
Exploring Operation: 15*6=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 15*6=90
Current State: 97:[7, 90], Operations: ['47-41=6', '15*6=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[15, 41, 47, 7], Operations: []
Exploring Operation: 15+7=22, Resulting Numbers: [41, 47, 22]
Generated Node #0,0: 97:[41, 47, 22] Operation: 15+7=22
Exploring Operation: 15+47=62, Resulting Numbers: [41, 7, 62]
Generated Node #0,1: 97:[41, 7, 62] Operation: 15+47=62
Exploring Operation: 15+41=56, Resulting Numbers: [47, 7, 56]
Generated Node #0,2: 97:[47, 7, 56] Operation: 15+41=56
Exploring Operation: 15*7=105, Resulting Numbers: [41, 47, 105]
Generated Node #0,3: 97:[41, 47, 105] Operation: 15*7=105
Moving to Node #0,3
Current State: 97:[41, 47, 105], Operations: ['15*7=105']
Exploring Operation: 47-41=6, Resulting Numbers: [105, 6]
Generated Node #0,3,0: 97:[105, 6] Operation: 47-41=6
Exploring Operation: 41+47=88, Resulting Numbers: [105, 88]
Generated Node #0,3,1: 97:[105, 88] Operation: 41+47=88
Exploring Operation: 105-41=64, Resulting Numbers: [47, 64]
Generated Node #0,3,2: 97:[47, 64] Operation: 105-41=64
Exploring Operation: 105-47=58, Resulting Numbers: [41, 58]
Generated Node #0,3,3: 97:[41, 58] Operation: 105-47=58
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[105, 88], Operations: ['15*7=105', '41+47=88']
Exploring Operation: 105-88=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 105*88=9240, Resulting Numbers: [9240]
9240,97 unequal: No Solution
Exploring Operation: 105+88=193, Resulting Numbers: [193]
193,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[47, 64], Operations: ['15*7=105', '105-41=64']
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,97 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,97 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[41, 58], Operations: ['15*7=105', '105-47=58']
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 41*58=2378, Resulting Numbers: [2378]
2378,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[105, 6], Operations: ['15*7=105', '47-41=6']
Exploring Operation: 105-6=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 105*6=630, Resulting Numbers: [630]
630,97 unequal: No Solution
Exploring Operation: 105+6=111, Resulting Numbers: [111]
111,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 97:[41, 7, 62], Operations: ['15+47=62']
Exploring Operation: 41+62=103, Resulting Numbers: [7, 103]
Generated Node #0,1,0: 97:[7, 103] Operation: 41+62=103
Exploring Operation: 41-7=34, Resulting Numbers: [62, 34]
Generated Node #0,1,1: 97:[62, 34] Operation: 41-7=34
Exploring Operation: 7+62=69, Resulting Numbers: [41, 69]
Generated Node #0,1,2: 97:[41, 69] Operation: 7+62=69
Exploring Operation: 41+7=48, Resulting Numbers: [62, 48]
Generated Node #0,1,3: 97:[62, 48] Operation: 41+7=48
Moving to Node #0,0
Current State: 97:[41, 47, 22], Operations: ['15+7=22']
Exploring Operation: 47+22=69, Resulting Numbers: [41, 69]
Generated Node #0,0,0: 97:[41, 69] Operation: 47+22=69
Exploring Operation: 41+22=63, Resulting Numbers: [47, 63]
Generated Node #0,0,1: 97:[47, 63] Operation: 41+22=63
Exploring Operation: 41-22=19, Resulting Numbers: [47, 19]
Generated Node #0,0,2: 97:[47, 19] Operation: 41-22=19
Exploring Operation: 41+47=88, Resulting Numbers: [22, 88]
Generated Node #0,0,3: 97:[22, 88] Operation: 41+47=88
Moving to Node #0,2
Current State: 97:[47, 7, 56], Operations: ['15+41=56']
Exploring Operation: 7+56=63, Resulting Numbers: [47, 63]
Generated Node #0,2,0: 97:[47, 63] Operation: 7+56=63
Exploring Operation: 47+7=54, Resulting Numbers: [56, 54]
Generated Node #0,2,1: 97:[56, 54] Operation: 47+7=54
Exploring Operation: 47+56=103, Resulting Numbers: [7, 103]
Generated Node #0,2,2: 97:[7, 103] Operation: 47+56=103
Exploring Operation: 47-7=40, Resulting Numbers: [56, 40]
Generated Node #0,2,3: 97:[56, 40] Operation: 47-7=40
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[47, 63], Operations: ['15+41=56', '7+56=63']
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 47*63=2961, Resulting Numbers: [2961]
2961,97 unequal: No Solution
Exploring Operation: 47+63=110, Resulting Numbers: [110]
110,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[56, 54], Operations: ['15+41=56', '47+7=54']
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 56+54=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 56*54=3024, Resulting Numbers: [3024]
3024,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[7, 103], Operations: ['15+41=56', '47+56=103']
Exploring Operation: 7+103=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 103-7=96, Resulting Numbers: [96]
96,97 unequal: No Solution
Exploring Operation: 7*103=721, Resulting Numbers: [721]
721,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[56, 40], Operations: ['15+41=56', '47-7=40']
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 56*40=2240, Resulting Numbers: [2240]
2240,97 unequal: No Solution
Exploring Operation: 56+40=96, Resulting Numbers: [96]
96,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 97:[41, 69], Operations: ['15+47=62', '7+62=69']
Exploring Operation: 41+69=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 41*69=2829, Resulting Numbers: [2829]
2829,97 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[47, 63], Operations: ['15+7=22', '41+22=63']
Exploring Operation: 47+63=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 47*63=2961, Resulting Numbers: [2961]
2961,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[22, 88], Operations: ['15+7=22', '41+47=88']
Exploring Operation: 22*88=1936, Resulting Numbers: [1936]
1936,97 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,97 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 22+88=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[62, 48], Operations: ['15+47=62', '41+7=48']
Exploring Operation: 62*48=2976, Resulting Numbers: [2976]
2976,97 unequal: No Solution
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,97 unequal: No Solution
Exploring Operation: 62+48=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[41, 69], Operations: ['15+7=22', '47+22=69']
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 41+69=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 41*69=2829, Resulting Numbers: [2829]
2829,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[7, 103], Operations: ['15+47=62', '41+62=103']
Exploring Operation: 7+103=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 103-7=96, Resulting Numbers: [96]
96,97 unequal: No Solution
Exploring Operation: 7*103=721, Resulting Numbers: [721]
721,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[62, 34], Operations: ['15+47=62', '41-7=34']
Exploring Operation: 62+34=96, Resulting Numbers: [96]
96,97 unequal: No Solution
Exploring Operation: 62*34=2108, Resulting Numbers: [2108]
2108,97 unequal: No Solution
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[47, 19], Operations: ['15+7=22', '41-22=19']
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,97 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,97 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
20,
59,
88,
3
] | 69 | [
"20+88=108",
"59*3=177",
"177-108=69"
] | Current State: 69:[20, 59, 88, 3], Operations: []
Exploring Operation: 20+88=108, Resulting Numbers: [59, 3, 108]
Generated Node #2: [59, 3, 108] from Operation: 20+88=108
Current State: 69:[59, 3, 108], Operations: ['20+88=108']
Exploring Operation: 59*3=177, Resulting Numbers: [108, 177]
Generated Node #3: [108, 177] from Operation: 59*3=177
Current State: 69:[108, 177], Operations: ['20+88=108', '59*3=177']
Exploring Operation: 177-108=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[20, 59, 88, 3], Operations: []
Exploring Operation: 88-59=29, Resulting Numbers: [20, 3, 29]
Generated Node #0,0: 69:[20, 3, 29] Operation: 88-59=29
Exploring Operation: 88-20=68, Resulting Numbers: [59, 3, 68]
Generated Node #0,1: 69:[59, 3, 68] Operation: 88-20=68
Exploring Operation: 20+59=79, Resulting Numbers: [88, 3, 79]
Generated Node #0,2: 69:[88, 3, 79] Operation: 20+59=79
Exploring Operation: 20+3=23, Resulting Numbers: [59, 88, 23]
Generated Node #0,3: 69:[59, 88, 23] Operation: 20+3=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[20, 3, 29], Operations: ['88-59=29']
Exploring Operation: 29-3=26, Resulting Numbers: [20, 26]
Generated Node #0,0,0: 69:[20, 26] Operation: 29-3=26
Exploring Operation: 20+3=23, Resulting Numbers: [29, 23]
Generated Node #0,0,1: 69:[29, 23] Operation: 20+3=23
Exploring Operation: 20-3=17, Resulting Numbers: [29, 17]
Generated Node #0,0,2: 69:[29, 17] Operation: 20-3=17
Exploring Operation: 29-20=9, Resulting Numbers: [3, 9]
Generated Node #0,0,3: 69:[3, 9] Operation: 29-20=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[20, 26], Operations: ['88-59=29', '29-3=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,69 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[29, 23], Operations: ['88-59=29', '20+3=23']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,69 unequal: No Solution
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 69:[3, 9], Operations: ['88-59=29', '29-20=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[29, 17], Operations: ['88-59=29', '20-3=17']
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,69 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,69 unequal: No Solution
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[59, 3, 68], Operations: ['88-20=68']
Exploring Operation: 59+3=62, Resulting Numbers: [68, 62]
Generated Node #0,1,0: 69:[68, 62] Operation: 59+3=62
Exploring Operation: 68-59=9, Resulting Numbers: [3, 9]
Generated Node #0,1,1: 69:[3, 9] Operation: 68-59=9
Exploring Operation: 59-3=56, Resulting Numbers: [68, 56]
Generated Node #0,1,2: 69:[68, 56] Operation: 59-3=56
Exploring Operation: 3+68=71, Resulting Numbers: [59, 71]
Generated Node #0,1,3: 69:[59, 71] Operation: 3+68=71
Moving to Node #0,1,1
Current State: 69:[3, 9], Operations: ['88-20=68', '68-59=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,69 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[68, 62], Operations: ['88-20=68', '59+3=62']
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,69 unequal: No Solution
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[59, 71], Operations: ['88-20=68', '3+68=71']
Exploring Operation: 59*71=4189, Resulting Numbers: [4189]
4189,69 unequal: No Solution
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 59+71=130, Resulting Numbers: [130]
130,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[68, 56], Operations: ['88-20=68', '59-3=56']
Exploring Operation: 68*56=3808, Resulting Numbers: [3808]
3808,69 unequal: No Solution
Exploring Operation: 68+56=124, Resulting Numbers: [124]
124,69 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[88, 3, 79], Operations: ['20+59=79']
Exploring Operation: 79-3=76, Resulting Numbers: [88, 76]
Generated Node #0,2,0: 69:[88, 76] Operation: 79-3=76
Exploring Operation: 88+3=91, Resulting Numbers: [79, 91]
Generated Node #0,2,1: 69:[79, 91] Operation: 88+3=91
Exploring Operation: 88-79=9, Resulting Numbers: [3, 9]
Generated Node #0,2,2: 69:[3, 9] Operation: 88-79=9
Exploring Operation: 88-3=85, Resulting Numbers: [79, 85]
Generated Node #0,2,3: 69:[79, 85] Operation: 88-3=85
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[3, 9], Operations: ['20+59=79', '88-79=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,69 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[88, 76], Operations: ['20+59=79', '79-3=76']
Exploring Operation: 88*76=6688, Resulting Numbers: [6688]
6688,69 unequal: No Solution
Exploring Operation: 88+76=164, Resulting Numbers: [164]
164,69 unequal: No Solution
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 69:[79, 85], Operations: ['20+59=79', '88-3=85']
Exploring Operation: 85-79=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 79+85=164, Resulting Numbers: [164]
164,69 unequal: No Solution
Exploring Operation: 79*85=6715, Resulting Numbers: [6715]
6715,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[79, 91], Operations: ['20+59=79', '88+3=91']
Exploring Operation: 79*91=7189, Resulting Numbers: [7189]
7189,69 unequal: No Solution
Exploring Operation: 79+91=170, Resulting Numbers: [170]
170,69 unequal: No Solution
Exploring Operation: 91-79=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[59, 88, 23], Operations: ['20+3=23']
Exploring Operation: 88-59=29, Resulting Numbers: [23, 29]
Generated Node #0,3,0: 69:[23, 29] Operation: 88-59=29
Exploring Operation: 59+23=82, Resulting Numbers: [88, 82]
Generated Node #0,3,1: 69:[88, 82] Operation: 59+23=82
Exploring Operation: 59-23=36, Resulting Numbers: [88, 36]
Generated Node #0,3,2: 69:[88, 36] Operation: 59-23=36
Exploring Operation: 88-23=65, Resulting Numbers: [59, 65]
Generated Node #0,3,3: 69:[59, 65] Operation: 88-23=65
Moving to Node #0,3,0
Current State: 69:[23, 29], Operations: ['20+3=23', '88-59=29']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[59, 65], Operations: ['20+3=23', '88-23=65']
Exploring Operation: 59+65=124, Resulting Numbers: [124]
124,69 unequal: No Solution
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 59*65=3835, Resulting Numbers: [3835]
3835,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[88, 36], Operations: ['20+3=23', '59-23=36']
Exploring Operation: 88+36=124, Resulting Numbers: [124]
124,69 unequal: No Solution
Exploring Operation: 88*36=3168, Resulting Numbers: [3168]
3168,69 unequal: No Solution
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[88, 82], Operations: ['20+3=23', '59+23=82']
Exploring Operation: 88+82=170, Resulting Numbers: [170]
170,69 unequal: No Solution
Exploring Operation: 88*82=7216, Resulting Numbers: [7216]
7216,69 unequal: No Solution
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
89,
73,
33,
6
] | 55 | [
"89-73=16",
"33+6=39",
"16+39=55"
] | Current State: 55:[89, 73, 33, 6], Operations: []
Exploring Operation: 89-73=16, Resulting Numbers: [33, 6, 16]
Generated Node #2: [33, 6, 16] from Operation: 89-73=16
Current State: 55:[33, 6, 16], Operations: ['89-73=16']
Exploring Operation: 33+6=39, Resulting Numbers: [16, 39]
Generated Node #3: [16, 39] from Operation: 33+6=39
Current State: 55:[16, 39], Operations: ['89-73=16', '33+6=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[89, 73, 33, 6], Operations: []
Exploring Operation: 89-73=16, Resulting Numbers: [33, 6, 16]
Generated Node #0,0: 55:[33, 6, 16] Operation: 89-73=16
Exploring Operation: 73-6=67, Resulting Numbers: [89, 33, 67]
Generated Node #0,1: 55:[89, 33, 67] Operation: 73-6=67
Exploring Operation: 73-33=40, Resulting Numbers: [89, 6, 40]
Generated Node #0,2: 55:[89, 6, 40] Operation: 73-33=40
Exploring Operation: 89-33=56, Resulting Numbers: [73, 6, 56]
Generated Node #0,3: 55:[73, 6, 56] Operation: 89-33=56
Exploring Operation: 89-6=83, Resulting Numbers: [73, 33, 83]
Generated Node #0,4: 55:[73, 33, 83] Operation: 89-6=83
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[73, 6, 56], Operations: ['89-33=56']
Exploring Operation: 73+6=79, Resulting Numbers: [56, 79]
Generated Node #0,3,0: 55:[56, 79] Operation: 73+6=79
Exploring Operation: 6+56=62, Resulting Numbers: [73, 62]
Generated Node #0,3,1: 55:[73, 62] Operation: 6+56=62
Exploring Operation: 73-6=67, Resulting Numbers: [56, 67]
Generated Node #0,3,2: 55:[56, 67] Operation: 73-6=67
Exploring Operation: 56-6=50, Resulting Numbers: [73, 50]
Generated Node #0,3,3: 55:[73, 50] Operation: 56-6=50
Exploring Operation: 73-56=17, Resulting Numbers: [6, 17]
Generated Node #0,3,4: 55:[6, 17] Operation: 73-56=17
Moving to Node #0,3,4
Current State: 55:[6, 17], Operations: ['89-33=56', '73-56=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[56, 67], Operations: ['89-33=56', '73-6=67']
Exploring Operation: 56*67=3752, Resulting Numbers: [3752]
3752,55 unequal: No Solution
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 56+67=123, Resulting Numbers: [123]
123,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[73, 50], Operations: ['89-33=56', '56-6=50']
Exploring Operation: 73-50=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 73+50=123, Resulting Numbers: [123]
123,55 unequal: No Solution
Exploring Operation: 73*50=3650, Resulting Numbers: [3650]
3650,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[56, 79], Operations: ['89-33=56', '73+6=79']
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 56*79=4424, Resulting Numbers: [4424]
4424,55 unequal: No Solution
Exploring Operation: 56+79=135, Resulting Numbers: [135]
135,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[73, 62], Operations: ['89-33=56', '6+56=62']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 73*62=4526, Resulting Numbers: [4526]
4526,55 unequal: No Solution
Exploring Operation: 73+62=135, Resulting Numbers: [135]
135,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[33, 6, 16], Operations: ['89-73=16']
Exploring Operation: 33-16=17, Resulting Numbers: [6, 17]
Generated Node #0,0,0: 55:[6, 17] Operation: 33-16=17
Exploring Operation: 33+6=39, Resulting Numbers: [16, 39]
Generated Node #0,0,1: 55:[16, 39] Operation: 33+6=39
Exploring Operation: 16-6=10, Resulting Numbers: [33, 10]
Generated Node #0,0,2: 55:[33, 10] Operation: 16-6=10
Exploring Operation: 33-6=27, Resulting Numbers: [16, 27]
Generated Node #0,0,3: 55:[16, 27] Operation: 33-6=27
Exploring Operation: 33+16=49, Resulting Numbers: [6, 49]
Generated Node #0,0,4: 55:[6, 49] Operation: 33+16=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[6, 17], Operations: ['89-73=16', '33-16=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 55:[6, 49], Operations: ['89-73=16', '33+16=49']
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,55 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,55 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[89, 73, 33, 6], Operations: []
Exploring Operation: 89-73=16, Resulting Numbers: [33, 6, 16]
Generated Node #0,0: 55:[33, 6, 16] Operation: 89-73=16
Moving to Node #0,0
Current State: 55:[33, 6, 16], Operations: ['89-73=16']
Exploring Operation: 33+16=49, Resulting Numbers: [6, 49]
Generated Node #0,0,4: 55:[6, 49] Operation: 33+16=49
Moving to Node #0,0,4
Current State: 55:[6, 49], Operations: ['89-73=16', '33+16=49']
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 | hs_5 | sum_heuristic |
[
48,
16,
62,
40
] | 44 | [
"48+62=110",
"16*110=1760",
"1760/40=44"
] | Current State: 44:[48, 16, 62, 40], Operations: []
Exploring Operation: 48+62=110, Resulting Numbers: [16, 40, 110]
Generated Node #2: [16, 40, 110] from Operation: 48+62=110
Current State: 44:[16, 40, 110], Operations: ['48+62=110']
Exploring Operation: 16*110=1760, Resulting Numbers: [40, 1760]
Generated Node #3: [40, 1760] from Operation: 16*110=1760
Current State: 44:[40, 1760], Operations: ['48+62=110', '16*110=1760']
Exploring Operation: 1760/40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[48, 16, 62, 40], Operations: []
Exploring Operation: 62-40=22, Resulting Numbers: [48, 16, 22]
Generated Node #0,0: 44:[48, 16, 22] Operation: 62-40=22
Exploring Operation: 62-16=46, Resulting Numbers: [48, 40, 46]
Generated Node #0,1: 44:[48, 40, 46] Operation: 62-16=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[48, 16, 22], Operations: ['62-40=22']
Exploring Operation: 48/16=3, Resulting Numbers: [22, 3]
Generated Node #0,0,0: 44:[22, 3] Operation: 48/16=3
Exploring Operation: 22-16=6, Resulting Numbers: [48, 6]
Generated Node #0,0,1: 44:[48, 6] Operation: 22-16=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[22, 3], Operations: ['62-40=22', '48/16=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[48, 6], Operations: ['62-40=22', '22-16=6']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,44 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[48, 40, 46], Operations: ['62-16=46']
Exploring Operation: 48-40=8, Resulting Numbers: [46, 8]
Generated Node #0,1,0: 44:[46, 8] Operation: 48-40=8
Exploring Operation: 48-46=2, Resulting Numbers: [40, 2]
Generated Node #0,1,1: 44:[40, 2] Operation: 48-46=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[40, 2], Operations: ['62-16=46', '48-46=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[46, 8], Operations: ['62-16=46', '48-40=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,44 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
14,
70,
99,
56
] | 25 | [
"56/14=4",
"99-70=29",
"29-4=25"
] | Current State: 25:[14, 70, 99, 56], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [70, 99, 4]
Generated Node #2: [70, 99, 4] from Operation: 56/14=4
Current State: 25:[70, 99, 4], Operations: ['56/14=4']
Exploring Operation: 99-70=29, Resulting Numbers: [4, 29]
Generated Node #3: [4, 29] from Operation: 99-70=29
Current State: 25:[4, 29], Operations: ['56/14=4', '99-70=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[14, 70, 99, 56], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [14, 56, 29]
Generated Node #0,0: 25:[14, 56, 29] Operation: 99-70=29
Moving to Node #0,0
Current State: 25:[14, 56, 29], Operations: ['99-70=29']
Exploring Operation: 56/14=4, Resulting Numbers: [29, 4]
Generated Node #0,0,0: 25:[29, 4] Operation: 56/14=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[29, 4], Operations: ['99-70=29', '56/14=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[14, 70, 99, 56], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [14, 56, 29]
Generated Node #0,0: 25:[14, 56, 29] Operation: 99-70=29
Moving to Node #0,0
Current State: 25:[14, 56, 29], Operations: ['99-70=29']
Exploring Operation: 56/14=4, Resulting Numbers: [29, 4]
Generated Node #0,0,0: 25:[29, 4] Operation: 56/14=4
Moving to Node #0,0,0
Current State: 25:[29, 4], Operations: ['99-70=29', '56/14=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
10,
41,
20,
34
] | 23 | [
"41-10=31",
"20+34=54",
"54-31=23"
] | Current State: 23:[10, 41, 20, 34], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [20, 34, 31]
Generated Node #2: [20, 34, 31] from Operation: 41-10=31
Current State: 23:[20, 34, 31], Operations: ['41-10=31']
Exploring Operation: 20+34=54, Resulting Numbers: [31, 54]
Generated Node #3: [31, 54] from Operation: 20+34=54
Current State: 23:[31, 54], Operations: ['41-10=31', '20+34=54']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[10, 41, 20, 34], Operations: []
Exploring Operation: 41-20=21, Resulting Numbers: [10, 34, 21]
Generated Node #0,0: 23:[10, 34, 21] Operation: 41-20=21
Exploring Operation: 41-10=31, Resulting Numbers: [20, 34, 31]
Generated Node #0,1: 23:[20, 34, 31] Operation: 41-10=31
Exploring Operation: 34-10=24, Resulting Numbers: [41, 20, 24]
Generated Node #0,2: 23:[41, 20, 24] Operation: 34-10=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[20, 34, 31], Operations: ['41-10=31']
Exploring Operation: 31-20=11, Resulting Numbers: [34, 11]
Generated Node #0,1,0: 23:[34, 11] Operation: 31-20=11
Exploring Operation: 34-20=14, Resulting Numbers: [31, 14]
Generated Node #0,1,1: 23:[31, 14] Operation: 34-20=14
Exploring Operation: 34-31=3, Resulting Numbers: [20, 3]
Generated Node #0,1,2: 23:[20, 3] Operation: 34-31=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 23:[31, 14], Operations: ['41-10=31', '34-20=14']
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,23 unequal: No Solution
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[34, 11], Operations: ['41-10=31', '31-20=11']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[10, 41, 20, 34], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [20, 34, 31]
Generated Node #0,1: 23:[20, 34, 31] Operation: 41-10=31
Moving to Node #0,1
Current State: 23:[20, 34, 31], Operations: ['41-10=31']
Exploring Operation: 31-20=11, Resulting Numbers: [34, 11]
Generated Node #0,1,0: 23:[34, 11] Operation: 31-20=11
Moving to Node #0,1,0
Current State: 23:[34, 11], Operations: ['41-10=31', '31-20=11']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
73,
26,
69,
27
] | 77 | [
"73-69=4",
"26*4=104",
"104-27=77"
] | Current State: 77:[73, 26, 69, 27], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [26, 27, 4]
Generated Node #2: [26, 27, 4] from Operation: 73-69=4
Current State: 77:[26, 27, 4], Operations: ['73-69=4']
Exploring Operation: 26*4=104, Resulting Numbers: [27, 104]
Generated Node #3: [27, 104] from Operation: 26*4=104
Current State: 77:[27, 104], Operations: ['73-69=4', '26*4=104']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[73, 26, 69, 27], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [73, 69, 1]
Generated Node #0,0: 77:[73, 69, 1] Operation: 27-26=1
Exploring Operation: 73-69=4, Resulting Numbers: [26, 27, 4]
Generated Node #0,1: 77:[26, 27, 4] Operation: 73-69=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[73, 69, 1], Operations: ['27-26=1']
Exploring Operation: 73-69=4, Resulting Numbers: [1, 4]
Generated Node #0,0,0: 77:[1, 4] Operation: 73-69=4
Exploring Operation: 73+1=74, Resulting Numbers: [69, 74]
Generated Node #0,0,1: 77:[69, 74] Operation: 73+1=74
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[1, 4], Operations: ['27-26=1', '73-69=4']
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[69, 74], Operations: ['27-26=1', '73+1=74']
Exploring Operation: 74-69=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 69+74=143, Resulting Numbers: [143]
143,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[26, 27, 4], Operations: ['73-69=4']
Exploring Operation: 26+27=53, Resulting Numbers: [4, 53]
Generated Node #0,1,0: 77:[4, 53] Operation: 26+27=53
Exploring Operation: 27-26=1, Resulting Numbers: [4, 1]
Generated Node #0,1,1: 77:[4, 1] Operation: 27-26=1
Moving to Node #0,1,1
Current State: 77:[4, 1], Operations: ['73-69=4', '27-26=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[4, 53], Operations: ['73-69=4', '26+27=53']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,77 unequal: No Solution
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
67,
30,
46,
83
] | 32 | [
"67+30=97",
"46+83=129",
"129-97=32"
] | Current State: 32:[67, 30, 46, 83], Operations: []
Exploring Operation: 67+30=97, Resulting Numbers: [46, 83, 97]
Generated Node #2: [46, 83, 97] from Operation: 67+30=97
Current State: 32:[46, 83, 97], Operations: ['67+30=97']
Exploring Operation: 46+83=129, Resulting Numbers: [97, 129]
Generated Node #3: [97, 129] from Operation: 46+83=129
Current State: 32:[97, 129], Operations: ['67+30=97', '46+83=129']
Exploring Operation: 129-97=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[67, 30, 46, 83], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [30, 46, 16]
Generated Node #0,0: 32:[30, 46, 16] Operation: 83-67=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[30, 46, 16], Operations: ['83-67=16']
Exploring Operation: 46-30=16, Resulting Numbers: [16, 16]
Generated Node #0,0,0: 32:[16, 16] Operation: 46-30=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[16, 16], Operations: ['83-67=16', '46-30=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[67, 30, 46, 83], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [30, 46, 16]
Generated Node #0,0: 32:[30, 46, 16] Operation: 83-67=16
Moving to Node #0,0
Current State: 32:[30, 46, 16], Operations: ['83-67=16']
Exploring Operation: 46-30=16, Resulting Numbers: [16, 16]
Generated Node #0,0,0: 32:[16, 16] Operation: 46-30=16
Moving to Node #0,0,0
Current State: 32:[16, 16], Operations: ['83-67=16', '46-30=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
1,
56,
47,
62
] | 70 | [
"56-1=55",
"62-47=15",
"55+15=70"
] | Current State: 70:[1, 56, 47, 62], Operations: []
Exploring Operation: 56-1=55, Resulting Numbers: [47, 62, 55]
Generated Node #2: [47, 62, 55] from Operation: 56-1=55
Current State: 70:[47, 62, 55], Operations: ['56-1=55']
Exploring Operation: 62-47=15, Resulting Numbers: [55, 15]
Generated Node #3: [55, 15] from Operation: 62-47=15
Current State: 70:[55, 15], Operations: ['56-1=55', '62-47=15']
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[1, 56, 47, 62], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [1, 56, 15]
Generated Node #0,0: 70:[1, 56, 15] Operation: 62-47=15
Exploring Operation: 56-47=9, Resulting Numbers: [1, 62, 9]
Generated Node #0,1: 70:[1, 62, 9] Operation: 56-47=9
Exploring Operation: 62-56=6, Resulting Numbers: [1, 47, 6]
Generated Node #0,2: 70:[1, 47, 6] Operation: 62-56=6
Moving to Node #0,1
Current State: 70:[1, 62, 9], Operations: ['56-47=9']
Exploring Operation: 1+62=63, Resulting Numbers: [9, 63]
Generated Node #0,1,0: 70:[9, 63] Operation: 1+62=63
Exploring Operation: 1+9=10, Resulting Numbers: [62, 10]
Generated Node #0,1,1: 70:[62, 10] Operation: 1+9=10
Exploring Operation: 62+9=71, Resulting Numbers: [1, 71]
Generated Node #0,1,2: 70:[1, 71] Operation: 62+9=71
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 70:[1, 71], Operations: ['56-47=9', '62+9=71']
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[1, 56, 47, 62], Operations: []
Exploring Operation: 56-47=9, Resulting Numbers: [1, 62, 9]
Generated Node #0,1: 70:[1, 62, 9] Operation: 56-47=9
Moving to Node #0,1
Current State: 70:[1, 62, 9], Operations: ['56-47=9']
Exploring Operation: 62+9=71, Resulting Numbers: [1, 71]
Generated Node #0,1,2: 70:[1, 71] Operation: 62+9=71
Moving to Node #0,1,2
Current State: 70:[1, 71], Operations: ['56-47=9', '62+9=71']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
53,
96,
53,
53
] | 48 | [
"53*96=5088",
"53+53=106",
"5088/106=48"
] | Current State: 48:[53, 96, 53, 53], Operations: []
Exploring Operation: 53*96=5088, Resulting Numbers: [5088]
5088,48 equal: Goal Reached
Exploring Operation: 53+53=106, Resulting Numbers: [5088, 106]
Generated Node #2: [5088, 106] from Operation: 53+53=106
Current State: 48:[5088, 106], Operations: ['53+53=106']
Exploring Operation: 5088/106=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[53, 96, 53, 53], Operations: []
Exploring Operation: 96-53=43, Resulting Numbers: [53, 53, 43]
Generated Node #0,0: 48:[53, 53, 43] Operation: 96-53=43
Exploring Operation: 96-53=43, Resulting Numbers: [53, 53, 43]
Generated Node #0,1: 48:[53, 53, 43] Operation: 96-53=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[53, 53, 43], Operations: ['96-53=43']
Exploring Operation: 53-53=0, Resulting Numbers: [43, 0]
Generated Node #0,0,0: 48:[43, 0] Operation: 53-53=0
Exploring Operation: 53/53=1, Resulting Numbers: [43, 1]
Generated Node #0,0,1: 48:[43, 1] Operation: 53/53=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[43, 1], Operations: ['96-53=43', '53/53=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[43, 0], Operations: ['96-53=43', '53-53=0']
Exploring Operation: 43*0=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[53, 53, 43], Operations: ['96-53=43']
Exploring Operation: 53-53=0, Resulting Numbers: [43, 0]
Generated Node #0,1,0: 48:[43, 0] Operation: 53-53=0
Exploring Operation: 53/53=1, Resulting Numbers: [43, 1]
Generated Node #0,1,1: 48:[43, 1] Operation: 53/53=1
Moving to Node #0,1,1
Current State: 48:[43, 1], Operations: ['96-53=43', '53/53=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[43, 0], Operations: ['96-53=43', '53-53=0']
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 43*0=0, Resulting Numbers: [0]
0,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
43,
42,
84,
55
] | 14 | [
"55-43=12",
"84/42=2",
"12+2=14"
] | Current State: 14:[43, 42, 84, 55], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [42, 84, 12]
Generated Node #2: [42, 84, 12] from Operation: 55-43=12
Current State: 14:[42, 84, 12], Operations: ['55-43=12']
Exploring Operation: 84/42=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 84/42=2
Current State: 14:[12, 2], Operations: ['55-43=12', '84/42=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[43, 42, 84, 55], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [43, 42, 29]
Generated Node #0,0: 14:[43, 42, 29] Operation: 84-55=29
Exploring Operation: 84/42=2, Resulting Numbers: [43, 55, 2]
Generated Node #0,1: 14:[43, 55, 2] Operation: 84/42=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[43, 55, 2], Operations: ['84/42=2']
Exploring Operation: 43-2=41, Resulting Numbers: [55, 41]
Generated Node #0,1,0: 14:[55, 41] Operation: 43-2=41
Exploring Operation: 55-43=12, Resulting Numbers: [2, 12]
Generated Node #0,1,1: 14:[2, 12] Operation: 55-43=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[2, 12], Operations: ['84/42=2', '55-43=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[43, 42, 84, 55], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [43, 55, 2]
Generated Node #0,1: 14:[43, 55, 2] Operation: 84/42=2
Moving to Node #0,1
Current State: 14:[43, 55, 2], Operations: ['84/42=2']
Exploring Operation: 55-43=12, Resulting Numbers: [2, 12]
Generated Node #0,1,1: 14:[2, 12] Operation: 55-43=12
Moving to Node #0,1,1
Current State: 14:[2, 12], Operations: ['84/42=2', '55-43=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
89,
62,
57,
60
] | 16 | [
"89-57=32",
"62-60=2",
"32/2=16"
] | Current State: 16:[89, 62, 57, 60], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [62, 60, 32]
Generated Node #2: [62, 60, 32] from Operation: 89-57=32
Current State: 16:[62, 60, 32], Operations: ['89-57=32']
Exploring Operation: 62-60=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 62-60=2
Current State: 16:[32, 2], Operations: ['89-57=32', '62-60=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[89, 62, 57, 60], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [62, 60, 32]
Generated Node #0,0: 16:[62, 60, 32] Operation: 89-57=32
Exploring Operation: 62-60=2, Resulting Numbers: [89, 57, 2]
Generated Node #0,1: 16:[89, 57, 2] Operation: 62-60=2
Exploring Operation: 89-60=29, Resulting Numbers: [62, 57, 29]
Generated Node #0,2: 16:[62, 57, 29] Operation: 89-60=29
Exploring Operation: 89-62=27, Resulting Numbers: [57, 60, 27]
Generated Node #0,3: 16:[57, 60, 27] Operation: 89-62=27
Moving to Node #0,3
Current State: 16:[57, 60, 27], Operations: ['89-62=27']
Exploring Operation: 57-27=30, Resulting Numbers: [60, 30]
Generated Node #0,3,0: 16:[60, 30] Operation: 57-27=30
Exploring Operation: 60-57=3, Resulting Numbers: [27, 3]
Generated Node #0,3,1: 16:[27, 3] Operation: 60-57=3
Exploring Operation: 57+60=117, Resulting Numbers: [27, 117]
Generated Node #0,3,2: 16:[27, 117] Operation: 57+60=117
Exploring Operation: 60-27=33, Resulting Numbers: [57, 33]
Generated Node #0,3,3: 16:[57, 33] Operation: 60-27=33
Moving to Node #0,2
Current State: 16:[62, 57, 29], Operations: ['89-60=29']
Exploring Operation: 62-57=5, Resulting Numbers: [29, 5]
Generated Node #0,2,0: 16:[29, 5] Operation: 62-57=5
Exploring Operation: 57-29=28, Resulting Numbers: [62, 28]
Generated Node #0,2,1: 16:[62, 28] Operation: 57-29=28
Exploring Operation: 62+57=119, Resulting Numbers: [29, 119]
Generated Node #0,2,2: 16:[29, 119] Operation: 62+57=119
Exploring Operation: 62-29=33, Resulting Numbers: [57, 33]
Generated Node #0,2,3: 16:[57, 33] Operation: 62-29=33
Moving to Node #0,0
Current State: 16:[62, 60, 32], Operations: ['89-57=32']
Exploring Operation: 60-32=28, Resulting Numbers: [62, 28]
Generated Node #0,0,0: 16:[62, 28] Operation: 60-32=28
Exploring Operation: 62-60=2, Resulting Numbers: [32, 2]
Generated Node #0,0,1: 16:[32, 2] Operation: 62-60=2
Exploring Operation: 62-32=30, Resulting Numbers: [60, 30]
Generated Node #0,0,2: 16:[60, 30] Operation: 62-32=30
Exploring Operation: 62+60=122, Resulting Numbers: [32, 122]
Generated Node #0,0,3: 16:[32, 122] Operation: 62+60=122
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[32, 2], Operations: ['89-57=32', '62-60=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[89, 62, 57, 60], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [62, 60, 32]
