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4: candids: [5.9, 0.0, 0.0] majority ans: None
4: candids: [5.9, 0.0, 0.0] majority ans: 5.9
2: candids: [41.81, 41.81, 41.81] majority ans: 41.81
2: candids: [41.81, 41.81, 41.81] majority ans: 41.81
7: candids: [100.0, 100.0, 100.0] majority ans: 100.0
7: candids: [100.0, 100.0, 100.0] majority ans: 100.0
6: candids: [8.0, 0.62, 0.62] majority ans: 0.62
6: candids: [8.0, 0.62, 0.62] majority ans: 8.0
17: candids: [0.01, 0.01, 0.01] majority ans: 0.01
17: candids: [0.01, 0.01, 0.01] majority ans: 0.01
33: candids: [31.0, 9.375, 9.375] majority ans: 9.375
33: candids: [31.0, 9.375, 9.375] majority ans: 31.0
47: candids: [0.001, 0.0, 0.0] majority ans: None
47: candids: [0.001, 0.0, 0.0] majority ans: 0.001
65: candids: [2.0, 3.9999999999999996, 3.9999999999999996] majority ans: 3.9999999999999996
65: candids: [2.0, 3.9999999999999996, 3.9999999999999996] majority ans: 2.0
66: candids: [3.0, 1.9999999999999998, 1.9999999999999998] majority ans: 1.9999999999999998
66: candids: [3.0, 1.9999999999999998, 1.9999999999999998] majority ans: 1.9999999999999998
98: candids: [2.0, -1.9999999999999996, -1.9999999999999996] majority ans: None
98: candids: [2.0, -1.9999999999999996, -1.9999999999999996] majority ans: 2.0
130: candids: [100.0, 100.0, 100.0] majority ans: 100.0
130: candids: [100.0, 100.0, 100.0] majority ans: 100.0
136: candids: [1.0, 100000000000.0, 100000000000.0] majority ans: 100000000000.0
136: candids: [1.0, 100000000000.0, 100000000000.0] majority ans: 1.0
134: candids: [1.0, 0.05, 0.05] majority ans: 0.05
134: candids: [1.0, 0.05, 0.05] majority ans: 1.0
151: candids: [555.0, 555.0, 555.0] majority ans: 555.0
151: candids: [555.0, 555.0, 555.0] majority ans: 555.0
181: candids: [800.0, 1.55, 1.55] majority ans: 1.55
181: candids: [800.0, 1.55, 1.55] majority ans: 1.55
169: candids: [1.0, 1.0, 1.0] majority ans: 1.0
169: candids: [1.0, 1.0, 1.0] majority ans: 1.0
263: candids: [27.0, 0.0, 0.0] majority ans: None
263: candids: [27.0, 0.0, 0.0] majority ans: 0.0
271: candids: [None, 1.067205864189914e+16, 1.067205864189914e+16] majority ans: 1.067205864189914e+16
271: candids: [None, 1.067205864189914e+16, 1.067205864189914e+16] majority ans: 1.067205864189914e+16
165: candids: [5.14, 5.14, 5.14] majority ans: 5.14
165: candids: [5.14, 5.14, 5.14] majority ans: 5.14
269: candids: [10.0, 10.3, -10.4] majority ans: None
269: candids: [10.0, 10.3, -10.4] majority ans: -10.4
34: candids: [0.0604, 0.06039438628210555, 0.060394335269149814] majority ans: 0.06039438628210555
34: candids: [0.0604, 0.06039438628210555, 0.060394335269149814] majority ans: 0.0604






1: candids: [5.0, 4.453207586463532e+33, 4.453207586463532e+48] majority ans: None
1: candids: [5.0, 4.453207586463532e+33, 4.453207586463532e+48] majority ans: 5.0
0: candids: [None, 0.001969553915895062, 0.241660973353061] majority ans: None
0: candids: [None, 0.001969553915895062, 0.241660973353061] majority ans: 0.241660973353061
3: candids: [7.055, -7.047240234181186, -9.614393726401687] majority ans: None
3: candids: [7.055, -7.047240234181186, -9.614393726401687] majority ans: 7.055
5: candids: [1.0, '\x07rcsin{\\left(\x0crac{1}{1.3}\right)}', 0.8776364192181427] majority ans: None
5: candids: [1.0, '\x07rcsin{\\left(\x0crac{1}{1.3}\right)}', 0.8776364192181427] majority ans: 1.0
8: candids: [0.0249, 0.021934810768762875, 0.021500429404793922] majority ans: None
8: candids: [0.0249, 0.021934810768762875, 0.021500429404793922] majority ans: 0.0249
9: candids: [9.92, -6561.12, -9.71] majority ans: None
9: candids: [9.92, -6561.12, -9.71] majority ans: -6561.12
10: candids: [35.0, 3.83e+35, 3.83e+31] majority ans: None
10: candids: [35.0, 3.83e+35, 3.83e+31] majority ans: 3.83e+35
11: candids: [299.7, 299.58058717795086, 277.74] majority ans: None
11: candids: [299.7, 299.58058717795086, 277.74] majority ans: 299.58058717795086
13: candids: [None, 0.9836553504908039, 870662937.5736979] majority ans: None
13: candids: [None, 0.9836553504908039, 870662937.5736979] majority ans: 0.9836553504908039
14: candids: [0.003, 0.0, 687.6] majority ans: None
14: candids: [0.003, 0.0, 687.6] majority ans: 687.6
15: candids: [33.0, 3.9509416005873006e+33, 4e+26] majority ans: None
15: candids: [33.0, 3.9509416005873006e+33, 4e+26] majority ans: 33.0
16: candids: [8.0, 1.2406897255382102e-05, 1.2406897255382102e-05] majority ans: 1.2406897255382102e-05
16: candids: [8.0, 1.2406897255382102e-05, 1.2406897255382102e-05] majority ans: 1.2406897255382102e-05
18: candids: [12.0, 3275000000000.0, 3275000000000.0] majority ans: 3275000000000.0
