Datasets:
AlexDunstan
/
nash-equilibria-matrices

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1
r0c0_p1
int8
r0c0_p2
int8
r0c1_p1
int8
r0c1_p2
int8
r1c0_p1
int8
r1c0_p2
int8
r1c1_p1
int8
r1c1_p2
int8
num_equilibria
int8
equilibrium_positions
string
category
string
p1_has_dominant
bool
p2_has_dominant
bool
both_dominant
bool
is_zero_sum
bool
is_symmetric
bool
has_pareto_dom_ne
bool
all_ne_pareto_eff
bool
max_welfare
int16
ne_welfare
string
welfare_loss
int16
mixed_exists
bool
mixed_p
float64
mixed_q
float64
mixed_payoff_p1
float64
mixed_payoff_p2
float64
ne_p1_payoffs
string
ne_p2_payoffs
string
ne_payoff_diffs
string
ne_has_equal_payoffs
bool
ne_mean_abs_diff
float64
game_type
string
0
0
0
0
0
0
0
0
4
[(0, 0), (0, 1), (1, 0), (1, 1)]
Solved
true
true
true
true
true
false
true
0
[0, 0, 0, 0]
0
false
null
null
null
null
[0, 0, 0, 0]
[0, 0, 0, 0]
[0, 0, 0, 0]
true
0
Zero-Sum
0
0
0
0
0
0
0
1
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
1
[0, 0, 1]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 1]
[0, 0, -1]
true
0.333333
Harmony
0
0
0
0
0
0
0
2
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
2
[0, 0, 2]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 2]
[0, 0, -2]
true
0.666667
Harmony
0
0
0
0
0
0
0
3
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
3
[0, 0, 3]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 3]
[0, 0, -3]
true
1
Harmony
0
0
0
0
0
0
0
4
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
4
[0, 0, 4]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 4]
[0, 0, -4]
true
1.333333
Harmony
0
0
0
0
0
0
0
5
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
5
[0, 0, 5]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 5]
[0, 0, -5]
true
1.666667
Harmony
0
0
0
0
0
0
0
6
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
6
[0, 0, 6]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 6]
[0, 0, -6]
true
2
Harmony
0
0
0
0
0
0
0
7
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 0, 7]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 7]
[0, 0, -7]
true
2.333333
Harmony
0
0
0
0
0
0
0
8
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 0, 8]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 8]
[0, 0, -8]
true
2.666667
Harmony
0
0
0
0
0
0
0
9
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 0, 9]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 9]
[0, 0, -9]
true
3
Harmony
0
0
0
0
0
0
0
10
3
[(0, 0), (0, 1), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 0, 10]
0
false
null
null
null
null
[0, 0, 0]
[0, 0, 10]
[0, 0, -10]
true
3.333333
Harmony
0
0
0
0
0
0
1
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
1
[0, 0, 1]
0
false
null
null
null
null
[0, 0, 1]
[0, 0, 0]
[0, 0, 1]
true
0.333333
Harmony
0
0
0
0
0
0
1
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
2
[0, 2]
0
false
null
null
null
null
[0, 1]
[0, 1]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
1
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
3
[0, 3]
0
false
null
null
null
null
[0, 1]
[0, 2]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
1
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
4
[0, 4]
0
false
null
null
null
null
[0, 1]
[0, 3]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
1
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
5
[0, 5]
0
false
null
null
null
null
[0, 1]
[0, 4]
[0, -3]
true
1.5
Harmony
0
0
0
0
0
0
1
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
6
[0, 6]
0
false
null
null
null
null
[0, 1]
[0, 5]
[0, -4]
true
2
Harmony
0
0
0
0
0
0
1
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 7]
0
false
null
null
null
null
[0, 1]
[0, 6]
[0, -5]
true
2.5
Harmony
0
0
0
0
0
0
1
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 8]
0
false
null
null
null
null