Generated Node #0,0: 16:[62, 60, 32] Operation: 89-57=32
Moving to Node #0,0
Current State: 16:[62, 60, 32], Operations: ['89-57=32']
Exploring Operation: 62-60=2, Resulting Numbers: [32, 2]
Generated Node #0,0,1: 16:[32, 2] Operation: 62-60=2
Moving to Node #0,0,1
Current State: 16:[32, 2], Operations: ['89-57=32', '62-60=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
57,
29,
14,
33
] | 31 | [
"57-29=28",
"28/14=2",
"33-2=31"
] | Current State: 31:[57, 29, 14, 33], Operations: []
Exploring Operation: 57-29=28, Resulting Numbers: [14, 33, 28]
Generated Node #2: [14, 33, 28] from Operation: 57-29=28
Current State: 31:[14, 33, 28], Operations: ['57-29=28']
Exploring Operation: 28/14=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 28/14=2
Current State: 31:[33, 2], Operations: ['57-29=28', '28/14=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[57, 29, 14, 33], Operations: []
Exploring Operation: 29+14=43, Resulting Numbers: [57, 33, 43]
Generated Node #0,0: 31:[57, 33, 43] Operation: 29+14=43
Exploring Operation: 33-14=19, Resulting Numbers: [57, 29, 19]
Generated Node #0,1: 31:[57, 29, 19] Operation: 33-14=19
Exploring Operation: 57-33=24, Resulting Numbers: [29, 14, 24]
Generated Node #0,2: 31:[29, 14, 24] Operation: 57-33=24
Exploring Operation: 57-14=43, Resulting Numbers: [29, 33, 43]
Generated Node #0,3: 31:[29, 33, 43] Operation: 57-14=43
Exploring Operation: 57-29=28, Resulting Numbers: [14, 33, 28]
Generated Node #0,4: 31:[14, 33, 28] Operation: 57-29=28
Moving to Node #0,3
Current State: 31:[29, 33, 43], Operations: ['57-14=43']
Exploring Operation: 33-29=4, Resulting Numbers: [43, 4]
Generated Node #0,3,0: 31:[43, 4] Operation: 33-29=4
Exploring Operation: 43-33=10, Resulting Numbers: [29, 10]
Generated Node #0,3,1: 31:[29, 10] Operation: 43-33=10
Exploring Operation: 29+33=62, Resulting Numbers: [43, 62]
Generated Node #0,3,2: 31:[43, 62] Operation: 29+33=62
Exploring Operation: 29+43=72, Resulting Numbers: [33, 72]
Generated Node #0,3,3: 31:[33, 72] Operation: 29+43=72
Exploring Operation: 43-29=14, Resulting Numbers: [33, 14]
Generated Node #0,3,4: 31:[33, 14] Operation: 43-29=14
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 31:[33, 14], Operations: ['57-14=43', '43-29=14']
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,31 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 31:[29, 10], Operations: ['57-14=43', '43-33=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 29*10=290, Resulting Numbers: [290]
290,31 unequal: No Solution
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 31:[43, 4], Operations: ['57-14=43', '33-29=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 31:[43, 62], Operations: ['57-14=43', '29+33=62']
Exploring Operation: 43*62=2666, Resulting Numbers: [2666]
2666,31 unequal: No Solution
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 43+62=105, Resulting Numbers: [105]
105,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 31:[33, 72], Operations: ['57-14=43', '29+43=72']
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,31 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 31:[14, 33, 28], Operations: ['57-29=28']
Exploring Operation: 14+28=42, Resulting Numbers: [33, 42]
Generated Node #0,4,0: 31:[33, 42] Operation: 14+28=42
Exploring Operation: 14+33=47, Resulting Numbers: [28, 47]
Generated Node #0,4,1: 31:[28, 47] Operation: 14+33=47
Exploring Operation: 33-14=19, Resulting Numbers: [28, 19]
Generated Node #0,4,2: 31:[28, 19] Operation: 33-14=19
Exploring Operation: 28-14=14, Resulting Numbers: [33, 14]
Generated Node #0,4,3: 31:[33, 14] Operation: 28-14=14
Exploring Operation: 28/14=2, Resulting Numbers: [33, 2]
Generated Node #0,4,4: 31:[33, 2] Operation: 28/14=2
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 31:[33, 42], Operations: ['57-29=28', '14+28=42']
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 33*42=1386, Resulting Numbers: [1386]
1386,31 unequal: No Solution
Exploring Operation: 33+42=75, Resulting Numbers: [75]
75,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 31:[28, 19], Operations: ['57-29=28', '33-14=19']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,31 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 31:[28, 47], Operations: ['57-29=28', '14+33=47']
Exploring Operation: 28+47=75, Resulting Numbers: [75]
75,31 unequal: No Solution
Exploring Operation: 28*47=1316, Resulting Numbers: [1316]
1316,31 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 31:[33, 14], Operations: ['57-29=28', '28-14=14']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,31 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 31:[33, 2], Operations: ['57-29=28', '28/14=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,31 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[57, 29, 14, 33], Operations: []
Exploring Operation: 57-29=28, Resulting Numbers: [14, 33, 28]
Generated Node #0,4: 31:[14, 33, 28] Operation: 57-29=28
Moving to Node #0,4
Current State: 31:[14, 33, 28], Operations: ['57-29=28']
Exploring Operation: 28/14=2, Resulting Numbers: [33, 2]
Generated Node #0,4,4: 31:[33, 2] Operation: 28/14=2
Moving to Node #0,4,4
Current State: 31:[33, 2], Operations: ['57-29=28', '28/14=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | mult_heuristic |
[
83,
68,
89,
23
] | 97 | [
"83-68=15",
"89+23=112",
"112-15=97"
] | Current State: 97:[83, 68, 89, 23], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [89, 23, 15]
Generated Node #2: [89, 23, 15] from Operation: 83-68=15
Current State: 97:[89, 23, 15], Operations: ['83-68=15']
Exploring Operation: 89+23=112, Resulting Numbers: [15, 112]
Generated Node #3: [15, 112] from Operation: 89+23=112
Current State: 97:[15, 112], Operations: ['83-68=15', '89+23=112']
Exploring Operation: 112-15=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[83, 68, 89, 23], Operations: []
Exploring Operation: 68+23=91, Resulting Numbers: [83, 89, 91]
Generated Node #0,0: 97:[83, 89, 91] Operation: 68+23=91
Moving to Node #0,0
Current State: 97:[83, 89, 91], Operations: ['68+23=91']
Exploring Operation: 83+89=172, Resulting Numbers: [91, 172]
Generated Node #0,0,0: 97:[91, 172] Operation: 83+89=172
Moving to Node #0,0,0
Current State: 97:[91, 172], Operations: ['68+23=91', '83+89=172']
Exploring Operation: 172-91=81, Resulting Numbers: [81]
81,97 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
19,
62,
47,
44
] | 47 | [
"62-19=43",
"44-43=1",
"47*1=47"
] | Current State: 47:[19, 62, 47, 44], Operations: []
Exploring Operation: 62-19=43, Resulting Numbers: [47, 44, 43]
Generated Node #2: [47, 44, 43] from Operation: 62-19=43
Current State: 47:[47, 44, 43], Operations: ['62-19=43']
Exploring Operation: 44-43=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 44-43=1
Current State: 47:[47, 1], Operations: ['62-19=43', '44-43=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[19, 62, 47, 44], Operations: []
Exploring Operation: 19+44=63, Resulting Numbers: [62, 47, 63]
Generated Node #0,0: 47:[62, 47, 63] Operation: 19+44=63
Exploring Operation: 62-19=43, Resulting Numbers: [47, 44, 43]
Generated Node #0,1: 47:[47, 44, 43] Operation: 62-19=43
Exploring Operation: 19+47=66, Resulting Numbers: [62, 44, 66]
Generated Node #0,2: 47:[62, 44, 66] Operation: 19+47=66
Exploring Operation: 47-19=28, Resulting Numbers: [62, 44, 28]
Generated Node #0,3: 47:[62, 44, 28] Operation: 47-19=28
Exploring Operation: 19+62=81, Resulting Numbers: [47, 44, 81]
Generated Node #0,4: 47:[47, 44, 81] Operation: 19+62=81
Moving to Node #0,1
Current State: 47:[47, 44, 43], Operations: ['62-19=43']
Exploring Operation: 47+43=90, Resulting Numbers: [44, 90]
Generated Node #0,1,0: 47:[44, 90] Operation: 47+43=90
Exploring Operation: 47-43=4, Resulting Numbers: [44, 4]
Generated Node #0,1,1: 47:[44, 4] Operation: 47-43=4
Exploring Operation: 44+43=87, Resulting Numbers: [47, 87]
Generated Node #0,1,2: 47:[47, 87] Operation: 44+43=87
Exploring Operation: 44-43=1, Resulting Numbers: [47, 1]
Generated Node #0,1,3: 47:[47, 1] Operation: 44-43=1
Exploring Operation: 47+44=91, Resulting Numbers: [43, 91]
Generated Node #0,1,4: 47:[43, 91] Operation: 47+44=91
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[47, 87], Operations: ['62-19=43', '44+43=87']
Exploring Operation: 47+87=134, Resulting Numbers: [134]
134,47 unequal: No Solution
Exploring Operation: 47*87=4089, Resulting Numbers: [4089]
4089,47 unequal: No Solution
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[44, 90], Operations: ['62-19=43', '47+43=90']
Exploring Operation: 44*90=3960, Resulting Numbers: [3960]
3960,47 unequal: No Solution
Exploring Operation: 44+90=134, Resulting Numbers: [134]
134,47 unequal: No Solution
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[44, 4], Operations: ['62-19=43', '47-43=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,47 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,47 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 47:[47, 1], Operations: ['62-19=43', '44-43=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[19, 62, 47, 44], Operations: []
Exploring Operation: 62-19=43, Resulting Numbers: [47, 44, 43]
Generated Node #0,1: 47:[47, 44, 43] Operation: 62-19=43
Moving to Node #0,1
Current State: 47:[47, 44, 43], Operations: ['62-19=43']
Exploring Operation: 44-43=1, Resulting Numbers: [47, 1]
Generated Node #0,1,3: 47:[47, 1] Operation: 44-43=1
Moving to Node #0,1,3
Current State: 47:[47, 1], Operations: ['62-19=43', '44-43=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
5,
85,
49,
5
] | 37 | [
"85/5=17",
"49+5=54",
"54-17=37"
] | Current State: 37:[5, 85, 49, 5], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [49, 17]
Generated Node #2: [49, 17] from Operation: 85/5=17
Current State: 37:[49, 17], Operations: ['85/5=17']
Exploring Operation: 49+5=54, Resulting Numbers: [17, 54]
Generated Node #3: [17, 54] from Operation: 49+5=54
Current State: 37:[17, 54], Operations: ['85/5=17', '49+5=54']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[5, 85, 49, 5], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [49, 5, 17]
Generated Node #0,0: 37:[49, 5, 17] Operation: 85/5=17
Exploring Operation: 85/5=17, Resulting Numbers: [5, 49, 17]
Generated Node #0,1: 37:[5, 49, 17] Operation: 85/5=17
Moving to Node #0,0
Current State: 37:[49, 5, 17], Operations: ['85/5=17']
Exploring Operation: 5+17=22, Resulting Numbers: [49, 22]
Generated Node #0,0,0: 37:[49, 22] Operation: 5+17=22
Exploring Operation: 49-5=44, Resulting Numbers: [17, 44]
Generated Node #0,0,1: 37:[17, 44] Operation: 49-5=44
Moving to Node #0,1
Current State: 37:[5, 49, 17], Operations: ['85/5=17']
Exploring Operation: 5+17=22, Resulting Numbers: [49, 22]
Generated Node #0,1,0: 37:[49, 22] Operation: 5+17=22
Exploring Operation: 49-5=44, Resulting Numbers: [17, 44]
Generated Node #0,1,1: 37:[17, 44] Operation: 49-5=44
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[49, 22], Operations: ['85/5=17', '5+17=22']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[17, 44], Operations: ['85/5=17', '49-5=44']
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,37 unequal: No Solution
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 37:[49, 22], Operations: ['85/5=17', '5+17=22']
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,37 unequal: No Solution
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[17, 44], Operations: ['85/5=17', '49-5=44']
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,37 unequal: No Solution
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,37 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
73,
54,
29,
64
] | 35 | [
"73-64=9",
"54/9=6",
"29+6=35"
] | Current State: 35:[73, 54, 29, 64], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [54, 29, 9]
Generated Node #2: [54, 29, 9] from Operation: 73-64=9
Current State: 35:[54, 29, 9], Operations: ['73-64=9']
Exploring Operation: 54/9=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 54/9=6
Current State: 35:[29, 6], Operations: ['73-64=9', '54/9=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[73, 54, 29, 64], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [54, 29, 9]
Generated Node #0,0: 35:[54, 29, 9] Operation: 73-64=9
Exploring Operation: 64-54=10, Resulting Numbers: [73, 29, 10]
Generated Node #0,1: 35:[73, 29, 10] Operation: 64-54=10
Exploring Operation: 64-29=35, Resulting Numbers: [73, 54, 35]
Generated Node #0,2: 35:[73, 54, 35] Operation: 64-29=35
Exploring Operation: 73-54=19, Resulting Numbers: [29, 64, 19]
Generated Node #0,3: 35:[29, 64, 19] Operation: 73-54=19
Exploring Operation: 73-29=44, Resulting Numbers: [54, 64, 44]
Generated Node #0,4: 35:[54, 64, 44] Operation: 73-29=44
Moving to Node #0,0
Current State: 35:[54, 29, 9], Operations: ['73-64=9']
Exploring Operation: 29+9=38, Resulting Numbers: [54, 38]
Generated Node #0,0,0: 35:[54, 38] Operation: 29+9=38
Exploring Operation: 54-29=25, Resulting Numbers: [9, 25]
Generated Node #0,0,1: 35:[9, 25] Operation: 54-29=25
Exploring Operation: 29-9=20, Resulting Numbers: [54, 20]
Generated Node #0,0,2: 35:[54, 20] Operation: 29-9=20
Exploring Operation: 54/9=6, Resulting Numbers: [29, 6]
Generated Node #0,0,3: 35:[29, 6] Operation: 54/9=6
Exploring Operation: 54-9=45, Resulting Numbers: [29, 45]
Generated Node #0,0,4: 35:[29, 45] Operation: 54-9=45
Moving to Node #0,3
Current State: 35:[29, 64, 19], Operations: ['73-54=19']
Exploring Operation: 29+19=48, Resulting Numbers: [64, 48]
Generated Node #0,3,0: 35:[64, 48] Operation: 29+19=48
Exploring Operation: 29-19=10, Resulting Numbers: [64, 10]
Generated Node #0,3,1: 35:[64, 10] Operation: 29-19=10
Exploring Operation: 64-29=35, Resulting Numbers: [19, 35]
Generated Node #0,3,2: 35:[19, 35] Operation: 64-29=35
Exploring Operation: 64-19=45, Resulting Numbers: [29, 45]
Generated Node #0,3,3: 35:[29, 45] Operation: 64-19=45
Exploring Operation: 64+19=83, Resulting Numbers: [29, 83]
Generated Node #0,3,4: 35:[29, 83] Operation: 64+19=83
Moving to Node #0,1
Current State: 35:[73, 29, 10], Operations: ['64-54=10']
Exploring Operation: 73-29=44, Resulting Numbers: [10, 44]
Generated Node #0,1,0: 35:[10, 44] Operation: 73-29=44
Exploring Operation: 73-10=63, Resulting Numbers: [29, 63]
Generated Node #0,1,1: 35:[29, 63] Operation: 73-10=63
Exploring Operation: 29-10=19, Resulting Numbers: [73, 19]
Generated Node #0,1,2: 35:[73, 19] Operation: 29-10=19
Exploring Operation: 73+10=83, Resulting Numbers: [29, 83]
Generated Node #0,1,3: 35:[29, 83] Operation: 73+10=83
Exploring Operation: 29+10=39, Resulting Numbers: [73, 39]
Generated Node #0,1,4: 35:[73, 39] Operation: 29+10=39
Moving to Node #0,2
Current State: 35:[73, 54, 35], Operations: ['64-29=35']
Exploring Operation: 73+35=108, Resulting Numbers: [54, 108]
Generated Node #0,2,0: 35:[54, 108] Operation: 73+35=108
Exploring Operation: 73-54=19, Resulting Numbers: [35, 19]
Generated Node #0,2,1: 35:[35, 19] Operation: 73-54=19
Exploring Operation: 73+54=127, Resulting Numbers: [35, 127]
Generated Node #0,2,2: 35:[35, 127] Operation: 73+54=127
Exploring Operation: 54-35=19, Resulting Numbers: [73, 19]
Generated Node #0,2,3: 35:[73, 19] Operation: 54-35=19
Exploring Operation: 73-35=38, Resulting Numbers: [54, 38]
Generated Node #0,2,4: 35:[54, 38] Operation: 73-35=38
Moving to Node #0,4
Current State: 35:[54, 64, 44], Operations: ['73-29=44']
Exploring Operation: 54-44=10, Resulting Numbers: [64, 10]
Generated Node #0,4,0: 35:[64, 10] Operation: 54-44=10
Exploring Operation: 54+64=118, Resulting Numbers: [44, 118]
Generated Node #0,4,1: 35:[44, 118] Operation: 54+64=118
Exploring Operation: 64-54=10, Resulting Numbers: [44, 10]
Generated Node #0,4,2: 35:[44, 10] Operation: 64-54=10
Exploring Operation: 64-44=20, Resulting Numbers: [54, 20]
Generated Node #0,4,3: 35:[54, 20] Operation: 64-44=20
Exploring Operation: 54+44=98, Resulting Numbers: [64, 98]
Generated Node #0,4,4: 35:[64, 98] Operation: 54+44=98
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 35:[44, 10], Operations: ['73-29=44', '64-54=10']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,35 unequal: No Solution
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 35:[64, 10], Operations: ['73-29=44', '54-44=10']
Exploring Operation: 64*10=640, Resulting Numbers: [640]
640,35 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 35:[54, 20], Operations: ['73-29=44', '64-44=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,35 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 35:[44, 118], Operations: ['73-29=44', '54+64=118']
Exploring Operation: 44+118=162, Resulting Numbers: [162]
162,35 unequal: No Solution
Exploring Operation: 118-44=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 44*118=5192, Resulting Numbers: [5192]
5192,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 35:[64, 98], Operations: ['73-29=44', '54+44=98']
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 64+98=162, Resulting Numbers: [162]
162,35 unequal: No Solution
Exploring Operation: 64*98=6272, Resulting Numbers: [6272]
6272,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 35:[29, 6], Operations: ['73-64=9', '54/9=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[73, 54, 29, 64], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [54, 29, 9]
Generated Node #0,0: 35:[54, 29, 9] Operation: 73-64=9
Moving to Node #0,0
Current State: 35:[54, 29, 9], Operations: ['73-64=9']
Exploring Operation: 54/9=6, Resulting Numbers: [29, 6]
Generated Node #0,0,3: 35:[29, 6] Operation: 54/9=6
Moving to Node #0,0,3
Current State: 35:[29, 6], Operations: ['73-64=9', '54/9=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.956597 | hs_5 | sum_heuristic |
[
49,
87,
34,
26
] | 98 | [
"87-49=38",
"34+26=60",
"38+60=98"
] | Current State: 98:[49, 87, 34, 26], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [34, 26, 38]
Generated Node #2: [34, 26, 38] from Operation: 87-49=38
Current State: 98:[34, 26, 38], Operations: ['87-49=38']
Exploring Operation: 34+26=60, Resulting Numbers: [38, 60]
Generated Node #3: [38, 60] from Operation: 34+26=60
Current State: 98:[38, 60], Operations: ['87-49=38', '34+26=60']
Exploring Operation: 38+60=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[49, 87, 34, 26], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [49, 87, 8]
Generated Node #0,0: 98:[49, 87, 8] Operation: 34-26=8
Moving to Node #0,0
Current State: 98:[49, 87, 8], Operations: ['34-26=8']
Exploring Operation: 87+8=95, Resulting Numbers: [49, 95]
Generated Node #0,0,0: 98:[49, 95] Operation: 87+8=95
Moving to Node #0,0,0
Current State: 98:[49, 95], Operations: ['34-26=8', '87+8=95']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,98 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
98,
5,
95,
74
] | 72 | [
"98-5=93",
"95-74=21",
"93-21=72"
] | Current State: 72:[98, 5, 95, 74], Operations: []
Exploring Operation: 98-5=93, Resulting Numbers: [95, 74, 93]
Generated Node #2: [95, 74, 93] from Operation: 98-5=93
Current State: 72:[95, 74, 93], Operations: ['98-5=93']
Exploring Operation: 95-74=21, Resulting Numbers: [93, 21]
Generated Node #3: [93, 21] from Operation: 95-74=21
Current State: 72:[93, 21], Operations: ['98-5=93', '95-74=21']
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[98, 5, 95, 74], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [5, 74, 3]
Generated Node #0,0: 72:[5, 74, 3] Operation: 98-95=3
Exploring Operation: 98-5=93, Resulting Numbers: [95, 74, 93]
Generated Node #0,1: 72:[95, 74, 93] Operation: 98-5=93
Exploring Operation: 98-74=24, Resulting Numbers: [5, 95, 24]
Generated Node #0,2: 72:[5, 95, 24] Operation: 98-74=24
Exploring Operation: 95/5=19, Resulting Numbers: [98, 74, 19]
Generated Node #0,3: 72:[98, 74, 19] Operation: 95/5=19
Exploring Operation: 95-74=21, Resulting Numbers: [98, 5, 21]
Generated Node #0,4: 72:[98, 5, 21] Operation: 95-74=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[5, 74, 3], Operations: ['98-95=3']
Exploring Operation: 74-5=69, Resulting Numbers: [3, 69]
Generated Node #0,0,0: 72:[3, 69] Operation: 74-5=69
Exploring Operation: 5-3=2, Resulting Numbers: [74, 2]
Generated Node #0,0,1: 72:[74, 2] Operation: 5-3=2
Exploring Operation: 74-3=71, Resulting Numbers: [5, 71]
Generated Node #0,0,2: 72:[5, 71] Operation: 74-3=71
Exploring Operation: 5*3=15, Resulting Numbers: [74, 15]
Generated Node #0,0,3: 72:[74, 15] Operation: 5*3=15
Exploring Operation: 5+3=8, Resulting Numbers: [74, 8]
Generated Node #0,0,4: 72:[74, 8] Operation: 5+3=8
Moving to Node #0,0,1
Current State: 72:[74, 2], Operations: ['98-95=3', '5-3=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[98, 5, 95, 74], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [5, 74, 3]
Generated Node #0,0: 72:[5, 74, 3] Operation: 98-95=3
Moving to Node #0,0
Current State: 72:[5, 74, 3], Operations: ['98-95=3']
Exploring Operation: 5-3=2, Resulting Numbers: [74, 2]
Generated Node #0,0,1: 72:[74, 2] Operation: 5-3=2
Moving to Node #0,0,1
Current State: 72:[74, 2], Operations: ['98-95=3', '5-3=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
2,
43,
56,
55
] | 97 | [
"2*55=110",
"56-43=13",
"110-13=97"
] | Current State: 97:[2, 43, 56, 55], Operations: []
Exploring Operation: 2*55=110, Resulting Numbers: [43, 56, 110]
Generated Node #2: [43, 56, 110] from Operation: 2*55=110
Current State: 97:[43, 56, 110], Operations: ['2*55=110']
Exploring Operation: 56-43=13, Resulting Numbers: [110, 13]
Generated Node #3: [110, 13] from Operation: 56-43=13
Current State: 97:[110, 13], Operations: ['2*55=110', '56-43=13']
Exploring Operation: 110-13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[2, 43, 56, 55], Operations: []
Exploring Operation: 2*43=86, Resulting Numbers: [56, 55, 86]
Generated Node #0,0: 97:[56, 55, 86] Operation: 2*43=86
Moving to Node #0,0
Current State: 97:[56, 55, 86], Operations: ['2*43=86']
Exploring Operation: 56+55=111, Resulting Numbers: [86, 111]
Generated Node #0,0,0: 97:[86, 111] Operation: 56+55=111
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[86, 111], Operations: ['2*43=86', '56+55=111']
Exploring Operation: 111-86=25, Resulting Numbers: [25]
25,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
97,
56,
87,
9
] | 55 | [
"97-56=41",
"87+9=96",
"96-41=55"
] | Current State: 55:[97, 56, 87, 9], Operations: []
Exploring Operation: 97-56=41, Resulting Numbers: [87, 9, 41]
Generated Node #2: [87, 9, 41] from Operation: 97-56=41
Current State: 55:[87, 9, 41], Operations: ['97-56=41']
Exploring Operation: 87+9=96, Resulting Numbers: [41, 96]
Generated Node #3: [41, 96] from Operation: 87+9=96
Current State: 55:[41, 96], Operations: ['97-56=41', '87+9=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[97, 56, 87, 9], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [56, 9, 10]
Generated Node #0,0: 55:[56, 9, 10] Operation: 97-87=10
Exploring Operation: 87-9=78, Resulting Numbers: [97, 56, 78]
Generated Node #0,1: 55:[97, 56, 78] Operation: 87-9=78
Exploring Operation: 97-56=41, Resulting Numbers: [87, 9, 41]
Generated Node #0,2: 55:[87, 9, 41] Operation: 97-56=41
Exploring Operation: 87-56=31, Resulting Numbers: [97, 9, 31]
Generated Node #0,3: 55:[97, 9, 31] Operation: 87-56=31
Exploring Operation: 97-9=88, Resulting Numbers: [56, 87, 88]
Generated Node #0,4: 55:[56, 87, 88] Operation: 97-9=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[56, 9, 10], Operations: ['97-87=10']
Exploring Operation: 9+10=19, Resulting Numbers: [56, 19]
Generated Node #0,0,0: 55:[56, 19] Operation: 9+10=19
Exploring Operation: 10-9=1, Resulting Numbers: [56, 1]
Generated Node #0,0,1: 55:[56, 1] Operation: 10-9=1
Exploring Operation: 56-10=46, Resulting Numbers: [9, 46]
Generated Node #0,0,2: 55:[9, 46] Operation: 56-10=46
Exploring Operation: 56-9=47, Resulting Numbers: [10, 47]
Generated Node #0,0,3: 55:[10, 47] Operation: 56-9=47
Exploring Operation: 56+9=65, Resulting Numbers: [10, 65]
Generated Node #0,0,4: 55:[10, 65] Operation: 56+9=65
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[56, 1], Operations: ['97-87=10', '10-9=1']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[97, 56, 87, 9], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [56, 9, 10]
Generated Node #0,0: 55:[56, 9, 10] Operation: 97-87=10
Moving to Node #0,0
Current State: 55:[56, 9, 10], Operations: ['97-87=10']
Exploring Operation: 10-9=1, Resulting Numbers: [56, 1]
Generated Node #0,0,1: 55:[56, 1] Operation: 10-9=1
Moving to Node #0,0,1
Current State: 55:[56, 1], Operations: ['97-87=10', '10-9=1']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
47,
41,
44,
55
] | 42 | [
"47-44=3",
"55-41=14",
"3*14=42"
] | Current State: 42:[47, 41, 44, 55], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [41, 55, 3]
Generated Node #2: [41, 55, 3] from Operation: 47-44=3
Current State: 42:[41, 55, 3], Operations: ['47-44=3']
Exploring Operation: 55-41=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 55-41=14
Current State: 42:[3, 14], Operations: ['47-44=3', '55-41=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[47, 41, 44, 55], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [41, 44, 8]
Generated Node #0,0: 42:[41, 44, 8] Operation: 55-47=8
Moving to Node #0,0
Current State: 42:[41, 44, 8], Operations: ['55-47=8']
Exploring Operation: 44-41=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 42:[8, 3] Operation: 44-41=3
Moving to Node #0,0,0
Current State: 42:[8, 3], Operations: ['55-47=8', '44-41=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,42 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
29,
9,
19
] | 95 | [
"29+9=38",
"2*38=76",
"19+76=95"
] | Current State: 95:[2, 29, 9, 19], Operations: []
Exploring Operation: 29+9=38, Resulting Numbers: [2, 19, 38]
Generated Node #2: [2, 19, 38] from Operation: 29+9=38
Current State: 95:[2, 19, 38], Operations: ['29+9=38']
Exploring Operation: 2*38=76, Resulting Numbers: [19, 76]
Generated Node #3: [19, 76] from Operation: 2*38=76
Current State: 95:[19, 76], Operations: ['29+9=38', '2*38=76']
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[2, 29, 9, 19], Operations: []
Exploring Operation: 29-2=27, Resulting Numbers: [9, 19, 27]
Generated Node #0,0: 95:[9, 19, 27] Operation: 29-2=27
Exploring Operation: 29-9=20, Resulting Numbers: [2, 19, 20]
Generated Node #0,1: 95:[2, 19, 20] Operation: 29-9=20
Exploring Operation: 29-19=10, Resulting Numbers: [2, 9, 10]
Generated Node #0,2: 95:[2, 9, 10] Operation: 29-19=10
Exploring Operation: 2*9=18, Resulting Numbers: [29, 19, 18]
Generated Node #0,3: 95:[29, 19, 18] Operation: 2*9=18
Exploring Operation: 9-2=7, Resulting Numbers: [29, 19, 7]
Generated Node #0,4: 95:[29, 19, 7] Operation: 9-2=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[2, 19, 20], Operations: ['29-9=20']
Exploring Operation: 2+20=22, Resulting Numbers: [19, 22]
Generated Node #0,1,0: 95:[19, 22] Operation: 2+20=22
Exploring Operation: 2+19=21, Resulting Numbers: [20, 21]
Generated Node #0,1,1: 95:[20, 21] Operation: 2+19=21
Exploring Operation: 20-2=18, Resulting Numbers: [19, 18]
Generated Node #0,1,2: 95:[19, 18] Operation: 20-2=18
Exploring Operation: 19-2=17, Resulting Numbers: [20, 17]
Generated Node #0,1,3: 95:[20, 17] Operation: 19-2=17
Exploring Operation: 20/2=10, Resulting Numbers: [19, 10]
Generated Node #0,1,4: 95:[19, 10] Operation: 20/2=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 95:[19, 18], Operations: ['29-9=20', '20-2=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,95 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[19, 22], Operations: ['29-9=20', '2+20=22']
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,95 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[20, 21], Operations: ['29-9=20', '2+19=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,95 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 95:[20, 17], Operations: ['29-9=20', '19-2=17']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 20*17=340, Resulting Numbers: [340]
340,95 unequal: No Solution
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 95:[19, 10], Operations: ['29-9=20', '20/2=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[29, 19, 18], Operations: ['2*9=18']
Exploring Operation: 29-18=11, Resulting Numbers: [19, 11]
Generated Node #0,3,0: 95:[19, 11] Operation: 29-18=11
Exploring Operation: 29-19=10, Resulting Numbers: [18, 10]
Generated Node #0,3,1: 95:[18, 10] Operation: 29-19=10
Exploring Operation: 19+18=37, Resulting Numbers: [29, 37]
Generated Node #0,3,2: 95:[29, 37] Operation: 19+18=37
Exploring Operation: 19-18=1, Resulting Numbers: [29, 1]
Generated Node #0,3,3: 95:[29, 1] Operation: 19-18=1
Exploring Operation: 29+18=47, Resulting Numbers: [19, 47]
Generated Node #0,3,4: 95:[19, 47] Operation: 29+18=47
Moving to Node #0,3,0
Current State: 95:[19, 11], Operations: ['2*9=18', '29-18=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[18, 10], Operations: ['2*9=18', '29-19=10']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[29, 1], Operations: ['2*9=18', '19-18=1']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[29, 37], Operations: ['2*9=18', '19+18=37']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,95 unequal: No Solution
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Moving to Node #0,3,4
Current State: 95:[19, 47], Operations: ['2*9=18', '29+18=47']
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[9, 19, 27], Operations: ['29-2=27']
Exploring Operation: 27-19=8, Resulting Numbers: [9, 8]
Generated Node #0,0,0: 95:[9, 8] Operation: 27-19=8
Exploring Operation: 27/9=3, Resulting Numbers: [19, 3]
Generated Node #0,0,1: 95:[19, 3] Operation: 27/9=3
Exploring Operation: 9+19=28, Resulting Numbers: [27, 28]
Generated Node #0,0,2: 95:[27, 28] Operation: 9+19=28
Exploring Operation: 19-9=10, Resulting Numbers: [27, 10]
Generated Node #0,0,3: 95:[27, 10] Operation: 19-9=10
Exploring Operation: 27-9=18, Resulting Numbers: [19, 18]
Generated Node #0,0,4: 95:[19, 18] Operation: 27-9=18
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 95:[19, 18], Operations: ['29-2=27', '27-9=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,95 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,95 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[19, 3], Operations: ['29-2=27', '27/9=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,95 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[9, 8], Operations: ['29-2=27', '27-19=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[27, 10], Operations: ['29-2=27', '19-9=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,95 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[27, 28], Operations: ['29-2=27', '9+19=28']
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 27*28=756, Resulting Numbers: [756]
756,95 unequal: No Solution
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[2, 9, 10], Operations: ['29-19=10']
Exploring Operation: 2*10=20, Resulting Numbers: [9, 20]
Generated Node #0,2,0: 95:[9, 20] Operation: 2*10=20
Exploring Operation: 9-2=7, Resulting Numbers: [10, 7]
Generated Node #0,2,1: 95:[10, 7] Operation: 9-2=7
Exploring Operation: 10/2=5, Resulting Numbers: [9, 5]
Generated Node #0,2,2: 95:[9, 5] Operation: 10/2=5
Exploring Operation: 2*9=18, Resulting Numbers: [10, 18]
Generated Node #0,2,3: 95:[10, 18] Operation: 2*9=18
Exploring Operation: 9+10=19, Resulting Numbers: [2, 19]
Generated Node #0,2,4: 95:[2, 19] Operation: 9+10=19
Moving to Node #0,2,4
Current State: 95:[2, 19], Operations: ['29-19=10', '9+10=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[9, 5], Operations: ['29-19=10', '10/2=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[9, 20], Operations: ['29-19=10', '2*10=20']
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,95 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[10, 18], Operations: ['29-19=10', '2*9=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[10, 7], Operations: ['29-19=10', '9-2=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 95:[29, 19, 7], Operations: ['9-2=7']
Exploring Operation: 19+7=26, Resulting Numbers: [29, 26]
Generated Node #0,4,0: 95:[29, 26] Operation: 19+7=26
Exploring Operation: 29-19=10, Resulting Numbers: [7, 10]
Generated Node #0,4,1: 95:[7, 10] Operation: 29-19=10
Exploring Operation: 29+7=36, Resulting Numbers: [19, 36]
Generated Node #0,4,2: 95:[19, 36] Operation: 29+7=36
Exploring Operation: 19-7=12, Resulting Numbers: [29, 12]
Generated Node #0,4,3: 95:[29, 12] Operation: 19-7=12
Exploring Operation: 29-7=22, Resulting Numbers: [19, 22]
Generated Node #0,4,4: 95:[19, 22] Operation: 29-7=22
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 95:[19, 22], Operations: ['9-2=7', '29-7=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 95:[7, 10], Operations: ['9-2=7', '29-19=10']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 95:[29, 26], Operations: ['9-2=7', '19+7=26']
Exploring Operation: 29*26=754, Resulting Numbers: [754]
754,95 unequal: No Solution
Exploring Operation: 29+26=55, Resulting Numbers: [55]
55,95 unequal: No Solution
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 95:[19, 36], Operations: ['9-2=7', '29+7=36']
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,95 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 95:[29, 12], Operations: ['9-2=7', '19-7=12']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
8,
62,
90,
40
] | 80 | [
"8*90=720",
"720/40=18",
"62+18=80"
] | Current State: 80:[8, 62, 90, 40], Operations: []
Exploring Operation: 8*90=720, Resulting Numbers: [62, 40, 720]
Generated Node #2: [62, 40, 720] from Operation: 8*90=720
Current State: 80:[62, 40, 720], Operations: ['8*90=720']
Exploring Operation: 720/40=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 720/40=18
Current State: 80:[62, 18], Operations: ['8*90=720', '720/40=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[8, 62, 90, 40], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [8, 40, 28]
Generated Node #0,0: 80:[8, 40, 28] Operation: 90-62=28
Exploring Operation: 62-40=22, Resulting Numbers: [8, 90, 22]
Generated Node #0,1: 80:[8, 90, 22] Operation: 62-40=22
Moving to Node #0,0
Current State: 80:[8, 40, 28], Operations: ['90-62=28']
Exploring Operation: 40-28=12, Resulting Numbers: [8, 12]
Generated Node #0,0,0: 80:[8, 12] Operation: 40-28=12
Exploring Operation: 28-8=20, Resulting Numbers: [40, 20]
Generated Node #0,0,1: 80:[40, 20] Operation: 28-8=20
Moving to Node #0,1
Current State: 80:[8, 90, 22], Operations: ['62-40=22']
Exploring Operation: 90-8=82, Resulting Numbers: [22, 82]
Generated Node #0,1,0: 80:[22, 82] Operation: 90-8=82
Exploring Operation: 22-8=14, Resulting Numbers: [90, 14]
Generated Node #0,1,1: 80:[90, 14] Operation: 22-8=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[22, 82], Operations: ['62-40=22', '90-8=82']
Exploring Operation: 22+82=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[90, 14], Operations: ['62-40=22', '22-8=14']
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 90+14=104, Resulting Numbers: [104]
104,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 80:[40, 20], Operations: ['90-62=28', '28-8=20']
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[8, 12], Operations: ['90-62=28', '40-28=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,80 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
42,
90,
94,
21
] | 25 | [
"90-42=48",
"94-21=73",
"73-48=25"
] | Current State: 25:[42, 90, 94, 21], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [94, 21, 48]
Generated Node #2: [94, 21, 48] from Operation: 90-42=48
Current State: 25:[94, 21, 48], Operations: ['90-42=48']
Exploring Operation: 94-21=73, Resulting Numbers: [48, 73]
Generated Node #3: [48, 73] from Operation: 94-21=73