18: candids: [12.0, 3275000000000.0, 3275000000000.0] majority ans: 12.0
19: candids: [20.0, 25.0, -50005.0] majority ans: None
19: candids: [20.0, 25.0, -50005.0] majority ans: 20.0
20: candids: [5908.5, 6630.65, 6630.65] majority ans: 6630.65
20: candids: [5908.5, 6630.65, 6630.65] majority ans: 5908.5
21: candids: [0.000120588235, 1.2133235294117646, 1.4802533154203383] majority ans: None
21: candids: [0.000120588235, 1.2133235294117646, 1.4802533154203383] majority ans: 1.4802533154203383
22: candids: [4.0, None, 513999401844.1] majority ans: None
22: candids: [4.0, None, 513999401844.1] majority ans: 513999401844.1
23: candids: [None, 5.628202851702887e+68, 0.0] majority ans: None
23: candids: [None, 5.628202851702887e+68, 0.0] majority ans: None
24: candids: [None, 48.4814, 48.481368110953596] majority ans: 48.4814
24: candids: [None, 48.4814, 48.481368110953596] majority ans: 48.481368110953596
26: candids: [0.0, 'Eq(E(t), C1 - 4*G*M**2*t/R_initial**2)', None] majority ans: None
26: candids: [0.0, 'Eq(E(t), C1 - 4*G*M**2*t/R_initial**2)', None] majority ans: 0.0
29: candids: [2.0, -1.505149978319906, None] majority ans: None
29: candids: [2.0, -1.505149978319906, None] majority ans: 2.0
30: candids: [0.0, 6.472086375185664, '<function solution.<locals>.rotation_curve at 0x15787d080>'] majority ans: None
30: candids: [0.0, 6.472086375185664, '<function solution.<locals>.rotation_curve at 0x15787d080>'] majority ans: 0.0
31: candids: [6.0, 41940.546029239966, 225.70935059505746] majority ans: None
31: candids: [6.0, 41940.546029239966, 225.70935059505746] majority ans: 225.70935059505746
32: candids: [27.39, 20.385606273598313, -9.614393726401687] majority ans: None
32: candids: [27.39, 20.385606273598313, -9.614393726401687] majority ans: 27.39
36: candids: [1.0, 0.14770632775277023, 1.0] majority ans: 1.0
36: candids: [1.0, 0.14770632775277023, 1.0] majority ans: 1.0
37: candids: [None, 0.0, 139200000000.0] majority ans: None
37: candids: [None, 0.0, 139200000000.0] majority ans: 139200000000.0
38: candids: [None, None, None] majority ans: None
38: candids: [None, None, None] majority ans: None
39: candids: [0.0334, 0.03335872048743336, 0.03335872048743336] majority ans: 0.03335872048743336
39: candids: [0.0334, 0.03335872048743336, 0.03335872048743336] majority ans: 0.0334
40: candids: [13.0, 98601916.152776, 1.681602725795027e-13] majority ans: None
40: candids: [13.0, 98601916.152776, 1.681602725795027e-13] majority ans: 13.0
41: candids: [2.0, 'v0/(r0*(r/r0 + 1)**1.5)', '<function solution.<locals>.omega at 0x150158c20>'] majority ans: None
41: candids: [2.0, 'v0/(r0*(r/r0 + 1)**1.5)', '<function solution.<locals>.omega at 0x150158c20>'] majority ans: 2.0
42: candids: [12.0, 8.254777070063695e+23, 2999724980026.038] majority ans: None
42: candids: [12.0, 8.254777070063695e+23, 2999724980026.038] majority ans: 12.0
43: candids: [2.0, 0.0, 0.0] majority ans: None
43: candids: [2.0, 0.0, 0.0] majority ans: 0.0
44: candids: [1e-05, 0.01, 1e-05] majority ans: 1e-05
44: candids: [1e-05, 0.01, 1e-05] majority ans: 1e-05
45: candids: [5.0, 5.0, 5.0] majority ans: 5.0
45: candids: [5.0, 5.0, 5.0] majority ans: 5.0
46: candids: [3906250000.0, 15625.0, None] majority ans: None
46: candids: [3906250000.0, 15625.0, None] majority ans: 3906250000.0
48: candids: [0.0, 3.0, 2.0] majority ans: None
48: candids: [0.0, 3.0, 2.0] majority ans: 0.0
50: candids: [6.0, 2.777777777777778e-06, 2.777777777777778e-06] majority ans: 2.777777777777778e-06
50: candids: [6.0, 2.777777777777778e-06, 2.777777777777778e-06] majority ans: 6.0
51: candids: [6.0, 23.0, 8000000.0] majority ans: None
51: candids: [6.0, 23.0, 8000000.0] majority ans: 6.0
52: candids: [48.3, 4.83, 48300000000.0] majority ans: None
52: candids: [48.3, 4.83, 48300000000.0] majority ans: 48.3
53: candids: [4.0, 16.0, 4.0] majority ans: 4.0
53: candids: [4.0, 16.0, 4.0] majority ans: 4.0
54: candids: [0.192, 0.19207440355843103, 0.19207440355843103] majority ans: 0.19207440355843103
54: candids: [0.192, 0.19207440355843103, 0.19207440355843103] majority ans: 0.192
55: candids: [3.58, None, 3.643856189774725] majority ans: None
55: candids: [3.58, None, 3.643856189774725] majority ans: 3.58
56: candids: [11000.0, 6000.0, 6000.0] majority ans: 6000.0
56: candids: [11000.0, 6000.0, 6000.0] majority ans: 11000.0
57: candids: [0.53, 0.53, 0.5331901388922656] majority ans: 0.53
57: candids: [0.53, 0.53, 0.5331901388922656] majority ans: 0.53
58: candids: [1.0, 6000.0, 15000.0] majority ans: None
58: candids: [1.0, 6000.0, 15000.0] majority ans: 1.0
59: candids: [1538.46, 1538.4615384615386, 1538.4615384615386] majority ans: 1538.46