[0, 1]
[0, 7]
[0, -6]
true
3
Harmony
0
0
0
0
0
0
1
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 1]
[0, 8]
[0, -7]
true
3.5
Harmony
0
0
0
0
0
0
1
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 1]
[0, 9]
[0, -8]
true
4
Harmony
0
0
0
0
0
0
1
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 1]
[0, 10]
[0, -9]
true
4.5
Harmony
0
0
0
0
0
0
2
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
2
[0, 0, 2]
0
false
null
null
null
null
[0, 0, 2]
[0, 0, 0]
[0, 0, 2]
true
0.666667
Harmony
0
0
0
0
0
0
2
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
3
[0, 3]
0
false
null
null
null
null
[0, 2]
[0, 1]
[0, 1]
true
0.5
Harmony
0
0
0
0
0
0
2
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
4
[0, 4]
0
false
null
null
null
null
[0, 2]
[0, 2]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
2
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
5
[0, 5]
0
false
null
null
null
null
[0, 2]
[0, 3]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
2
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
6
[0, 6]
0
false
null
null
null
null
[0, 2]
[0, 4]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
2
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 7]
0
false
null
null
null
null
[0, 2]
[0, 5]
[0, -3]
true
1.5
Harmony
0
0
0
0
0
0
2
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 8]
0
false
null
null
null
null
[0, 2]
[0, 6]
[0, -4]
true
2
Harmony
0
0
0
0
0
0
2
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 2]
[0, 7]
[0, -5]
true
2.5
Harmony
0
0
0
0
0
0
2
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 2]
[0, 8]
[0, -6]
true
3
Harmony
0
0
0
0
0
0
2
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 2]
[0, 9]
[0, -7]
true
3.5
Harmony
0
0
0
0
0
0
2
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
12
[0, 12]
0
false
null
null
null
null
[0, 2]
[0, 10]
[0, -8]
true
4
Harmony
0
0
0
0
0
0
3
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
3
[0, 0, 3]
0
false
null
null
null
null
[0, 0, 3]
[0, 0, 0]
[0, 0, 3]
true
1
Harmony
0
0
0
0
0
0
3
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
4
[0, 4]
0
false
null
null
null
null
[0, 3]
[0, 1]
[0, 2]
true
1
Harmony
0
0
0
0
0
0
3
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
5
[0, 5]
0
false
null
null
null
null
[0, 3]
[0, 2]
[0, 1]
true
0.5
Harmony
0
0
0
0
0
0
3
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
6
[0, 6]
0
false
null
null
null
null
[0, 3]
[0, 3]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
3
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 7]
0
false
null
null
null
null
[0, 3]
[0, 4]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
3
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 8]
0
false
null
null
null
null
[0, 3]
[0, 5]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
3
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 3]
[0, 6]
[0, -3]
true
1.5
Harmony
0
0
0
0
0
0
3
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 3]
[0, 7]
[0, -4]
true
2
Harmony
0
0
0
0
0
0
3
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 3]
[0, 8]
[0, -5]
true
2.5
Harmony
0
0
0
0
0
0
3
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
12
[0, 12]
0
false
null
null
null
null
[0, 3]
[0, 9]
[0, -6]
true
3
Harmony
0
0
0
0
0
0
3
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
13
[0, 13]
0
false
null
null
null
null
[0, 3]
[0, 10]
[0, -7]
true
3.5
Harmony
0
0
0
0
0
0
4
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
4
[0, 0, 4]
0
false
null
null
null
null
[0, 0, 4]
[0, 0, 0]
[0, 0, 4]
true
1.333333
Harmony
0
0
0
0
0
0
4
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
5
[0, 5]
0
false
null
null
null
null
[0, 4]
[0, 1]
[0, 3]
true
1.5
Harmony
0
0
0
0
0
0
4
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
6
[0, 6]
0
false