Current State: 25:[48, 73], Operations: ['90-42=48', '94-21=73']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[42, 90, 94, 21], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [42, 21, 4]
Generated Node #0,0: 25:[42, 21, 4] Operation: 94-90=4
Exploring Operation: 90-42=48, Resulting Numbers: [94, 21, 48]
Generated Node #0,1: 25:[94, 21, 48] Operation: 90-42=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[42, 21, 4], Operations: ['94-90=4']
Exploring Operation: 42-21=21, Resulting Numbers: [4, 21]
Generated Node #0,0,0: 25:[4, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 25:[4, 2] Operation: 42/21=2
Moving to Node #0,0,1
Current State: 25:[4, 2], Operations: ['94-90=4', '42/21=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[4, 21], Operations: ['94-90=4', '42-21=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[42, 90, 94, 21], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [42, 21, 4]
Generated Node #0,0: 25:[42, 21, 4] Operation: 94-90=4
Moving to Node #0,0
Current State: 25:[42, 21, 4], Operations: ['94-90=4']
Exploring Operation: 42-21=21, Resulting Numbers: [4, 21]
Generated Node #0,0,0: 25:[4, 21] Operation: 42-21=21
Moving to Node #0,0,0
Current State: 25:[4, 21], Operations: ['94-90=4', '42-21=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
56,
41,
56,
45
] | 45 | [
"56-56=0",
"41*0=0",
"45+0=45"
] | Current State: 45:[56, 41, 56, 45], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [41, 45, 0]
Generated Node #2: [41, 45, 0] from Operation: 56-56=0
Current State: 45:[41, 45, 0], Operations: ['56-56=0']
Exploring Operation: 41*0=0, Resulting Numbers: [45, 0]
Generated Node #3: [45, 0] from Operation: 41*0=0
Current State: 45:[45, 0], Operations: ['56-56=0', '41*0=0']
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[56, 41, 56, 45], Operations: []
Exploring Operation: 56/56=1, Resulting Numbers: [41, 45, 1]
Generated Node #0,0: 45:[41, 45, 1] Operation: 56/56=1
Exploring Operation: 56-56=0, Resulting Numbers: [41, 45, 0]
Generated Node #0,1: 45:[41, 45, 0] Operation: 56-56=0
Moving to Node #0,0
Current State: 45:[41, 45, 1], Operations: ['56/56=1']
Exploring Operation: 41+1=42, Resulting Numbers: [45, 42]
Generated Node #0,0,0: 45:[45, 42] Operation: 41+1=42
Exploring Operation: 45-41=4, Resulting Numbers: [1, 4]
Generated Node #0,0,1: 45:[1, 4] Operation: 45-41=4
Moving to Node #0,1
Current State: 45:[41, 45, 0], Operations: ['56-56=0']
Exploring Operation: 45-41=4, Resulting Numbers: [0, 4]
Generated Node #0,1,0: 45:[0, 4] Operation: 45-41=4
Exploring Operation: 41*0=0, Resulting Numbers: [45, 0]
Generated Node #0,1,1: 45:[45, 0] Operation: 41*0=0
Moving to Node #0,0,0
Current State: 45:[45, 42], Operations: ['56/56=1', '41+1=42']
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 45+42=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[45, 0], Operations: ['56-56=0', '41*0=0']
Exploring Operation: 45-0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[56, 41, 56, 45], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [41, 45, 0]
Generated Node #0,1: 45:[41, 45, 0] Operation: 56-56=0
Moving to Node #0,1
Current State: 45:[41, 45, 0], Operations: ['56-56=0']
Exploring Operation: 41*0=0, Resulting Numbers: [45, 0]
Generated Node #0,1,1: 45:[45, 0] Operation: 41*0=0
Moving to Node #0,1,1
Current State: 45:[45, 0], Operations: ['56-56=0', '41*0=0']
Exploring Operation: 45-0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.988715 | hs_2 | mult_heuristic |
[
58,
27,
73,
28
] | 16 | [
"58+27=85",
"73+28=101",
"101-85=16"
] | Current State: 16:[58, 27, 73, 28], Operations: []
Exploring Operation: 58+27=85, Resulting Numbers: [73, 28, 85]
Generated Node #2: [73, 28, 85] from Operation: 58+27=85
Current State: 16:[73, 28, 85], Operations: ['58+27=85']
Exploring Operation: 73+28=101, Resulting Numbers: [85, 101]
Generated Node #3: [85, 101] from Operation: 73+28=101
Current State: 16:[85, 101], Operations: ['58+27=85', '73+28=101']
Exploring Operation: 101-85=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[58, 27, 73, 28], Operations: []
Exploring Operation: 58-28=30, Resulting Numbers: [27, 73, 30]
Generated Node #0,0: 16:[27, 73, 30] Operation: 58-28=30
Exploring Operation: 73-58=15, Resulting Numbers: [27, 28, 15]
Generated Node #0,1: 16:[27, 28, 15] Operation: 73-58=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[27, 28, 15], Operations: ['73-58=15']
Exploring Operation: 28-27=1, Resulting Numbers: [15, 1]
Generated Node #0,1,0: 16:[15, 1] Operation: 28-27=1
Exploring Operation: 28-15=13, Resulting Numbers: [27, 13]
Generated Node #0,1,1: 16:[27, 13] Operation: 28-15=13
Moving to Node #0,1,0
Current State: 16:[15, 1], Operations: ['73-58=15', '28-27=1']
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[58, 27, 73, 28], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [27, 28, 15]
Generated Node #0,1: 16:[27, 28, 15] Operation: 73-58=15
Moving to Node #0,1
Current State: 16:[27, 28, 15], Operations: ['73-58=15']
Exploring Operation: 28-27=1, Resulting Numbers: [15, 1]
Generated Node #0,1,0: 16:[15, 1] Operation: 28-27=1
Moving to Node #0,1,0
Current State: 16:[15, 1], Operations: ['73-58=15', '28-27=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
84,
25,
71,
27
] | 15 | [
"84-25=59",
"71-27=44",
"59-44=15"
] | Current State: 15:[84, 25, 71, 27], Operations: []
Exploring Operation: 84-25=59, Resulting Numbers: [71, 27, 59]
Generated Node #2: [71, 27, 59] from Operation: 84-25=59
Current State: 15:[71, 27, 59], Operations: ['84-25=59']
Exploring Operation: 71-27=44, Resulting Numbers: [59, 44]
Generated Node #3: [59, 44] from Operation: 71-27=44
Current State: 15:[59, 44], Operations: ['84-25=59', '71-27=44']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[84, 25, 71, 27], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [25, 71, 57]
Generated Node #0,0: 15:[25, 71, 57] Operation: 84-27=57
Exploring Operation: 71-27=44, Resulting Numbers: [84, 25, 44]
Generated Node #0,1: 15:[84, 25, 44] Operation: 71-27=44
Exploring Operation: 84-71=13, Resulting Numbers: [25, 27, 13]
Generated Node #0,2: 15:[25, 27, 13] Operation: 84-71=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[25, 27, 13], Operations: ['84-71=13']
Exploring Operation: 25-13=12, Resulting Numbers: [27, 12]
Generated Node #0,2,0: 15:[27, 12] Operation: 25-13=12
Exploring Operation: 27-25=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 15:[13, 2] Operation: 27-25=2
Exploring Operation: 27-13=14, Resulting Numbers: [25, 14]
Generated Node #0,2,2: 15:[25, 14] Operation: 27-13=14
Moving to Node #0,2,1
Current State: 15:[13, 2], Operations: ['84-71=13', '27-25=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[84, 25, 71, 27], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [25, 27, 13]
Generated Node #0,2: 15:[25, 27, 13] Operation: 84-71=13
Moving to Node #0,2
Current State: 15:[25, 27, 13], Operations: ['84-71=13']
Exploring Operation: 27-25=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 15:[13, 2] Operation: 27-25=2
Moving to Node #0,2,1
Current State: 15:[13, 2], Operations: ['84-71=13', '27-25=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
79,
4,
27,
50
] | 63 | [
"79-27=52",
"52/4=13",
"50+13=63"
] | Current State: 63:[79, 4, 27, 50], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [4, 50, 52]
Generated Node #2: [4, 50, 52] from Operation: 79-27=52
Current State: 63:[4, 50, 52], Operations: ['79-27=52']
Exploring Operation: 52/4=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 52/4=13
Current State: 63:[50, 13], Operations: ['79-27=52', '52/4=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[79, 4, 27, 50], Operations: []
Exploring Operation: 79-50=29, Resulting Numbers: [4, 27, 29]
Generated Node #0,0: 63:[4, 27, 29] Operation: 79-50=29
Exploring Operation: 50-27=23, Resulting Numbers: [79, 4, 23]
Generated Node #0,1: 63:[79, 4, 23] Operation: 50-27=23
Moving to Node #0,0
Current State: 63:[4, 27, 29], Operations: ['79-50=29']
Exploring Operation: 27+29=56, Resulting Numbers: [4, 56]
Generated Node #0,0,0: 63:[4, 56] Operation: 27+29=56
Exploring Operation: 29-27=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 63:[4, 2] Operation: 29-27=2
Moving to Node #0,1
Current State: 63:[79, 4, 23], Operations: ['50-27=23']
Exploring Operation: 79-23=56, Resulting Numbers: [4, 56]
Generated Node #0,1,0: 63:[4, 56] Operation: 79-23=56
Exploring Operation: 79-4=75, Resulting Numbers: [23, 75]
Generated Node #0,1,1: 63:[23, 75] Operation: 79-4=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[4, 56], Operations: ['50-27=23', '79-23=56']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,63 unequal: No Solution
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[23, 75], Operations: ['50-27=23', '79-4=75']
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 63:[4, 2], Operations: ['79-50=29', '29-27=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[4, 56], Operations: ['79-50=29', '27+29=56']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,63 unequal: No Solution
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,63 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
87,
18,
61,
59
] | 67 | [
"87-18=69",
"61-59=2",
"69-2=67"
] | Current State: 67:[87, 18, 61, 59], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [61, 59, 69]
Generated Node #2: [61, 59, 69] from Operation: 87-18=69
Current State: 67:[61, 59, 69], Operations: ['87-18=69']
Exploring Operation: 61-59=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 61-59=2
Current State: 67:[69, 2], Operations: ['87-18=69', '61-59=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[87, 18, 61, 59], Operations: []
Exploring Operation: 61-18=43, Resulting Numbers: [87, 59, 43]
Generated Node #0,0: 67:[87, 59, 43] Operation: 61-18=43
Exploring Operation: 18+59=77, Resulting Numbers: [87, 61, 77]
Generated Node #0,1: 67:[87, 61, 77] Operation: 18+59=77
Exploring Operation: 18+61=79, Resulting Numbers: [87, 59, 79]
Generated Node #0,2: 67:[87, 59, 79] Operation: 18+61=79
Exploring Operation: 87-18=69, Resulting Numbers: [61, 59, 69]
Generated Node #0,3: 67:[61, 59, 69] Operation: 87-18=69
Exploring Operation: 87+18=105, Resulting Numbers: [61, 59, 105]
Generated Node #0,4: 67:[61, 59, 105] Operation: 87+18=105
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[61, 59, 69], Operations: ['87-18=69']
Exploring Operation: 59+69=128, Resulting Numbers: [61, 128]
Generated Node #0,3,0: 67:[61, 128] Operation: 59+69=128
Exploring Operation: 69-61=8, Resulting Numbers: [59, 8]
Generated Node #0,3,1: 67:[59, 8] Operation: 69-61=8
Exploring Operation: 61+59=120, Resulting Numbers: [69, 120]
Generated Node #0,3,2: 67:[69, 120] Operation: 61+59=120
Exploring Operation: 61-59=2, Resulting Numbers: [69, 2]
Generated Node #0,3,3: 67:[69, 2] Operation: 61-59=2
Exploring Operation: 69-59=10, Resulting Numbers: [61, 10]
Generated Node #0,3,4: 67:[61, 10] Operation: 69-59=10
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 67:[69, 120], Operations: ['87-18=69', '61+59=120']
Exploring Operation: 69*120=8280, Resulting Numbers: [8280]
8280,67 unequal: No Solution
Exploring Operation: 69+120=189, Resulting Numbers: [189]
189,67 unequal: No Solution
Exploring Operation: 120-69=51, Resulting Numbers: [51]
51,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 67:[61, 10], Operations: ['87-18=69', '69-59=10']
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,67 unequal: No Solution
Exploring Operation: 61*10=610, Resulting Numbers: [610]
610,67 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 67:[61, 128], Operations: ['87-18=69', '59+69=128']
Exploring Operation: 61*128=7808, Resulting Numbers: [7808]
7808,67 unequal: No Solution
Exploring Operation: 61+128=189, Resulting Numbers: [189]
189,67 unequal: No Solution
Exploring Operation: 128-61=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[87, 18, 61, 59], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [61, 59, 69]
Generated Node #0,3: 67:[61, 59, 69] Operation: 87-18=69
Moving to Node #0,3
Current State: 67:[61, 59, 69], Operations: ['87-18=69']
Exploring Operation: 59+69=128, Resulting Numbers: [61, 128]
Generated Node #0,3,0: 67:[61, 128] Operation: 59+69=128
Moving to Node #0,3,0
Current State: 67:[61, 128], Operations: ['87-18=69', '59+69=128']
Exploring Operation: 128-61=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
50,
35,
17,
84
] | 70 | [
"84-50=34",
"35*34=1190",
"1190/17=70"
] | Current State: 70:[50, 35, 17, 84], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [35, 17, 34]
Generated Node #2: [35, 17, 34] from Operation: 84-50=34
Current State: 70:[35, 17, 34], Operations: ['84-50=34']
Exploring Operation: 35*34=1190, Resulting Numbers: [17, 1190]
Generated Node #3: [17, 1190] from Operation: 35*34=1190
Current State: 70:[17, 1190], Operations: ['84-50=34', '35*34=1190']
Exploring Operation: 1190/17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[50, 35, 17, 84], Operations: []
Exploring Operation: 50+17=67, Resulting Numbers: [35, 84, 67]
Generated Node #0,0: 70:[35, 84, 67] Operation: 50+17=67
Exploring Operation: 50-17=33, Resulting Numbers: [35, 84, 33]
Generated Node #0,1: 70:[35, 84, 33] Operation: 50-17=33
Exploring Operation: 50-35=15, Resulting Numbers: [17, 84, 15]
Generated Node #0,2: 70:[17, 84, 15] Operation: 50-35=15
Exploring Operation: 84-50=34, Resulting Numbers: [35, 17, 34]
Generated Node #0,3: 70:[35, 17, 34] Operation: 84-50=34
Moving to Node #0,3
Current State: 70:[35, 17, 34], Operations: ['84-50=34']
Exploring Operation: 34-17=17, Resulting Numbers: [35, 17]
Generated Node #0,3,0: 70:[35, 17] Operation: 34-17=17
Exploring Operation: 35+34=69, Resulting Numbers: [17, 69]
Generated Node #0,3,1: 70:[17, 69] Operation: 35+34=69
Exploring Operation: 35-34=1, Resulting Numbers: [17, 1]
Generated Node #0,3,2: 70:[17, 1] Operation: 35-34=1
Exploring Operation: 34/17=2, Resulting Numbers: [35, 2]
Generated Node #0,3,3: 70:[35, 2] Operation: 34/17=2
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[35, 2], Operations: ['84-50=34', '34/17=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[50, 35, 17, 84], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [35, 17, 34]
Generated Node #0,3: 70:[35, 17, 34] Operation: 84-50=34
Moving to Node #0,3
Current State: 70:[35, 17, 34], Operations: ['84-50=34']
Exploring Operation: 34/17=2, Resulting Numbers: [35, 2]
Generated Node #0,3,3: 70:[35, 2] Operation: 34/17=2
Moving to Node #0,3,3
Current State: 70:[35, 2], Operations: ['84-50=34', '34/17=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
89,
25,
21,
44
] | 49 | [
"89+25=114",
"21+44=65",
"114-65=49"
] | Current State: 49:[89, 25, 21, 44], Operations: []
Exploring Operation: 89+25=114, Resulting Numbers: [21, 44, 114]
Generated Node #2: [21, 44, 114] from Operation: 89+25=114
Current State: 49:[21, 44, 114], Operations: ['89+25=114']
Exploring Operation: 21+44=65, Resulting Numbers: [114, 65]
Generated Node #3: [114, 65] from Operation: 21+44=65
Current State: 49:[114, 65], Operations: ['89+25=114', '21+44=65']
Exploring Operation: 114-65=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[89, 25, 21, 44], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [25, 21, 45]
Generated Node #0,0: 49:[25, 21, 45] Operation: 89-44=45
Exploring Operation: 89-21=68, Resulting Numbers: [25, 44, 68]
Generated Node #0,1: 49:[25, 44, 68] Operation: 89-21=68
Exploring Operation: 89-25=64, Resulting Numbers: [21, 44, 64]
Generated Node #0,2: 49:[21, 44, 64] Operation: 89-25=64
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[21, 44, 64], Operations: ['89-25=64']
Exploring Operation: 64-44=20, Resulting Numbers: [21, 20]
Generated Node #0,2,0: 49:[21, 20] Operation: 64-44=20
Exploring Operation: 21+44=65, Resulting Numbers: [64, 65]
Generated Node #0,2,1: 49:[64, 65] Operation: 21+44=65
Exploring Operation: 64-21=43, Resulting Numbers: [44, 43]
Generated Node #0,2,2: 49:[44, 43] Operation: 64-21=43
Moving to Node #0,2,2
Current State: 49:[44, 43], Operations: ['89-25=64', '64-21=43']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,49 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[21, 20], Operations: ['89-25=64', '64-44=20']
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,49 unequal: No Solution
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,49 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[64, 65], Operations: ['89-25=64', '21+44=65']
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,49 unequal: No Solution
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,49 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[25, 21, 45], Operations: ['89-44=45']
Exploring Operation: 25+21=46, Resulting Numbers: [45, 46]
Generated Node #0,0,0: 49:[45, 46] Operation: 25+21=46
Exploring Operation: 25-21=4, Resulting Numbers: [45, 4]
Generated Node #0,0,1: 49:[45, 4] Operation: 25-21=4
Exploring Operation: 45-25=20, Resulting Numbers: [21, 20]
Generated Node #0,0,2: 49:[21, 20] Operation: 45-25=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[45, 46], Operations: ['89-44=45', '25+21=46']
Exploring Operation: 45+46=91, Resulting Numbers: [91]
91,49 unequal: No Solution
Exploring Operation: 46-45=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 45*46=2070, Resulting Numbers: [2070]
2070,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[45, 4], Operations: ['89-44=45', '25-21=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,49 unequal: No Solution
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[89, 25, 21, 44], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [25, 21, 45]
Generated Node #0,0: 49:[25, 21, 45] Operation: 89-44=45
Moving to Node #0,0
Current State: 49:[25, 21, 45], Operations: ['89-44=45']
Exploring Operation: 25-21=4, Resulting Numbers: [45, 4]
Generated Node #0,0,1: 49:[45, 4] Operation: 25-21=4
Moving to Node #0,0,1
Current State: 49:[45, 4], Operations: ['89-44=45', '25-21=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
40,
27,
37,
5
] | 18 | [
"40/5=8",
"37-27=10",
"8+10=18"
] | Current State: 18:[40, 27, 37, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [27, 37, 8]
Generated Node #2: [27, 37, 8] from Operation: 40/5=8
Current State: 18:[27, 37, 8], Operations: ['40/5=8']
Exploring Operation: 37-27=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 37-27=10
Current State: 18:[8, 10], Operations: ['40/5=8', '37-27=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[40, 27, 37, 5], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [37, 5, 13]
Generated Node #0,0: 18:[37, 5, 13] Operation: 40-27=13
Exploring Operation: 40/5=8, Resulting Numbers: [27, 37, 8]
Generated Node #0,1: 18:[27, 37, 8] Operation: 40/5=8
Exploring Operation: 40-37=3, Resulting Numbers: [27, 5, 3]
Generated Node #0,2: 18:[27, 5, 3] Operation: 40-37=3
Exploring Operation: 37-27=10, Resulting Numbers: [40, 5, 10]
Generated Node #0,3: 18:[40, 5, 10] Operation: 37-27=10
Moving to Node #0,2
Current State: 18:[27, 5, 3], Operations: ['40-37=3']
Exploring Operation: 5-3=2, Resulting Numbers: [27, 2]
Generated Node #0,2,0: 18:[27, 2] Operation: 5-3=2
Exploring Operation: 27/3=9, Resulting Numbers: [5, 9]
Generated Node #0,2,1: 18:[5, 9] Operation: 27/3=9
Exploring Operation: 27-3=24, Resulting Numbers: [5, 24]
Generated Node #0,2,2: 18:[5, 24] Operation: 27-3=24
Exploring Operation: 27-5=22, Resulting Numbers: [3, 22]
Generated Node #0,2,3: 18:[3, 22] Operation: 27-5=22
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[5, 9], Operations: ['40-37=3', '27/3=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 18:[3, 22], Operations: ['40-37=3', '27-5=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[5, 24], Operations: ['40-37=3', '27-3=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,18 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[27, 2], Operations: ['40-37=3', '5-3=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 18:[40, 5, 10], Operations: ['37-27=10']
Exploring Operation: 40/5=8, Resulting Numbers: [10, 8]
Generated Node #0,3,0: 18:[10, 8] Operation: 40/5=8
Exploring Operation: 40-5=35, Resulting Numbers: [10, 35]
Generated Node #0,3,1: 18:[10, 35] Operation: 40-5=35
Exploring Operation: 40-10=30, Resulting Numbers: [5, 30]
Generated Node #0,3,2: 18:[5, 30] Operation: 40-10=30
Exploring Operation: 40/10=4, Resulting Numbers: [5, 4]
Generated Node #0,3,3: 18:[5, 4] Operation: 40/10=4
Moving to Node #0,0
Current State: 18:[37, 5, 13], Operations: ['40-27=13']
Exploring Operation: 5+13=18, Resulting Numbers: [37, 18]
Generated Node #0,0,0: 18:[37, 18] Operation: 5+13=18
Exploring Operation: 37-5=32, Resulting Numbers: [13, 32]
Generated Node #0,0,1: 18:[13, 32] Operation: 37-5=32
Exploring Operation: 37-13=24, Resulting Numbers: [5, 24]
Generated Node #0,0,2: 18:[5, 24] Operation: 37-13=24
Exploring Operation: 13-5=8, Resulting Numbers: [37, 8]
Generated Node #0,0,3: 18:[37, 8] Operation: 13-5=8
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 18:[5, 24], Operations: ['40-27=13', '37-13=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[13, 32], Operations: ['40-27=13', '37-5=32']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,18 unequal: No Solution
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[37, 18], Operations: ['40-27=13', '5+13=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,18 unequal: No Solution
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 18:[37, 8], Operations: ['40-27=13', '13-5=8']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,18 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 18:[27, 37, 8], Operations: ['40/5=8']
Exploring Operation: 37-8=29, Resulting Numbers: [27, 29]
Generated Node #0,1,0: 18:[27, 29] Operation: 37-8=29
Exploring Operation: 37-27=10, Resulting Numbers: [8, 10]
Generated Node #0,1,1: 18:[8, 10] Operation: 37-27=10
Exploring Operation: 27-8=19, Resulting Numbers: [37, 19]
Generated Node #0,1,2: 18:[37, 19] Operation: 27-8=19
Exploring Operation: 27+8=35, Resulting Numbers: [37, 35]
Generated Node #0,1,3: 18:[37, 35] Operation: 27+8=35
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[8, 10], Operations: ['40/5=8', '37-27=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,18 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[40, 27, 37, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [27, 37, 8]
Generated Node #0,1: 18:[27, 37, 8] Operation: 40/5=8
Moving to Node #0,1
Current State: 18:[27, 37, 8], Operations: ['40/5=8']
Exploring Operation: 37-27=10, Resulting Numbers: [8, 10]
Generated Node #0,1,1: 18:[8, 10] Operation: 37-27=10
Moving to Node #0,1,1
Current State: 18:[8, 10], Operations: ['40/5=8', '37-27=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_4 | mult_heuristic |
[
99,
62,
39,
2
] | 29 | [
"99-39=60",
"62/2=31",
"60-31=29"
] | Current State: 29:[99, 62, 39, 2], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [62, 2, 60]
Generated Node #2: [62, 2, 60] from Operation: 99-39=60
Current State: 29:[62, 2, 60], Operations: ['99-39=60']
Exploring Operation: 62/2=31, Resulting Numbers: [60, 31]
Generated Node #3: [60, 31] from Operation: 62/2=31
Current State: 29:[60, 31], Operations: ['99-39=60', '62/2=31']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[99, 62, 39, 2], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [99, 39, 31]
Generated Node #0,0: 29:[99, 39, 31] Operation: 62/2=31
Exploring Operation: 99-62=37, Resulting Numbers: [39, 2, 37]
Generated Node #0,1: 29:[39, 2, 37] Operation: 99-62=37
Moving to Node #0,1
Current State: 29:[39, 2, 37], Operations: ['99-62=37']
Exploring Operation: 39-2=37, Resulting Numbers: [37, 37]
Generated Node #0,1,0: 29:[37, 37] Operation: 39-2=37
Exploring Operation: 37-2=35, Resulting Numbers: [39, 35]
Generated Node #0,1,1: 29:[39, 35] Operation: 37-2=35
Moving to Node #0,0
Current State: 29:[99, 39, 31], Operations: ['62/2=31']
Exploring Operation: 99-31=68, Resulting Numbers: [39, 68]
Generated Node #0,0,0: 29:[39, 68] Operation: 99-31=68
Exploring Operation: 99-39=60, Resulting Numbers: [31, 60]
Generated Node #0,0,1: 29:[31, 60] Operation: 99-39=60
Moving to Node #0,1,0
Current State: 29:[37, 37], Operations: ['99-62=37', '39-2=37']
Exploring Operation: 37/37=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 37-37=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[39, 35], Operations: ['99-62=37', '37-2=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[31, 60], Operations: ['62/2=31', '99-39=60']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[99, 62, 39, 2], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [99, 39, 31]
Generated Node #0,0: 29:[99, 39, 31] Operation: 62/2=31
Moving to Node #0,0
Current State: 29:[99, 39, 31], Operations: ['62/2=31']
Exploring Operation: 99-39=60, Resulting Numbers: [31, 60]
Generated Node #0,0,1: 29:[31, 60] Operation: 99-39=60
Moving to Node #0,0,1
Current State: 29:[31, 60], Operations: ['62/2=31', '99-39=60']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
73,
7,
79,
20
] | 75 | [
"73+7=80",
"80/20=4",
"79-4=75"
] | Current State: 75:[73, 7, 79, 20], Operations: []
Exploring Operation: 73+7=80, Resulting Numbers: [79, 20, 80]
Generated Node #2: [79, 20, 80] from Operation: 73+7=80
Current State: 75:[79, 20, 80], Operations: ['73+7=80']
Exploring Operation: 80/20=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 80/20=4
Current State: 75:[79, 4], Operations: ['73+7=80', '80/20=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[73, 7, 79, 20], Operations: []
Exploring Operation: 79-7=72, Resulting Numbers: [73, 20, 72]
Generated Node #0,0: 75:[73, 20, 72] Operation: 79-7=72
Exploring Operation: 7+20=27, Resulting Numbers: [73, 79, 27]
Generated Node #0,1: 75:[73, 79, 27] Operation: 7+20=27
Exploring Operation: 79-73=6, Resulting Numbers: [7, 20, 6]
Generated Node #0,2: 75:[7, 20, 6] Operation: 79-73=6
Exploring Operation: 20-7=13, Resulting Numbers: [73, 79, 13]
Generated Node #0,3: 75:[73, 79, 13] Operation: 20-7=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[73, 79, 27], Operations: ['7+20=27']
Exploring Operation: 73-27=46, Resulting Numbers: [79, 46]
Generated Node #0,1,0: 75:[79, 46] Operation: 73-27=46
Exploring Operation: 73+27=100, Resulting Numbers: [79, 100]
Generated Node #0,1,1: 75:[79, 100] Operation: 73+27=100
Exploring Operation: 79-27=52, Resulting Numbers: [73, 52]
Generated Node #0,1,2: 75:[73, 52] Operation: 79-27=52
Exploring Operation: 79-73=6, Resulting Numbers: [27, 6]
Generated Node #0,1,3: 75:[27, 6] Operation: 79-73=6
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 75:[27, 6], Operations: ['7+20=27', '79-73=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[79, 46], Operations: ['7+20=27', '73-27=46']
Exploring Operation: 79-46=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 79*46=3634, Resulting Numbers: [3634]
3634,75 unequal: No Solution
Exploring Operation: 79+46=125, Resulting Numbers: [125]
125,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[73, 52], Operations: ['7+20=27', '79-27=52']
Exploring Operation: 73*52=3796, Resulting Numbers: [3796]
3796,75 unequal: No Solution
Exploring Operation: 73+52=125, Resulting Numbers: [125]
125,75 unequal: No Solution
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[79, 100], Operations: ['7+20=27', '73+27=100']
Exploring Operation: 79+100=179, Resulting Numbers: [179]
179,75 unequal: No Solution
Exploring Operation: 79*100=7900, Resulting Numbers: [7900]
7900,75 unequal: No Solution
Exploring Operation: 100-79=21, Resulting Numbers: [21]
21,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[7, 20, 6], Operations: ['79-73=6']
Exploring Operation: 20+6=26, Resulting Numbers: [7, 26]
Generated Node #0,2,0: 75:[7, 26] Operation: 20+6=26
Exploring Operation: 7+20=27, Resulting Numbers: [6, 27]
Generated Node #0,2,1: 75:[6, 27] Operation: 7+20=27
Exploring Operation: 20-6=14, Resulting Numbers: [7, 14]
Generated Node #0,2,2: 75:[7, 14] Operation: 20-6=14
Exploring Operation: 20-7=13, Resulting Numbers: [6, 13]
Generated Node #0,2,3: 75:[6, 13] Operation: 20-7=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[7, 26], Operations: ['79-73=6', '20+6=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,75 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[6, 27], Operations: ['79-73=6', '7+20=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,75 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 75:[7, 14], Operations: ['79-73=6', '20-6=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 75:[6, 13], Operations: ['79-73=6', '20-7=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[73, 79, 13], Operations: ['20-7=13']
Exploring Operation: 79-13=66, Resulting Numbers: [73, 66]
Generated Node #0,3,0: 75:[73, 66] Operation: 79-13=66
Exploring Operation: 79-73=6, Resulting Numbers: [13, 6]
Generated Node #0,3,1: 75:[13, 6] Operation: 79-73=6
Exploring Operation: 73+13=86, Resulting Numbers: [79, 86]
Generated Node #0,3,2: 75:[79, 86] Operation: 73+13=86
Exploring Operation: 73-13=60, Resulting Numbers: [79, 60]
Generated Node #0,3,3: 75:[79, 60] Operation: 73-13=60
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 75:[13, 6], Operations: ['20-7=13', '79-73=6']
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 75:[73, 66], Operations: ['20-7=13', '79-13=66']
Exploring Operation: 73*66=4818, Resulting Numbers: [4818]
4818,75 unequal: No Solution
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 73+66=139, Resulting Numbers: [139]
139,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 75:[79, 86], Operations: ['20-7=13', '73+13=86']
Exploring Operation: 79+86=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Exploring Operation: 86-79=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 79*86=6794, Resulting Numbers: [6794]
6794,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[79, 60], Operations: ['20-7=13', '73-13=60']
Exploring Operation: 79+60=139, Resulting Numbers: [139]
139,75 unequal: No Solution
Exploring Operation: 79*60=4740, Resulting Numbers: [4740]
4740,75 unequal: No Solution
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[73, 20, 72], Operations: ['79-7=72']
Exploring Operation: 73-72=1, Resulting Numbers: [20, 1]
Generated Node #0,0,0: 75:[20, 1] Operation: 73-72=1
Exploring Operation: 20+72=92, Resulting Numbers: [73, 92]
Generated Node #0,0,1: 75:[73, 92] Operation: 20+72=92
Exploring Operation: 73-20=53, Resulting Numbers: [72, 53]
Generated Node #0,0,2: 75:[72, 53] Operation: 73-20=53
Exploring Operation: 73+20=93, Resulting Numbers: [72, 93]
Generated Node #0,0,3: 75:[72, 93] Operation: 73+20=93
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[20, 1], Operations: ['79-7=72', '73-72=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[73, 92], Operations: ['79-7=72', '20+72=92']
Exploring Operation: 73*92=6716, Resulting Numbers: [6716]
6716,75 unequal: No Solution
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 73+92=165, Resulting Numbers: [165]
165,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 75:[72, 93], Operations: ['79-7=72', '73+20=93']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 72+93=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Exploring Operation: 72*93=6696, Resulting Numbers: [6696]
6696,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[72, 53], Operations: ['79-7=72', '73-20=53']
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 72*53=3816, Resulting Numbers: [3816]
3816,75 unequal: No Solution
Exploring Operation: 72+53=125, Resulting Numbers: [125]
125,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
5,
20,
92,
3
] | 32 | [
"20/5=4",
"92+4=96",
"96/3=32"
] | Current State: 32:[5, 20, 92, 3], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [92, 3, 4]
Generated Node #2: [92, 3, 4] from Operation: 20/5=4
Current State: 32:[92, 3, 4], Operations: ['20/5=4']
Exploring Operation: 92+4=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 92+4=96
Current State: 32:[3, 96], Operations: ['20/5=4', '92+4=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[5, 20, 92, 3], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [92, 3, 4]
Generated Node #0,0: 32:[92, 3, 4] Operation: 20/5=4
Exploring Operation: 92-5=87, Resulting Numbers: [20, 3, 87]
Generated Node #0,1: 32:[20, 3, 87] Operation: 92-5=87
Exploring Operation: 92-20=72, Resulting Numbers: [5, 3, 72]
Generated Node #0,2: 32:[5, 3, 72] Operation: 92-20=72
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[5, 3, 72], Operations: ['92-20=72']
Exploring Operation: 72/3=24, Resulting Numbers: [5, 24]
Generated Node #0,2,0: 32:[5, 24] Operation: 72/3=24
Exploring Operation: 72-3=69, Resulting Numbers: [5, 69]
Generated Node #0,2,1: 32:[5, 69] Operation: 72-3=69
Exploring Operation: 72-5=67, Resulting Numbers: [3, 67]
Generated Node #0,2,2: 32:[3, 67] Operation: 72-5=67
Moving to Node #0,2,0
Current State: 32:[5, 24], Operations: ['92-20=72', '72/3=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,32 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,32 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[3, 67], Operations: ['92-20=72', '72-5=67']
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,32 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[5, 69], Operations: ['92-20=72', '72-3=69']
Exploring Operation: 5*69=345, Resulting Numbers: [345]
345,32 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,32 unequal: No Solution
Exploring Operation: 5+69=74, Resulting Numbers: [74]
74,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[20, 3, 87], Operations: ['92-5=87']
Exploring Operation: 20-3=17, Resulting Numbers: [87, 17]
Generated Node #0,1,0: 32:[87, 17] Operation: 20-3=17
Exploring Operation: 87/3=29, Resulting Numbers: [20, 29]
Generated Node #0,1,1: 32:[20, 29] Operation: 87/3=29
Exploring Operation: 87-20=67, Resulting Numbers: [3, 67]
Generated Node #0,1,2: 32:[3, 67] Operation: 87-20=67
Moving to Node #0,1,1
Current State: 32:[20, 29], Operations: ['92-5=87', '87/3=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,32 unequal: No Solution
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,32 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[3, 67], Operations: ['92-5=87', '87-20=67']
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,32 unequal: No Solution
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[87, 17], Operations: ['92-5=87', '20-3=17']
Exploring Operation: 87+17=104, Resulting Numbers: [104]
104,32 unequal: No Solution
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Exploring Operation: 87*17=1479, Resulting Numbers: [1479]
1479,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[92, 3, 4], Operations: ['20/5=4']
Exploring Operation: 92/4=23, Resulting Numbers: [3, 23]
Generated Node #0,0,0: 32:[3, 23] Operation: 92/4=23
Exploring Operation: 92-4=88, Resulting Numbers: [3, 88]
Generated Node #0,0,1: 32:[3, 88] Operation: 92-4=88
Exploring Operation: 92-3=89, Resulting Numbers: [4, 89]
Generated Node #0,0,2: 32:[4, 89] Operation: 92-3=89
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[3, 23], Operations: ['20/5=4', '92/4=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,32 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 32:[3, 88], Operations: ['20/5=4', '92-4=88']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,32 unequal: No Solution
Exploring Operation: 3*88=264, Resulting Numbers: [264]
264,32 unequal: No Solution
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[4, 89], Operations: ['20/5=4', '92-3=89']
Exploring Operation: 4*89=356, Resulting Numbers: [356]
356,32 unequal: No Solution
Exploring Operation: 4+89=93, Resulting Numbers: [93]
93,32 unequal: No Solution