59: candids: [1538.46, 1538.4615384615386, 1538.4615384615386] majority ans: 1538.46
60: candids: [2202647.0, 44241339.0, 414265.0] majority ans: None
60: candids: [2202647.0, 44241339.0, 414265.0] majority ans: 2202647.0
61: candids: [0.0, 'I(0)', 'c represents the initial condition I(0), which is the value of the current at time t=0.'] majority ans: 0.0
61: candids: [0.0, 'I(0)', 'c represents the initial condition I(0), which is the value of the current at time t=0.'] majority ans: 0.0
63: candids: [None, None, None] majority ans: None
63: candids: [None, None, None] majority ans: None
64: candids: [None, 'dx/dt = k * x - a', 'dx/dt = k * x(t) - a'] majority ans: None
64: candids: [None, 'dx/dt = k * x - a', 'dx/dt = k * x(t) - a'] majority ans: None
67: candids: [1.0, '(1.0000000000000002+1.7320508075688772j)', '(1.0000000000000002, 1.7320508075688772)'] majority ans: None
67: candids: [1.0, '(1.0000000000000002+1.7320508075688772j)', '(1.0000000000000002, 1.7320508075688772)'] majority ans: 1.0
68: candids: [1.0, None, 0.0] majority ans: None
68: candids: [1.0, None, 0.0] majority ans: None
69: candids: [None, -0.875, -0.88] majority ans: None
69: candids: [None, -0.875, -0.88] majority ans: -0.88
71: candids: [0.0, 'exp(a*t)/(2*a) - exp(-a*t)/(2*a)', None] majority ans: None
71: candids: [0.0, 'exp(a*t)/(2*a) - exp(-a*t)/(2*a)', None] majority ans: None
73: candids: [3.0, 1.0471975511965976, '0j'] majority ans: None
73: candids: [3.0, 1.0471975511965976, '0j'] majority ans: 3.0
74: candids: [1.0, 0.3333333333333333, None] majority ans: None
74: candids: [1.0, 0.3333333333333333, None] majority ans: 1.0
75: candids: [2.0, '1 / (4 - ω^2)', -1.7320508075688772] majority ans: None
75: candids: [2.0, '1 / (4 - ω^2)', -1.7320508075688772] majority ans: 2.0
76: candids: [4.0, 'Eq(x(t), C1*exp(-t) + C2*exp(t) + C3*sin(t) + C4*cos(t) + cos(2*t)/15)', 'C1*e^(1t) + C2*e^(-1t) + C3*e^(1jt) + C4*e^((-0-1j)t) + 0*cos(2t) + 0.06666666666666667*sin(2t)'] majority ans: None
76: candids: [4.0, 'Eq(x(t), C1*exp(-t) + C2*exp(t) + C3*sin(t) + C4*cos(t) + cos(2*t)/15)', 'C1*e^(1t) + C2*e^(-1t) + C3*e^(1jt) + C4*e^((-0-1j)t) + 0*cos(2t) + 0.06666666666666667*sin(2t)'] majority ans: 4.0
77: candids: [2.0, '-1/(ω**2 - 4)', '-1/(omega**2 - 4)'] majority ans: None
77: candids: [2.0, '-1/(ω**2 - 4)', '-1/(omega**2 - 4)'] majority ans: 2.0
78: candids: [None, 'k0*(sin(k2*t) + cos(k1*t))', 'A * exp(-2 * t) + f(t) * cos(2 * t) + g(t) * sin(2 * t)'] majority ans: None
78: candids: [None, 'k0*(sin(k2*t) + cos(k1*t))', 'A * exp(-2 * t) + f(t) * cos(2 * t) + g(t) * sin(2 * t)'] majority ans: None
80: candids: [2.0, 'C1*exp(-2*x) + x/2 - 1/4', 'y = (1/3)((x/2) + C1)e^(-t)'] majority ans: None
80: candids: [2.0, 'C1*exp(-2*x) + x/2 - 1/4', 'y = (1/3)((x/2) + C1)e^(-t)'] majority ans: C1*exp(-2*x) + x/2 - 1/4
81: candids: [4.0, None, 'x(t) = C1 * exp(t) + C2 * exp(-t) + C3 * cos(t) + C4 * sin(t)'] majority ans: None
81: candids: [4.0, None, 'x(t) = C1 * exp(t) + C2 * exp(-t) + C3 * cos(t) + C4 * sin(t)'] majority ans: 4.0
82: candids: [2.0, None, 's^2 + ω^2'] majority ans: None
82: candids: [2.0, None, 's^2 + ω^2'] majority ans: 2.0
83: candids: [3.0, '(1.7320508075688772, 3.141592653589793, 1.0471975511965979)', 'A cos(ωt - φ)'] majority ans: None
83: candids: [3.0, '(1.7320508075688772, 3.141592653589793, 1.0471975511965979)', 'A cos(ωt - φ)'] majority ans: 3.0
84: candids: [2.0, 1.5707963267948966, None] majority ans: None
84: candids: [2.0, 1.5707963267948966, None] majority ans: 2.0
85: candids: [4.0, None, '(-I*C1*(exp(sqrt(7)*I*t/2) - exp(-sqrt(7)*I*t/2))/2 + C2*(exp(sqrt(7)*I*t/2)/2 + exp(-sqrt(7)*I*t/2)/2) + exp(3*t/2)*re(A*exp(2*I*t)))*exp(-3*t/2)'] majority ans: None
85: candids: [4.0, None, '(-I*C1*(exp(sqrt(7)*I*t/2) - exp(-sqrt(7)*I*t/2))/2 + C2*(exp(sqrt(7)*I*t/2)/2 + exp(-sqrt(7)*I*t/2)/2) + exp(3*t/2)*re(A*exp(2*I*t)))*exp(-3*t/2)'] majority ans: (-I*C1*(exp(sqrt(7)*I*t/2) - exp(-sqrt(7)*I*t/2))/2 + C2*(exp(sqrt(7)*I*t/2)/2 + exp(-sqrt(7)*I*t/2)/2) + exp(3*t/2)*re(A*exp(2*I*t)))*exp(-3*t/2)
87: candids: [2.0, '(exp(2*I*t) - Derivative(w*exp(t), t))*exp(-t)/2', '(0.5-0.5j)'] majority ans: None
87: candids: [2.0, '(exp(2*I*t) - Derivative(w*exp(t), t))*exp(-t)/2', '(0.5-0.5j)'] majority ans: 2.0
89: candids: [1.0, 'dx/dt = 0', None] majority ans: None
89: candids: [1.0, 'dx/dt = 0', None] majority ans: 1.0
90: candids: [0.0, 'Eq(x(t), C1*exp(-t) + C2*exp(t) - t**2 - t - 3)', 't**2*(Derivative(a2(t), (t, 2)) - 1) + t*(Derivative(a1(t), (t, 2)) + 4*Derivative(a2(t), (t, 3)) - 1) + Derivative(a0(t), (t, 2)) + 2*Derivative(a1(t), (t, 3)) + 10*Derivative(a2(t), (t, 4)) - 3'] majority ans: None