null
null
null
null
[0, 4]
[0, 2]
[0, 2]
true
1
Harmony
0
0
0
0
0
0
4
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 7]
0
false
null
null
null
null
[0, 4]
[0, 3]
[0, 1]
true
0.5
Harmony
0
0
0
0
0
0
4
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
8
[0, 8]
0
false
null
null
null
null
[0, 4]
[0, 4]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
4
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 4]
[0, 5]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
4
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 4]
[0, 6]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
4
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 4]
[0, 7]
[0, -3]
true
1.5
Harmony
0
0
0
0
0
0
4
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
12
[0, 12]
0
false
null
null
null
null
[0, 4]
[0, 8]
[0, -4]
true
2
Harmony
0
0
0
0
0
0
4
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
13
[0, 13]
0
false
null
null
null
null
[0, 4]
[0, 9]
[0, -5]
true
2.5
Harmony
0
0
0
0
0
0
4
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
14
[0, 14]
0
false
null
null
null
null
[0, 4]
[0, 10]
[0, -6]
true
3
Harmony
0
0
0
0
0
0
5
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
5
[0, 0, 5]
0
false
null
null
null
null
[0, 0, 5]
[0, 0, 0]
[0, 0, 5]
true
1.666667
Harmony
0
0
0
0
0
0
5
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
6
[0, 6]
0
false
null
null
null
null
[0, 5]
[0, 1]
[0, 4]
true
2
Harmony
0
0
0
0
0
0
5
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 7]
0
false
null
null
null
null
[0, 5]
[0, 2]
[0, 3]
true
1.5
Harmony
0
0
0
0
0
0
5
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 8]
0
false
null
null
null
null
[0, 5]
[0, 3]
[0, 2]
true
1
Harmony
0
0
0
0
0
0
5
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 5]
[0, 4]
[0, 1]
true
0.5
Harmony
0
0
0
0
0
0
5
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 5]
[0, 5]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
5
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 5]
[0, 6]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
5
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
12
[0, 12]
0
false
null
null
null
null
[0, 5]
[0, 7]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
5
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
13
[0, 13]
0
false
null
null
null
null
[0, 5]
[0, 8]
[0, -3]
true
1.5
Harmony
0
0
0
0
0
0
5
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
14
[0, 14]
0
false
null
null
null
null
[0, 5]
[0, 9]
[0, -4]
true
2
Harmony
0
0
0
0
0
0
5
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
15
[0, 15]
0
false
null
null
null
null
[0, 5]
[0, 10]
[0, -5]
true
2.5
Harmony
0
0
0
0
0
0
6
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
6
[0, 0, 6]
0
false
null
null
null
null
[0, 0, 6]
[0, 0, 0]
[0, 0, 6]
true
2
Harmony
0
0
0
0
0
0
6
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 7]
0
false
null
null
null
null
[0, 6]
[0, 1]
[0, 5]
true
2.5
Harmony
0
0
0
0
0
0
6
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 8]
0
false
null
null
null
null
[0, 6]
[0, 2]
[0, 4]
true
2
Harmony
0
0
0
0
0
0
6
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 6]
[0, 3]
[0, 3]
true
1.5
Harmony
0
0
0
0
0
0
6
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 6]
[0, 4]
[0, 2]
true
1
Harmony
0
0
0
0
0
0
6
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 6]
[0, 5]
[0, 1]
true
0.5
Harmony
0
0
0
0
0
0
6
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
12
[0, 12]
0
false
null
null
null
null
[0, 6]
[0, 6]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
6
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
13
[0, 13]
0
false
null
null
null
null
[0, 6]
[0, 7]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
6
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