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
30,
90,
26,
35
] | 43 | [
"90/30=3",
"26*3=78",
"78-35=43"
] | Current State: 43:[30, 90, 26, 35], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [26, 35, 3]
Generated Node #2: [26, 35, 3] from Operation: 90/30=3
Current State: 43:[26, 35, 3], Operations: ['90/30=3']
Exploring Operation: 26*3=78, Resulting Numbers: [35, 78]
Generated Node #3: [35, 78] from Operation: 26*3=78
Current State: 43:[35, 78], Operations: ['90/30=3', '26*3=78']
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[30, 90, 26, 35], Operations: []
Exploring Operation: 90-30=60, Resulting Numbers: [26, 35, 60]
Generated Node #0,0: 43:[26, 35, 60] Operation: 90-30=60
Exploring Operation: 90-26=64, Resulting Numbers: [30, 35, 64]
Generated Node #0,1: 43:[30, 35, 64] Operation: 90-26=64
Moving to Node #0,0
Current State: 43:[26, 35, 60], Operations: ['90-30=60']
Exploring Operation: 26+35=61, Resulting Numbers: [60, 61]
Generated Node #0,0,0: 43:[60, 61] Operation: 26+35=61
Exploring Operation: 60-26=34, Resulting Numbers: [35, 34]
Generated Node #0,0,1: 43:[35, 34] Operation: 60-26=34
Moving to Node #0,1
Current State: 43:[30, 35, 64], Operations: ['90-26=64']
Exploring Operation: 64-35=29, Resulting Numbers: [30, 29]
Generated Node #0,1,0: 43:[30, 29] Operation: 64-35=29
Exploring Operation: 64-30=34, Resulting Numbers: [35, 34]
Generated Node #0,1,1: 43:[35, 34] Operation: 64-30=34
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[35, 34], Operations: ['90-26=64', '64-30=34']
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[30, 29], Operations: ['90-26=64', '64-35=29']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 43:[35, 34], Operations: ['90-30=60', '60-26=34']
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[60, 61], Operations: ['90-30=60', '26+35=61']
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,43 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
34,
74,
51,
15
] | 37 | [
"51-34=17",
"17-15=2",
"74/2=37"
] | Current State: 37:[34, 74, 51, 15], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [74, 15, 17]
Generated Node #2: [74, 15, 17] from Operation: 51-34=17
Current State: 37:[74, 15, 17], Operations: ['51-34=17']
Exploring Operation: 17-15=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 17-15=2
Current State: 37:[74, 2], Operations: ['51-34=17', '17-15=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[34, 74, 51, 15], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [51, 15, 40]
Generated Node #0,0: 37:[51, 15, 40] Operation: 74-34=40
Exploring Operation: 74-51=23, Resulting Numbers: [34, 15, 23]
Generated Node #0,1: 37:[34, 15, 23] Operation: 74-51=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[51, 15, 40], Operations: ['74-34=40']
Exploring Operation: 40-15=25, Resulting Numbers: [51, 25]
Generated Node #0,0,0: 37:[51, 25] Operation: 40-15=25
Exploring Operation: 51-15=36, Resulting Numbers: [40, 36]
Generated Node #0,0,1: 37:[40, 36] Operation: 51-15=36
Moving to Node #0,0,1
Current State: 37:[40, 36], Operations: ['74-34=40', '51-15=36']
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[51, 25], Operations: ['74-34=40', '40-15=25']
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[34, 15, 23], Operations: ['74-51=23']
Exploring Operation: 34+15=49, Resulting Numbers: [23, 49]
Generated Node #0,1,0: 37:[23, 49] Operation: 34+15=49
Exploring Operation: 15+23=38, Resulting Numbers: [34, 38]
Generated Node #0,1,1: 37:[34, 38] Operation: 15+23=38
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[34, 38], Operations: ['74-51=23', '15+23=38']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[23, 49], Operations: ['74-51=23', '34+15=49']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
71,
80,
46,
56
] | 79 | [
"56-46=10",
"80/10=8",
"71+8=79"
] | Current State: 79:[71, 80, 46, 56], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [71, 80, 10]
Generated Node #2: [71, 80, 10] from Operation: 56-46=10
Current State: 79:[71, 80, 10], Operations: ['56-46=10']
Exploring Operation: 80/10=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 80/10=8
Current State: 79:[71, 8], Operations: ['56-46=10', '80/10=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[71, 80, 46, 56], Operations: []
Exploring Operation: 46+56=102, Resulting Numbers: [71, 80, 102]
Generated Node #0,0: 79:[71, 80, 102] Operation: 46+56=102
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[71, 80, 102], Operations: ['46+56=102']
Exploring Operation: 102-71=31, Resulting Numbers: [80, 31]
Generated Node #0,0,0: 79:[80, 31] Operation: 102-71=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[80, 31], Operations: ['46+56=102', '102-71=31']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
48,
68,
21,
65
] | 66 | [
"68-48=20",
"21+65=86",
"86-20=66"
] | Current State: 66:[48, 68, 21, 65], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [21, 65, 20]
Generated Node #2: [21, 65, 20] from Operation: 68-48=20
Current State: 66:[21, 65, 20], Operations: ['68-48=20']
Exploring Operation: 21+65=86, Resulting Numbers: [20, 86]
Generated Node #3: [20, 86] from Operation: 21+65=86
Current State: 66:[20, 86], Operations: ['68-48=20', '21+65=86']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[48, 68, 21, 65], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [21, 65, 20]
Generated Node #0,0: 66:[21, 65, 20] Operation: 68-48=20
Moving to Node #0,0
Current State: 66:[21, 65, 20], Operations: ['68-48=20']
Exploring Operation: 21-20=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 66:[65, 1] Operation: 21-20=1
Moving to Node #0,0,0
Current State: 66:[65, 1], Operations: ['68-48=20', '21-20=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[48, 68, 21, 65], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [21, 65, 20]
Generated Node #0,0: 66:[21, 65, 20] Operation: 68-48=20
Moving to Node #0,0
Current State: 66:[21, 65, 20], Operations: ['68-48=20']
Exploring Operation: 21-20=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 66:[65, 1] Operation: 21-20=1
Moving to Node #0,0,0
Current State: 66:[65, 1], Operations: ['68-48=20', '21-20=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
6,
98,
5,
95
] | 27 | [
"6*5=30",
"98-95=3",
"30-3=27"
] | Current State: 27:[6, 98, 5, 95], Operations: []
Exploring Operation: 6*5=30, Resulting Numbers: [98, 95, 30]
Generated Node #2: [98, 95, 30] from Operation: 6*5=30
Current State: 27:[98, 95, 30], Operations: ['6*5=30']
Exploring Operation: 98-95=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 98-95=3
Current State: 27:[30, 3], Operations: ['6*5=30', '98-95=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[6, 98, 5, 95], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [6, 5, 3]
Generated Node #0,0: 27:[6, 5, 3] Operation: 98-95=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[6, 5, 3], Operations: ['98-95=3']
Exploring Operation: 6+5=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 27:[3, 11] Operation: 6+5=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[3, 11], Operations: ['98-95=3', '6+5=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
46,
97,
16,
56
] | 64 | [
"46*56=2576",
"2576/16=161",
"161-97=64"
] | Current State: 64:[46, 97, 16, 56], Operations: []
Exploring Operation: 46*56=2576, Resulting Numbers: [97, 16, 2576]
Generated Node #2: [97, 16, 2576] from Operation: 46*56=2576
Current State: 64:[97, 16, 2576], Operations: ['46*56=2576']
Exploring Operation: 2576/16=161, Resulting Numbers: [97, 161]
Generated Node #3: [97, 161] from Operation: 2576/16=161
Current State: 64:[97, 161], Operations: ['46*56=2576', '2576/16=161']
Exploring Operation: 161-97=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[46, 97, 16, 56], Operations: []
Exploring Operation: 97-46=51, Resulting Numbers: [16, 56, 51]
Generated Node #0,0: 64:[16, 56, 51] Operation: 97-46=51
Exploring Operation: 97-56=41, Resulting Numbers: [46, 16, 41]
Generated Node #0,1: 64:[46, 16, 41] Operation: 97-56=41
Exploring Operation: 56-46=10, Resulting Numbers: [97, 16, 10]
Generated Node #0,2: 64:[97, 16, 10] Operation: 56-46=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[16, 56, 51], Operations: ['97-46=51']
Exploring Operation: 51-16=35, Resulting Numbers: [56, 35]
Generated Node #0,0,0: 64:[56, 35] Operation: 51-16=35
Exploring Operation: 16+51=67, Resulting Numbers: [56, 67]
Generated Node #0,0,1: 64:[56, 67] Operation: 16+51=67
Exploring Operation: 56-51=5, Resulting Numbers: [16, 5]
Generated Node #0,0,2: 64:[16, 5] Operation: 56-51=5
Moving to Node #0,0,2
Current State: 64:[16, 5], Operations: ['97-46=51', '56-51=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[56, 35], Operations: ['97-46=51', '51-16=35']
Exploring Operation: 56+35=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 56*35=1960, Resulting Numbers: [1960]
1960,64 unequal: No Solution
Exploring Operation: 56-35=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[56, 67], Operations: ['97-46=51', '16+51=67']
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 56*67=3752, Resulting Numbers: [3752]
3752,64 unequal: No Solution
Exploring Operation: 56+67=123, Resulting Numbers: [123]
123,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[46, 16, 41], Operations: ['97-56=41']
Exploring Operation: 46-41=5, Resulting Numbers: [16, 5]
Generated Node #0,1,0: 64:[16, 5] Operation: 46-41=5
Exploring Operation: 46-16=30, Resulting Numbers: [41, 30]
Generated Node #0,1,1: 64:[41, 30] Operation: 46-16=30
Exploring Operation: 46+16=62, Resulting Numbers: [41, 62]
Generated Node #0,1,2: 64:[41, 62] Operation: 46+16=62
Moving to Node #0,1,0
Current State: 64:[16, 5], Operations: ['97-56=41', '46-41=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,64 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[41, 30], Operations: ['97-56=41', '46-16=30']
Exploring Operation: 41*30=1230, Resulting Numbers: [1230]
1230,64 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 41+30=71, Resulting Numbers: [71]
71,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[41, 62], Operations: ['97-56=41', '46+16=62']
Exploring Operation: 41+62=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 41*62=2542, Resulting Numbers: [2542]
2542,64 unequal: No Solution
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[97, 16, 10], Operations: ['56-46=10']
Exploring Operation: 97-10=87, Resulting Numbers: [16, 87]
Generated Node #0,2,0: 64:[16, 87] Operation: 97-10=87
Exploring Operation: 97-16=81, Resulting Numbers: [10, 81]
Generated Node #0,2,1: 64:[10, 81] Operation: 97-16=81
Exploring Operation: 16-10=6, Resulting Numbers: [97, 6]
Generated Node #0,2,2: 64:[97, 6] Operation: 16-10=6
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 64:[10, 81], Operations: ['56-46=10', '97-16=81']
Exploring Operation: 10*81=810, Resulting Numbers: [810]
810,64 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,64 unequal: No Solution
Exploring Operation: 10+81=91, Resulting Numbers: [91]
91,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 64:[16, 87], Operations: ['56-46=10', '97-10=87']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,64 unequal: No Solution
Exploring Operation: 16+87=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 16*87=1392, Resulting Numbers: [1392]
1392,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 64:[97, 6], Operations: ['56-46=10', '16-10=6']
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,64 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
57,
77,
92,
2
] | 56 | [
"77-57=20",
"92+20=112",
"112/2=56"
] | Current State: 56:[57, 77, 92, 2], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [92, 2, 20]
Generated Node #2: [92, 2, 20] from Operation: 77-57=20
Current State: 56:[92, 2, 20], Operations: ['77-57=20']
Exploring Operation: 92+20=112, Resulting Numbers: [2, 112]
Generated Node #3: [2, 112] from Operation: 92+20=112
Current State: 56:[2, 112], Operations: ['77-57=20', '92+20=112']
Exploring Operation: 112/2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[57, 77, 92, 2], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [57, 2, 15]
Generated Node #0,0: 56:[57, 2, 15] Operation: 92-77=15
Exploring Operation: 92-57=35, Resulting Numbers: [77, 2, 35]
Generated Node #0,1: 56:[77, 2, 35] Operation: 92-57=35
Exploring Operation: 92/2=46, Resulting Numbers: [57, 77, 46]
Generated Node #0,2: 56:[57, 77, 46] Operation: 92/2=46
Moving to Node #0,0
Current State: 56:[57, 2, 15], Operations: ['92-77=15']
Exploring Operation: 57-2=55, Resulting Numbers: [15, 55]
Generated Node #0,0,0: 56:[15, 55] Operation: 57-2=55
Exploring Operation: 15-2=13, Resulting Numbers: [57, 13]
Generated Node #0,0,1: 56:[57, 13] Operation: 15-2=13
Exploring Operation: 2*15=30, Resulting Numbers: [57, 30]
Generated Node #0,0,2: 56:[57, 30] Operation: 2*15=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[15, 55], Operations: ['92-77=15', '57-2=55']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 15+55=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 15*55=825, Resulting Numbers: [825]
825,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[57, 13], Operations: ['92-77=15', '15-2=13']
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,56 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[57, 30], Operations: ['92-77=15', '2*15=30']
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,56 unequal: No Solution
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 57*30=1710, Resulting Numbers: [1710]
1710,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 56:[77, 2, 35], Operations: ['92-57=35']
Exploring Operation: 77-2=75, Resulting Numbers: [35, 75]
Generated Node #0,1,0: 56:[35, 75] Operation: 77-2=75
Exploring Operation: 77-35=42, Resulting Numbers: [2, 42]
Generated Node #0,1,1: 56:[2, 42] Operation: 77-35=42
Exploring Operation: 35-2=33, Resulting Numbers: [77, 33]
Generated Node #0,1,2: 56:[77, 33] Operation: 35-2=33
Moving to Node #0,2
Current State: 56:[57, 77, 46], Operations: ['92/2=46']
Exploring Operation: 77-57=20, Resulting Numbers: [46, 20]
Generated Node #0,2,0: 56:[46, 20] Operation: 77-57=20
Exploring Operation: 57-46=11, Resulting Numbers: [77, 11]
Generated Node #0,2,1: 56:[77, 11] Operation: 57-46=11
Exploring Operation: 77-46=31, Resulting Numbers: [57, 31]
Generated Node #0,2,2: 56:[57, 31] Operation: 77-46=31
Moving to Node #0,2,2
Current State: 56:[57, 31], Operations: ['92/2=46', '77-46=31']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,56 unequal: No Solution
Exploring Operation: 57*31=1767, Resulting Numbers: [1767]
1767,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[2, 42], Operations: ['92-57=35', '77-35=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[46, 20], Operations: ['92/2=46', '77-57=20']
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,56 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[77, 11], Operations: ['92/2=46', '57-46=11']
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,56 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[35, 75], Operations: ['92-57=35', '77-2=75']
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 35+75=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 35*75=2625, Resulting Numbers: [2625]
2625,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[77, 33], Operations: ['92-57=35', '35-2=33']
Exploring Operation: 77-33=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 77+33=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 77*33=2541, Resulting Numbers: [2541]
2541,56 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
67,
30,
14,
17
] | 94 | [
"67+30=97",
"17-14=3",
"97-3=94"
] | Current State: 94:[67, 30, 14, 17], Operations: []
Exploring Operation: 67+30=97, Resulting Numbers: [14, 17, 97]
Generated Node #2: [14, 17, 97] from Operation: 67+30=97
Current State: 94:[14, 17, 97], Operations: ['67+30=97']
Exploring Operation: 17-14=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 17-14=3
Current State: 94:[97, 3], Operations: ['67+30=97', '17-14=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[67, 30, 14, 17], Operations: []
Exploring Operation: 67+30=97, Resulting Numbers: [14, 17, 97]
Generated Node #0,0: 94:[14, 17, 97] Operation: 67+30=97
Exploring Operation: 30+17=47, Resulting Numbers: [67, 14, 47]
Generated Node #0,1: 94:[67, 14, 47] Operation: 30+17=47
Exploring Operation: 67-17=50, Resulting Numbers: [30, 14, 50]
Generated Node #0,2: 94:[30, 14, 50] Operation: 67-17=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[14, 17, 97], Operations: ['67+30=97']
Exploring Operation: 97-14=83, Resulting Numbers: [17, 83]
Generated Node #0,0,0: 94:[17, 83] Operation: 97-14=83
Exploring Operation: 17-14=3, Resulting Numbers: [97, 3]
Generated Node #0,0,1: 94:[97, 3] Operation: 17-14=3
Exploring Operation: 14+17=31, Resulting Numbers: [97, 31]
Generated Node #0,0,2: 94:[97, 31] Operation: 14+17=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[97, 3], Operations: ['67+30=97', '17-14=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,94 unequal: No Solution
Exploring Operation: 97*3=291, Resulting Numbers: [291]
291,94 unequal: No Solution
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[67, 30, 14, 17], Operations: []
Exploring Operation: 67+30=97, Resulting Numbers: [14, 17, 97]
Generated Node #0,0: 94:[14, 17, 97] Operation: 67+30=97
Moving to Node #0,0
Current State: 94:[14, 17, 97], Operations: ['67+30=97']
Exploring Operation: 17-14=3, Resulting Numbers: [97, 3]
Generated Node #0,0,1: 94:[97, 3] Operation: 17-14=3
Moving to Node #0,0,1
Current State: 94:[97, 3], Operations: ['67+30=97', '17-14=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
94,
43,
37,
5
] | 70 | [
"94-43=51",
"51-37=14",
"5*14=70"
] | Current State: 70:[94, 43, 37, 5], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [37, 5, 51]
Generated Node #2: [37, 5, 51] from Operation: 94-43=51
Current State: 70:[37, 5, 51], Operations: ['94-43=51']
Exploring Operation: 51-37=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 51-37=14
Current State: 70:[5, 14], Operations: ['94-43=51', '51-37=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[94, 43, 37, 5], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [37, 5, 51]
Generated Node #0,0: 70:[37, 5, 51] Operation: 94-43=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[37, 5, 51], Operations: ['94-43=51']
Exploring Operation: 51-37=14, Resulting Numbers: [5, 14]
Generated Node #0,0,0: 70:[5, 14] Operation: 51-37=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[5, 14], Operations: ['94-43=51', '51-37=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[94, 43, 37, 5], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [37, 5, 51]
Generated Node #0,0: 70:[37, 5, 51] Operation: 94-43=51
Moving to Node #0,0
Current State: 70:[37, 5, 51], Operations: ['94-43=51']
Exploring Operation: 51-37=14, Resulting Numbers: [5, 14]
Generated Node #0,0,0: 70:[5, 14] Operation: 51-37=14
Moving to Node #0,0,0
Current State: 70:[5, 14], Operations: ['94-43=51', '51-37=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
95,
19,
13,
6
] | 73 | [
"95/19=5",
"13*6=78",
"78-5=73"
] | Current State: 73:[95, 19, 13, 6], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [13, 6, 5]
Generated Node #2: [13, 6, 5] from Operation: 95/19=5
Current State: 73:[13, 6, 5], Operations: ['95/19=5']
Exploring Operation: 13*6=78, Resulting Numbers: [5, 78]
Generated Node #3: [5, 78] from Operation: 13*6=78
Current State: 73:[5, 78], Operations: ['95/19=5', '13*6=78']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[95, 19, 13, 6], Operations: []
Exploring Operation: 19*6=114, Resulting Numbers: [95, 13, 114]
Generated Node #0,0: 73:[95, 13, 114] Operation: 19*6=114
Exploring Operation: 95-19=76, Resulting Numbers: [13, 6, 76]
Generated Node #0,1: 73:[13, 6, 76] Operation: 95-19=76
Exploring Operation: 13*6=78, Resulting Numbers: [95, 19, 78]
Generated Node #0,2: 73:[95, 19, 78] Operation: 13*6=78
Exploring Operation: 95-13=82, Resulting Numbers: [19, 6, 82]
Generated Node #0,3: 73:[19, 6, 82] Operation: 95-13=82
Moving to Node #0,2
Current State: 73:[95, 19, 78], Operations: ['13*6=78']
Exploring Operation: 78-19=59, Resulting Numbers: [95, 59]
Generated Node #0,2,0: 73:[95, 59] Operation: 78-19=59
Exploring Operation: 95+19=114, Resulting Numbers: [78, 114]
Generated Node #0,2,1: 73:[78, 114] Operation: 95+19=114
Exploring Operation: 19+78=97, Resulting Numbers: [95, 97]
Generated Node #0,2,2: 73:[95, 97] Operation: 19+78=97
Exploring Operation: 95-19=76, Resulting Numbers: [78, 76]
Generated Node #0,2,3: 73:[78, 76] Operation: 95-19=76
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[78, 76], Operations: ['13*6=78', '95-19=76']
Exploring Operation: 78+76=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 78*76=5928, Resulting Numbers: [5928]
5928,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[95, 59], Operations: ['13*6=78', '78-19=59']
Exploring Operation: 95*59=5605, Resulting Numbers: [5605]
5605,73 unequal: No Solution
Exploring Operation: 95-59=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 95+59=154, Resulting Numbers: [154]
154,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[78, 114], Operations: ['13*6=78', '95+19=114']
Exploring Operation: 78*114=8892, Resulting Numbers: [8892]
8892,73 unequal: No Solution
Exploring Operation: 78+114=192, Resulting Numbers: [192]
192,73 unequal: No Solution
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[95, 97], Operations: ['13*6=78', '19+78=97']
Exploring Operation: 97-95=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 95+97=192, Resulting Numbers: [192]
192,73 unequal: No Solution
Exploring Operation: 95*97=9215, Resulting Numbers: [9215]
9215,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 73:[95, 13, 114], Operations: ['19*6=114']
Exploring Operation: 95-13=82, Resulting Numbers: [114, 82]
Generated Node #0,0,0: 73:[114, 82] Operation: 95-13=82
Exploring Operation: 114-13=101, Resulting Numbers: [95, 101]
Generated Node #0,0,1: 73:[95, 101] Operation: 114-13=101
Exploring Operation: 95+13=108, Resulting Numbers: [114, 108]
Generated Node #0,0,2: 73:[114, 108] Operation: 95+13=108
Exploring Operation: 13+114=127, Resulting Numbers: [95, 127]
Generated Node #0,0,3: 73:[95, 127] Operation: 13+114=127
Moving to Node #0,3
Current State: 73:[19, 6, 82], Operations: ['95-13=82']
Exploring Operation: 19-6=13, Resulting Numbers: [82, 13]
Generated Node #0,3,0: 73:[82, 13] Operation: 19-6=13
Exploring Operation: 19*6=114, Resulting Numbers: [82, 114]
Generated Node #0,3,1: 73:[82, 114] Operation: 19*6=114
Exploring Operation: 82-6=76, Resulting Numbers: [19, 76]
Generated Node #0,3,2: 73:[19, 76] Operation: 82-6=76
Exploring Operation: 19+6=25, Resulting Numbers: [82, 25]
Generated Node #0,3,3: 73:[82, 25] Operation: 19+6=25
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[82, 114], Operations: ['95-13=82', '19*6=114']
Exploring Operation: 114-82=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 82+114=196, Resulting Numbers: [196]
196,73 unequal: No Solution
Exploring Operation: 82*114=9348, Resulting Numbers: [9348]
9348,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[19, 76], Operations: ['95-13=82', '82-6=76']
Exploring Operation: 19*76=1444, Resulting Numbers: [1444]
1444,73 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[82, 25], Operations: ['95-13=82', '19+6=25']
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 82*25=2050, Resulting Numbers: [2050]
2050,73 unequal: No Solution
Exploring Operation: 82+25=107, Resulting Numbers: [107]
107,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[82, 13], Operations: ['95-13=82', '19-6=13']
Exploring Operation: 82+13=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 82*13=1066, Resulting Numbers: [1066]
1066,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 73:[13, 6, 76], Operations: ['95-19=76']
Exploring Operation: 13+6=19, Resulting Numbers: [76, 19]
Generated Node #0,1,0: 73:[76, 19] Operation: 13+6=19
Exploring Operation: 76-6=70, Resulting Numbers: [13, 70]
Generated Node #0,1,1: 73:[13, 70] Operation: 76-6=70
Exploring Operation: 13*6=78, Resulting Numbers: [76, 78]
Generated Node #0,1,2: 73:[76, 78] Operation: 13*6=78
Exploring Operation: 13-6=7, Resulting Numbers: [76, 7]
Generated Node #0,1,3: 73:[76, 7] Operation: 13-6=7
Moving to Node #0,1,2
Current State: 73:[76, 78], Operations: ['95-19=76', '13*6=78']
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 76*78=5928, Resulting Numbers: [5928]
5928,73 unequal: No Solution
Exploring Operation: 76+78=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[114, 82], Operations: ['19*6=114', '95-13=82']
Exploring Operation: 114*82=9348, Resulting Numbers: [9348]
9348,73 unequal: No Solution
Exploring Operation: 114-82=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 114+82=196, Resulting Numbers: [196]
196,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[95, 101], Operations: ['19*6=114', '114-13=101']
Exploring Operation: 95*101=9595, Resulting Numbers: [9595]
9595,73 unequal: No Solution
Exploring Operation: 101-95=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 95+101=196, Resulting Numbers: [196]
196,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[76, 19], Operations: ['95-19=76', '13+6=19']
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 76*19=1444, Resulting Numbers: [1444]
1444,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[13, 70], Operations: ['95-19=76', '76-6=70']
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 13*70=910, Resulting Numbers: [910]
910,73 unequal: No Solution
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[76, 7], Operations: ['95-19=76', '13-6=7']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,73 unequal: No Solution
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[95, 127], Operations: ['19*6=114', '13+114=127']
Exploring Operation: 95*127=12065, Resulting Numbers: [12065]
12065,73 unequal: No Solution
Exploring Operation: 95+127=222, Resulting Numbers: [222]
222,73 unequal: No Solution
Exploring Operation: 127-95=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[114, 108], Operations: ['19*6=114', '95+13=108']
Exploring Operation: 114*108=12312, Resulting Numbers: [12312]
12312,73 unequal: No Solution
Exploring Operation: 114-108=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 114+108=222, Resulting Numbers: [222]
222,73 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
89,
24,
41,
97
] | 38 | [
"97-89=8",
"24/8=3",
"41-3=38"
] | Current State: 38:[89, 24, 41, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [24, 41, 8]
Generated Node #2: [24, 41, 8] from Operation: 97-89=8
Current State: 38:[24, 41, 8], Operations: ['97-89=8']
Exploring Operation: 24/8=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 24/8=3
Current State: 38:[41, 3], Operations: ['97-89=8', '24/8=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[89, 24, 41, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [24, 41, 8]
Generated Node #0,0: 38:[24, 41, 8] Operation: 97-89=8
Exploring Operation: 89-41=48, Resulting Numbers: [24, 97, 48]
Generated Node #0,1: 38:[24, 97, 48] Operation: 89-41=48
Exploring Operation: 89-24=65, Resulting Numbers: [41, 97, 65]
Generated Node #0,2: 38:[41, 97, 65] Operation: 89-24=65
Exploring Operation: 97-41=56, Resulting Numbers: [89, 24, 56]
Generated Node #0,3: 38:[89, 24, 56] Operation: 97-41=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[24, 41, 8], Operations: ['97-89=8']
Exploring Operation: 24+8=32, Resulting Numbers: [41, 32]
Generated Node #0,0,0: 38:[41, 32] Operation: 24+8=32
Exploring Operation: 24-8=16, Resulting Numbers: [41, 16]
Generated Node #0,0,1: 38:[41, 16] Operation: 24-8=16
Exploring Operation: 24/8=3, Resulting Numbers: [41, 3]
Generated Node #0,0,2: 38:[41, 3] Operation: 24/8=3
Exploring Operation: 41-24=17, Resulting Numbers: [8, 17]
Generated Node #0,0,3: 38:[8, 17] Operation: 41-24=17
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[41, 3], Operations: ['97-89=8', '24/8=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[89, 24, 41, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [24, 41, 8]
Generated Node #0,0: 38:[24, 41, 8] Operation: 97-89=8
Moving to Node #0,0
Current State: 38:[24, 41, 8], Operations: ['97-89=8']
Exploring Operation: 24/8=3, Resulting Numbers: [41, 3]
Generated Node #0,0,2: 38:[41, 3] Operation: 24/8=3
Moving to Node #0,0,2
Current State: 38:[41, 3], Operations: ['97-89=8', '24/8=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
78,
83,
13,
39
] | 38 | [
"78/13=6",
"83-39=44",
"44-6=38"
] | Current State: 38:[78, 83, 13, 39], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [83, 39, 6]
Generated Node #2: [83, 39, 6] from Operation: 78/13=6
Current State: 38:[83, 39, 6], Operations: ['78/13=6']
Exploring Operation: 83-39=44, Resulting Numbers: [6, 44]
Generated Node #3: [6, 44] from Operation: 83-39=44
Current State: 38:[6, 44], Operations: ['78/13=6', '83-39=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[78, 83, 13, 39], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [83, 39, 6]
Generated Node #0,0: 38:[83, 39, 6] Operation: 78/13=6
Exploring Operation: 83-78=5, Resulting Numbers: [13, 39, 5]
Generated Node #0,1: 38:[13, 39, 5] Operation: 83-78=5
Exploring Operation: 78-39=39, Resulting Numbers: [83, 13, 39]
Generated Node #0,2: 38:[83, 13, 39] Operation: 78-39=39
Exploring Operation: 78/39=2, Resulting Numbers: [83, 13, 2]
Generated Node #0,3: 38:[83, 13, 2] Operation: 78/39=2
Exploring Operation: 83-39=44, Resulting Numbers: [78, 13, 44]
Generated Node #0,4: 38:[78, 13, 44] Operation: 83-39=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[13, 39, 5], Operations: ['83-78=5']
Exploring Operation: 13-5=8, Resulting Numbers: [39, 8]
Generated Node #0,1,0: 38:[39, 8] Operation: 13-5=8
Exploring Operation: 39/13=3, Resulting Numbers: [5, 3]
Generated Node #0,1,1: 38:[5, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [5, 26]
Generated Node #0,1,2: 38:[5, 26] Operation: 39-13=26
Exploring Operation: 13+5=18, Resulting Numbers: [39, 18]
Generated Node #0,1,3: 38:[39, 18] Operation: 13+5=18
Exploring Operation: 39-5=34, Resulting Numbers: [13, 34]
Generated Node #0,1,4: 38:[13, 34] Operation: 39-5=34
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 38:[39, 18], Operations: ['83-78=5', '13+5=18']
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,38 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[5, 3], Operations: ['83-78=5', '39/13=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[39, 8], Operations: ['83-78=5', '13-5=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,38 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 38:[5, 26], Operations: ['83-78=5', '39-13=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,38 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 38:[13, 34], Operations: ['83-78=5', '39-5=34']
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 13*34=442, Resulting Numbers: [442]
442,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[83, 39, 6], Operations: ['78/13=6']
Exploring Operation: 39+6=45, Resulting Numbers: [83, 45]
Generated Node #0,0,0: 38:[83, 45] Operation: 39+6=45
Exploring Operation: 83-6=77, Resulting Numbers: [39, 77]
Generated Node #0,0,1: 38:[39, 77] Operation: 83-6=77
Exploring Operation: 83+6=89, Resulting Numbers: [39, 89]
Generated Node #0,0,2: 38:[39, 89] Operation: 83+6=89
Exploring Operation: 39-6=33, Resulting Numbers: [83, 33]
Generated Node #0,0,3: 38:[83, 33] Operation: 39-6=33
Exploring Operation: 83-39=44, Resulting Numbers: [6, 44]
Generated Node #0,0,4: 38:[6, 44] Operation: 83-39=44
Moving to Node #0,0,4
Current State: 38:[6, 44], Operations: ['78/13=6', '83-39=44']
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,38 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[78, 83, 13, 39], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [83, 39, 6]
Generated Node #0,0: 38:[83, 39, 6] Operation: 78/13=6
Moving to Node #0,0
Current State: 38:[83, 39, 6], Operations: ['78/13=6']
Exploring Operation: 83-39=44, Resulting Numbers: [6, 44]
Generated Node #0,0,4: 38:[6, 44] Operation: 83-39=44
Moving to Node #0,0,4
Current State: 38:[6, 44], Operations: ['78/13=6', '83-39=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
19,
43,
94,
43
] | 76 | [
"94-19=75",
"43/43=1",
"75+1=76"
] | Current State: 76:[19, 43, 94, 43], Operations: []
Exploring Operation: 94-19=75, Resulting Numbers: [43, 43, 75]
Generated Node #2: [43, 43, 75] from Operation: 94-19=75
Current State: 76:[43, 43, 75], Operations: ['94-19=75']
Exploring Operation: 43/43=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 43/43=1
Current State: 76:[75, 1], Operations: ['94-19=75', '43/43=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[19, 43, 94, 43], Operations: []
Exploring Operation: 94-19=75, Resulting Numbers: [43, 43, 75]
Generated Node #0,0: 76:[43, 43, 75] Operation: 94-19=75
Exploring Operation: 94-43=51, Resulting Numbers: [19, 43, 51]
Generated Node #0,1: 76:[19, 43, 51] Operation: 94-43=51
Exploring Operation: 94-43=51, Resulting Numbers: [19, 43, 51]
Generated Node #0,2: 76:[19, 43, 51] Operation: 94-43=51
Exploring Operation: 43/43=1, Resulting Numbers: [19, 94, 1]
Generated Node #0,3: 76:[19, 94, 1] Operation: 43/43=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[43, 43, 75], Operations: ['94-19=75']
Exploring Operation: 75-43=32, Resulting Numbers: [43, 32]
Generated Node #0,0,0: 76:[43, 32] Operation: 75-43=32
Exploring Operation: 43/43=1, Resulting Numbers: [75, 1]
Generated Node #0,0,1: 76:[75, 1] Operation: 43/43=1
Exploring Operation: 43+43=86, Resulting Numbers: [75, 86]
Generated Node #0,0,2: 76:[75, 86] Operation: 43+43=86
Exploring Operation: 43-43=0, Resulting Numbers: [75, 0]
Generated Node #0,0,3: 76:[75, 0] Operation: 43-43=0
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[75, 1], Operations: ['94-19=75', '43/43=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[19, 43, 94, 43], Operations: []
Exploring Operation: 94-19=75, Resulting Numbers: [43, 43, 75]
Generated Node #0,0: 76:[43, 43, 75] Operation: 94-19=75
Moving to Node #0,0
Current State: 76:[43, 43, 75], Operations: ['94-19=75']
Exploring Operation: 43/43=1, Resulting Numbers: [75, 1]
Generated Node #0,0,1: 76:[75, 1] Operation: 43/43=1
Moving to Node #0,0,1
Current State: 76:[75, 1], Operations: ['94-19=75', '43/43=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
30,
66,
15,
60
] | 51 | [
"30+66=96",
"60-15=45",
"96-45=51"
] | Current State: 51:[30, 66, 15, 60], Operations: []
Exploring Operation: 30+66=96, Resulting Numbers: [15, 60, 96]
Generated Node #2: [15, 60, 96] from Operation: 30+66=96
Current State: 51:[15, 60, 96], Operations: ['30+66=96']
Exploring Operation: 60-15=45, Resulting Numbers: [96, 45]
Generated Node #3: [96, 45] from Operation: 60-15=45
Current State: 51:[96, 45], Operations: ['30+66=96', '60-15=45']
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[30, 66, 15, 60], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [66, 15, 2]
Generated Node #0,0: 51:[66, 15, 2] Operation: 60/30=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[66, 15, 2], Operations: ['60/30=2']
Exploring Operation: 66-15=51, Resulting Numbers: [2, 51]
Generated Node #0,0,0: 51:[2, 51] Operation: 66-15=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[2, 51], Operations: ['60/30=2', '66-15=51']
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
35,
41,
90,
70
] | 85 | [
"41-35=6",
"90/6=15",
"70+15=85"
] | Current State: 85:[35, 41, 90, 70], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [90, 70, 6]