90: candids: [0.0, 'Eq(x(t), C1*exp(-t) + C2*exp(t) - t**2 - t - 3)', 't**2*(Derivative(a2(t), (t, 2)) - 1) + t*(Derivative(a1(t), (t, 2)) + 4*Derivative(a2(t), (t, 3)) - 1) + Derivative(a0(t), (t, 2)) + 2*Derivative(a1(t), (t, 3)) + 10*Derivative(a2(t), (t, 4)) - 3'] majority ans: Eq(x(t), C1*exp(-t) + C2*exp(t) - t**2 - t - 3)
91: candids: [3.0, '(-7.999999999999998+9.797174393178824e-16j)', '(-7.999999999999997, 9.797174393178822e-16)'] majority ans: None
91: candids: [3.0, '(-7.999999999999998+9.797174393178824e-16j)', '(-7.999999999999997, 9.797174393178822e-16)'] majority ans: 3.0
92: candids: [0.0, 'Eq(x(t), C1*exp(-t) + C2*exp(t) + C3*sin(t) + C4*cos(t) + cos(2*t)/15)', None] majority ans: None
92: candids: [0.0, 'Eq(x(t), C1*exp(-t) + C2*exp(t) + C3*sin(t) + C4*cos(t) + cos(2*t)/15)', None] majority ans: None
93: candids: [3.0, '(-1.9999999999999993+3.464101615137755j)', '0.02 + 0.12i'] majority ans: None
93: candids: [3.0, '(-1.9999999999999993+3.464101615137755j)', '0.02 + 0.12i'] majority ans: 3.0
94: candids: [2.0, None, '("x\'\' + 4x = cos(2t)", \'D^2x + 4x = cos(2t)\', \'p(D) = D^2 + 4\', \'r = ±2i\', "x_p = A * (t * e^(rt)) / p\'(r)", \'x_p = A * (t * e^(2it)) / (2i)\', \'x(t) = x_h + x_p\', \'A\', \'Substitute x(t) into the differential equation and check if it satisfies the equation.\')'] majority ans: 2.0
94: candids: [2.0, None, '("x\'\' + 4x = cos(2t)", \'D^2x + 4x = cos(2t)\', \'p(D) = D^2 + 4\', \'r = ±2i\', "x_p = A * (t * e^(rt)) / p\'(r)", \'x_p = A * (t * e^(2it)) / (2i)\', \'x(t) = x_h + x_p\', \'A\', \'Substitute x(t) into the differential equation and check if it satisfies the equation.\')'] majority ans: 2.0
95: candids: [1.0, 'exp(a*t)/2 + exp(-a*t)/2', None] majority ans: None
95: candids: [1.0, 'exp(a*t)/2 + exp(-a*t)/2', None] majority ans: 1.0
96: candids: [2.0, 'C1*exp(-2*t) + c + exp(t)/3', '(c - exp(-t))*exp(-2*t)'] majority ans: None
96: candids: [2.0, 'C1*exp(-2*t) + c + exp(t)/3', '(c - exp(-t))*exp(-2*t)'] majority ans: 2.0
100: candids: [None, None, None] majority ans: None
100: candids: [None, None, None] majority ans: None
101: candids: [3.0, 'f0(t) + C1*f1(t) + C2*f2(t)', 'c1 * cos(2*t) + c2 * sin(2*t) + c1 * cos(2*t) + c2 * sin(2*t)'] majority ans: None
101: candids: [3.0, 'f0(t) + C1*f1(t) + C2*f2(t)', 'c1 * cos(2*t) + c2 * sin(2*t) + c1 * cos(2*t) + c2 * sin(2*t)'] majority ans: c1 * cos(2*t) + c2 * sin(2*t) + c1 * cos(2*t) + c2 * sin(2*t)
102: candids: [2.0, None, 1.570795] majority ans: None
102: candids: [2.0, None, 1.570795] majority ans: 2.0
103: candids: [2.0, None, 's^2 + b*s + 1'] majority ans: None
103: candids: [2.0, None, 's^2 + b*s + 1'] majority ans: 2.0
104: candids: [37.0, '37/4 * m', None] majority ans: None
104: candids: [37.0, '37/4 * m', None] majority ans: 37.0
105: candids: [3.0, None, '(-8.000000000000005, -13.856406460551012)'] majority ans: None
105: candids: [3.0, None, '(-8.000000000000005, -13.856406460551012)'] majority ans: 3.0
106: candids: [2.0, '(1.4142135623730951, 1, 0.7853981633974483)', None] majority ans: None
106: candids: [2.0, '(1.4142135623730951, 1, 0.7853981633974483)', None] majority ans: None
107: candids: [2.0, '𝚋 = 2√𝚖𝚔', None] majority ans: 2.0
107: candids: [2.0, '𝚋 = 2√𝚖𝚔', None] majority ans: 2.0
108: candids: [4.0, 'Eq(z(t), (1/4 + I/4)*(C*exp(-2*t) - I*exp(2*I*t)))', 'z = (e^(2it))/(4i) + C/(e^(2t))'] majority ans: 4.0
108: candids: [4.0, 'Eq(z(t), (1/4 + I/4)*(C*exp(-2*t) - I*exp(2*I*t)))', 'z = (e^(2it))/(4i) + C/(e^(2t))'] majority ans: 4.0
109: candids: [0.0, None, 4.605170185988091] majority ans: None
109: candids: [0.0, None, 4.605170185988091] majority ans: 0.0
110: candids: [0.1, '2.30258509299405*tau', '-tau * ln(0.8)'] majority ans: None
110: candids: [0.1, '2.30258509299405*tau', '-tau * ln(0.8)'] majority ans: 0.1
111: candids: [1.0, '(1/(a + s), -re(a), True)', 'Y(s) = 1 / (s + a)'] majority ans: None
111: candids: [1.0, '(1/(a + s), -re(a), True)', 'Y(s) = 1 / (s + a)'] majority ans: 1.0
113: candids: [None, '(1/(s + 1) - exp(-1)*exp(-s)/(s + 1) - exp(-1)/s + exp(-1)*exp(-s)/s, 0, True)', 'X(s) = 1/(s+1) - 2*e^(-1)/s + (e^(-1)*e^(-s))/s'] majority ans: None
113: candids: [None, '(1/(s + 1) - exp(-1)*exp(-s)/(s + 1) - exp(-1)/s + exp(-1)*exp(-s)/s, 0, True)', 'X(s) = 1/(s+1) - 2*e^(-1)/s + (e^(-1)*e^(-s))/s'] majority ans: None
114: candids: [10.0, 2.0, None] majority ans: None
114: candids: [10.0, 2.0, None] majority ans: 10.0
116: candids: [1.0, None, 'The resulting velocity of the mass is v(t) = m * t, where t >= 0'] majority ans: None
116: candids: [1.0, None, 'The resulting velocity of the mass is v(t) = m * t, where t >= 0'] majority ans: 1.0