14
[0, 14]
0
false
null
null
null
null
[0, 6]
[0, 8]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
6
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
15
[0, 15]
0
false
null
null
null
null
[0, 6]
[0, 9]
[0, -3]
true
1.5
Harmony
0
0
0
0
0
0
6
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
16
[0, 16]
0
false
null
null
null
null
[0, 6]
[0, 10]
[0, -4]
true
2
Harmony
0
0
0
0
0
0
7
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
7
[0, 0, 7]
0
false
null
null
null
null
[0, 0, 7]
[0, 0, 0]
[0, 0, 7]
true
2.333333
Harmony
0
0
0
0
0
0
7
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 8]
0
false
null
null
null
null
[0, 7]
[0, 1]
[0, 6]
true
3
Harmony
0
0
0
0
0
0
7
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 7]
[0, 2]
[0, 5]
true
2.5
Harmony
0
0
0
0
0
0
7
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 7]
[0, 3]
[0, 4]
true
2
Harmony
0
0
0
0
0
0
7
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 7]
[0, 4]
[0, 3]
true
1.5
Harmony
0
0
0
0
0
0
7
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
12
[0, 12]
0
false
null
null
null
null
[0, 7]
[0, 5]
[0, 2]
true
1
Harmony
0
0
0
0
0
0
7
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
13
[0, 13]
0
false
null
null
null
null
[0, 7]
[0, 6]
[0, 1]
true
0.5
Harmony
0
0
0
0
0
0
7
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
14
[0, 14]
0
false
null
null
null
null
[0, 7]
[0, 7]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
7
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
15
[0, 15]
0
false
null
null
null
null
[0, 7]
[0, 8]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
7
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
16
[0, 16]
0
false
null
null
null
null
[0, 7]
[0, 9]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
7
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
17
[0, 17]
0
false
null
null
null
null
[0, 7]
[0, 10]
[0, -3]
true
1.5
Harmony
0
0
0
0
0
0
8
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
8
[0, 0, 8]
0
false
null
null
null
null
[0, 0, 8]
[0, 0, 0]
[0, 0, 8]
true
2.666667
Harmony
0
0
0
0
0
0
8
1
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 9]
0
false
null
null
null
null
[0, 8]
[0, 1]
[0, 7]
true
3.5
Harmony
0
0
0
0
0
0
8
2
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
10
[0, 10]
0
false
null
null
null
null
[0, 8]
[0, 2]
[0, 6]
true
3
Harmony
0
0
0
0
0
0
8
3
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
11
[0, 11]
0
false
null
null
null
null
[0, 8]
[0, 3]
[0, 5]
true
2.5
Harmony
0
0
0
0
0
0
8
4
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
12
[0, 12]
0
false
null
null
null
null
[0, 8]
[0, 4]
[0, 4]
true
2
Harmony
0
0
0
0
0
0
8
5
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
13
[0, 13]
0
false
null
null
null
null
[0, 8]
[0, 5]
[0, 3]
true
1.5
Harmony
0
0
0
0
0
0
8
6
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
14
[0, 14]
0
false
null
null
null
null
[0, 8]
[0, 6]
[0, 2]
true
1
Harmony
0
0
0
0
0
0
8
7
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
15
[0, 15]
0
false
null
null
null
null
[0, 8]
[0, 7]
[0, 1]
true
0.5
Harmony
0
0
0
0
0
0
8
8
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
true
true
false
16
[0, 16]
0
false
null
null
null
null
[0, 8]
[0, 8]
[0, 0]
true
0
Harmony
0
0
0
0
0
0
8
9
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
17
[0, 17]
0
false
null
null
null
null
[0, 8]
[0, 9]
[0, -1]
true
0.5
Harmony
0
0
0
0
0
0
8
10
2
[(0, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
18
[0, 18]
0
false
null
null
null
null
[0, 8]
[0, 10]
[0, -2]
true
1
Harmony
0
0
0
0
0
0
9
0
3
[(0, 0), (1, 0), (1, 1)]
Solved
true
true
true
false
false
true
false
9
[0, 0, 9]
0
false
null
null
null
null
[0, 0, 9]
[0, 0, 0]
[0, 0, 9]
true
3
Harmony