Generated Node #2: [90, 70, 6] from Operation: 41-35=6
Current State: 85:[90, 70, 6], Operations: ['41-35=6']
Exploring Operation: 90/6=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 90/6=15
Current State: 85:[70, 15], Operations: ['41-35=6', '90/6=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[35, 41, 90, 70], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [90, 70, 6]
Generated Node #0,0: 85:[90, 70, 6] Operation: 41-35=6
Exploring Operation: 70/35=2, Resulting Numbers: [41, 90, 2]
Generated Node #0,1: 85:[41, 90, 2] Operation: 70/35=2
Exploring Operation: 35+41=76, Resulting Numbers: [90, 70, 76]
Generated Node #0,2: 85:[90, 70, 76] Operation: 35+41=76
Moving to Node #0,0
Current State: 85:[90, 70, 6], Operations: ['41-35=6']
Exploring Operation: 90-70=20, Resulting Numbers: [6, 20]
Generated Node #0,0,0: 85:[6, 20] Operation: 90-70=20
Exploring Operation: 70+6=76, Resulting Numbers: [90, 76]
Generated Node #0,0,1: 85:[90, 76] Operation: 70+6=76
Exploring Operation: 90-6=84, Resulting Numbers: [70, 84]
Generated Node #0,0,2: 85:[70, 84] Operation: 90-6=84
Moving to Node #0,2
Current State: 85:[90, 70, 76], Operations: ['35+41=76']
Exploring Operation: 90-76=14, Resulting Numbers: [70, 14]
Generated Node #0,2,0: 85:[70, 14] Operation: 90-76=14
Exploring Operation: 90-70=20, Resulting Numbers: [76, 20]
Generated Node #0,2,1: 85:[76, 20] Operation: 90-70=20
Exploring Operation: 76-70=6, Resulting Numbers: [90, 6]
Generated Node #0,2,2: 85:[90, 6] Operation: 76-70=6
Moving to Node #0,1
Current State: 85:[41, 90, 2], Operations: ['70/35=2']
Exploring Operation: 41*2=82, Resulting Numbers: [90, 82]
Generated Node #0,1,0: 85:[90, 82] Operation: 41*2=82
Exploring Operation: 90-2=88, Resulting Numbers: [41, 88]
Generated Node #0,1,1: 85:[41, 88] Operation: 90-2=88
Exploring Operation: 41-2=39, Resulting Numbers: [90, 39]
Generated Node #0,1,2: 85:[90, 39] Operation: 41-2=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[90, 82], Operations: ['70/35=2', '41*2=82']
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 90+82=172, Resulting Numbers: [172]
172,85 unequal: No Solution
Exploring Operation: 90*82=7380, Resulting Numbers: [7380]
7380,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[41, 88], Operations: ['70/35=2', '90-2=88']
Exploring Operation: 41+88=129, Resulting Numbers: [129]
129,85 unequal: No Solution
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,85 unequal: No Solution
Exploring Operation: 41*88=3608, Resulting Numbers: [3608]
3608,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 85:[90, 39], Operations: ['70/35=2', '41-2=39']
Exploring Operation: 90+39=129, Resulting Numbers: [129]
129,85 unequal: No Solution
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,85 unequal: No Solution
Exploring Operation: 90*39=3510, Resulting Numbers: [3510]
3510,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 85:[6, 20], Operations: ['41-35=6', '90-70=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,85 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,85 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[90, 6], Operations: ['35+41=76', '76-70=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[76, 20], Operations: ['35+41=76', '90-70=20']
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,85 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,85 unequal: No Solution
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[90, 76], Operations: ['41-35=6', '70+6=76']
Exploring Operation: 90+76=166, Resulting Numbers: [166]
166,85 unequal: No Solution
Exploring Operation: 90*76=6840, Resulting Numbers: [6840]
6840,85 unequal: No Solution
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,85 unequal: No Solution
Moving to Node #0,0,2
Current State: 85:[70, 84], Operations: ['41-35=6', '90-6=84']
Exploring Operation: 84-70=14, Resulting Numbers: [14]
14,85 unequal: No Solution
Exploring Operation: 70*84=5880, Resulting Numbers: [5880]
5880,85 unequal: No Solution
Exploring Operation: 70+84=154, Resulting Numbers: [154]
154,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[70, 14], Operations: ['35+41=76', '90-76=14']
Exploring Operation: 70+14=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,85 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
72,
33,
37,
3
] | 73 | [
"72-33=39",
"37-3=34",
"39+34=73"
] | Current State: 73:[72, 33, 37, 3], Operations: []
Exploring Operation: 72-33=39, Resulting Numbers: [37, 3, 39]
Generated Node #2: [37, 3, 39] from Operation: 72-33=39
Current State: 73:[37, 3, 39], Operations: ['72-33=39']
Exploring Operation: 37-3=34, Resulting Numbers: [39, 34]
Generated Node #3: [39, 34] from Operation: 37-3=34
Current State: 73:[39, 34], Operations: ['72-33=39', '37-3=34']
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[72, 33, 37, 3], Operations: []
Exploring Operation: 33+37=70, Resulting Numbers: [72, 3, 70]
Generated Node #0,0: 73:[72, 3, 70] Operation: 33+37=70
Exploring Operation: 33*3=99, Resulting Numbers: [72, 37, 99]
Generated Node #0,1: 73:[72, 37, 99] Operation: 33*3=99
Exploring Operation: 33+3=36, Resulting Numbers: [72, 37, 36]
Generated Node #0,2: 73:[72, 37, 36] Operation: 33+3=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[72, 37, 99], Operations: ['33*3=99']
Exploring Operation: 72+37=109, Resulting Numbers: [99, 109]
Generated Node #0,1,0: 73:[99, 109] Operation: 72+37=109
Exploring Operation: 99-37=62, Resulting Numbers: [72, 62]
Generated Node #0,1,1: 73:[72, 62] Operation: 99-37=62
Exploring Operation: 72-37=35, Resulting Numbers: [99, 35]
Generated Node #0,1,2: 73:[99, 35] Operation: 72-37=35
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[72, 62], Operations: ['33*3=99', '99-37=62']
Exploring Operation: 72-62=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 72*62=4464, Resulting Numbers: [4464]
4464,73 unequal: No Solution
Exploring Operation: 72+62=134, Resulting Numbers: [134]
134,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[99, 109], Operations: ['33*3=99', '72+37=109']
Exploring Operation: 109-99=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 99+109=208, Resulting Numbers: [208]
208,73 unequal: No Solution
Exploring Operation: 99*109=10791, Resulting Numbers: [10791]
10791,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[99, 35], Operations: ['33*3=99', '72-37=35']
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 99+35=134, Resulting Numbers: [134]
134,73 unequal: No Solution
Exploring Operation: 99*35=3465, Resulting Numbers: [3465]
3465,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[72, 3, 70], Operations: ['33+37=70']
Exploring Operation: 72+3=75, Resulting Numbers: [70, 75]
Generated Node #0,0,0: 73:[70, 75] Operation: 72+3=75
Exploring Operation: 72-3=69, Resulting Numbers: [70, 69]
Generated Node #0,0,1: 73:[70, 69] Operation: 72-3=69
Exploring Operation: 3+70=73, Resulting Numbers: [72, 73]
Generated Node #0,0,2: 73:[72, 73] Operation: 3+70=73
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[72, 73], Operations: ['33+37=70', '3+70=73']
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 72+73=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Exploring Operation: 72*73=5256, Resulting Numbers: [5256]
5256,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[70, 75], Operations: ['33+37=70', '72+3=75']
Exploring Operation: 70+75=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 70*75=5250, Resulting Numbers: [5250]
5250,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[70, 69], Operations: ['33+37=70', '72-3=69']
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 70+69=139, Resulting Numbers: [139]
139,73 unequal: No Solution
Exploring Operation: 70*69=4830, Resulting Numbers: [4830]
4830,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[72, 37, 36], Operations: ['33+3=36']
Exploring Operation: 37+36=73, Resulting Numbers: [72, 73]
Generated Node #0,2,0: 73:[72, 73] Operation: 37+36=73
Exploring Operation: 72+36=108, Resulting Numbers: [37, 108]
Generated Node #0,2,1: 73:[37, 108] Operation: 72+36=108
Exploring Operation: 72+37=109, Resulting Numbers: [36, 109]
Generated Node #0,2,2: 73:[36, 109] Operation: 72+37=109
Moving to Node #0,2,0
Current State: 73:[72, 73], Operations: ['33+3=36', '37+36=73']
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 72*73=5256, Resulting Numbers: [5256]
5256,73 unequal: No Solution
Exploring Operation: 72+73=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[37, 108], Operations: ['33+3=36', '72+36=108']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,73 unequal: No Solution
Exploring Operation: 37*108=3996, Resulting Numbers: [3996]
3996,73 unequal: No Solution
Exploring Operation: 37+108=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[36, 109], Operations: ['33+3=36', '72+37=109']
Exploring Operation: 36+109=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Exploring Operation: 109-36=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[72, 33, 37, 3], Operations: []
Exploring Operation: 33+3=36, Resulting Numbers: [72, 37, 36]
Generated Node #0,2: 73:[72, 37, 36] Operation: 33+3=36
Moving to Node #0,2
Current State: 73:[72, 37, 36], Operations: ['33+3=36']
Exploring Operation: 72+37=109, Resulting Numbers: [36, 109]
Generated Node #0,2,2: 73:[36, 109] Operation: 72+37=109
Moving to Node #0,2,2
Current State: 73:[36, 109], Operations: ['33+3=36', '72+37=109']
Exploring Operation: 109-36=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_3 | mult_heuristic |
[
87,
52,
70,
52
] | 50 | [
"87-52=35",
"70/35=2",
"52-2=50"
] | Current State: 50:[87, 52, 70, 52], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [70, 35]
Generated Node #2: [70, 35] from Operation: 87-52=35
Current State: 50:[70, 35], Operations: ['87-52=35']
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,50 equal: Goal Reached
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[87, 52, 70, 52], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [52, 70, 35]
Generated Node #0,0: 50:[52, 70, 35] Operation: 87-52=35
Exploring Operation: 87-52=35, Resulting Numbers: [70, 52, 35]
Generated Node #0,1: 50:[70, 52, 35] Operation: 87-52=35
Exploring Operation: 87-70=17, Resulting Numbers: [52, 52, 17]
Generated Node #0,2: 50:[52, 52, 17] Operation: 87-70=17
Exploring Operation: 70-52=18, Resulting Numbers: [87, 52, 18]
Generated Node #0,3: 50:[87, 52, 18] Operation: 70-52=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[52, 52, 17], Operations: ['87-70=17']
Exploring Operation: 52-17=35, Resulting Numbers: [52, 35]
Generated Node #0,2,0: 50:[52, 35] Operation: 52-17=35
Exploring Operation: 52-52=0, Resulting Numbers: [17, 0]
Generated Node #0,2,1: 50:[17, 0] Operation: 52-52=0
Exploring Operation: 52-17=35, Resulting Numbers: [52, 35]
Generated Node #0,2,2: 50:[52, 35] Operation: 52-17=35
Exploring Operation: 52/52=1, Resulting Numbers: [17, 1]
Generated Node #0,2,3: 50:[17, 1] Operation: 52/52=1
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 50:[17, 1], Operations: ['87-70=17', '52/52=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 50:[17, 0], Operations: ['87-70=17', '52-52=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 17*0=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 50:[52, 35], Operations: ['87-70=17', '52-17=35']
Exploring Operation: 52*35=1820, Resulting Numbers: [1820]
1820,50 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 50:[52, 35], Operations: ['87-70=17', '52-17=35']
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,50 unequal: No Solution
Exploring Operation: 52*35=1820, Resulting Numbers: [1820]
1820,50 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[52, 70, 35], Operations: ['87-52=35']
Exploring Operation: 70-35=35, Resulting Numbers: [52, 35]
Generated Node #0,0,0: 50:[52, 35] Operation: 70-35=35
Exploring Operation: 52-35=17, Resulting Numbers: [70, 17]
Generated Node #0,0,1: 50:[70, 17] Operation: 52-35=17
Exploring Operation: 70-52=18, Resulting Numbers: [35, 18]
Generated Node #0,0,2: 50:[35, 18] Operation: 70-52=18
Exploring Operation: 70/35=2, Resulting Numbers: [52, 2]
Generated Node #0,0,3: 50:[52, 2] Operation: 70/35=2
Moving to Node #0,0,3
Current State: 50:[52, 2], Operations: ['87-52=35', '70/35=2']
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[87, 52, 70, 52], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [52, 70, 35]
Generated Node #0,0: 50:[52, 70, 35] Operation: 87-52=35
Moving to Node #0,0
Current State: 50:[52, 70, 35], Operations: ['87-52=35']
Exploring Operation: 70/35=2, Resulting Numbers: [52, 2]
Generated Node #0,0,3: 50:[52, 2] Operation: 70/35=2
Moving to Node #0,0,3
Current State: 50:[52, 2], Operations: ['87-52=35', '70/35=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
22,
20,
38,
17
] | 21 | [
"22+20=42",
"38-17=21",
"42-21=21"
] | Current State: 21:[22, 20, 38, 17], Operations: []
Exploring Operation: 22+20=42, Resulting Numbers: [38, 17, 42]
Generated Node #2: [38, 17, 42] from Operation: 22+20=42
Current State: 21:[38, 17, 42], Operations: ['22+20=42']
Exploring Operation: 38-17=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 38-17=21
Current State: 21:[42, 21], Operations: ['22+20=42', '38-17=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[22, 20, 38, 17], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [22, 17, 18]
Generated Node #0,0: 21:[22, 17, 18] Operation: 38-20=18
Exploring Operation: 38-17=21, Resulting Numbers: [22, 20, 21]
Generated Node #0,1: 21:[22, 20, 21] Operation: 38-17=21
Exploring Operation: 22-17=5, Resulting Numbers: [20, 38, 5]
Generated Node #0,2: 21:[20, 38, 5] Operation: 22-17=5
Exploring Operation: 38-22=16, Resulting Numbers: [20, 17, 16]
Generated Node #0,3: 21:[20, 17, 16] Operation: 38-22=16
Exploring Operation: 20-17=3, Resulting Numbers: [22, 38, 3]
Generated Node #0,4: 21:[22, 38, 3] Operation: 20-17=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[22, 20, 21], Operations: ['38-17=21']
Exploring Operation: 21-20=1, Resulting Numbers: [22, 1]
Generated Node #0,1,0: 21:[22, 1] Operation: 21-20=1
Exploring Operation: 22-21=1, Resulting Numbers: [20, 1]
Generated Node #0,1,1: 21:[20, 1] Operation: 22-21=1
Exploring Operation: 22+20=42, Resulting Numbers: [21, 42]
Generated Node #0,1,2: 21:[21, 42] Operation: 22+20=42
Exploring Operation: 20+21=41, Resulting Numbers: [22, 41]
Generated Node #0,1,3: 21:[22, 41] Operation: 20+21=41
Exploring Operation: 22-20=2, Resulting Numbers: [21, 2]
Generated Node #0,1,4: 21:[21, 2] Operation: 22-20=2
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 21:[21, 2], Operations: ['38-17=21', '22-20=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 21:[22, 1], Operations: ['38-17=21', '21-20=1']
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[22, 20, 38, 17], Operations: []
Exploring Operation: 38-17=21, Resulting Numbers: [22, 20, 21]
Generated Node #0,1: 21:[22, 20, 21] Operation: 38-17=21
Moving to Node #0,1
Current State: 21:[22, 20, 21], Operations: ['38-17=21']
Exploring Operation: 21-20=1, Resulting Numbers: [22, 1]
Generated Node #0,1,0: 21:[22, 1] Operation: 21-20=1
Moving to Node #0,1,0
Current State: 21:[22, 1], Operations: ['38-17=21', '21-20=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
63,
72,
2,
15
] | 75 | [
"63+72=135",
"15+135=150",
"150/2=75"
] | Current State: 75:[63, 72, 2, 15], Operations: []
Exploring Operation: 63+72=135, Resulting Numbers: [2, 15, 135]
Generated Node #2: [2, 15, 135] from Operation: 63+72=135
Current State: 75:[2, 15, 135], Operations: ['63+72=135']
Exploring Operation: 15+135=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 15+135=150
Current State: 75:[2, 150], Operations: ['63+72=135', '15+135=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[63, 72, 2, 15], Operations: []
Exploring Operation: 63+2=65, Resulting Numbers: [72, 15, 65]
Generated Node #0,0: 75:[72, 15, 65] Operation: 63+2=65
Exploring Operation: 72+2=74, Resulting Numbers: [63, 15, 74]
Generated Node #0,1: 75:[63, 15, 74] Operation: 72+2=74
Exploring Operation: 63+15=78, Resulting Numbers: [72, 2, 78]
Generated Node #0,2: 75:[72, 2, 78] Operation: 63+15=78
Exploring Operation: 72-63=9, Resulting Numbers: [2, 15, 9]
Generated Node #0,3: 75:[2, 15, 9] Operation: 72-63=9
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[2, 15, 9], Operations: ['72-63=9']
Exploring Operation: 15+9=24, Resulting Numbers: [2, 24]
Generated Node #0,3,0: 75:[2, 24] Operation: 15+9=24
Exploring Operation: 2*9=18, Resulting Numbers: [15, 18]
Generated Node #0,3,1: 75:[15, 18] Operation: 2*9=18
Exploring Operation: 15-9=6, Resulting Numbers: [2, 6]
Generated Node #0,3,2: 75:[2, 6] Operation: 15-9=6
Exploring Operation: 9-2=7, Resulting Numbers: [15, 7]
Generated Node #0,3,3: 75:[15, 7] Operation: 9-2=7
Moving to Node #0,3,0
Current State: 75:[2, 24], Operations: ['72-63=9', '15+9=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[15, 7], Operations: ['72-63=9', '9-2=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[2, 6], Operations: ['72-63=9', '15-9=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[15, 18], Operations: ['72-63=9', '2*9=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 15*18=270, Resulting Numbers: [270]
270,75 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[72, 2, 78], Operations: ['63+15=78']
Exploring Operation: 78-2=76, Resulting Numbers: [72, 76]
Generated Node #0,2,0: 75:[72, 76] Operation: 78-2=76
Exploring Operation: 72-2=70, Resulting Numbers: [78, 70]
Generated Node #0,2,1: 75:[78, 70] Operation: 72-2=70
Exploring Operation: 72+2=74, Resulting Numbers: [78, 74]
Generated Node #0,2,2: 75:[78, 74] Operation: 72+2=74
Exploring Operation: 78-72=6, Resulting Numbers: [2, 6]
Generated Node #0,2,3: 75:[2, 6] Operation: 78-72=6
Moving to Node #0,2,3
Current State: 75:[2, 6], Operations: ['63+15=78', '78-72=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[78, 74], Operations: ['63+15=78', '72+2=74']
Exploring Operation: 78+74=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 78*74=5772, Resulting Numbers: [5772]
5772,75 unequal: No Solution
Exploring Operation: 78-74=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[72, 76], Operations: ['63+15=78', '78-2=76']
Exploring Operation: 72*76=5472, Resulting Numbers: [5472]
5472,75 unequal: No Solution
Exploring Operation: 72+76=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 76-72=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[78, 70], Operations: ['63+15=78', '72-2=70']
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 78+70=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 78*70=5460, Resulting Numbers: [5460]
5460,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[72, 15, 65], Operations: ['63+2=65']
Exploring Operation: 72+15=87, Resulting Numbers: [65, 87]
Generated Node #0,0,0: 75:[65, 87] Operation: 72+15=87
Exploring Operation: 72-65=7, Resulting Numbers: [15, 7]
Generated Node #0,0,1: 75:[15, 7] Operation: 72-65=7
Exploring Operation: 15+65=80, Resulting Numbers: [72, 80]
Generated Node #0,0,2: 75:[72, 80] Operation: 15+65=80
Exploring Operation: 72-15=57, Resulting Numbers: [65, 57]
Generated Node #0,0,3: 75:[65, 57] Operation: 72-15=57
Moving to Node #0,0,1
Current State: 75:[15, 7], Operations: ['63+2=65', '72-65=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[72, 80], Operations: ['63+2=65', '15+65=80']
Exploring Operation: 72*80=5760, Resulting Numbers: [5760]
5760,75 unequal: No Solution
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[65, 87], Operations: ['63+2=65', '72+15=87']
Exploring Operation: 65*87=5655, Resulting Numbers: [5655]
5655,75 unequal: No Solution
Exploring Operation: 87-65=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 65+87=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[65, 57], Operations: ['63+2=65', '72-15=57']
Exploring Operation: 65*57=3705, Resulting Numbers: [3705]
3705,75 unequal: No Solution
Exploring Operation: 65-57=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 65+57=122, Resulting Numbers: [122]
122,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[63, 15, 74], Operations: ['72+2=74']
Exploring Operation: 63+15=78, Resulting Numbers: [74, 78]
Generated Node #0,1,0: 75:[74, 78] Operation: 63+15=78
Exploring Operation: 63-15=48, Resulting Numbers: [74, 48]
Generated Node #0,1,1: 75:[74, 48] Operation: 63-15=48
Exploring Operation: 15+74=89, Resulting Numbers: [63, 89]
Generated Node #0,1,2: 75:[63, 89] Operation: 15+74=89
Exploring Operation: 74-63=11, Resulting Numbers: [15, 11]
Generated Node #0,1,3: 75:[15, 11] Operation: 74-63=11
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[74, 78], Operations: ['72+2=74', '63+15=78']
Exploring Operation: 74*78=5772, Resulting Numbers: [5772]
5772,75 unequal: No Solution
Exploring Operation: 74+78=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 78-74=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 75:[15, 11], Operations: ['72+2=74', '74-63=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[74, 48], Operations: ['72+2=74', '63-15=48']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,75 unequal: No Solution
Exploring Operation: 74*48=3552, Resulting Numbers: [3552]
3552,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[63, 89], Operations: ['72+2=74', '15+74=89']
Exploring Operation: 63*89=5607, Resulting Numbers: [5607]
5607,75 unequal: No Solution
Exploring Operation: 89-63=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 63+89=152, Resulting Numbers: [152]
152,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
48,
3,
85,
6
] | 74 | [
"85-48=37",
"6/3=2",
"37*2=74"
] | Current State: 74:[48, 3, 85, 6], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [3, 6, 37]
Generated Node #2: [3, 6, 37] from Operation: 85-48=37
Current State: 74:[3, 6, 37], Operations: ['85-48=37']
Exploring Operation: 6/3=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 6/3=2
Current State: 74:[37, 2], Operations: ['85-48=37', '6/3=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[48, 3, 85, 6], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [3, 6, 37]
Generated Node #0,0: 74:[3, 6, 37] Operation: 85-48=37
Moving to Node #0,0
Current State: 74:[3, 6, 37], Operations: ['85-48=37']
Exploring Operation: 6/3=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 74:[37, 2] Operation: 6/3=2
Moving to Node #0,0,0
Current State: 74:[37, 2], Operations: ['85-48=37', '6/3=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[48, 3, 85, 6], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [3, 6, 37]
Generated Node #0,0: 74:[3, 6, 37] Operation: 85-48=37
Moving to Node #0,0
Current State: 74:[3, 6, 37], Operations: ['85-48=37']
Exploring Operation: 6/3=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 74:[37, 2] Operation: 6/3=2
Moving to Node #0,0,0
Current State: 74:[37, 2], Operations: ['85-48=37', '6/3=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
5,
68,
71,
44
] | 90 | [
"68-5=63",
"71-44=27",
"63+27=90"
] | Current State: 90:[5, 68, 71, 44], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [71, 44, 63]
Generated Node #2: [71, 44, 63] from Operation: 68-5=63
Current State: 90:[71, 44, 63], Operations: ['68-5=63']
Exploring Operation: 71-44=27, Resulting Numbers: [63, 27]
Generated Node #3: [63, 27] from Operation: 71-44=27
Current State: 90:[63, 27], Operations: ['68-5=63', '71-44=27']
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[5, 68, 71, 44], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [5, 44, 3]
Generated Node #0,0: 90:[5, 44, 3] Operation: 71-68=3
Exploring Operation: 68-44=24, Resulting Numbers: [5, 71, 24]
Generated Node #0,1: 90:[5, 71, 24] Operation: 68-44=24
Exploring Operation: 5+68=73, Resulting Numbers: [71, 44, 73]
Generated Node #0,2: 90:[71, 44, 73] Operation: 5+68=73
Exploring Operation: 71-44=27, Resulting Numbers: [5, 68, 27]
Generated Node #0,3: 90:[5, 68, 27] Operation: 71-44=27
Moving to Node #0,0
Current State: 90:[5, 44, 3], Operations: ['71-68=3']
Exploring Operation: 5+3=8, Resulting Numbers: [44, 8]
Generated Node #0,0,0: 90:[44, 8] Operation: 5+3=8
Exploring Operation: 5*3=15, Resulting Numbers: [44, 15]
Generated Node #0,0,1: 90:[44, 15] Operation: 5*3=15
Exploring Operation: 44+3=47, Resulting Numbers: [5, 47]
Generated Node #0,0,2: 90:[5, 47] Operation: 44+3=47
Exploring Operation: 5-3=2, Resulting Numbers: [44, 2]
Generated Node #0,0,3: 90:[44, 2] Operation: 5-3=2
Moving to Node #0,3
Current State: 90:[5, 68, 27], Operations: ['71-44=27']
Exploring Operation: 68+27=95, Resulting Numbers: [5, 95]
Generated Node #0,3,0: 90:[5, 95] Operation: 68+27=95
Exploring Operation: 68-5=63, Resulting Numbers: [27, 63]
Generated Node #0,3,1: 90:[27, 63] Operation: 68-5=63
Exploring Operation: 68-27=41, Resulting Numbers: [5, 41]
Generated Node #0,3,2: 90:[5, 41] Operation: 68-27=41
Exploring Operation: 5+68=73, Resulting Numbers: [27, 73]
Generated Node #0,3,3: 90:[27, 73] Operation: 5+68=73
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 90:[5, 41], Operations: ['71-44=27', '68-27=41']
Exploring Operation: 5*41=205, Resulting Numbers: [205]
205,90 unequal: No Solution
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 90:[5, 95], Operations: ['71-44=27', '68+27=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[5, 68, 71, 44], Operations: []
Exploring Operation: 71-44=27, Resulting Numbers: [5, 68, 27]
Generated Node #0,3: 90:[5, 68, 27] Operation: 71-44=27
Moving to Node #0,3
Current State: 90:[5, 68, 27], Operations: ['71-44=27']
Exploring Operation: 68+27=95, Resulting Numbers: [5, 95]
Generated Node #0,3,0: 90:[5, 95] Operation: 68+27=95
Moving to Node #0,3,0
Current State: 90:[5, 95], Operations: ['71-44=27', '68+27=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
33,
86,
24,
5
] | 72 | [
"86-33=53",
"24-5=19",
"53+19=72"
] | Current State: 72:[33, 86, 24, 5], Operations: []
Exploring Operation: 86-33=53, Resulting Numbers: [24, 5, 53]
Generated Node #2: [24, 5, 53] from Operation: 86-33=53
Current State: 72:[24, 5, 53], Operations: ['86-33=53']
Exploring Operation: 24-5=19, Resulting Numbers: [53, 19]
Generated Node #3: [53, 19] from Operation: 24-5=19
Current State: 72:[53, 19], Operations: ['86-33=53', '24-5=19']
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[33, 86, 24, 5], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [33, 24, 81]
Generated Node #0,0: 72:[33, 24, 81] Operation: 86-5=81
Moving to Node #0,0
Current State: 72:[33, 24, 81], Operations: ['86-5=81']
Exploring Operation: 33-24=9, Resulting Numbers: [81, 9]
Generated Node #0,0,0: 72:[81, 9] Operation: 33-24=9
Moving to Node #0,0,0
Current State: 72:[81, 9], Operations: ['86-5=81', '33-24=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[33, 86, 24, 5], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [33, 24, 81]
Generated Node #0,0: 72:[33, 24, 81] Operation: 86-5=81
Moving to Node #0,0
Current State: 72:[33, 24, 81], Operations: ['86-5=81']
Exploring Operation: 33-24=9, Resulting Numbers: [81, 9]
Generated Node #0,0,0: 72:[81, 9] Operation: 33-24=9
Moving to Node #0,0,0
Current State: 72:[81, 9], Operations: ['86-5=81', '33-24=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
29,
5,
38,
56
] | 61 | [
"56-38=18",
"5*18=90",
"90-29=61"
] | Current State: 61:[29, 5, 38, 56], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [29, 5, 18]
Generated Node #2: [29, 5, 18] from Operation: 56-38=18
Current State: 61:[29, 5, 18], Operations: ['56-38=18']
Exploring Operation: 5*18=90, Resulting Numbers: [29, 90]
Generated Node #3: [29, 90] from Operation: 5*18=90
Current State: 61:[29, 90], Operations: ['56-38=18', '5*18=90']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[29, 5, 38, 56], Operations: []
Exploring Operation: 5+38=43, Resulting Numbers: [29, 56, 43]
Generated Node #0,0: 61:[29, 56, 43] Operation: 5+38=43
Exploring Operation: 29+5=34, Resulting Numbers: [38, 56, 34]
Generated Node #0,1: 61:[38, 56, 34] Operation: 29+5=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[29, 56, 43], Operations: ['5+38=43']
Exploring Operation: 29+43=72, Resulting Numbers: [56, 72]
Generated Node #0,0,0: 61:[56, 72] Operation: 29+43=72
Exploring Operation: 29+56=85, Resulting Numbers: [43, 85]
Generated Node #0,0,1: 61:[43, 85] Operation: 29+56=85
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[56, 72], Operations: ['5+38=43', '29+43=72']
Exploring Operation: 56+72=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[43, 85], Operations: ['5+38=43', '29+56=85']
Exploring Operation: 85-43=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 43+85=128, Resulting Numbers: [128]
128,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[38, 56, 34], Operations: ['29+5=34']
Exploring Operation: 56+34=90, Resulting Numbers: [38, 90]
Generated Node #0,1,0: 61:[38, 90] Operation: 56+34=90
Exploring Operation: 38+34=72, Resulting Numbers: [56, 72]
Generated Node #0,1,1: 61:[56, 72] Operation: 38+34=72
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[56, 72], Operations: ['29+5=34', '38+34=72']
Exploring Operation: 56+72=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[38, 90], Operations: ['29+5=34', '56+34=90']
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,61 unequal: No Solution
Exploring Operation: 38+90=128, Resulting Numbers: [128]
128,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
18,
44,
21,
44
] | 38 | [
"18+21=39",
"44/44=1",
"39-1=38"
] | Current State: 38:[18, 44, 21, 44], Operations: []
Exploring Operation: 18+21=39, Resulting Numbers: [44, 44, 39]
Generated Node #2: [44, 44, 39] from Operation: 18+21=39
Current State: 38:[44, 44, 39], Operations: ['18+21=39']
Exploring Operation: 44/44=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 44/44=1
Current State: 38:[39, 1], Operations: ['18+21=39', '44/44=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[18, 44, 21, 44], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [18, 21, 1]
Generated Node #0,0: 38:[18, 21, 1] Operation: 44/44=1
Moving to Node #0,0
Current State: 38:[18, 21, 1], Operations: ['44/44=1']
Exploring Operation: 18+21=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 38:[1, 39] Operation: 18+21=39
Moving to Node #0,0,0
Current State: 38:[1, 39], Operations: ['44/44=1', '18+21=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[18, 44, 21, 44], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [18, 21, 1]
Generated Node #0,0: 38:[18, 21, 1] Operation: 44/44=1
Moving to Node #0,0
Current State: 38:[18, 21, 1], Operations: ['44/44=1']
Exploring Operation: 18+21=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 38:[1, 39] Operation: 18+21=39
Moving to Node #0,0,0
Current State: 38:[1, 39], Operations: ['44/44=1', '18+21=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
36,
12,
2,
55
] | 61 | [
"36/12=3",
"2*3=6",
"55+6=61"
] | Current State: 61:[36, 12, 2, 55], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [2, 55, 3]
Generated Node #2: [2, 55, 3] from Operation: 36/12=3
Current State: 61:[2, 55, 3], Operations: ['36/12=3']
Exploring Operation: 2*3=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 2*3=6
Current State: 61:[55, 6], Operations: ['36/12=3', '2*3=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[36, 12, 2, 55], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [12, 55, 72]
Generated Node #0,0: 61:[12, 55, 72] Operation: 36*2=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[12, 55, 72], Operations: ['36*2=72']
Exploring Operation: 72-12=60, Resulting Numbers: [55, 60]
Generated Node #0,0,0: 61:[55, 60] Operation: 72-12=60
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[55, 60], Operations: ['36*2=72', '72-12=60']
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
1,
59,
68
] | 46 | [
"56-1=55",
"68-59=9",
"55-9=46"
] | Current State: 46:[56, 1, 59, 68], Operations: []
Exploring Operation: 56-1=55, Resulting Numbers: [59, 68, 55]
Generated Node #2: [59, 68, 55] from Operation: 56-1=55
Current State: 46:[59, 68, 55], Operations: ['56-1=55']
Exploring Operation: 68-59=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 68-59=9
Current State: 46:[55, 9], Operations: ['56-1=55', '68-59=9']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[56, 1, 59, 68], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [56, 1, 9]
Generated Node #0,0: 46:[56, 1, 9] Operation: 68-59=9
Exploring Operation: 68-56=12, Resulting Numbers: [1, 59, 12]
Generated Node #0,1: 46:[1, 59, 12] Operation: 68-56=12
Exploring Operation: 59-56=3, Resulting Numbers: [1, 68, 3]
Generated Node #0,2: 46:[1, 68, 3] Operation: 59-56=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[56, 1, 9], Operations: ['68-59=9']
Exploring Operation: 9-1=8, Resulting Numbers: [56, 8]
Generated Node #0,0,0: 46:[56, 8] Operation: 9-1=8
Exploring Operation: 56-9=47, Resulting Numbers: [1, 47]
Generated Node #0,0,1: 46:[1, 47] Operation: 56-9=47
Exploring Operation: 56-1=55, Resulting Numbers: [9, 55]
Generated Node #0,0,2: 46:[9, 55] Operation: 56-1=55
Moving to Node #0,0,1
Current State: 46:[1, 47], Operations: ['68-59=9', '56-9=47']
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[56, 1, 59, 68], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [56, 1, 9]
Generated Node #0,0: 46:[56, 1, 9] Operation: 68-59=9
Moving to Node #0,0
Current State: 46:[56, 1, 9], Operations: ['68-59=9']
Exploring Operation: 56-9=47, Resulting Numbers: [1, 47]
Generated Node #0,0,1: 46:[1, 47] Operation: 56-9=47
Moving to Node #0,0,1
Current State: 46:[1, 47], Operations: ['68-59=9', '56-9=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
79,
96,
81,
49
] | 97 | [
"81-79=2",
"96/2=48",
"49+48=97"
] | Current State: 97:[79, 96, 81, 49], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [96, 49, 2]
Generated Node #2: [96, 49, 2] from Operation: 81-79=2
Current State: 97:[96, 49, 2], Operations: ['81-79=2']
Exploring Operation: 96/2=48, Resulting Numbers: [49, 48]
Generated Node #3: [49, 48] from Operation: 96/2=48
Current State: 97:[49, 48], Operations: ['81-79=2', '96/2=48']
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[79, 96, 81, 49], Operations: []
Exploring Operation: 81+49=130, Resulting Numbers: [79, 96, 130]
Generated Node #0,0: 97:[79, 96, 130] Operation: 81+49=130
Exploring Operation: 79+49=128, Resulting Numbers: [96, 81, 128]
Generated Node #0,1: 97:[96, 81, 128] Operation: 79+49=128
Exploring Operation: 96-49=47, Resulting Numbers: [79, 81, 47]
Generated Node #0,2: 97:[79, 81, 47] Operation: 96-49=47
Exploring Operation: 79-49=30, Resulting Numbers: [96, 81, 30]
Generated Node #0,3: 97:[96, 81, 30] Operation: 79-49=30
Exploring Operation: 96+49=145, Resulting Numbers: [79, 81, 145]
Generated Node #0,4: 97:[79, 81, 145] Operation: 96+49=145
Moving to Node #0,1
Current State: 97:[96, 81, 128], Operations: ['79+49=128']
Exploring Operation: 96-81=15, Resulting Numbers: [128, 15]
Generated Node #0,1,0: 97:[128, 15] Operation: 96-81=15
Exploring Operation: 81+128=209, Resulting Numbers: [96, 209]
Generated Node #0,1,1: 97:[96, 209] Operation: 81+128=209
Exploring Operation: 128-96=32, Resulting Numbers: [81, 32]
Generated Node #0,1,2: 97:[81, 32] Operation: 128-96=32
Exploring Operation: 96+81=177, Resulting Numbers: [128, 177]
Generated Node #0,1,3: 97:[128, 177] Operation: 96+81=177
Exploring Operation: 128-81=47, Resulting Numbers: [96, 47]
Generated Node #0,1,4: 97:[96, 47] Operation: 128-81=47
Moving to Node #0,0
Current State: 97:[79, 96, 130], Operations: ['81+49=130']
Exploring Operation: 79+96=175, Resulting Numbers: [130, 175]
Generated Node #0,0,0: 97:[130, 175] Operation: 79+96=175
Exploring Operation: 130-79=51, Resulting Numbers: [96, 51]
Generated Node #0,0,1: 97:[96, 51] Operation: 130-79=51
Exploring Operation: 79+130=209, Resulting Numbers: [96, 209]