118: candids: [2.0, "{'Subproblem 0': {'y(t)': 'e^(-a*t)', 'Y(s)': '1/(s+a)'}, 'Subproblem 1': {'y(t)': 'e^(-sigma*t) * sin(omega_d*t)', 'Y(s)': 'omega_d/((s+sigma)^2 + omega_d^2)'}}", 'Y(s) = (ωd) / ((s+σ)^2 + ωd^2)'] majority ans: 2.0
118: candids: [2.0, "{'Subproblem 0': {'y(t)': 'e^(-a*t)', 'Y(s)': '1/(s+a)'}, 'Subproblem 1': {'y(t)': 'e^(-sigma*t) * sin(omega_d*t)', 'Y(s)': 'omega_d/((s+sigma)^2 + omega_d^2)'}}", 'Y(s) = (ωd) / ((s+σ)^2 + ωd^2)'] majority ans: 2.0
120: candids: [0.01, 1000.0, 10000.0] majority ans: None
120: candids: [0.01, 1000.0, 10000.0] majority ans: 0.01
121: candids: [1.0, 100.0, 0.01] majority ans: None
121: candids: [1.0, 100.0, 0.01] majority ans: 1.0
122: candids: [1.0, '1 - 3*exp(-2*t) + 2*exp(-5*t)', 'B*exp(-2*t) + C*exp(-5*t)'] majority ans: None
122: candids: [1.0, '1 - 3*exp(-2*t) + 2*exp(-5*t)', 'B*exp(-2*t) + C*exp(-5*t)'] majority ans: B*exp(-2*t) + C*exp(-5*t)
123: candids: [0.0, 'a*(1/a - exp(-a*t)/a)', 'a*(Heaviside(t)/a - exp(-a*t)*Heaviside(t)/a) + b*DiracDelta(t)'] majority ans: None
123: candids: [0.0, 'a*(1/a - exp(-a*t)/a)', 'a*(Heaviside(t)/a - exp(-a*t)*Heaviside(t)/a) + b*DiracDelta(t)'] majority ans: 0.0
124: candids: [1.0, 'exp(-t*(a*b - b**2)/(a - b))/(a - b) - exp(-t*(a**2 - a*b)/(a - b))/(a - b)', None] majority ans: None
124: candids: [1.0, 'exp(-t*(a*b - b**2)/(a - b))/(a - b) - exp(-t*(a**2 - a*b)/(a - b))/(a - b)', None] majority ans: 1.0
126: candids: [2.0, 't - sin(2*t)/2', None] majority ans: None
126: candids: [2.0, 't - sin(2*t)/2', None] majority ans: 2.0
127: candids: [1.0, None, 'H(s) = 1 / (R*s + L*s^2 + 1/(C*s))'] majority ans: None
127: candids: [1.0, None, 'H(s) = 1 / (R*s + L*s^2 + 1/(C*s))'] majority ans: None
128: candids: [5.0, 0.2, 1.0] majority ans: None
128: candids: [5.0, 0.2, 1.0] majority ans: 5.0
129: candids: [10.0, None, 1e-08] majority ans: None
129: candids: [10.0, None, 1e-08] majority ans: 10.0
131: candids: [None, 'L * di(t)/dt + 1/C * integral(i(t) dt) = v_i(t)', 'v_o(t) = 1/C * ∫(1/L * v_i(t)) dt'] majority ans: None
131: candids: [None, 'L * di(t)/dt + 1/C * integral(i(t) dt) = v_i(t)', 'v_o(t) = 1/C * ∫(1/L * v_i(t)) dt'] majority ans: None
132: candids: [None, None, None] majority ans: None
132: candids: [None, None, None] majority ans: None
133: candids: [99.88, 99.875, 100.0] majority ans: None
133: candids: [99.88, 99.875, 100.0] majority ans: 99.88
135: candids: [8.0, 300000000.0, '3.0 x 10^8'] majority ans: 300000000.0
135: candids: [8.0, 300000000.0, '3.0 x 10^8'] majority ans: 8.0
137: candids: [1.0, 211985280.00038326, None] majority ans: None
137: candids: [1.0, 211985280.00038326, None] majority ans: 1.0
138: candids: [None, None, None] majority ans: None
138: candids: [None, None, None] majority ans: None
139: candids: [2.0, None, 2.414213562373095] majority ans: None
139: candids: [2.0, None, 2.414213562373095] majority ans: 2.0
140: candids: [13.8, 0.013800000000000002, 14.0] majority ans: None
140: candids: [13.8, 0.013800000000000002, 14.0] majority ans: 13.8
141: candids: [3.0, 3.0, 4.0] majority ans: 3.0
141: candids: [3.0, 3.0, 4.0] majority ans: 4.0
142: candids: [3.0, 4.0, 2.0] majority ans: None
142: candids: [3.0, 4.0, 2.0] majority ans: 2.0
143: candids: [0.0, 6333.333333333333, None] majority ans: None
143: candids: [0.0, 6333.333333333333, None] majority ans: 0.0
144: candids: [221712000.0, "{'Subproblem 0': 1, 'Subproblem 1': 400000, 'Subproblem 2': 10, 'Subproblem 3': 100000000000.0, 'Subproblem 4': 8}", '(1, 400000, 10, 100000000000.0, 4)'] majority ans: None
144: candids: [221712000.0, "{'Subproblem 0': 1, 'Subproblem 1': 400000, 'Subproblem 2': 10, 'Subproblem 3': 100000000000.0, 'Subproblem 4': 8}", '(1, 400000, 10, 100000000000.0, 4)'] majority ans: 221712000.0
145: candids: [8.0, 0.0, 'The final answer is in the form of 10^x years, where x is the unknown exponent.'] majority ans: None
145: candids: [8.0, 0.0, 'The final answer is in the form of 10^x years, where x is the unknown exponent.'] majority ans: 8.0
146: candids: [300.0, 556.2188326715999, 556.584] majority ans: None
146: candids: [300.0, 556.2188326715999, 556.584] majority ans: 300.0
147: candids: [671.02, '(4467676075228.757, 14902.6855, 671.02)', 671.02] majority ans: 671.02
147: candids: [671.02, '(4467676075228.757, 14902.6855, 671.02)', 671.02] majority ans: 671.02
148: candids: [3.0, 1.0, '+n'] majority ans: None
148: candids: [3.0, 1.0, '+n'] majority ans: 3.0
149: candids: [1.0, '14902.6855 × 10^1', '1490268.5464 x 10^0'] majority ans: None
149: candids: [1.0, '14902.6855 × 10^1', '1490268.5464 x 10^0'] majority ans: 1.0