Generated Node #0,0,2: 97:[96, 209] Operation: 79+130=209
Exploring Operation: 96-79=17, Resulting Numbers: [130, 17]
Generated Node #0,0,3: 97:[130, 17] Operation: 96-79=17
Exploring Operation: 130-96=34, Resulting Numbers: [79, 34]
Generated Node #0,0,4: 97:[79, 34] Operation: 130-96=34
Moving to Node #0,4
Current State: 97:[79, 81, 145], Operations: ['96+49=145']
Exploring Operation: 81-79=2, Resulting Numbers: [145, 2]
Generated Node #0,4,0: 97:[145, 2] Operation: 81-79=2
Exploring Operation: 145-79=66, Resulting Numbers: [81, 66]
Generated Node #0,4,1: 97:[81, 66] Operation: 145-79=66
Exploring Operation: 145-81=64, Resulting Numbers: [79, 64]
Generated Node #0,4,2: 97:[79, 64] Operation: 145-81=64
Exploring Operation: 79+81=160, Resulting Numbers: [145, 160]
Generated Node #0,4,3: 97:[145, 160] Operation: 79+81=160
Exploring Operation: 79+145=224, Resulting Numbers: [81, 224]
Generated Node #0,4,4: 97:[81, 224] Operation: 79+145=224
Moving to Node #0,2
Current State: 97:[79, 81, 47], Operations: ['96-49=47']
Exploring Operation: 79+81=160, Resulting Numbers: [47, 160]
Generated Node #0,2,0: 97:[47, 160] Operation: 79+81=160
Exploring Operation: 79+47=126, Resulting Numbers: [81, 126]
Generated Node #0,2,1: 97:[81, 126] Operation: 79+47=126
Exploring Operation: 81-47=34, Resulting Numbers: [79, 34]
Generated Node #0,2,2: 97:[79, 34] Operation: 81-47=34
Exploring Operation: 81+47=128, Resulting Numbers: [79, 128]
Generated Node #0,2,3: 97:[79, 128] Operation: 81+47=128
Exploring Operation: 79-47=32, Resulting Numbers: [81, 32]
Generated Node #0,2,4: 97:[81, 32] Operation: 79-47=32
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[81, 126], Operations: ['96-49=47', '79+47=126']
Exploring Operation: 81*126=10206, Resulting Numbers: [10206]
10206,97 unequal: No Solution
Exploring Operation: 126-81=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 81+126=207, Resulting Numbers: [207]
207,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[79, 128], Operations: ['96-49=47', '81+47=128']
Exploring Operation: 128-79=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 79*128=10112, Resulting Numbers: [10112]
10112,97 unequal: No Solution
Exploring Operation: 79+128=207, Resulting Numbers: [207]
207,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[79, 34], Operations: ['96-49=47', '81-47=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 97:[81, 32], Operations: ['96-49=47', '79-47=32']
Exploring Operation: 81+32=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 81*32=2592, Resulting Numbers: [2592]
2592,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[47, 160], Operations: ['96-49=47', '79+81=160']
Exploring Operation: 47*160=7520, Resulting Numbers: [7520]
7520,97 unequal: No Solution
Exploring Operation: 47+160=207, Resulting Numbers: [207]
207,97 unequal: No Solution
Exploring Operation: 160-47=113, Resulting Numbers: [113]
113,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 97:[96, 81, 30], Operations: ['79-49=30']
Exploring Operation: 81+30=111, Resulting Numbers: [96, 111]
Generated Node #0,3,0: 97:[96, 111] Operation: 81+30=111
Exploring Operation: 96-30=66, Resulting Numbers: [81, 66]
Generated Node #0,3,1: 97:[81, 66] Operation: 96-30=66
Exploring Operation: 96+30=126, Resulting Numbers: [81, 126]
Generated Node #0,3,2: 97:[81, 126] Operation: 96+30=126
Exploring Operation: 96+81=177, Resulting Numbers: [30, 177]
Generated Node #0,3,3: 97:[30, 177] Operation: 96+81=177
Exploring Operation: 81-30=51, Resulting Numbers: [96, 51]
Generated Node #0,3,4: 97:[96, 51] Operation: 81-30=51
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[96, 111], Operations: ['79-49=30', '81+30=111']
Exploring Operation: 96+111=207, Resulting Numbers: [207]
207,97 unequal: No Solution
Exploring Operation: 111-96=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 96*111=10656, Resulting Numbers: [10656]
10656,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[81, 126], Operations: ['79-49=30', '96+30=126']
Exploring Operation: 126-81=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 81*126=10206, Resulting Numbers: [10206]
10206,97 unequal: No Solution
Exploring Operation: 81+126=207, Resulting Numbers: [207]
207,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[81, 66], Operations: ['79-49=30', '96-30=66']
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 81*66=5346, Resulting Numbers: [5346]
5346,97 unequal: No Solution
Exploring Operation: 81+66=147, Resulting Numbers: [147]
147,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 97:[96, 51], Operations: ['79-49=30', '81-30=51']
Exploring Operation: 96+51=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 96*51=4896, Resulting Numbers: [4896]
4896,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[30, 177], Operations: ['79-49=30', '96+81=177']
Exploring Operation: 30*177=5310, Resulting Numbers: [5310]
5310,97 unequal: No Solution
Exploring Operation: 30+177=207, Resulting Numbers: [207]
207,97 unequal: No Solution
Exploring Operation: 177-30=147, Resulting Numbers: [147]
147,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 97:[96, 51], Operations: ['81+49=130', '130-79=51']
Exploring Operation: 96*51=4896, Resulting Numbers: [4896]
4896,97 unequal: No Solution
Exploring Operation: 96+51=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Moving to Node #0,4,1
Current State: 97:[81, 66], Operations: ['96+49=145', '145-79=66']
Exploring Operation: 81+66=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 81*66=5346, Resulting Numbers: [5346]
5346,97 unequal: No Solution
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Moving to Node #0,1,4
Current State: 97:[96, 47], Operations: ['79+49=128', '128-81=47']
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 96*47=4512, Resulting Numbers: [4512]
4512,97 unequal: No Solution
Exploring Operation: 96+47=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[79, 64], Operations: ['96+49=145', '145-81=64']
Exploring Operation: 79+64=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 79*64=5056, Resulting Numbers: [5056]
5056,97 unequal: No Solution
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Moving to Node #0,0,4
Current State: 97:[79, 34], Operations: ['81+49=130', '130-96=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,97 unequal: No Solution
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[81, 32], Operations: ['79+49=128', '128-96=32']
Exploring Operation: 81+32=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 81*32=2592, Resulting Numbers: [2592]
2592,97 unequal: No Solution
Moving to Node #0,4,3
Current State: 97:[145, 160], Operations: ['96+49=145', '79+81=160']
Exploring Operation: 145+160=305, Resulting Numbers: [305]
305,97 unequal: No Solution
Exploring Operation: 160-145=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 145*160=23200, Resulting Numbers: [23200]
23200,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[128, 177], Operations: ['79+49=128', '96+81=177']
Exploring Operation: 177-128=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 128+177=305, Resulting Numbers: [305]
305,97 unequal: No Solution
Exploring Operation: 128*177=22656, Resulting Numbers: [22656]
22656,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[130, 175], Operations: ['81+49=130', '79+96=175']
Exploring Operation: 130+175=305, Resulting Numbers: [305]
305,97 unequal: No Solution
Exploring Operation: 130*175=22750, Resulting Numbers: [22750]
22750,97 unequal: No Solution
Exploring Operation: 175-130=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[130, 17], Operations: ['81+49=130', '96-79=17']
Exploring Operation: 130+17=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 130-17=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 130*17=2210, Resulting Numbers: [2210]
2210,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[96, 209], Operations: ['79+49=128', '81+128=209']
Exploring Operation: 96*209=20064, Resulting Numbers: [20064]
20064,97 unequal: No Solution
Exploring Operation: 209-96=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 96+209=305, Resulting Numbers: [305]
305,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[128, 15], Operations: ['79+49=128', '96-81=15']
Exploring Operation: 128+15=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 128*15=1920, Resulting Numbers: [1920]
1920,97 unequal: No Solution
Exploring Operation: 128-15=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[96, 209], Operations: ['81+49=130', '79+130=209']
Exploring Operation: 96*209=20064, Resulting Numbers: [20064]
20064,97 unequal: No Solution
Exploring Operation: 96+209=305, Resulting Numbers: [305]
305,97 unequal: No Solution
Exploring Operation: 209-96=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[145, 2], Operations: ['96+49=145', '81-79=2']
Exploring Operation: 145*2=290, Resulting Numbers: [290]
290,97 unequal: No Solution
Exploring Operation: 145+2=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 145-2=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[81, 224], Operations: ['96+49=145', '79+145=224']
Exploring Operation: 224-81=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 81*224=18144, Resulting Numbers: [18144]
18144,97 unequal: No Solution
Exploring Operation: 81+224=305, Resulting Numbers: [305]
305,97 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
52,
58,
82,
30
] | 58 | [
"52+58=110",
"82-30=52",
"110-52=58"
] | Current State: 58:[52, 58, 82, 30], Operations: []
Exploring Operation: 52+58=110, Resulting Numbers: [82, 30, 110]
Generated Node #2: [82, 30, 110] from Operation: 52+58=110
Current State: 58:[82, 30, 110], Operations: ['52+58=110']
Exploring Operation: 82-30=52, Resulting Numbers: [110, 52]
Generated Node #3: [110, 52] from Operation: 82-30=52
Current State: 58:[110, 52], Operations: ['52+58=110', '82-30=52']
Exploring Operation: 110-52=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[52, 58, 82, 30], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [58, 30, 30]
Generated Node #0,0: 58:[58, 30, 30] Operation: 82-52=30
Exploring Operation: 52-30=22, Resulting Numbers: [58, 82, 22]
Generated Node #0,1: 58:[58, 82, 22] Operation: 52-30=22
Exploring Operation: 58-52=6, Resulting Numbers: [82, 30, 6]
Generated Node #0,2: 58:[82, 30, 6] Operation: 58-52=6
Exploring Operation: 82-58=24, Resulting Numbers: [52, 30, 24]
Generated Node #0,3: 58:[52, 30, 24] Operation: 82-58=24
Exploring Operation: 82-30=52, Resulting Numbers: [52, 58, 52]
Generated Node #0,4: 58:[52, 58, 52] Operation: 82-30=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[58, 30, 30], Operations: ['82-52=30']
Exploring Operation: 58-30=28, Resulting Numbers: [30, 28]
Generated Node #0,0,0: 58:[30, 28] Operation: 58-30=28
Exploring Operation: 30/30=1, Resulting Numbers: [58, 1]
Generated Node #0,0,1: 58:[58, 1] Operation: 30/30=1
Exploring Operation: 30+30=60, Resulting Numbers: [58, 60]
Generated Node #0,0,2: 58:[58, 60] Operation: 30+30=60
Exploring Operation: 58-30=28, Resulting Numbers: [30, 28]
Generated Node #0,0,3: 58:[30, 28] Operation: 58-30=28
Exploring Operation: 30-30=0, Resulting Numbers: [58, 0]
Generated Node #0,0,4: 58:[58, 0] Operation: 30-30=0
Moving to Node #0,0,1
Current State: 58:[58, 1], Operations: ['82-52=30', '30/30=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[52, 58, 82, 30], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [58, 30, 30]
Generated Node #0,0: 58:[58, 30, 30] Operation: 82-52=30
Moving to Node #0,0
Current State: 58:[58, 30, 30], Operations: ['82-52=30']
Exploring Operation: 30/30=1, Resulting Numbers: [58, 1]
Generated Node #0,0,1: 58:[58, 1] Operation: 30/30=1
Moving to Node #0,0,1
Current State: 58:[58, 1], Operations: ['82-52=30', '30/30=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
68,
33,
16,
48
] | 68 | [
"33+16=49",
"49-48=1",
"68*1=68"
] | Current State: 68:[68, 33, 16, 48], Operations: []
Exploring Operation: 33+16=49, Resulting Numbers: [68, 48, 49]
Generated Node #2: [68, 48, 49] from Operation: 33+16=49
Current State: 68:[68, 48, 49], Operations: ['33+16=49']
Exploring Operation: 49-48=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 49-48=1
Current State: 68:[68, 1], Operations: ['33+16=49', '49-48=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[68, 33, 16, 48], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [68, 33, 3]
Generated Node #0,0: 68:[68, 33, 3] Operation: 48/16=3
Exploring Operation: 48-16=32, Resulting Numbers: [68, 33, 32]
Generated Node #0,1: 68:[68, 33, 32] Operation: 48-16=32
Exploring Operation: 48-33=15, Resulting Numbers: [68, 16, 15]
Generated Node #0,2: 68:[68, 16, 15] Operation: 48-33=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[68, 33, 3], Operations: ['48/16=3']
Exploring Operation: 68+3=71, Resulting Numbers: [33, 71]
Generated Node #0,0,0: 68:[33, 71] Operation: 68+3=71
Exploring Operation: 68-33=35, Resulting Numbers: [3, 35]
Generated Node #0,0,1: 68:[3, 35] Operation: 68-33=35
Exploring Operation: 33+3=36, Resulting Numbers: [68, 36]
Generated Node #0,0,2: 68:[68, 36] Operation: 33+3=36
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[3, 35], Operations: ['48/16=3', '68-33=35']
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,68 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[68, 36], Operations: ['48/16=3', '33+3=36']
Exploring Operation: 68*36=2448, Resulting Numbers: [2448]
2448,68 unequal: No Solution
Exploring Operation: 68+36=104, Resulting Numbers: [104]
104,68 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[33, 71], Operations: ['48/16=3', '68+3=71']
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,68 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[68, 33, 32], Operations: ['48-16=32']
Exploring Operation: 68-32=36, Resulting Numbers: [33, 36]
Generated Node #0,1,0: 68:[33, 36] Operation: 68-32=36
Exploring Operation: 33-32=1, Resulting Numbers: [68, 1]
Generated Node #0,1,1: 68:[68, 1] Operation: 33-32=1
Exploring Operation: 68-33=35, Resulting Numbers: [32, 35]
Generated Node #0,1,2: 68:[32, 35] Operation: 68-33=35
Moving to Node #0,1,1
Current State: 68:[68, 1], Operations: ['48-16=32', '33-32=1']
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[68, 33, 16, 48], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [68, 33, 32]
Generated Node #0,1: 68:[68, 33, 32] Operation: 48-16=32
Moving to Node #0,1
Current State: 68:[68, 33, 32], Operations: ['48-16=32']
Exploring Operation: 33-32=1, Resulting Numbers: [68, 1]
Generated Node #0,1,1: 68:[68, 1] Operation: 33-32=1
Moving to Node #0,1,1
Current State: 68:[68, 1], Operations: ['48-16=32', '33-32=1']
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
43,
76,
90,
32
] | 56 | [
"43+90=133",
"32*133=4256",
"4256/76=56"
] | Current State: 56:[43, 76, 90, 32], Operations: []
Exploring Operation: 43+90=133, Resulting Numbers: [76, 32, 133]
Generated Node #2: [76, 32, 133] from Operation: 43+90=133
Current State: 56:[76, 32, 133], Operations: ['43+90=133']
Exploring Operation: 32*133=4256, Resulting Numbers: [76, 4256]
Generated Node #3: [76, 4256] from Operation: 32*133=4256
Current State: 56:[76, 4256], Operations: ['43+90=133', '32*133=4256']
Exploring Operation: 4256/76=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[43, 76, 90, 32], Operations: []
Exploring Operation: 90-32=58, Resulting Numbers: [43, 76, 58]
Generated Node #0,0: 56:[43, 76, 58] Operation: 90-32=58
Exploring Operation: 90-76=14, Resulting Numbers: [43, 32, 14]
Generated Node #0,1: 56:[43, 32, 14] Operation: 90-76=14
Exploring Operation: 90-43=47, Resulting Numbers: [76, 32, 47]
Generated Node #0,2: 56:[76, 32, 47] Operation: 90-43=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[43, 32, 14], Operations: ['90-76=14']
Exploring Operation: 43-32=11, Resulting Numbers: [14, 11]
Generated Node #0,1,0: 56:[14, 11] Operation: 43-32=11
Exploring Operation: 43+14=57, Resulting Numbers: [32, 57]
Generated Node #0,1,1: 56:[32, 57] Operation: 43+14=57
Exploring Operation: 43-14=29, Resulting Numbers: [32, 29]
Generated Node #0,1,2: 56:[32, 29] Operation: 43-14=29
Moving to Node #0,1,0
Current State: 56:[14, 11], Operations: ['90-76=14', '43-32=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[32, 57], Operations: ['90-76=14', '43+14=57']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,56 unequal: No Solution
Exploring Operation: 32+57=89, Resulting Numbers: [89]
89,56 unequal: No Solution
Exploring Operation: 32*57=1824, Resulting Numbers: [1824]
1824,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[32, 29], Operations: ['90-76=14', '43-14=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,56 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[76, 32, 47], Operations: ['90-43=47']
Exploring Operation: 76-47=29, Resulting Numbers: [32, 29]
Generated Node #0,2,0: 56:[32, 29] Operation: 76-47=29
Exploring Operation: 76-32=44, Resulting Numbers: [47, 44]
Generated Node #0,2,1: 56:[47, 44] Operation: 76-32=44
Exploring Operation: 47-32=15, Resulting Numbers: [76, 15]
Generated Node #0,2,2: 56:[76, 15] Operation: 47-32=15
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[32, 29], Operations: ['90-43=47', '76-47=29']
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,56 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 56:[47, 44], Operations: ['90-43=47', '76-32=44']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 47*44=2068, Resulting Numbers: [2068]
2068,56 unequal: No Solution
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 56:[76, 15], Operations: ['90-43=47', '47-32=15']
Exploring Operation: 76*15=1140, Resulting Numbers: [1140]
1140,56 unequal: No Solution
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,56 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[43, 76, 58], Operations: ['90-32=58']
Exploring Operation: 76-43=33, Resulting Numbers: [58, 33]
Generated Node #0,0,0: 56:[58, 33] Operation: 76-43=33
Exploring Operation: 76-58=18, Resulting Numbers: [43, 18]
Generated Node #0,0,1: 56:[43, 18] Operation: 76-58=18
Exploring Operation: 58-43=15, Resulting Numbers: [76, 15]
Generated Node #0,0,2: 56:[76, 15] Operation: 58-43=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[58, 33], Operations: ['90-32=58', '76-43=33']
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,56 unequal: No Solution
Exploring Operation: 58*33=1914, Resulting Numbers: [1914]
1914,56 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 56:[43, 18], Operations: ['90-32=58', '76-58=18']
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 43*18=774, Resulting Numbers: [774]
774,56 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 56:[76, 15], Operations: ['90-32=58', '58-43=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,56 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 76*15=1140, Resulting Numbers: [1140]
1140,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
3,
75,
11,
43
] | 87 | [
"11+43=54",
"3*54=162",
"162-75=87"
] | Current State: 87:[3, 75, 11, 43], Operations: []
Exploring Operation: 11+43=54, Resulting Numbers: [3, 75, 54]
Generated Node #2: [3, 75, 54] from Operation: 11+43=54
Current State: 87:[3, 75, 54], Operations: ['11+43=54']
Exploring Operation: 3*54=162, Resulting Numbers: [75, 162]
Generated Node #3: [75, 162] from Operation: 3*54=162
Current State: 87:[75, 162], Operations: ['11+43=54', '3*54=162']
Exploring Operation: 162-75=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[3, 75, 11, 43], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [3, 11, 32]
Generated Node #0,0: 87:[3, 11, 32] Operation: 75-43=32
Moving to Node #0,0
Current State: 87:[3, 11, 32], Operations: ['75-43=32']
Exploring Operation: 3*11=33, Resulting Numbers: [32, 33]
Generated Node #0,0,0: 87:[32, 33] Operation: 3*11=33
Moving to Node #0,0,0
Current State: 87:[32, 33], Operations: ['75-43=32', '3*11=33']
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,87 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
59,
49,
36,
59
] | 62 | [
"59+49=108",
"108/36=3",
"59+3=62"
] | Current State: 62:[59, 49, 36, 59], Operations: []
Exploring Operation: 59+49=108, Resulting Numbers: [36, 108]
Generated Node #2: [36, 108] from Operation: 59+49=108
Current State: 62:[36, 108], Operations: ['59+49=108']
Exploring Operation: 108/36=3, Resulting Numbers: [3]
3,62 equal: Goal Reached
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[59, 49, 36, 59], Operations: []
Exploring Operation: 59-49=10, Resulting Numbers: [36, 59, 10]
Generated Node #0,0: 62:[36, 59, 10] Operation: 59-49=10
Exploring Operation: 59-49=10, Resulting Numbers: [59, 36, 10]
Generated Node #0,1: 62:[59, 36, 10] Operation: 59-49=10
Exploring Operation: 49-36=13, Resulting Numbers: [59, 59, 13]
Generated Node #0,2: 62:[59, 59, 13] Operation: 49-36=13
Moving to Node #0,0
Current State: 62:[36, 59, 10], Operations: ['59-49=10']
Exploring Operation: 36-10=26, Resulting Numbers: [59, 26]
Generated Node #0,0,0: 62:[59, 26] Operation: 36-10=26
Exploring Operation: 59-36=23, Resulting Numbers: [10, 23]
Generated Node #0,0,1: 62:[10, 23] Operation: 59-36=23
Exploring Operation: 59+10=69, Resulting Numbers: [36, 69]
Generated Node #0,0,2: 62:[36, 69] Operation: 59+10=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[59, 26], Operations: ['59-49=10', '36-10=26']
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 59*26=1534, Resulting Numbers: [1534]
1534,62 unequal: No Solution
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[36, 69], Operations: ['59-49=10', '59+10=69']
Exploring Operation: 36*69=2484, Resulting Numbers: [2484]
2484,62 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 36+69=105, Resulting Numbers: [105]
105,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[10, 23], Operations: ['59-49=10', '59-36=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 62:[59, 36, 10], Operations: ['59-49=10']
Exploring Operation: 36-10=26, Resulting Numbers: [59, 26]
Generated Node #0,1,0: 62:[59, 26] Operation: 36-10=26
Exploring Operation: 59+10=69, Resulting Numbers: [36, 69]
Generated Node #0,1,1: 62:[36, 69] Operation: 59+10=69
Exploring Operation: 59-36=23, Resulting Numbers: [10, 23]
Generated Node #0,1,2: 62:[10, 23] Operation: 59-36=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[59, 26], Operations: ['59-49=10', '36-10=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,62 unequal: No Solution
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 59*26=1534, Resulting Numbers: [1534]
1534,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[36, 69], Operations: ['59-49=10', '59+10=69']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 36*69=2484, Resulting Numbers: [2484]
2484,62 unequal: No Solution
Exploring Operation: 36+69=105, Resulting Numbers: [105]
105,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[10, 23], Operations: ['59-49=10', '59-36=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,62 unequal: No Solution
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 62:[59, 59, 13], Operations: ['49-36=13']
Exploring Operation: 59+13=72, Resulting Numbers: [59, 72]
Generated Node #0,2,0: 62:[59, 72] Operation: 59+13=72
Exploring Operation: 59-59=0, Resulting Numbers: [13, 0]
Generated Node #0,2,1: 62:[13, 0] Operation: 59-59=0
Exploring Operation: 59/59=1, Resulting Numbers: [13, 1]
Generated Node #0,2,2: 62:[13, 1] Operation: 59/59=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[13, 1], Operations: ['49-36=13', '59/59=1']
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[59, 72], Operations: ['49-36=13', '59+13=72']
Exploring Operation: 72-59=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 59+72=131, Resulting Numbers: [131]
131,62 unequal: No Solution
Exploring Operation: 59*72=4248, Resulting Numbers: [4248]
4248,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[13, 0], Operations: ['49-36=13', '59-59=0']
Exploring Operation: 13+0=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 13-0=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 13*0=0, Resulting Numbers: [0]
0,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
3,
61,
51,
59
] | 96 | [
"51-3=48",
"61-59=2",
"48*2=96"
] | Current State: 96:[3, 61, 51, 59], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [61, 59, 48]
Generated Node #2: [61, 59, 48] from Operation: 51-3=48
Current State: 96:[61, 59, 48], Operations: ['51-3=48']
Exploring Operation: 61-59=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 61-59=2
Current State: 96:[48, 2], Operations: ['51-3=48', '61-59=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[3, 61, 51, 59], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [3, 59, 10]
Generated Node #0,0: 96:[3, 59, 10] Operation: 61-51=10
Exploring Operation: 61-59=2, Resulting Numbers: [3, 51, 2]
Generated Node #0,1: 96:[3, 51, 2] Operation: 61-59=2
Exploring Operation: 59-51=8, Resulting Numbers: [3, 61, 8]
Generated Node #0,2: 96:[3, 61, 8] Operation: 59-51=8
Moving to Node #0,1
Current State: 96:[3, 51, 2], Operations: ['61-59=2']
Exploring Operation: 51/3=17, Resulting Numbers: [2, 17]
Generated Node #0,1,0: 96:[2, 17] Operation: 51/3=17
Exploring Operation: 51-3=48, Resulting Numbers: [2, 48]
Generated Node #0,1,1: 96:[2, 48] Operation: 51-3=48
Exploring Operation: 51-2=49, Resulting Numbers: [3, 49]
Generated Node #0,1,2: 96:[3, 49] Operation: 51-2=49
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[2, 48], Operations: ['61-59=2', '51-3=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,96 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[3, 61, 51, 59], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [3, 51, 2]
Generated Node #0,1: 96:[3, 51, 2] Operation: 61-59=2
Moving to Node #0,1
Current State: 96:[3, 51, 2], Operations: ['61-59=2']
Exploring Operation: 51-3=48, Resulting Numbers: [2, 48]
Generated Node #0,1,1: 96:[2, 48] Operation: 51-3=48
Moving to Node #0,1,1
Current State: 96:[2, 48], Operations: ['61-59=2', '51-3=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
63,
69,
61,
27
] | 82 | [
"69-63=6",
"61+27=88",
"88-6=82"
] | Current State: 82:[63, 69, 61, 27], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [61, 27, 6]
Generated Node #2: [61, 27, 6] from Operation: 69-63=6
Current State: 82:[61, 27, 6], Operations: ['69-63=6']
Exploring Operation: 61+27=88, Resulting Numbers: [6, 88]
Generated Node #3: [6, 88] from Operation: 61+27=88
Current State: 82:[6, 88], Operations: ['69-63=6', '61+27=88']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[63, 69, 61, 27], Operations: []
Exploring Operation: 61+27=88, Resulting Numbers: [63, 69, 88]
Generated Node #0,0: 82:[63, 69, 88] Operation: 61+27=88
Exploring Operation: 69-63=6, Resulting Numbers: [61, 27, 6]
Generated Node #0,1: 82:[61, 27, 6] Operation: 69-63=6
Exploring Operation: 63-61=2, Resulting Numbers: [69, 27, 2]
Generated Node #0,2: 82:[69, 27, 2] Operation: 63-61=2
Exploring Operation: 63-27=36, Resulting Numbers: [69, 61, 36]
Generated Node #0,3: 82:[69, 61, 36] Operation: 63-27=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[69, 27, 2], Operations: ['63-61=2']
Exploring Operation: 69+2=71, Resulting Numbers: [27, 71]
Generated Node #0,2,0: 82:[27, 71] Operation: 69+2=71
Exploring Operation: 69+27=96, Resulting Numbers: [2, 96]
Generated Node #0,2,1: 82:[2, 96] Operation: 69+27=96
Exploring Operation: 27+2=29, Resulting Numbers: [69, 29]
Generated Node #0,2,2: 82:[69, 29] Operation: 27+2=29
Exploring Operation: 69-27=42, Resulting Numbers: [2, 42]
Generated Node #0,2,3: 82:[2, 42] Operation: 69-27=42
Moving to Node #0,2,3
Current State: 82:[2, 42], Operations: ['63-61=2', '69-27=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[2, 96], Operations: ['63-61=2', '69+27=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 2*96=192, Resulting Numbers: [192]
192,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[69, 29], Operations: ['63-61=2', '27+2=29']
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[27, 71], Operations: ['63-61=2', '69+2=71']
Exploring Operation: 27*71=1917, Resulting Numbers: [1917]
1917,82 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 27+71=98, Resulting Numbers: [98]
98,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[63, 69, 88], Operations: ['61+27=88']
Exploring Operation: 88-63=25, Resulting Numbers: [69, 25]
Generated Node #0,0,0: 82:[69, 25] Operation: 88-63=25
Exploring Operation: 63+69=132, Resulting Numbers: [88, 132]
Generated Node #0,0,1: 82:[88, 132] Operation: 63+69=132
Exploring Operation: 88-69=19, Resulting Numbers: [63, 19]
Generated Node #0,0,2: 82:[63, 19] Operation: 88-69=19
Exploring Operation: 69-63=6, Resulting Numbers: [88, 6]
Generated Node #0,0,3: 82:[88, 6] Operation: 69-63=6
Moving to Node #0,0,3
Current State: 82:[88, 6], Operations: ['61+27=88', '69-63=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[63, 69, 61, 27], Operations: []
Exploring Operation: 61+27=88, Resulting Numbers: [63, 69, 88]
Generated Node #0,0: 82:[63, 69, 88] Operation: 61+27=88
Moving to Node #0,0
Current State: 82:[63, 69, 88], Operations: ['61+27=88']
Exploring Operation: 69-63=6, Resulting Numbers: [88, 6]
Generated Node #0,0,3: 82:[88, 6] Operation: 69-63=6
Moving to Node #0,0,3
Current State: 82:[88, 6], Operations: ['61+27=88', '69-63=6']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
10,
18,
58,
96
] | 26 | [
"10*18=180",
"58+96=154",
"180-154=26"
] | Current State: 26:[10, 18, 58, 96], Operations: []
Exploring Operation: 10*18=180, Resulting Numbers: [58, 96, 180]
Generated Node #2: [58, 96, 180] from Operation: 10*18=180
Current State: 26:[58, 96, 180], Operations: ['10*18=180']
Exploring Operation: 58+96=154, Resulting Numbers: [180, 154]
Generated Node #3: [180, 154] from Operation: 58+96=154
Current State: 26:[180, 154], Operations: ['10*18=180', '58+96=154']
Exploring Operation: 180-154=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[10, 18, 58, 96], Operations: []
Exploring Operation: 96-58=38, Resulting Numbers: [10, 18, 38]
Generated Node #0,0: 26:[10, 18, 38] Operation: 96-58=38
Exploring Operation: 58-10=48, Resulting Numbers: [18, 96, 48]
Generated Node #0,1: 26:[18, 96, 48] Operation: 58-10=48
Exploring Operation: 58-18=40, Resulting Numbers: [10, 96, 40]
Generated Node #0,2: 26:[10, 96, 40] Operation: 58-18=40
Exploring Operation: 96-18=78, Resulting Numbers: [10, 58, 78]
Generated Node #0,3: 26:[10, 58, 78] Operation: 96-18=78
Exploring Operation: 96-10=86, Resulting Numbers: [18, 58, 86]
Generated Node #0,4: 26:[18, 58, 86] Operation: 96-10=86
Moving to Node #0,0
Current State: 26:[10, 18, 38], Operations: ['96-58=38']
Exploring Operation: 38-18=20, Resulting Numbers: [10, 20]
Generated Node #0,0,0: 26:[10, 20] Operation: 38-18=20
Exploring Operation: 10+18=28, Resulting Numbers: [38, 28]
Generated Node #0,0,1: 26:[38, 28] Operation: 10+18=28
Exploring Operation: 18-10=8, Resulting Numbers: [38, 8]
Generated Node #0,0,2: 26:[38, 8] Operation: 18-10=8
Exploring Operation: 10+38=48, Resulting Numbers: [18, 48]
Generated Node #0,0,3: 26:[18, 48] Operation: 10+38=48
Exploring Operation: 38-10=28, Resulting Numbers: [18, 28]
Generated Node #0,0,4: 26:[18, 28] Operation: 38-10=28
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 26:[18, 28], Operations: ['96-58=38', '38-10=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[10, 20], Operations: ['96-58=38', '38-18=20']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,26 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[38, 28], Operations: ['96-58=38', '10+18=28']
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 38+28=66, Resulting Numbers: [66]
66,26 unequal: No Solution
Exploring Operation: 38*28=1064, Resulting Numbers: [1064]
1064,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 26:[38, 8], Operations: ['96-58=38', '18-10=8']
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,26 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 26:[18, 48], Operations: ['96-58=38', '10+38=48']
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,26 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 26:[10, 58, 78], Operations: ['96-18=78']
Exploring Operation: 58-10=48, Resulting Numbers: [78, 48]
Generated Node #0,3,0: 26:[78, 48] Operation: 58-10=48
Exploring Operation: 78-58=20, Resulting Numbers: [10, 20]
Generated Node #0,3,1: 26:[10, 20] Operation: 78-58=20
Exploring Operation: 78-10=68, Resulting Numbers: [58, 68]
Generated Node #0,3,2: 26:[58, 68] Operation: 78-10=68
Exploring Operation: 10+58=68, Resulting Numbers: [78, 68]
Generated Node #0,3,3: 26:[78, 68] Operation: 10+58=68
Exploring Operation: 10+78=88, Resulting Numbers: [58, 88]
Generated Node #0,3,4: 26:[58, 88] Operation: 10+78=88
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 26:[10, 20], Operations: ['96-18=78', '78-58=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,26 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 26:[78, 48], Operations: ['96-18=78', '58-10=48']
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 78+48=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 78*48=3744, Resulting Numbers: [3744]
3744,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 26:[58, 68], Operations: ['96-18=78', '78-10=68']
Exploring Operation: 58+68=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 58*68=3944, Resulting Numbers: [3944]
3944,26 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 26:[78, 68], Operations: ['96-18=78', '10+58=68']
Exploring Operation: 78*68=5304, Resulting Numbers: [5304]
5304,26 unequal: No Solution
Exploring Operation: 78+68=146, Resulting Numbers: [146]
146,26 unequal: No Solution
Exploring Operation: 78-68=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 26:[58, 88], Operations: ['96-18=78', '10+78=88']
Exploring Operation: 58*88=5104, Resulting Numbers: [5104]
5104,26 unequal: No Solution
Exploring Operation: 58+88=146, Resulting Numbers: [146]
146,26 unequal: No Solution
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 26:[10, 96, 40], Operations: ['58-18=40']
Exploring Operation: 10+96=106, Resulting Numbers: [40, 106]
Generated Node #0,2,0: 26:[40, 106] Operation: 10+96=106
Exploring Operation: 96-40=56, Resulting Numbers: [10, 56]
Generated Node #0,2,1: 26:[10, 56] Operation: 96-40=56
Exploring Operation: 40-10=30, Resulting Numbers: [96, 30]
Generated Node #0,2,2: 26:[96, 30] Operation: 40-10=30
Exploring Operation: 96-10=86, Resulting Numbers: [40, 86]
Generated Node #0,2,3: 26:[40, 86] Operation: 96-10=86
Exploring Operation: 40/10=4, Resulting Numbers: [96, 4]
Generated Node #0,2,4: 26:[96, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 26:[10, 56], Operations: ['58-18=40', '96-40=56']
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,26 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 10*56=560, Resulting Numbers: [560]
560,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 26:[96, 4], Operations: ['58-18=40', '40/10=4']
Exploring Operation: 96*4=384, Resulting Numbers: [384]
384,26 unequal: No Solution
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,26 unequal: No Solution
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 26:[96, 30], Operations: ['58-18=40', '40-10=30']
Exploring Operation: 96*30=2880, Resulting Numbers: [2880]
2880,26 unequal: No Solution
Exploring Operation: 96-30=66, Resulting Numbers: [66]
66,26 unequal: No Solution
Exploring Operation: 96+30=126, Resulting Numbers: [126]
126,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[40, 86], Operations: ['58-18=40', '96-10=86']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[40, 106], Operations: ['58-18=40', '10+96=106']
Exploring Operation: 40+106=146, Resulting Numbers: [146]
146,26 unequal: No Solution
Exploring Operation: 40*106=4240, Resulting Numbers: [4240]
4240,26 unequal: No Solution
Exploring Operation: 106-40=66, Resulting Numbers: [66]
66,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 26:[18, 96, 48], Operations: ['58-10=48']
Exploring Operation: 18+96=114, Resulting Numbers: [48, 114]
Generated Node #0,1,0: 26:[48, 114] Operation: 18+96=114
Exploring Operation: 96/48=2, Resulting Numbers: [18, 2]
Generated Node #0,1,1: 26:[18, 2] Operation: 96/48=2
Exploring Operation: 96-18=78, Resulting Numbers: [48, 78]
Generated Node #0,1,2: 26:[48, 78] Operation: 96-18=78
Exploring Operation: 48-18=30, Resulting Numbers: [96, 30]
Generated Node #0,1,3: 26:[96, 30] Operation: 48-18=30
Exploring Operation: 96-48=48, Resulting Numbers: [18, 48]
Generated Node #0,1,4: 26:[18, 48] Operation: 96-48=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[18, 2], Operations: ['58-10=48', '96/48=2']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,26 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 26:[18, 48], Operations: ['58-10=48', '96-48=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,26 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[48, 78], Operations: ['58-10=48', '96-18=78']
Exploring Operation: 48+78=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 48*78=3744, Resulting Numbers: [3744]
3744,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 26:[96, 30], Operations: ['58-10=48', '48-18=30']
Exploring Operation: 96*30=2880, Resulting Numbers: [2880]
2880,26 unequal: No Solution
Exploring Operation: 96+30=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 96-30=66, Resulting Numbers: [66]
66,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[48, 114], Operations: ['58-10=48', '18+96=114']
Exploring Operation: 48*114=5472, Resulting Numbers: [5472]
5472,26 unequal: No Solution
Exploring Operation: 48+114=162, Resulting Numbers: [162]
162,26 unequal: No Solution
Exploring Operation: 114-48=66, Resulting Numbers: [66]
66,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 26:[18, 58, 86], Operations: ['96-10=86']
Exploring Operation: 18+58=76, Resulting Numbers: [86, 76]
Generated Node #0,4,0: 26:[86, 76] Operation: 18+58=76
Exploring Operation: 58-18=40, Resulting Numbers: [86, 40]
Generated Node #0,4,1: 26:[86, 40] Operation: 58-18=40
Exploring Operation: 86-58=28, Resulting Numbers: [18, 28]
Generated Node #0,4,2: 26:[18, 28] Operation: 86-58=28
Exploring Operation: 18+86=104, Resulting Numbers: [58, 104]
Generated Node #0,4,3: 26:[58, 104] Operation: 18+86=104
Exploring Operation: 86-18=68, Resulting Numbers: [58, 68]
Generated Node #0,4,4: 26:[58, 68] Operation: 86-18=68
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 26:[18, 28], Operations: ['96-10=86', '86-58=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,26 unequal: No Solution
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 26:[86, 40], Operations: ['96-10=86', '58-18=40']
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 26:[58, 68], Operations: ['96-10=86', '86-18=68']
Exploring Operation: 58+68=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 58*68=3944, Resulting Numbers: [3944]
3944,26 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 26:[86, 76], Operations: ['96-10=86', '18+58=76']
Exploring Operation: 86*76=6536, Resulting Numbers: [6536]
6536,26 unequal: No Solution
Exploring Operation: 86+76=162, Resulting Numbers: [162]
162,26 unequal: No Solution
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 26:[58, 104], Operations: ['96-10=86', '18+86=104']
Exploring Operation: 104-58=46, Resulting Numbers: [46]
46,26 unequal: No Solution
Exploring Operation: 58*104=6032, Resulting Numbers: [6032]
6032,26 unequal: No Solution
Exploring Operation: 58+104=162, Resulting Numbers: [162]
162,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
92,
87,
41,
34
] | 32 | [
"87-41=46",
"92/46=2",
"34-2=32"
] | Current State: 32:[92, 87, 41, 34], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [92, 34, 46]
Generated Node #2: [92, 34, 46] from Operation: 87-41=46
Current State: 32:[92, 34, 46], Operations: ['87-41=46']
Exploring Operation: 92/46=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 92/46=2
Current State: 32:[34, 2], Operations: ['87-41=46', '92/46=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[92, 87, 41, 34], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [41, 34, 5]
Generated Node #0,0: 32:[41, 34, 5] Operation: 92-87=5
Exploring Operation: 92-41=51, Resulting Numbers: [87, 34, 51]
Generated Node #0,1: 32:[87, 34, 51] Operation: 92-41=51
Moving to Node #0,0
Current State: 32:[41, 34, 5], Operations: ['92-87=5']
Exploring Operation: 41-34=7, Resulting Numbers: [5, 7]
Generated Node #0,0,0: 32:[5, 7] Operation: 41-34=7
Exploring Operation: 41-5=36, Resulting Numbers: [34, 36]
Generated Node #0,0,1: 32:[34, 36] Operation: 41-5=36
Moving to Node #0,1
Current State: 32:[87, 34, 51], Operations: ['92-41=51']
Exploring Operation: 87-34=53, Resulting Numbers: [51, 53]
Generated Node #0,1,0: 32:[51, 53] Operation: 87-34=53
Exploring Operation: 87-51=36, Resulting Numbers: [34, 36]
Generated Node #0,1,1: 32:[34, 36] Operation: 87-51=36
Moving to Node #0,0,0
Current State: 32:[5, 7], Operations: ['92-87=5', '41-34=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[34, 36], Operations: ['92-41=51', '87-51=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[34, 36], Operations: ['92-87=5', '41-5=36']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[51, 53], Operations: ['92-41=51', '87-34=53']
Exploring Operation: 51+53=104, Resulting Numbers: [104]
104,32 unequal: No Solution
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,32 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
41,
6,
58,
78
] | 67 | [
"41+6=47",
"78-58=20",
"47+20=67"
] | Current State: 67:[41, 6, 58, 78], Operations: []
Exploring Operation: 41+6=47, Resulting Numbers: [58, 78, 47]
Generated Node #2: [58, 78, 47] from Operation: 41+6=47
Current State: 67:[58, 78, 47], Operations: ['41+6=47']
Exploring Operation: 78-58=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 78-58=20
Current State: 67:[47, 20], Operations: ['41+6=47', '78-58=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[41, 6, 58, 78], Operations: []
Exploring Operation: 41+6=47, Resulting Numbers: [58, 78, 47]
Generated Node #0,0: 67:[58, 78, 47] Operation: 41+6=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[58, 78, 47], Operations: ['41+6=47']
Exploring Operation: 78-47=31, Resulting Numbers: [58, 31]
Generated Node #0,0,0: 67:[58, 31] Operation: 78-47=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[58, 31], Operations: ['41+6=47', '78-47=31']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
9,
23,
37,
1
] | 50 | [
"23-9=14",
"37-1=36",
"14+36=50"
] | Current State: 50:[9, 23, 37, 1], Operations: []
Exploring Operation: 23-9=14, Resulting Numbers: [37, 1, 14]
Generated Node #2: [37, 1, 14] from Operation: 23-9=14
Current State: 50:[37, 1, 14], Operations: ['23-9=14']
Exploring Operation: 37-1=36, Resulting Numbers: [14, 36]
Generated Node #3: [14, 36] from Operation: 37-1=36
Current State: 50:[14, 36], Operations: ['23-9=14', '37-1=36']
Exploring Operation: 14+36=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[9, 23, 37, 1], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [23, 1, 28]
Generated Node #0,0: 50:[23, 1, 28] Operation: 37-9=28
Exploring Operation: 9+37=46, Resulting Numbers: [23, 1, 46]
Generated Node #0,1: 50:[23, 1, 46] Operation: 9+37=46
Exploring Operation: 37-23=14, Resulting Numbers: [9, 1, 14]
Generated Node #0,2: 50:[9, 1, 14] Operation: 37-23=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[23, 1, 28], Operations: ['37-9=28']
Exploring Operation: 23+1=24, Resulting Numbers: [28, 24]
Generated Node #0,0,0: 50:[28, 24] Operation: 23+1=24
Exploring Operation: 23+28=51, Resulting Numbers: [1, 51]
Generated Node #0,0,1: 50:[1, 51] Operation: 23+28=51
Exploring Operation: 28-23=5, Resulting Numbers: [1, 5]
Generated Node #0,0,2: 50:[1, 5] Operation: 28-23=5
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 50:[1, 5], Operations: ['37-9=28', '28-23=5']
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 50:[1, 51], Operations: ['37-9=28', '23+28=51']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[9, 23, 37, 1], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [23, 1, 28]
Generated Node #0,0: 50:[23, 1, 28] Operation: 37-9=28
Moving to Node #0,0
Current State: 50:[23, 1, 28], Operations: ['37-9=28']
Exploring Operation: 23+28=51, Resulting Numbers: [1, 51]
Generated Node #0,0,1: 50:[1, 51] Operation: 23+28=51
Moving to Node #0,0,1
Current State: 50:[1, 51], Operations: ['37-9=28', '23+28=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
24,
77,
15,
30
] | 98 | [
"77-24=53",
"15+30=45",
"53+45=98"
] | Current State: 98:[24, 77, 15, 30], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [15, 30, 53]
Generated Node #2: [15, 30, 53] from Operation: 77-24=53
Current State: 98:[15, 30, 53], Operations: ['77-24=53']
Exploring Operation: 15+30=45, Resulting Numbers: [53, 45]
Generated Node #3: [53, 45] from Operation: 15+30=45
Current State: 98:[53, 45], Operations: ['77-24=53', '15+30=45']
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[24, 77, 15, 30], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [15, 30, 53]
Generated Node #0,0: 98:[15, 30, 53] Operation: 77-24=53
Exploring Operation: 30-24=6, Resulting Numbers: [77, 15, 6]
Generated Node #0,1: 98:[77, 15, 6] Operation: 30-24=6
Exploring Operation: 77+30=107, Resulting Numbers: [24, 15, 107]
Generated Node #0,2: 98:[24, 15, 107] Operation: 77+30=107
Exploring Operation: 77-30=47, Resulting Numbers: [24, 15, 47]
Generated Node #0,3: 98:[24, 15, 47] Operation: 77-30=47
Exploring Operation: 24+77=101, Resulting Numbers: [15, 30, 101]
Generated Node #0,4: 98:[15, 30, 101] Operation: 24+77=101
Moving to Node #0,3
Current State: 98:[24, 15, 47], Operations: ['77-30=47']
Exploring Operation: 24+47=71, Resulting Numbers: [15, 71]
Generated Node #0,3,0: 98:[15, 71] Operation: 24+47=71
Exploring Operation: 47-24=23, Resulting Numbers: [15, 23]
Generated Node #0,3,1: 98:[15, 23] Operation: 47-24=23
Exploring Operation: 24+15=39, Resulting Numbers: [47, 39]
Generated Node #0,3,2: 98:[47, 39] Operation: 24+15=39
Exploring Operation: 15+47=62, Resulting Numbers: [24, 62]
Generated Node #0,3,3: 98:[24, 62] Operation: 15+47=62
Exploring Operation: 24-15=9, Resulting Numbers: [47, 9]
Generated Node #0,3,4: 98:[47, 9] Operation: 24-15=9
Moving to Node #0,4
Current State: 98:[15, 30, 101], Operations: ['24+77=101']
Exploring Operation: 15+30=45, Resulting Numbers: [101, 45]
Generated Node #0,4,0: 98:[101, 45] Operation: 15+30=45
Exploring Operation: 101-15=86, Resulting Numbers: [30, 86]
Generated Node #0,4,1: 98:[30, 86] Operation: 101-15=86
Exploring Operation: 30-15=15, Resulting Numbers: [101, 15]
Generated Node #0,4,2: 98:[101, 15] Operation: 30-15=15
Exploring Operation: 30/15=2, Resulting Numbers: [101, 2]
Generated Node #0,4,3: 98:[101, 2] Operation: 30/15=2
Exploring Operation: 101-30=71, Resulting Numbers: [15, 71]
Generated Node #0,4,4: 98:[15, 71] Operation: 101-30=71
Moving to Node #0,2
Current State: 98:[24, 15, 107], Operations: ['77+30=107']
Exploring Operation: 24+107=131, Resulting Numbers: [15, 131]
Generated Node #0,2,0: 98:[15, 131] Operation: 24+107=131
Exploring Operation: 107-15=92, Resulting Numbers: [24, 92]
Generated Node #0,2,1: 98:[24, 92] Operation: 107-15=92
Exploring Operation: 24-15=9, Resulting Numbers: [107, 9]
Generated Node #0,2,2: 98:[107, 9] Operation: 24-15=9
Exploring Operation: 107-24=83, Resulting Numbers: [15, 83]
Generated Node #0,2,3: 98:[15, 83] Operation: 107-24=83
Exploring Operation: 24+15=39, Resulting Numbers: [107, 39]
Generated Node #0,2,4: 98:[107, 39] Operation: 24+15=39
Moving to Node #0,0
Current State: 98:[15, 30, 53], Operations: ['77-24=53']
Exploring Operation: 15+30=45, Resulting Numbers: [53, 45]
Generated Node #0,0,0: 98:[53, 45] Operation: 15+30=45
Exploring Operation: 30+53=83, Resulting Numbers: [15, 83]
Generated Node #0,0,1: 98:[15, 83] Operation: 30+53=83
Exploring Operation: 30/15=2, Resulting Numbers: [53, 2]
Generated Node #0,0,2: 98:[53, 2] Operation: 30/15=2
Exploring Operation: 30-15=15, Resulting Numbers: [53, 15]
Generated Node #0,0,3: 98:[53, 15] Operation: 30-15=15
Exploring Operation: 53-30=23, Resulting Numbers: [15, 23]
Generated Node #0,0,4: 98:[15, 23] Operation: 53-30=23
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 98:[53, 2], Operations: ['77-24=53', '30/15=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,98 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 98:[53, 15], Operations: ['77-24=53', '30-15=15']
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,98 unequal: No Solution
Exploring Operation: 53*15=795, Resulting Numbers: [795]
795,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[53, 45], Operations: ['77-24=53', '15+30=45']
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[24, 77, 15, 30], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [15, 30, 53]
Generated Node #0,0: 98:[15, 30, 53] Operation: 77-24=53
Moving to Node #0,0
Current State: 98:[15, 30, 53], Operations: ['77-24=53']
Exploring Operation: 15+30=45, Resulting Numbers: [53, 45]
Generated Node #0,0,0: 98:[53, 45] Operation: 15+30=45
Moving to Node #0,0,0
Current State: 98:[53, 45], Operations: ['77-24=53', '15+30=45']
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
84,
21,
91,
39
] | 85 | [
"91*39=3549",
"3549/21=169",
"169-84=85"
] | Current State: 85:[84, 21, 91, 39], Operations: []
Exploring Operation: 91*39=3549, Resulting Numbers: [84, 21, 3549]
Generated Node #2: [84, 21, 3549] from Operation: 91*39=3549
Current State: 85:[84, 21, 3549], Operations: ['91*39=3549']
Exploring Operation: 3549/21=169, Resulting Numbers: [84, 169]
Generated Node #3: [84, 169] from Operation: 3549/21=169
Current State: 85:[84, 169], Operations: ['91*39=3549', '3549/21=169']
Exploring Operation: 169-84=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[84, 21, 91, 39], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [91, 39, 4]
Generated Node #0,0: 85:[91, 39, 4] Operation: 84/21=4
Exploring Operation: 39-21=18, Resulting Numbers: [84, 91, 18]
Generated Node #0,1: 85:[84, 91, 18] Operation: 39-21=18
Exploring Operation: 84-39=45, Resulting Numbers: [21, 91, 45]
Generated Node #0,2: 85:[21, 91, 45] Operation: 84-39=45
Exploring Operation: 21+39=60, Resulting Numbers: [84, 91, 60]
Generated Node #0,3: 85:[84, 91, 60] Operation: 21+39=60
Exploring Operation: 91-84=7, Resulting Numbers: [21, 39, 7]
Generated Node #0,4: 85:[21, 39, 7] Operation: 91-84=7
Moving to Node #0,1
Current State: 85:[84, 91, 18], Operations: ['39-21=18']
Exploring Operation: 91+18=109, Resulting Numbers: [84, 109]
Generated Node #0,1,0: 85:[84, 109] Operation: 91+18=109
Exploring Operation: 91-84=7, Resulting Numbers: [18, 7]
Generated Node #0,1,1: 85:[18, 7] Operation: 91-84=7
Exploring Operation: 84+18=102, Resulting Numbers: [91, 102]
Generated Node #0,1,2: 85:[91, 102] Operation: 84+18=102
Exploring Operation: 91-18=73, Resulting Numbers: [84, 73]
Generated Node #0,1,3: 85:[84, 73] Operation: 91-18=73
Exploring Operation: 84-18=66, Resulting Numbers: [91, 66]
Generated Node #0,1,4: 85:[91, 66] Operation: 84-18=66
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[18, 7], Operations: ['39-21=18', '91-84=7']
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 85:[84, 73], Operations: ['39-21=18', '91-18=73']
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,85 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 84*73=6132, Resulting Numbers: [6132]
6132,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 85:[91, 102], Operations: ['39-21=18', '84+18=102']
Exploring Operation: 91+102=193, Resulting Numbers: [193]
193,85 unequal: No Solution
Exploring Operation: 102-91=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 91*102=9282, Resulting Numbers: [9282]
9282,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[84, 109], Operations: ['39-21=18', '91+18=109']
Exploring Operation: 84+109=193, Resulting Numbers: [193]
193,85 unequal: No Solution
Exploring Operation: 109-84=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 84*109=9156, Resulting Numbers: [9156]
9156,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 85:[91, 66], Operations: ['39-21=18', '84-18=66']
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 91+66=157, Resulting Numbers: [157]
157,85 unequal: No Solution
Exploring Operation: 91*66=6006, Resulting Numbers: [6006]
6006,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 85:[21, 39, 7], Operations: ['91-84=7']
Exploring Operation: 21/7=3, Resulting Numbers: [39, 3]
Generated Node #0,4,0: 85:[39, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [39, 14]
Generated Node #0,4,1: 85:[39, 14] Operation: 21-7=14
Exploring Operation: 21+39=60, Resulting Numbers: [7, 60]
Generated Node #0,4,2: 85:[7, 60] Operation: 21+39=60
Exploring Operation: 39-21=18, Resulting Numbers: [7, 18]
Generated Node #0,4,3: 85:[7, 18] Operation: 39-21=18
Exploring Operation: 39-7=32, Resulting Numbers: [21, 32]
Generated Node #0,4,4: 85:[21, 32] Operation: 39-7=32
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 85:[7, 18], Operations: ['91-84=7', '39-21=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 85:[21, 32], Operations: ['91-84=7', '39-7=32']
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,85 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 85:[39, 3], Operations: ['91-84=7', '21/7=3']
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,85 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,85 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 85:[39, 14], Operations: ['91-84=7', '21-7=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,85 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 85:[7, 60], Operations: ['91-84=7', '21+39=60']
Exploring Operation: 7*60=420, Resulting Numbers: [420]
420,85 unequal: No Solution
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 85:[91, 39, 4], Operations: ['84/21=4']
Exploring Operation: 91+4=95, Resulting Numbers: [39, 95]
Generated Node #0,0,0: 85:[39, 95] Operation: 91+4=95
Exploring Operation: 91-39=52, Resulting Numbers: [4, 52]
Generated Node #0,0,1: 85:[4, 52] Operation: 91-39=52
Exploring Operation: 91-4=87, Resulting Numbers: [39, 87]
Generated Node #0,0,2: 85:[39, 87] Operation: 91-4=87
Exploring Operation: 39-4=35, Resulting Numbers: [91, 35]
Generated Node #0,0,3: 85:[91, 35] Operation: 39-4=35
Exploring Operation: 39+4=43, Resulting Numbers: [91, 43]
Generated Node #0,0,4: 85:[91, 43] Operation: 39+4=43
Moving to Node #0,3
Current State: 85:[84, 91, 60], Operations: ['21+39=60']
Exploring Operation: 84+60=144, Resulting Numbers: [91, 144]
Generated Node #0,3,0: 85:[91, 144] Operation: 84+60=144
Exploring Operation: 91-60=31, Resulting Numbers: [84, 31]
Generated Node #0,3,1: 85:[84, 31] Operation: 91-60=31
Exploring Operation: 91-84=7, Resulting Numbers: [60, 7]
Generated Node #0,3,2: 85:[60, 7] Operation: 91-84=7
Exploring Operation: 84-60=24, Resulting Numbers: [91, 24]
Generated Node #0,3,3: 85:[91, 24] Operation: 84-60=24
Exploring Operation: 91+60=151, Resulting Numbers: [84, 151]
Generated Node #0,3,4: 85:[84, 151] Operation: 91+60=151
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 85:[91, 24], Operations: ['21+39=60', '84-60=24']
Exploring Operation: 91+24=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 91*24=2184, Resulting Numbers: [2184]
2184,85 unequal: No Solution
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 85:[84, 31], Operations: ['21+39=60', '91-60=31']
Exploring Operation: 84*31=2604, Resulting Numbers: [2604]
2604,85 unequal: No Solution
Exploring Operation: 84+31=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 85:[60, 7], Operations: ['21+39=60', '91-84=7']
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 60*7=420, Resulting Numbers: [420]
420,85 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 85:[91, 144], Operations: ['21+39=60', '84+60=144']
Exploring Operation: 144-91=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 91*144=13104, Resulting Numbers: [13104]
13104,85 unequal: No Solution
Exploring Operation: 91+144=235, Resulting Numbers: [235]
235,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 85:[84, 151], Operations: ['21+39=60', '91+60=151']
Exploring Operation: 84*151=12684, Resulting Numbers: [12684]
12684,85 unequal: No Solution
Exploring Operation: 84+151=235, Resulting Numbers: [235]
235,85 unequal: No Solution
Exploring Operation: 151-84=67, Resulting Numbers: [67]
67,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 85:[21, 91, 45], Operations: ['84-39=45']
Exploring Operation: 21+45=66, Resulting Numbers: [91, 66]
Generated Node #0,2,0: 85:[91, 66] Operation: 21+45=66
Exploring Operation: 91-45=46, Resulting Numbers: [21, 46]
Generated Node #0,2,1: 85:[21, 46] Operation: 91-45=46
Exploring Operation: 21+91=112, Resulting Numbers: [45, 112]
Generated Node #0,2,2: 85:[45, 112] Operation: 21+91=112
Exploring Operation: 45-21=24, Resulting Numbers: [91, 24]
Generated Node #0,2,3: 85:[91, 24] Operation: 45-21=24
Exploring Operation: 91-21=70, Resulting Numbers: [45, 70]
Generated Node #0,2,4: 85:[45, 70] Operation: 91-21=70
Moving to Node #0,2,3
Current State: 85:[91, 24], Operations: ['84-39=45', '45-21=24']
Exploring Operation: 91+24=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 91*24=2184, Resulting Numbers: [2184]
2184,85 unequal: No Solution
Moving to Node #0,0,2
Current State: 85:[39, 87], Operations: ['84/21=4', '91-4=87']
Exploring Operation: 39*87=3393, Resulting Numbers: [3393]
3393,85 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 39+87=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Moving to Node #0,0,3
Current State: 85:[91, 35], Operations: ['84/21=4', '39-4=35']
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,85 unequal: No Solution
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[91, 66], Operations: ['84-39=45', '21+45=66']
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 91+66=157, Resulting Numbers: [157]
157,85 unequal: No Solution
Exploring Operation: 91*66=6006, Resulting Numbers: [6006]
6006,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[39, 95], Operations: ['84/21=4', '91+4=95']
Exploring Operation: 95-39=56, Resulting Numbers: [56]
56,85 unequal: No Solution
Exploring Operation: 39+95=134, Resulting Numbers: [134]
134,85 unequal: No Solution
Exploring Operation: 39*95=3705, Resulting Numbers: [3705]
3705,85 unequal: No Solution
Moving to Node #0,0,4
Current State: 85:[91, 43], Operations: ['84/21=4', '39+4=43']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 91*43=3913, Resulting Numbers: [3913]
3913,85 unequal: No Solution
Exploring Operation: 91+43=134, Resulting Numbers: [134]
134,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[21, 46], Operations: ['84-39=45', '91-45=46']
Exploring Operation: 21*46=966, Resulting Numbers: [966]
966,85 unequal: No Solution
Exploring Operation: 21+46=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[4, 52], Operations: ['84/21=4', '91-39=52']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,85 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,85 unequal: No Solution
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,85 unequal: No Solution
Moving to Node #0,2,4
Current State: 85:[45, 70], Operations: ['84-39=45', '91-21=70']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[45, 112], Operations: ['84-39=45', '21+91=112']
Exploring Operation: 45*112=5040, Resulting Numbers: [5040]
5040,85 unequal: No Solution
Exploring Operation: 112-45=67, Resulting Numbers: [67]
67,85 unequal: No Solution
Exploring Operation: 45+112=157, Resulting Numbers: [157]
157,85 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
32,
63,
54,
68
] | 45 | [
"63-32=31",
"68-54=14",
"31+14=45"
] | Current State: 45:[32, 63, 54, 68], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [54, 68, 31]
Generated Node #2: [54, 68, 31] from Operation: 63-32=31
Current State: 45:[54, 68, 31], Operations: ['63-32=31']
Exploring Operation: 68-54=14, Resulting Numbers: [31, 14]
Generated Node #3: [31, 14] from Operation: 68-54=14
Current State: 45:[31, 14], Operations: ['63-32=31', '68-54=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[32, 63, 54, 68], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [32, 54, 5]
Generated Node #0,0: 45:[32, 54, 5] Operation: 68-63=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[32, 54, 5], Operations: ['68-63=5']
Exploring Operation: 54-32=22, Resulting Numbers: [5, 22]
Generated Node #0,0,0: 45:[5, 22] Operation: 54-32=22
Moving to Node #0,0,0
Current State: 45:[5, 22], Operations: ['68-63=5', '54-32=22']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
46,
2,
78
] | 40 | [
"30+46=76",
"76/2=38",
"78-38=40"
] | Current State: 40:[30, 46, 2, 78], Operations: []
Exploring Operation: 30+46=76, Resulting Numbers: [2, 78, 76]
Generated Node #2: [2, 78, 76] from Operation: 30+46=76
Current State: 40:[2, 78, 76], Operations: ['30+46=76']
Exploring Operation: 76/2=38, Resulting Numbers: [78, 38]
Generated Node #3: [78, 38] from Operation: 76/2=38
Current State: 40:[78, 38], Operations: ['30+46=76', '76/2=38']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[30, 46, 2, 78], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [46, 2, 48]
Generated Node #0,0: 40:[46, 2, 48] Operation: 78-30=48
Exploring Operation: 78/2=39, Resulting Numbers: [30, 46, 39]
Generated Node #0,1: 40:[30, 46, 39] Operation: 78/2=39
Moving to Node #0,0
Current State: 40:[46, 2, 48], Operations: ['78-30=48']
Exploring Operation: 48-46=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 40:[2, 2] Operation: 48-46=2
Exploring Operation: 48/2=24, Resulting Numbers: [46, 24]
Generated Node #0,0,1: 40:[46, 24] Operation: 48/2=24
Moving to Node #0,1
Current State: 40:[30, 46, 39], Operations: ['78/2=39']
Exploring Operation: 39-30=9, Resulting Numbers: [46, 9]
Generated Node #0,1,0: 40:[46, 9] Operation: 39-30=9
Exploring Operation: 46-30=16, Resulting Numbers: [39, 16]
Generated Node #0,1,1: 40:[39, 16] Operation: 46-30=16
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[39, 16], Operations: ['78/2=39', '46-30=16']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[46, 9], Operations: ['78/2=39', '39-30=9']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 40:[2, 2], Operations: ['78-30=48', '48-46=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[46, 24], Operations: ['78-30=48', '48/2=24']
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,40 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,40 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
74,
58,
50,
95
] | 87 | [
"74+58=132",
"95-50=45",
"132-45=87"
] | Current State: 87:[74, 58, 50, 95], Operations: []
Exploring Operation: 74+58=132, Resulting Numbers: [50, 95, 132]
Generated Node #2: [50, 95, 132] from Operation: 74+58=132
Current State: 87:[50, 95, 132], Operations: ['74+58=132']
Exploring Operation: 95-50=45, Resulting Numbers: [132, 45]
Generated Node #3: [132, 45] from Operation: 95-50=45
Current State: 87:[132, 45], Operations: ['74+58=132', '95-50=45']
Exploring Operation: 132-45=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[74, 58, 50, 95], Operations: []
Exploring Operation: 74-58=16, Resulting Numbers: [50, 95, 16]
Generated Node #0,0: 87:[50, 95, 16] Operation: 74-58=16
Exploring Operation: 58-50=8, Resulting Numbers: [74, 95, 8]
Generated Node #0,1: 87:[74, 95, 8] Operation: 58-50=8
Moving to Node #0,1
Current State: 87:[74, 95, 8], Operations: ['58-50=8']
Exploring Operation: 74+8=82, Resulting Numbers: [95, 82]
Generated Node #0,1,0: 87:[95, 82] Operation: 74+8=82
Exploring Operation: 95-74=21, Resulting Numbers: [8, 21]
Generated Node #0,1,1: 87:[8, 21] Operation: 95-74=21
Moving to Node #0,0
Current State: 87:[50, 95, 16], Operations: ['74-58=16']
Exploring Operation: 95-50=45, Resulting Numbers: [16, 45]
Generated Node #0,0,0: 87:[16, 45] Operation: 95-50=45
Exploring Operation: 50-16=34, Resulting Numbers: [95, 34]
Generated Node #0,0,1: 87:[95, 34] Operation: 50-16=34
Moving to Node #0,1,0
Current State: 87:[95, 82], Operations: ['58-50=8', '74+8=82']
Exploring Operation: 95+82=177, Resulting Numbers: [177]
177,87 unequal: No Solution
Exploring Operation: 95-82=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[95, 34], Operations: ['74-58=16', '50-16=34']
Exploring Operation: 95+34=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[8, 21], Operations: ['58-50=8', '95-74=21']
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[16, 45], Operations: ['74-58=16', '95-50=45']
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,87 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,87 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
62,
4,
96,
46
] | 26 | [
"62+96=158",
"4*46=184",
"184-158=26"
] | Current State: 26:[62, 4, 96, 46], Operations: []
Exploring Operation: 62+96=158, Resulting Numbers: [4, 46, 158]
Generated Node #2: [4, 46, 158] from Operation: 62+96=158
Current State: 26:[4, 46, 158], Operations: ['62+96=158']
Exploring Operation: 4*46=184, Resulting Numbers: [158, 184]
Generated Node #3: [158, 184] from Operation: 4*46=184
Current State: 26:[158, 184], Operations: ['62+96=158', '4*46=184']
Exploring Operation: 184-158=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[62, 4, 96, 46], Operations: []
Exploring Operation: 96-62=34, Resulting Numbers: [4, 46, 34]
Generated Node #0,0: 26:[4, 46, 34] Operation: 96-62=34
Moving to Node #0,0
Current State: 26:[4, 46, 34], Operations: ['96-62=34']
Exploring Operation: 46-34=12, Resulting Numbers: [4, 12]
Generated Node #0,0,0: 26:[4, 12] Operation: 46-34=12
Moving to Node #0,0,0
Current State: 26:[4, 12], Operations: ['96-62=34', '46-34=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,26 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
73,
2,
71,
31
] | 66 | [
"73-71=2",
"2+31=33",
"2*33=66"
] | Current State: 66:[73, 2, 71, 31], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [2, 31, 2]
Generated Node #2: [2, 31, 2] from Operation: 73-71=2
Current State: 66:[2, 31, 2], Operations: ['73-71=2']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,66 equal: Goal Reached
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[73, 2, 71, 31], Operations: []
Exploring Operation: 73-2=71, Resulting Numbers: [71, 31, 71]
Generated Node #0,0: 66:[71, 31, 71] Operation: 73-2=71
Exploring Operation: 73-71=2, Resulting Numbers: [2, 31, 2]
Generated Node #0,1: 66:[2, 31, 2] Operation: 73-71=2
Exploring Operation: 71-2=69, Resulting Numbers: [73, 31, 69]
Generated Node #0,2: 66:[73, 31, 69] Operation: 71-2=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[2, 31, 2], Operations: ['73-71=2']
Exploring Operation: 31+2=33, Resulting Numbers: [2, 33]
Generated Node #0,1,0: 66:[2, 33] Operation: 31+2=33
Exploring Operation: 2+31=33, Resulting Numbers: [2, 33]
Generated Node #0,1,1: 66:[2, 33] Operation: 2+31=33
Exploring Operation: 2+2=4, Resulting Numbers: [31, 4]
Generated Node #0,1,2: 66:[31, 4] Operation: 2+2=4
Moving to Node #0,1,0
Current State: 66:[2, 33], Operations: ['73-71=2', '31+2=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[73, 2, 71, 31], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [2, 31, 2]
Generated Node #0,1: 66:[2, 31, 2] Operation: 73-71=2
Moving to Node #0,1
Current State: 66:[2, 31, 2], Operations: ['73-71=2']
Exploring Operation: 31+2=33, Resulting Numbers: [2, 33]
Generated Node #0,1,0: 66:[2, 33] Operation: 31+2=33
Moving to Node #0,1,0
Current State: 66:[2, 33], Operations: ['73-71=2', '31+2=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
79,
29,
76,
56
] | 82 | [
"79-29=50",
"76+56=132",
"132-50=82"
] | Current State: 82:[79, 29, 76, 56], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [76, 56, 50]
Generated Node #2: [76, 56, 50] from Operation: 79-29=50
Current State: 82:[76, 56, 50], Operations: ['79-29=50']
Exploring Operation: 76+56=132, Resulting Numbers: [50, 132]
Generated Node #3: [50, 132] from Operation: 76+56=132
Current State: 82:[50, 132], Operations: ['79-29=50', '76+56=132']
Exploring Operation: 132-50=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[79, 29, 76, 56], Operations: []
Exploring Operation: 29+56=85, Resulting Numbers: [79, 76, 85]
Generated Node #0,0: 82:[79, 76, 85] Operation: 29+56=85
Exploring Operation: 56-29=27, Resulting Numbers: [79, 76, 27]
Generated Node #0,1: 82:[79, 76, 27] Operation: 56-29=27
Moving to Node #0,0
Current State: 82:[79, 76, 85], Operations: ['29+56=85']
Exploring Operation: 79-76=3, Resulting Numbers: [85, 3]
Generated Node #0,0,0: 82:[85, 3] Operation: 79-76=3
Exploring Operation: 85-79=6, Resulting Numbers: [76, 6]
Generated Node #0,0,1: 82:[76, 6] Operation: 85-79=6
Moving to Node #0,1
Current State: 82:[79, 76, 27], Operations: ['56-29=27']
Exploring Operation: 79-76=3, Resulting Numbers: [27, 3]
Generated Node #0,1,0: 82:[27, 3] Operation: 79-76=3
Exploring Operation: 76-27=49, Resulting Numbers: [79, 49]
Generated Node #0,1,1: 82:[79, 49] Operation: 76-27=49
Moving to Node #0,0,0
Current State: 82:[85, 3], Operations: ['29+56=85', '79-76=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,82 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[79, 29, 76, 56], Operations: []
Exploring Operation: 29+56=85, Resulting Numbers: [79, 76, 85]
Generated Node #0,0: 82:[79, 76, 85] Operation: 29+56=85
Moving to Node #0,0
Current State: 82:[79, 76, 85], Operations: ['29+56=85']
Exploring Operation: 79-76=3, Resulting Numbers: [85, 3]
Generated Node #0,0,0: 82:[85, 3] Operation: 79-76=3
Moving to Node #0,0,0
Current State: 82:[85, 3], Operations: ['29+56=85', '79-76=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
4,
90,
35,
44
] | 94 | [
"4*35=140",
"90-44=46",
"140-46=94"
] | Current State: 94:[4, 90, 35, 44], Operations: []
Exploring Operation: 4*35=140, Resulting Numbers: [90, 44, 140]
Generated Node #2: [90, 44, 140] from Operation: 4*35=140
Current State: 94:[90, 44, 140], Operations: ['4*35=140']
Exploring Operation: 90-44=46, Resulting Numbers: [140, 46]
Generated Node #3: [140, 46] from Operation: 90-44=46
Current State: 94:[140, 46], Operations: ['4*35=140', '90-44=46']
Exploring Operation: 140-46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[4, 90, 35, 44], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [4, 90, 9]
Generated Node #0,0: 94:[4, 90, 9] Operation: 44-35=9
Exploring Operation: 4+90=94, Resulting Numbers: [35, 44, 94]
Generated Node #0,1: 94:[35, 44, 94] Operation: 4+90=94
Exploring Operation: 90-35=55, Resulting Numbers: [4, 44, 55]
Generated Node #0,2: 94:[4, 44, 55] Operation: 90-35=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[4, 90, 9], Operations: ['44-35=9']
Exploring Operation: 4+90=94, Resulting Numbers: [9, 94]
Generated Node #0,0,0: 94:[9, 94] Operation: 4+90=94
Exploring Operation: 9-4=5, Resulting Numbers: [90, 5]
Generated Node #0,0,1: 94:[90, 5] Operation: 9-4=5
Exploring Operation: 90+9=99, Resulting Numbers: [4, 99]
Generated Node #0,0,2: 94:[4, 99] Operation: 90+9=99
Moving to Node #0,0,0
Current State: 94:[9, 94], Operations: ['44-35=9', '4+90=94']
Exploring Operation: 9+94=103, Resulting Numbers: [103]
103,94 unequal: No Solution
Exploring Operation: 9*94=846, Resulting Numbers: [846]
846,94 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[90, 5], Operations: ['44-35=9', '9-4=5']
Exploring Operation: 90+5=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Moving to Node #0,0,2