150: candids: [8.005204, 8.0052, 4.0015] majority ans: 8.005204
150: candids: [8.005204, 8.0052, 4.0015] majority ans: 4.0015
152: candids: [3.0, -0.3656666666666667, 4.844444444444445e-09] majority ans: None
152: candids: [3.0, -0.3656666666666667, 4.844444444444445e-09] majority ans: 4.844444444444445e-09
153: candids: [2.78, 2.78, 2.78] majority ans: 2.78
153: candids: [2.78, 2.78, 2.78] majority ans: 2.78
154: candids: [0.529, 0.529, 1.058] majority ans: 0.529
154: candids: [0.529, 0.529, 1.058] majority ans: 0.529
155: candids: [14.0, 4470805639176.18, 447080563917618.0] majority ans: None
155: candids: [14.0, 4470805639176.18, 447080563917618.0] majority ans: 14.0
156: candids: [7.0, 9.71e-07, '0.00 x 10^-5'] majority ans: None
156: candids: [7.0, 9.71e-07, '0.00 x 10^-5'] majority ans: 0.00 x 10^-5
157: candids: [1.3, 1.3, 1.3] majority ans: 1.3
157: candids: [1.3, 1.3, 1.3] majority ans: 1.3
158: candids: [5.0, '8.460692552732639e+23 x 10^6 m/s', '545000.00 x 10^5'] majority ans: None
158: candids: [5.0, '8.460692552732639e+23 x 10^6 m/s', '545000.00 x 10^5'] majority ans: 5.0
159: candids: [None, 1.8, 1.8] majority ans: 1.8
159: candids: [None, 1.8, 1.8] majority ans: None
160: candids: [None, 13.1, -0.5] majority ans: None
160: candids: [None, 13.1, -0.5] majority ans: -0.5
161: candids: [4080.0, '(735294117647058.9, 2450980.3921568627, 4080)', 4080.0] majority ans: 4080.0
161: candids: [4080.0, '(735294117647058.9, 2450980.3921568627, 4080)', 4080.0] majority ans: 4080.0
162: candids: [1.22, 0.0, 0.0] majority ans: None
162: candids: [1.22, 0.0, 0.0] majority ans: 0.0
163: candids: [2.0, 2.01e+17, 1010000.0] majority ans: None
163: candids: [2.0, 2.01e+17, 1010000.0] majority ans: 2.0
164: candids: [6.0, 6.375e+19, -0.19] majority ans: None
164: candids: [6.0, 6.375e+19, -0.19] majority ans: -0.19
166: candids: [1.0, '(0.0, 16966.67)', 16977.92869269949] majority ans: None
166: candids: [1.0, '(0.0, 16966.67)', 16977.92869269949] majority ans: 1.0
167: candids: [2.0, 0.0, 2.0] majority ans: 2.0
167: candids: [2.0, 0.0, 2.0] majority ans: 2.0
168: candids: [2.0, 35.06, 34.05] majority ans: None
168: candids: [2.0, 35.06, 34.05] majority ans: 2.0
170: candids: [24.303, 24.31, 24.31] majority ans: 24.31
170: candids: [24.303, 24.31, 24.31] majority ans: 24.303
171: candids: [6.0, '1874199.43 x 10^0', '1875537.28 * 10^6'] majority ans: None
171: candids: [6.0, '1874199.43 x 10^0', '1875537.28 * 10^6'] majority ans: 6.0
172: candids: [1.3, 1.96e+39, 2320000000000000.0] majority ans: None
172: candids: [1.3, 1.96e+39, 2320000000000000.0] majority ans: 2320000000000000.0
173: candids: [2.0, None, 1.0] majority ans: None
173: candids: [2.0, None, 1.0] majority ans: 2.0
174: candids: [10.0, 3.88e-10, 3.89e-10] majority ans: 3.88e-10
174: candids: [10.0, 3.88e-10, 3.89e-10] majority ans: 10.0
175: candids: [14.0, '900000000000000.0 kJ', '10 x 10^0 kJ'] majority ans: None
175: candids: [14.0, '900000000000000.0 kJ', '10 x 10^0 kJ'] majority ans: 14.0
176: candids: [46.07, "{'NH4OH': 35.06, 'NaHCO3': 84.01, 'CH3CH2OH': 46.08}", None] majority ans: None
176: candids: [46.07, "{'NH4OH': 35.06, 'NaHCO3': 84.01, 'CH3CH2OH': 46.08}", None] majority ans: 46.07
177: candids: [28.0, 28.0, 44.0] majority ans: 28.0
177: candids: [28.0, 28.0, 44.0] majority ans: 28.0
178: candids: [6.0, '0.00 x 10^-9', 5.89e-07] majority ans: None
178: candids: [6.0, '0.00 x 10^-9', 5.89e-07] majority ans: 6.0
179: candids: [12.0, '$0.0 \\times 10^-11$', '0.0 × 10^-11'] majority ans: None
179: candids: [12.0, '$0.0 \\times 10^-11$', '0.0 × 10^-11'] majority ans: 0.0 × 10^-11
180: candids: [14.0, 735300000000000.0, 735300000000000.0] majority ans: 735300000000000.0
180: candids: [14.0, 735300000000000.0, 735300000000000.0] majority ans: 14.0
182: candids: [2.0, 2751388253.644154, 1.3756941268220768] majority ans: None
182: candids: [2.0, 2751388253.644154, 1.3756941268220768] majority ans: 1.3756941268220768
183: candids: [10.0, 92.73, '38223413025556.47 * 10^20'] majority ans: None
183: candids: [10.0, 92.73, '38223413025556.47 * 10^20'] majority ans: 10.0
184: candids: [10.0, 2.55e-10, '0.36 * 10^0'] majority ans: None
184: candids: [10.0, 2.55e-10, '0.36 * 10^0'] majority ans: 0.36 * 10^0
185: candids: [None, 4.0, 0.0] majority ans: None
185: candids: [None, 4.0, 0.0] majority ans: None
186: candids: [1473.0, '0.00 * 10^0 cm^2/sec', '1.77e-05 cm^2/s'] majority ans: None
186: candids: [1473.0, '0.00 * 10^0 cm^2/sec', '1.77e-05 cm^2/s'] majority ans: 0.00 * 10^0 cm^2/sec
187: candids: [18.0, 1380000000000000.0, '7.86e+21 cm^-3'] majority ans: None
187: candids: [18.0, 1380000000000000.0, '7.86e+21 cm^-3'] majority ans: 7.86e+21 cm^-3
188: candids: [None, 699570.5592906257, 1.1624561403508773e-21] majority ans: None
188: candids: [None, 699570.5592906257, 1.1624561403508773e-21] majority ans: 1.1624561403508773e-21
189: candids: [9.5, 0.13, 0.13] majority ans: 0.13
189: candids: [9.5, 0.13, 0.13] majority ans: 0.13
190: candids: [3.0, 8.96, 1.3015276865544286e+24] majority ans: None
190: candids: [3.0, 8.96, 1.3015276865544286e+24] majority ans: 1.3015276865544286e+24
191: candids: [0.0, '0.13 * 10^0', '0.00 * 10^-7'] majority ans: 0.0
191: candids: [0.0, '0.13 * 10^0', '0.00 * 10^-7'] majority ans: 0.0
192: candids: [200.0, 560.0, 561.0] majority ans: None
192: candids: [200.0, 560.0, 561.0] majority ans: 561.0
193: candids: [111.0, 3.0, 4.0] majority ans: None
193: candids: [111.0, 3.0, 4.0] majority ans: 4.0
194: candids: [6.0, 7260000.0, '7.26 x 10^+06'] majority ans: None
194: candids: [6.0, 7260000.0, '7.26 x 10^+06'] majority ans: 6.0
196: candids: [9.4, 362.5, 0.0] majority ans: None
196: candids: [9.4, 362.5, 0.0] majority ans: 0.0
197: candids: [None, '0.00 × 10^0', '0.29 x 10^0'] majority ans: None
197: candids: [None, '0.00 × 10^0', '0.29 x 10^0'] majority ans: None
198: candids: [10.0, 2.5526554800834364e-10, 0.0] majority ans: None
198: candids: [10.0, 2.5526554800834364e-10, 0.0] majority ans: 10.0
200: candids: [8.0, None, 0.0711] majority ans: None
200: candids: [8.0, None, 0.0711] majority ans: 8.0
201: candids: [None, '0.03 x 10^12', '0.0 * 10^0'] majority ans: None
201: candids: [None, '0.03 x 10^12', '0.0 * 10^0'] majority ans: 0.0 * 10^0
202: candids: [1000.0, None, 1260.0] majority ans: None
202: candids: [1000.0, None, 1260.0] majority ans: 1000.0
203: candids: [144000.0, 0.0, 49326.0] majority ans: None
203: candids: [144000.0, 0.0, 49326.0] majority ans: 49326.0
204: candids: [0.0, 0.0, 0.0] majority ans: None
204: candids: [0.0, 0.0, 0.0] majority ans: 0.0
205: candids: [450.0, 450.0, 450.0] majority ans: 450.0
205: candids: [450.0, 450.0, 450.0] majority ans: 450.0
206: candids: [3.0, 1.85e-13, 2.16e-18] majority ans: None
206: candids: [3.0, 1.85e-13, 2.16e-18] majority ans: 2.16e-18
207: candids: [None, 0.74, 0.68] majority ans: None
207: candids: [None, 0.74, 0.68] majority ans: None
209: candids: [273.0, 80.0, 8000.0] majority ans: None
209: candids: [273.0, 80.0, 8000.0] majority ans: 80.0
210: candids: [84.01, 84.01, None] majority ans: 84.01
210: candids: [84.01, 84.01, None] majority ans: 84.01
211: candids: [19.0, None, -550914.0] majority ans: None
211: candids: [19.0, None, -550914.0] majority ans: 19.0
212: candids: [None, '4910.2 x 10^0', '7.246376811594204e+22 * 10^0'] majority ans: None
212: candids: [None, '4910.2 x 10^0', '7.246376811594204e+22 * 10^0'] majority ans: 4910.2 x 10^0
213: candids: [750.0, 29.3, 165076506096635.6] majority ans: None
213: candids: [750.0, 29.3, 165076506096635.6] majority ans: 165076506096635.6
214: candids: [19.0, '7.79 x 10^0', '168662506324843954176.00 × 10^20'] majority ans: None
214: candids: [19.0, '7.79 x 10^0', '168662506324843954176.00 × 10^20'] majority ans: 168662506324843954176.00 × 10^20
216: candids: [600.0, None, '(1950, 1700, 1200, 800, 900, 600)'] majority ans: None
216: candids: [600.0, None, '(1950, 1700, 1200, 800, 900, 600)'] majority ans: 600.0
217: candids: [10.0, None, '0.00 x 10^0'] majority ans: None
217: candids: [10.0, None, '0.00 x 10^0'] majority ans: None
219: candids: [None, 0.112, 62.026] majority ans: None
219: candids: [None, 0.112, 62.026] majority ans: None
220: candids: [3.28, "('-0.00', '0.00')", '(43, 490)'] majority ans: None
220: candids: [3.28, "('-0.00', '0.00')", '(43, 490)'] majority ans: ('-0.00', '0.00')
221: candids: [None, 561000000000.0, '48626526822299525120.00 x 10^20'] majority ans: None
221: candids: [None, 561000000000.0, '48626526822299525120.00 x 10^20'] majority ans: 48626526822299525120.00 x 10^20
222: candids: [1.0, "('7.353e+14', '2.45e+06')", '(735294117647058.9, 2450980.39)'] majority ans: None
222: candids: [1.0, "('7.353e+14', '2.45e+06')", '(735294117647058.9, 2450980.39)'] majority ans: 1.0
223: candids: [36.0, 9.0, 36.0] majority ans: 36.0
223: candids: [36.0, 9.0, 36.0] majority ans: 36.0
224: candids: [1.0, 13.243697856615297, 745.9088416153812] majority ans: None
224: candids: [1.0, 13.243697856615297, 745.9088416153812] majority ans: 13.243697856615297
225: candids: [1500.0, 1710.0, 0.0] majority ans: None
225: candids: [1500.0, 1710.0, 0.0] majority ans: 1500.0
226: candids: [0.1, 12.4, 12.4] majority ans: 12.4
226: candids: [0.1, 12.4, 12.4] majority ans: 12.4