Current State: 94:[4, 99], Operations: ['44-35=9', '90+9=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 4+99=103, Resulting Numbers: [103]
103,94 unequal: No Solution
Exploring Operation: 4*99=396, Resulting Numbers: [396]
396,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[4, 44, 55], Operations: ['90-35=55']
Exploring Operation: 44+55=99, Resulting Numbers: [4, 99]
Generated Node #0,2,0: 94:[4, 99] Operation: 44+55=99
Exploring Operation: 55-4=51, Resulting Numbers: [44, 51]
Generated Node #0,2,1: 94:[44, 51] Operation: 55-4=51
Exploring Operation: 4+44=48, Resulting Numbers: [55, 48]
Generated Node #0,2,2: 94:[55, 48] Operation: 4+44=48
Moving to Node #0,2,0
Current State: 94:[4, 99], Operations: ['90-35=55', '44+55=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 4*99=396, Resulting Numbers: [396]
396,94 unequal: No Solution
Exploring Operation: 4+99=103, Resulting Numbers: [103]
103,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[44, 51], Operations: ['90-35=55', '55-4=51']
Exploring Operation: 51-44=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 44*51=2244, Resulting Numbers: [2244]
2244,94 unequal: No Solution
Exploring Operation: 44+51=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[55, 48], Operations: ['90-35=55', '4+44=48']
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,94 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[35, 44, 94], Operations: ['4+90=94']
Exploring Operation: 35+44=79, Resulting Numbers: [94, 79]
Generated Node #0,1,0: 94:[94, 79] Operation: 35+44=79
Exploring Operation: 44-35=9, Resulting Numbers: [94, 9]
Generated Node #0,1,1: 94:[94, 9] Operation: 44-35=9
Exploring Operation: 94-35=59, Resulting Numbers: [44, 59]
Generated Node #0,1,2: 94:[44, 59] Operation: 94-35=59
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[94, 9], Operations: ['4+90=94', '44-35=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,94 unequal: No Solution
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,94 unequal: No Solution
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[94, 79], Operations: ['4+90=94', '35+44=79']
Exploring Operation: 94*79=7426, Resulting Numbers: [7426]
7426,94 unequal: No Solution
Exploring Operation: 94-79=15, Resulting Numbers: [15]
15,94 unequal: No Solution
Exploring Operation: 94+79=173, Resulting Numbers: [173]
173,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 94:[44, 59], Operations: ['4+90=94', '94-35=59']
Exploring Operation: 44+59=103, Resulting Numbers: [103]
103,94 unequal: No Solution
Exploring Operation: 44*59=2596, Resulting Numbers: [2596]
2596,94 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
26,
30,
37
] | 61 | [
"37-30=7",
"5*7=35",
"26+35=61"
] | Current State: 61:[5, 26, 30, 37], Operations: []
Exploring Operation: 37-30=7, Resulting Numbers: [5, 26, 7]
Generated Node #2: [5, 26, 7] from Operation: 37-30=7
Current State: 61:[5, 26, 7], Operations: ['37-30=7']
Exploring Operation: 5*7=35, Resulting Numbers: [26, 35]
Generated Node #3: [26, 35] from Operation: 5*7=35
Current State: 61:[26, 35], Operations: ['37-30=7', '5*7=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[5, 26, 30, 37], Operations: []
Exploring Operation: 26+37=63, Resulting Numbers: [5, 30, 63]
Generated Node #0,0: 61:[5, 30, 63] Operation: 26+37=63
Exploring Operation: 5+30=35, Resulting Numbers: [26, 37, 35]
Generated Node #0,1: 61:[26, 37, 35] Operation: 5+30=35
Exploring Operation: 26+30=56, Resulting Numbers: [5, 37, 56]
Generated Node #0,2: 61:[5, 37, 56] Operation: 26+30=56
Exploring Operation: 5+37=42, Resulting Numbers: [26, 30, 42]
Generated Node #0,3: 61:[26, 30, 42] Operation: 5+37=42
Exploring Operation: 5+26=31, Resulting Numbers: [30, 37, 31]
Generated Node #0,4: 61:[30, 37, 31] Operation: 5+26=31
Moving to Node #0,1
Current State: 61:[26, 37, 35], Operations: ['5+30=35']
Exploring Operation: 35-26=9, Resulting Numbers: [37, 9]
Generated Node #0,1,0: 61:[37, 9] Operation: 35-26=9
Exploring Operation: 26+35=61, Resulting Numbers: [37, 61]
Generated Node #0,1,1: 61:[37, 61] Operation: 26+35=61
Exploring Operation: 37-26=11, Resulting Numbers: [35, 11]
Generated Node #0,1,2: 61:[35, 11] Operation: 37-26=11
Exploring Operation: 26+37=63, Resulting Numbers: [35, 63]
Generated Node #0,1,3: 61:[35, 63] Operation: 26+37=63
Exploring Operation: 37+35=72, Resulting Numbers: [26, 72]
Generated Node #0,1,4: 61:[26, 72] Operation: 37+35=72
Moving to Node #0,3
Current State: 61:[26, 30, 42], Operations: ['5+37=42']
Exploring Operation: 42-26=16, Resulting Numbers: [30, 16]
Generated Node #0,3,0: 61:[30, 16] Operation: 42-26=16
Exploring Operation: 30+42=72, Resulting Numbers: [26, 72]
Generated Node #0,3,1: 61:[26, 72] Operation: 30+42=72
Exploring Operation: 26+42=68, Resulting Numbers: [30, 68]
Generated Node #0,3,2: 61:[30, 68] Operation: 26+42=68
Exploring Operation: 26+30=56, Resulting Numbers: [42, 56]
Generated Node #0,3,3: 61:[42, 56] Operation: 26+30=56
Exploring Operation: 30-26=4, Resulting Numbers: [42, 4]
Generated Node #0,3,4: 61:[42, 4] Operation: 30-26=4
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 61:[42, 56], Operations: ['5+37=42', '26+30=56']
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 61:[30, 68], Operations: ['5+37=42', '26+42=68']
Exploring Operation: 30*68=2040, Resulting Numbers: [2040]
2040,61 unequal: No Solution
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 61:[26, 72], Operations: ['5+37=42', '30+42=72']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 26*72=1872, Resulting Numbers: [1872]
1872,61 unequal: No Solution
Exploring Operation: 26+72=98, Resulting Numbers: [98]
98,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 61:[30, 16], Operations: ['5+37=42', '42-26=16']
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,61 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 61:[42, 4], Operations: ['5+37=42', '30-26=4']
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,61 unequal: No Solution
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 61:[5, 37, 56], Operations: ['26+30=56']
Exploring Operation: 37-5=32, Resulting Numbers: [56, 32]
Generated Node #0,2,0: 61:[56, 32] Operation: 37-5=32
Exploring Operation: 5+37=42, Resulting Numbers: [56, 42]
Generated Node #0,2,1: 61:[56, 42] Operation: 5+37=42
Exploring Operation: 37+56=93, Resulting Numbers: [5, 93]
Generated Node #0,2,2: 61:[5, 93] Operation: 37+56=93
Exploring Operation: 56-5=51, Resulting Numbers: [37, 51]
Generated Node #0,2,3: 61:[37, 51] Operation: 56-5=51
Exploring Operation: 5+56=61, Resulting Numbers: [37, 61]
Generated Node #0,2,4: 61:[37, 61] Operation: 5+56=61
Moving to Node #0,4
Current State: 61:[30, 37, 31], Operations: ['5+26=31']
Exploring Operation: 30+37=67, Resulting Numbers: [31, 67]
Generated Node #0,4,0: 61:[31, 67] Operation: 30+37=67
Exploring Operation: 31-30=1, Resulting Numbers: [37, 1]
Generated Node #0,4,1: 61:[37, 1] Operation: 31-30=1
Exploring Operation: 30+31=61, Resulting Numbers: [37, 61]
Generated Node #0,4,2: 61:[37, 61] Operation: 30+31=61
Exploring Operation: 37+31=68, Resulting Numbers: [30, 68]
Generated Node #0,4,3: 61:[30, 68] Operation: 37+31=68
Exploring Operation: 37-30=7, Resulting Numbers: [31, 7]
Generated Node #0,4,4: 61:[31, 7] Operation: 37-30=7
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 61:[37, 61], Operations: ['5+26=31', '30+31=61']
Exploring Operation: 37+61=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 37*61=2257, Resulting Numbers: [2257]
2257,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 61:[31, 67], Operations: ['5+26=31', '30+37=67']
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 61:[30, 68], Operations: ['5+26=31', '37+31=68']
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 30*68=2040, Resulting Numbers: [2040]
2040,61 unequal: No Solution
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 61:[37, 1], Operations: ['5+26=31', '31-30=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 61:[31, 7], Operations: ['5+26=31', '37-30=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 61:[5, 30, 63], Operations: ['26+37=63']
Exploring Operation: 30-5=25, Resulting Numbers: [63, 25]
Generated Node #0,0,0: 61:[63, 25] Operation: 30-5=25
Exploring Operation: 5+30=35, Resulting Numbers: [63, 35]
Generated Node #0,0,1: 61:[63, 35] Operation: 5+30=35
Exploring Operation: 5+63=68, Resulting Numbers: [30, 68]
Generated Node #0,0,2: 61:[30, 68] Operation: 5+63=68
Exploring Operation: 30/5=6, Resulting Numbers: [63, 6]
Generated Node #0,0,3: 61:[63, 6] Operation: 30/5=6
Exploring Operation: 63-5=58, Resulting Numbers: [30, 58]
Generated Node #0,0,4: 61:[30, 58] Operation: 63-5=58
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[63, 35], Operations: ['26+37=63', '5+30=35']
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 63+35=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 63*35=2205, Resulting Numbers: [2205]
2205,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 61:[30, 58], Operations: ['26+37=63', '63-5=58']
Exploring Operation: 30*58=1740, Resulting Numbers: [1740]
1740,61 unequal: No Solution
Exploring Operation: 30+58=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[63, 25], Operations: ['26+37=63', '30-5=25']
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,61 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[30, 68], Operations: ['26+37=63', '5+63=68']
Exploring Operation: 30*68=2040, Resulting Numbers: [2040]
2040,61 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 61:[63, 6], Operations: ['26+37=63', '30/5=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,61 unequal: No Solution
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 61:[37, 61], Operations: ['5+30=35', '26+35=61']
Exploring Operation: 37*61=2257, Resulting Numbers: [2257]
2257,61 unequal: No Solution
Exploring Operation: 37+61=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[56, 42], Operations: ['26+30=56', '5+37=42']
Exploring Operation: 56+42=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 56*42=2352, Resulting Numbers: [2352]
2352,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[37, 61], Operations: ['26+30=56', '5+56=61']
Exploring Operation: 37+61=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 37*61=2257, Resulting Numbers: [2257]
2257,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[35, 63], Operations: ['5+30=35', '26+37=63']
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,61 unequal: No Solution
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[37, 51], Operations: ['26+30=56', '56-5=51']
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,61 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[56, 32], Operations: ['26+30=56', '37-5=32']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[26, 72], Operations: ['5+30=35', '37+35=72']
Exploring Operation: 26*72=1872, Resulting Numbers: [1872]
1872,61 unequal: No Solution
Exploring Operation: 26+72=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[35, 11], Operations: ['5+30=35', '37-26=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[37, 9], Operations: ['5+30=35', '35-26=9']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[5, 93], Operations: ['26+30=56', '37+56=93']
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 5*93=465, Resulting Numbers: [465]
465,61 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
45,
46,
10,
88
] | 98 | [
"46-45=1",
"10+88=98",
"1*98=98"
] | Current State: 98:[45, 46, 10, 88], Operations: []
Exploring Operation: 46-45=1, Resulting Numbers: [10, 88, 1]
Generated Node #2: [10, 88, 1] from Operation: 46-45=1
Current State: 98:[10, 88, 1], Operations: ['46-45=1']
Exploring Operation: 10+88=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 10+88=98
Current State: 98:[1, 98], Operations: ['46-45=1', '10+88=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[45, 46, 10, 88], Operations: []
Exploring Operation: 10+88=98, Resulting Numbers: [45, 46, 98]
Generated Node #0,0: 98:[45, 46, 98] Operation: 10+88=98
Exploring Operation: 46-45=1, Resulting Numbers: [10, 88, 1]
Generated Node #0,1: 98:[10, 88, 1] Operation: 46-45=1
Exploring Operation: 88-46=42, Resulting Numbers: [45, 10, 42]
Generated Node #0,2: 98:[45, 10, 42] Operation: 88-46=42
Exploring Operation: 88-45=43, Resulting Numbers: [46, 10, 43]
Generated Node #0,3: 98:[46, 10, 43] Operation: 88-45=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[45, 46, 98], Operations: ['10+88=98']
Exploring Operation: 98-45=53, Resulting Numbers: [46, 53]
Generated Node #0,0,0: 98:[46, 53] Operation: 98-45=53
Exploring Operation: 46-45=1, Resulting Numbers: [98, 1]
Generated Node #0,0,1: 98:[98, 1] Operation: 46-45=1
Exploring Operation: 45+46=91, Resulting Numbers: [98, 91]
Generated Node #0,0,2: 98:[98, 91] Operation: 45+46=91
Exploring Operation: 98-46=52, Resulting Numbers: [45, 52]
Generated Node #0,0,3: 98:[45, 52] Operation: 98-46=52
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[98, 1], Operations: ['10+88=98', '46-45=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,98 unequal: No Solution
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[45, 46, 10, 88], Operations: []
Exploring Operation: 10+88=98, Resulting Numbers: [45, 46, 98]
Generated Node #0,0: 98:[45, 46, 98] Operation: 10+88=98
Moving to Node #0,0
Current State: 98:[45, 46, 98], Operations: ['10+88=98']
Exploring Operation: 46-45=1, Resulting Numbers: [98, 1]
Generated Node #0,0,1: 98:[98, 1] Operation: 46-45=1
Moving to Node #0,0,1
Current State: 98:[98, 1], Operations: ['10+88=98', '46-45=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
86,
53,
73,
9
] | 49 | [
"86-53=33",
"73+9=82",
"82-33=49"
] | Current State: 49:[86, 53, 73, 9], Operations: []
Exploring Operation: 86-53=33, Resulting Numbers: [73, 9, 33]
Generated Node #2: [73, 9, 33] from Operation: 86-53=33
Current State: 49:[73, 9, 33], Operations: ['86-53=33']
Exploring Operation: 73+9=82, Resulting Numbers: [33, 82]
Generated Node #3: [33, 82] from Operation: 73+9=82
Current State: 49:[33, 82], Operations: ['86-53=33', '73+9=82']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[86, 53, 73, 9], Operations: []
Exploring Operation: 86-53=33, Resulting Numbers: [73, 9, 33]
Generated Node #0,0: 49:[73, 9, 33] Operation: 86-53=33
Exploring Operation: 86-73=13, Resulting Numbers: [53, 9, 13]
Generated Node #0,1: 49:[53, 9, 13] Operation: 86-73=13
Exploring Operation: 73-53=20, Resulting Numbers: [86, 9, 20]
Generated Node #0,2: 49:[86, 9, 20] Operation: 73-53=20
Exploring Operation: 86-9=77, Resulting Numbers: [53, 73, 77]
Generated Node #0,3: 49:[53, 73, 77] Operation: 86-9=77
Moving to Node #0,1
Current State: 49:[53, 9, 13], Operations: ['86-73=13']
Exploring Operation: 53-9=44, Resulting Numbers: [13, 44]
Generated Node #0,1,0: 49:[13, 44] Operation: 53-9=44
Exploring Operation: 13-9=4, Resulting Numbers: [53, 4]
Generated Node #0,1,1: 49:[53, 4] Operation: 13-9=4
Exploring Operation: 53-13=40, Resulting Numbers: [9, 40]
Generated Node #0,1,2: 49:[9, 40] Operation: 53-13=40
Exploring Operation: 53+9=62, Resulting Numbers: [13, 62]
Generated Node #0,1,3: 49:[13, 62] Operation: 53+9=62
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[53, 4], Operations: ['86-73=13', '13-9=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[86, 53, 73, 9], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [53, 9, 13]
Generated Node #0,1: 49:[53, 9, 13] Operation: 86-73=13
Moving to Node #0,1
Current State: 49:[53, 9, 13], Operations: ['86-73=13']
Exploring Operation: 13-9=4, Resulting Numbers: [53, 4]
Generated Node #0,1,1: 49:[53, 4] Operation: 13-9=4
Moving to Node #0,1,1
Current State: 49:[53, 4], Operations: ['86-73=13', '13-9=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
28,
24,
25,
86
] | 78 | [
"28-25=3",
"24/3=8",
"86-8=78"
] | Current State: 78:[28, 24, 25, 86], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [24, 86, 3]
Generated Node #2: [24, 86, 3] from Operation: 28-25=3
Current State: 78:[24, 86, 3], Operations: ['28-25=3']
Exploring Operation: 24/3=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 24/3=8
Current State: 78:[86, 8], Operations: ['28-25=3', '24/3=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[28, 24, 25, 86], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [25, 86, 4]
Generated Node #0,0: 78:[25, 86, 4] Operation: 28-24=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[25, 86, 4], Operations: ['28-24=4']
Exploring Operation: 86-4=82, Resulting Numbers: [25, 82]
Generated Node #0,0,0: 78:[25, 82] Operation: 86-4=82
Moving to Node #0,0,0
Current State: 78:[25, 82], Operations: ['28-24=4', '86-4=82']
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
3,
17,
60
] | 21 | [
"7*60=420",
"3+17=20",
"420/20=21"
] | Current State: 21:[7, 3, 17, 60], Operations: []
Exploring Operation: 7*60=420, Resulting Numbers: [3, 17, 420]
Generated Node #2: [3, 17, 420] from Operation: 7*60=420
Current State: 21:[3, 17, 420], Operations: ['7*60=420']
Exploring Operation: 3+17=20, Resulting Numbers: [420, 20]
Generated Node #3: [420, 20] from Operation: 3+17=20
Current State: 21:[420, 20], Operations: ['7*60=420', '3+17=20']
Exploring Operation: 420/20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[7, 3, 17, 60], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [7, 3, 43]
Generated Node #0,0: 21:[7, 3, 43] Operation: 60-17=43
Exploring Operation: 60-7=53, Resulting Numbers: [3, 17, 53]
Generated Node #0,1: 21:[3, 17, 53] Operation: 60-7=53
Exploring Operation: 60/3=20, Resulting Numbers: [7, 17, 20]
Generated Node #0,2: 21:[7, 17, 20] Operation: 60/3=20
Moving to Node #0,2
Current State: 21:[7, 17, 20], Operations: ['60/3=20']
Exploring Operation: 20-17=3, Resulting Numbers: [7, 3]
Generated Node #0,2,0: 21:[7, 3] Operation: 20-17=3
Exploring Operation: 7+17=24, Resulting Numbers: [20, 24]
Generated Node #0,2,1: 21:[20, 24] Operation: 7+17=24
Exploring Operation: 17-7=10, Resulting Numbers: [20, 10]
Generated Node #0,2,2: 21:[20, 10] Operation: 17-7=10
Moving to Node #0,0
Current State: 21:[7, 3, 43], Operations: ['60-17=43']
Exploring Operation: 7*3=21, Resulting Numbers: [43, 21]
Generated Node #0,0,0: 21:[43, 21] Operation: 7*3=21
Exploring Operation: 43-7=36, Resulting Numbers: [3, 36]
Generated Node #0,0,1: 21:[3, 36] Operation: 43-7=36
Exploring Operation: 43-3=40, Resulting Numbers: [7, 40]
Generated Node #0,0,2: 21:[7, 40] Operation: 43-3=40
Moving to Node #0,1
Current State: 21:[3, 17, 53], Operations: ['60-7=53']
Exploring Operation: 53-17=36, Resulting Numbers: [3, 36]
Generated Node #0,1,0: 21:[3, 36] Operation: 53-17=36
Exploring Operation: 53-3=50, Resulting Numbers: [17, 50]
Generated Node #0,1,1: 21:[17, 50] Operation: 53-3=50
Exploring Operation: 3+17=20, Resulting Numbers: [53, 20]
Generated Node #0,1,2: 21:[53, 20] Operation: 3+17=20
Moving to Node #0,2,0
Current State: 21:[7, 3], Operations: ['60/3=20', '20-17=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[7, 3, 17, 60], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [7, 17, 20]
Generated Node #0,2: 21:[7, 17, 20] Operation: 60/3=20
Moving to Node #0,2
Current State: 21:[7, 17, 20], Operations: ['60/3=20']
Exploring Operation: 20-17=3, Resulting Numbers: [7, 3]
Generated Node #0,2,0: 21:[7, 3] Operation: 20-17=3
Moving to Node #0,2,0
Current State: 21:[7, 3], Operations: ['60/3=20', '20-17=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.983507 | hs_3 | sum_heuristic |
[
82,
15,
74,
2
] | 19 | [
"82-74=8",
"8/2=4",
"15+4=19"
] | Current State: 19:[82, 15, 74, 2], Operations: []
Exploring Operation: 82-74=8, Resulting Numbers: [15, 2, 8]
Generated Node #2: [15, 2, 8] from Operation: 82-74=8
Current State: 19:[15, 2, 8], Operations: ['82-74=8']
Exploring Operation: 8/2=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 8/2=4
Current State: 19:[15, 4], Operations: ['82-74=8', '8/2=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[82, 15, 74, 2], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [15, 74, 41]
Generated Node #0,0: 19:[15, 74, 41] Operation: 82/2=41
Exploring Operation: 82-15=67, Resulting Numbers: [74, 2, 67]
Generated Node #0,1: 19:[74, 2, 67] Operation: 82-15=67
Exploring Operation: 82-2=80, Resulting Numbers: [15, 74, 80]
Generated Node #0,2: 19:[15, 74, 80] Operation: 82-2=80
Exploring Operation: 82-74=8, Resulting Numbers: [15, 2, 8]
Generated Node #0,3: 19:[15, 2, 8] Operation: 82-74=8
Exploring Operation: 74/2=37, Resulting Numbers: [82, 15, 37]
Generated Node #0,4: 19:[82, 15, 37] Operation: 74/2=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[15, 2, 8], Operations: ['82-74=8']
Exploring Operation: 8-2=6, Resulting Numbers: [15, 6]
Generated Node #0,3,0: 19:[15, 6] Operation: 8-2=6
Exploring Operation: 15-2=13, Resulting Numbers: [8, 13]
Generated Node #0,3,1: 19:[8, 13] Operation: 15-2=13
Exploring Operation: 2+8=10, Resulting Numbers: [15, 10]
Generated Node #0,3,2: 19:[15, 10] Operation: 2+8=10
Exploring Operation: 15+2=17, Resulting Numbers: [8, 17]
Generated Node #0,3,3: 19:[8, 17] Operation: 15+2=17
Exploring Operation: 2*8=16, Resulting Numbers: [15, 16]
Generated Node #0,3,4: 19:[15, 16] Operation: 2*8=16
Moving to Node #0,3,4
Current State: 19:[15, 16], Operations: ['82-74=8', '2*8=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[8, 17], Operations: ['82-74=8', '15+2=17']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,19 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[15, 10], Operations: ['82-74=8', '2+8=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[15, 6], Operations: ['82-74=8', '8-2=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,19 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Moving to Node #0,3,1
Current State: 19:[8, 13], Operations: ['82-74=8', '15-2=13']
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,19 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,19 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[15, 74, 41], Operations: ['82/2=41']
Exploring Operation: 41-15=26, Resulting Numbers: [74, 26]
Generated Node #0,0,0: 19:[74, 26] Operation: 41-15=26
Exploring Operation: 15+74=89, Resulting Numbers: [41, 89]
Generated Node #0,0,1: 19:[41, 89] Operation: 15+74=89
Exploring Operation: 74-15=59, Resulting Numbers: [41, 59]
Generated Node #0,0,2: 19:[41, 59] Operation: 74-15=59
Exploring Operation: 74-41=33, Resulting Numbers: [15, 33]
Generated Node #0,0,3: 19:[15, 33] Operation: 74-41=33
Exploring Operation: 15+41=56, Resulting Numbers: [74, 56]
Generated Node #0,0,4: 19:[74, 56] Operation: 15+41=56
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 19:[15, 33], Operations: ['82/2=41', '74-41=33']
Exploring Operation: 15*33=495, Resulting Numbers: [495]
495,19 unequal: No Solution
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[74, 26], Operations: ['82/2=41', '41-15=26']
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 74*26=1924, Resulting Numbers: [1924]
1924,19 unequal: No Solution
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[41, 59], Operations: ['82/2=41', '74-15=59']
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 41+59=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 41*59=2419, Resulting Numbers: [2419]
2419,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[41, 89], Operations: ['82/2=41', '15+74=89']
Exploring Operation: 89-41=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 41*89=3649, Resulting Numbers: [3649]
3649,19 unequal: No Solution
Exploring Operation: 41+89=130, Resulting Numbers: [130]
130,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 19:[74, 56], Operations: ['82/2=41', '15+41=56']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 74*56=4144, Resulting Numbers: [4144]
4144,19 unequal: No Solution
Exploring Operation: 74+56=130, Resulting Numbers: [130]
130,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 19:[82, 15, 37], Operations: ['74/2=37']
Exploring Operation: 82-37=45, Resulting Numbers: [15, 45]
Generated Node #0,4,0: 19:[15, 45] Operation: 82-37=45
Exploring Operation: 37-15=22, Resulting Numbers: [82, 22]
Generated Node #0,4,1: 19:[82, 22] Operation: 37-15=22
Exploring Operation: 82-15=67, Resulting Numbers: [37, 67]
Generated Node #0,4,2: 19:[37, 67] Operation: 82-15=67
Exploring Operation: 82+15=97, Resulting Numbers: [37, 97]
Generated Node #0,4,3: 19:[37, 97] Operation: 82+15=97
Exploring Operation: 15+37=52, Resulting Numbers: [82, 52]
Generated Node #0,4,4: 19:[82, 52] Operation: 15+37=52
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 19:[15, 45], Operations: ['74/2=37', '82-37=45']
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 15+45=60, Resulting Numbers: [60]
60,19 unequal: No Solution
Exploring Operation: 15*45=675, Resulting Numbers: [675]
675,19 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 19:[82, 22], Operations: ['74/2=37', '37-15=22']
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,19 unequal: No Solution
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,19 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 19:[37, 67], Operations: ['74/2=37', '82-15=67']
Exploring Operation: 37*67=2479, Resulting Numbers: [2479]
2479,19 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 37+67=104, Resulting Numbers: [104]
104,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 19:[37, 97], Operations: ['74/2=37', '82+15=97']
Exploring Operation: 37+97=134, Resulting Numbers: [134]
134,19 unequal: No Solution
Exploring Operation: 37*97=3589, Resulting Numbers: [3589]
3589,19 unequal: No Solution
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 19:[82, 52], Operations: ['74/2=37', '15+37=52']
Exploring Operation: 82+52=134, Resulting Numbers: [134]
134,19 unequal: No Solution
Exploring Operation: 82*52=4264, Resulting Numbers: [4264]
4264,19 unequal: No Solution
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[74, 2, 67], Operations: ['82-15=67']
Exploring Operation: 74-67=7, Resulting Numbers: [2, 7]
Generated Node #0,1,0: 19:[2, 7] Operation: 74-67=7
Exploring Operation: 74/2=37, Resulting Numbers: [67, 37]
Generated Node #0,1,1: 19:[67, 37] Operation: 74/2=37
Exploring Operation: 74+2=76, Resulting Numbers: [67, 76]
Generated Node #0,1,2: 19:[67, 76] Operation: 74+2=76
Exploring Operation: 74-2=72, Resulting Numbers: [67, 72]
Generated Node #0,1,3: 19:[67, 72] Operation: 74-2=72
Exploring Operation: 67-2=65, Resulting Numbers: [74, 65]
Generated Node #0,1,4: 19:[74, 65] Operation: 67-2=65
Moving to Node #0,1,0
Current State: 19:[2, 7], Operations: ['82-15=67', '74-67=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[67, 37], Operations: ['82-15=67', '74/2=37']
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,19 unequal: No Solution
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,19 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Moving to Node #0,1,3
Current State: 19:[67, 72], Operations: ['82-15=67', '74-2=72']
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 67*72=4824, Resulting Numbers: [4824]
4824,19 unequal: No Solution
Exploring Operation: 67+72=139, Resulting Numbers: [139]
139,19 unequal: No Solution
Moving to Node #0,1,4
Current State: 19:[74, 65], Operations: ['82-15=67', '67-2=65']
Exploring Operation: 74*65=4810, Resulting Numbers: [4810]
4810,19 unequal: No Solution
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 74+65=139, Resulting Numbers: [139]
139,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[67, 76], Operations: ['82-15=67', '74+2=76']
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,19 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[15, 74, 80], Operations: ['82-2=80']
Exploring Operation: 15+80=95, Resulting Numbers: [74, 95]
Generated Node #0,2,0: 19:[74, 95] Operation: 15+80=95
Exploring Operation: 15+74=89, Resulting Numbers: [80, 89]
Generated Node #0,2,1: 19:[80, 89] Operation: 15+74=89
Exploring Operation: 80-15=65, Resulting Numbers: [74, 65]
Generated Node #0,2,2: 19:[74, 65] Operation: 80-15=65
Exploring Operation: 80-74=6, Resulting Numbers: [15, 6]
Generated Node #0,2,3: 19:[15, 6] Operation: 80-74=6
Exploring Operation: 74-15=59, Resulting Numbers: [80, 59]
Generated Node #0,2,4: 19:[80, 59] Operation: 74-15=59
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 19:[15, 6], Operations: ['82-2=80', '80-74=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[74, 65], Operations: ['82-2=80', '80-15=65']
Exploring Operation: 74+65=139, Resulting Numbers: [139]
139,19 unequal: No Solution
Exploring Operation: 74*65=4810, Resulting Numbers: [4810]
4810,19 unequal: No Solution
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 19:[80, 59], Operations: ['82-2=80', '74-15=59']
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,19 unequal: No Solution
Exploring Operation: 80+59=139, Resulting Numbers: [139]
139,19 unequal: No Solution
Exploring Operation: 80*59=4720, Resulting Numbers: [4720]
4720,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 19:[74, 95], Operations: ['82-2=80', '15+80=95']
Exploring Operation: 74+95=169, Resulting Numbers: [169]
169,19 unequal: No Solution
Exploring Operation: 74*95=7030, Resulting Numbers: [7030]
7030,19 unequal: No Solution
Exploring Operation: 95-74=21, Resulting Numbers: [21]
21,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 19:[80, 89], Operations: ['82-2=80', '15+74=89']
Exploring Operation: 80*89=7120, Resulting Numbers: [7120]
7120,19 unequal: No Solution
Exploring Operation: 80+89=169, Resulting Numbers: [169]
169,19 unequal: No Solution
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
85,
7,
57,
43
] | 39 | [
"85-57=28",
"28/7=4",
"43-4=39"
] | Current State: 39:[85, 7, 57, 43], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [7, 43, 28]
Generated Node #2: [7, 43, 28] from Operation: 85-57=28
Current State: 39:[7, 43, 28], Operations: ['85-57=28']
Exploring Operation: 28/7=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 28/7=4
Current State: 39:[43, 4], Operations: ['85-57=28', '28/7=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[85, 7, 57, 43], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [7, 57, 42]
Generated Node #0,0: 39:[7, 57, 42] Operation: 85-43=42
Exploring Operation: 85-57=28, Resulting Numbers: [7, 43, 28]
Generated Node #0,1: 39:[7, 43, 28] Operation: 85-57=28
Exploring Operation: 57-43=14, Resulting Numbers: [85, 7, 14]
Generated Node #0,2: 39:[85, 7, 14] Operation: 57-43=14
Exploring Operation: 85-7=78, Resulting Numbers: [57, 43, 78]
Generated Node #0,3: 39:[57, 43, 78] Operation: 85-7=78
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[7, 43, 28], Operations: ['85-57=28']
Exploring Operation: 43-28=15, Resulting Numbers: [7, 15]
Generated Node #0,1,0: 39:[7, 15] Operation: 43-28=15
Exploring Operation: 7+28=35, Resulting Numbers: [43, 35]
Generated Node #0,1,1: 39:[43, 35] Operation: 7+28=35
Exploring Operation: 28-7=21, Resulting Numbers: [43, 21]
Generated Node #0,1,2: 39:[43, 21] Operation: 28-7=21
Exploring Operation: 28/7=4, Resulting Numbers: [43, 4]
Generated Node #0,1,3: 39:[43, 4] Operation: 28/7=4
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 39:[43, 4], Operations: ['85-57=28', '28/7=4']
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,39 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[85, 7, 57, 43], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [7, 43, 28]
Generated Node #0,1: 39:[7, 43, 28] Operation: 85-57=28
Moving to Node #0,1
Current State: 39:[7, 43, 28], Operations: ['85-57=28']
Exploring Operation: 28/7=4, Resulting Numbers: [43, 4]
Generated Node #0,1,3: 39:[43, 4] Operation: 28/7=4
Moving to Node #0,1,3
Current State: 39:[43, 4], Operations: ['85-57=28', '28/7=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
64,
22,
30,
61
] | 69 | [
"30-22=8",
"64/8=8",
"61+8=69"
] | Current State: 69:[64, 22, 30, 61], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [64, 61, 8]
Generated Node #2: [64, 61, 8] from Operation: 30-22=8
Current State: 69:[64, 61, 8], Operations: ['30-22=8']
Exploring Operation: 64/8=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 64/8=8
Current State: 69:[61, 8], Operations: ['30-22=8', '64/8=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[64, 22, 30, 61], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [64, 22, 31]
Generated Node #0,0: 69:[64, 22, 31] Operation: 61-30=31
Exploring Operation: 64-61=3, Resulting Numbers: [22, 30, 3]
Generated Node #0,1: 69:[22, 30, 3] Operation: 64-61=3
Moving to Node #0,1
Current State: 69:[22, 30, 3], Operations: ['64-61=3']
Exploring Operation: 30-3=27, Resulting Numbers: [22, 27]
Generated Node #0,1,0: 69:[22, 27] Operation: 30-3=27
Exploring Operation: 30-22=8, Resulting Numbers: [3, 8]
Generated Node #0,1,1: 69:[3, 8] Operation: 30-22=8
Moving to Node #0,0
Current State: 69:[64, 22, 31], Operations: ['61-30=31']
Exploring Operation: 31-22=9, Resulting Numbers: [64, 9]
Generated Node #0,0,0: 69:[64, 9] Operation: 31-22=9
Exploring Operation: 64-31=33, Resulting Numbers: [22, 33]
Generated Node #0,0,1: 69:[22, 33] Operation: 64-31=33
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[64, 9], Operations: ['61-30=31', '31-22=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,69 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[22, 33], Operations: ['61-30=31', '64-31=33']
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 69:[22, 27], Operations: ['64-61=3', '30-3=27']
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,69 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[3, 8], Operations: ['64-61=3', '30-22=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,69 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
33,
12,
40,
35
] | 24 | [
"33-12=21",
"40*21=840",
"840/35=24"
] | Current State: 24:[33, 12, 40, 35], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [40, 35, 21]
Generated Node #2: [40, 35, 21] from Operation: 33-12=21
Current State: 24:[40, 35, 21], Operations: ['33-12=21']
Exploring Operation: 40*21=840, Resulting Numbers: [35, 840]
Generated Node #3: [35, 840] from Operation: 40*21=840
Current State: 24:[35, 840], Operations: ['33-12=21', '40*21=840']
Exploring Operation: 840/35=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[33, 12, 40, 35], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [33, 12, 5]
Generated Node #0,0: 24:[33, 12, 5] Operation: 40-35=5
Moving to Node #0,0
Current State: 24:[33, 12, 5], Operations: ['40-35=5']
Exploring Operation: 33-12=21, Resulting Numbers: [5, 21]
Generated Node #0,0,0: 24:[5, 21] Operation: 33-12=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[5, 21], Operations: ['40-35=5', '33-12=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
96,
23,
77,
12
] | 92 | [
"96/12=8",
"23+77=100",
"100-8=92"
] | Current State: 92:[96, 23, 77, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [23, 77, 8]
Generated Node #2: [23, 77, 8] from Operation: 96/12=8
Current State: 92:[23, 77, 8], Operations: ['96/12=8']
Exploring Operation: 23+77=100, Resulting Numbers: [8, 100]
Generated Node #3: [8, 100] from Operation: 23+77=100
Current State: 92:[8, 100], Operations: ['96/12=8', '23+77=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[96, 23, 77, 12], Operations: []
Exploring Operation: 77+12=89, Resulting Numbers: [96, 23, 89]
Generated Node #0,0: 92:[96, 23, 89] Operation: 77+12=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[96, 23, 89], Operations: ['77+12=89']
Exploring Operation: 96-89=7, Resulting Numbers: [23, 7]
Generated Node #0,0,0: 92:[23, 7] Operation: 96-89=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[23, 7], Operations: ['77+12=89', '96-89=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
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