227: candids: [None, 4.9e-66, '171705050.0 * 10^-72'] majority ans: None
227: candids: [None, 4.9e-66, '171705050.0 * 10^-72'] majority ans: None
228: candids: [2.0, -3.0796569108748164, 50.736171113169604] majority ans: None
228: candids: [2.0, -3.0796569108748164, 50.736171113169604] majority ans: -3.0796569108748164
230: candids: [10.0, 100.0, 0.0017096232494906438] majority ans: None
230: candids: [10.0, 100.0, 0.0017096232494906438] majority ans: 100.0
231: candids: [2.0, '0.1 x 10^-1', '-0.1 x 10^0'] majority ans: None
231: candids: [2.0, '0.1 x 10^-1', '-0.1 x 10^0'] majority ans: 2.0
232: candids: [14.0, 5995.560436028571, None] majority ans: None
232: candids: [14.0, 5995.560436028571, None] majority ans: 14.0
233: candids: [1.0, 0.0, 1.72] majority ans: None
233: candids: [1.0, 0.0, 1.72] majority ans: 0.0
234: candids: [17.0, '-6.14 × 10^0', '5.83e-01 J/mole'] majority ans: None
234: candids: [17.0, '-6.14 × 10^0', '5.83e-01 J/mole'] majority ans: 17.0
235: candids: [24.0, '627781345106.14 x 10^0', '627723276347924152320.00 x 10^0'] majority ans: None
235: candids: [24.0, '627781345106.14 x 10^0', '627723276347924152320.00 x 10^0'] majority ans: 627723276347924152320.00 x 10^0
237: candids: [9.0, None, '0.00 x 10^0'] majority ans: None
237: candids: [9.0, None, '0.00 x 10^0'] majority ans: 9.0
238: candids: [3.0, '0.00 x 10^-3.07', '0.00 x 10^-5'] majority ans: 0.00 x 10^-3.07
238: candids: [3.0, '0.00 x 10^-3.07', '0.00 x 10^-5'] majority ans: 3.0
239: candids: [10.0, 1.9431012339744044e+16, 0.0] majority ans: None
239: candids: [10.0, 1.9431012339744044e+16, 0.0] majority ans: 10.0
240: candids: [19.0, 0.0, -2.0] majority ans: None
240: candids: [19.0, 0.0, -2.0] majority ans: -2.0
241: candids: [66.0, 3.3e-10, -2.867336975873322e+40] majority ans: None
241: candids: [66.0, 3.3e-10, -2.867336975873322e+40] majority ans: -2.867336975873322e+40
243: candids: [2.0, '2*C/(3*S)', 'The marginal rate of substitution of software for clothes is 2C/3S.'] majority ans: None
243: candids: [2.0, '2*C/(3*S)', 'The marginal rate of substitution of software for clothes is 2C/3S.'] majority ans: 2.0
244: candids: [None, 'MR = MC', 'MC = MR'] majority ans: None
244: candids: [None, 'MR = MC', 'MC = MR'] majority ans: None
245: candids: [2.0, 2.0, 2.0] majority ans: 2.0
245: candids: [2.0, 2.0, 2.0] majority ans: 2.0
247: candids: [8.0, 800.0, 8.0] majority ans: 8.0
247: candids: [8.0, 800.0, 8.0] majority ans: 8.0
248: candids: [1.0, '1.0*(K - 1)**1.0/L**1.0', None] majority ans: None
248: candids: [1.0, '1.0*(K - 1)**1.0/L**1.0', None] majority ans: 1.0
249: candids: [None, "SRAC'(q) = 0", 'SRAC = Total Cost / Quantity of Output'] majority ans: None
249: candids: [None, "SRAC'(q) = 0", 'SRAC = Total Cost / Quantity of Output'] majority ans: None
251: candids: [100.0, '64.0/sqrt(p)', '<function solution.<locals>.<lambda> at 0x152c7eb60>'] majority ans: None
251: candids: [100.0, '64.0/sqrt(p)', '<function solution.<locals>.<lambda> at 0x152c7eb60>'] majority ans: 100.0
252: candids: [2.0, 2.5, 2.0] majority ans: 2.0
252: candids: [2.0, 2.5, 2.0] majority ans: 2.0
253: candids: [80.0, 64.0, '(64, 800.0)'] majority ans: None
253: candids: [80.0, 64.0, '(64, 800.0)'] majority ans: 80.0
255: candids: [6.2, 2.4, None] majority ans: None
255: candids: [6.2, 2.4, None] majority ans: 6.2
256: candids: [75.0, 58.333333333333336, 58.333333333333336] majority ans: 58.333333333333336
256: candids: [75.0, 58.333333333333336, 58.333333333333336] majority ans: 75.0
257: candids: [None, 6.0, 0.0] majority ans: None
257: candids: [None, 6.0, 0.0] majority ans: None
259: candids: [1.25, None, 'P = -0.25 * Xd + 45.0'] majority ans: None
259: candids: [1.25, None, 'P = -0.25 * Xd + 45.0'] majority ans: 1.25
260: candids: [0.0, None, '<function E_v at 0x1367ba020>'] majority ans: None
260: candids: [0.0, None, '<function E_v at 0x1367ba020>'] majority ans: 0.0
261: candids: [5.9, -0.4, None] majority ans: None
261: candids: [5.9, -0.4, None] majority ans: 5.9
262: candids: [19.0, -4.4, -7.0495771896e-19] majority ans: None
262: candids: [19.0, -4.4, -7.0495771896e-19] majority ans: 19.0
264: candids: [None, -0.0, 2.8] majority ans: None
264: candids: [None, -0.0, 2.8] majority ans: 2.8
265: candids: [25.0, 4.569703551724138e-24, 4.569703551724138e-24] majority ans: 4.569703551724138e-24
265: candids: [25.0, 4.569703551724138e-24, 4.569703551724138e-24] majority ans: 4.569703551724138e-24
267: candids: [2.0, "['eigen-energy of ψ₁', 'eigen-energy of ψ₂']", "['E1', 'E2']"] majority ans: None
267: candids: [2.0, "['eigen-energy of ψ₁', 'eigen-energy of ψ₂']", "['E1', 'E2']"] majority ans: 2.0


Diff salvati