How to use q1 method in pytest-benchmark

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degree_freedom_queen.py

Source:degree_freedom_queen.py

1import numpy as np2def degree_freedom_queen(p_k1, p_k2, p_q1, s):3    """4    This function returns a matrix of ones and zeros where 1 specify a location in which the Queen can move to. The king5    will never choose an unsafe location.6    :param p_k1: position of King 17    :param p_k2: position of King 28    :param p_q1: position of Queen9    :param s: board10    :return: dfQ1: Degrees of Freedom of the Queen, a_q1: Allowed actions for the Queen, dfQ1_: Squares the Queen is threatening11    """12    size_board = s.shape[0]13    dfQ1 = np.zeros([size_board, size_board], dtype=int)14    dfQ1[p_q1[0], p_q1[1]] = 115    # King 2 reach16    k2r = [[p_k2[0] - 1, p_k2[1]],  # up17           [p_k2[0] + 1, p_k2[1]],  # down18           [p_k2[0], p_k2[1] - 1],  # left19           [p_k2[0], p_k2[1] + 1],  # right20           [p_k2[0] - 1, p_k2[1] - 1],  # up-left21           [p_k2[0] - 1, p_k2[1] + 1],  # up-right22           [p_k2[0] + 1, p_k2[1] - 1],  # down-left23           [p_k2[0] + 1, p_k2[1] + 1]]  # down-right24    k2r = np.array(k2r)25    26    #|4|0|5|27    #|2| |3|28    #|6|1|7|29    30    # King 1 reach31    k1r = [[p_k1[0] - 1, p_k1[1]],  # up32           [p_k1[0] + 1, p_k1[1]],  # down33           [p_k1[0], p_k1[1] - 1],  # left34           [p_k1[0], p_k1[1] + 1],  # right35           [p_k1[0] - 1, p_k1[1] - 1],  # up-left36           [p_k1[0] - 1, p_k1[1] + 1],  # up-right37           [p_k1[0] + 1, p_k1[1] - 1],  # down-left38           [p_k1[0] + 1, p_k1[1] + 1]]  # down-right39    k1r = np.array(k1r)40    dfQ1_ = np.zeros([size_board, size_board], dtype=int)  # King without King 2 reach41    dfQ1_[p_q1[0], p_q1[1]] = 142    # Queen43    blocked = np.zeros(8, dtype=int)44    blocked2 = np.zeros(8, dtype=int)45    a_q1 = np.zeros([8 * (size_board - 1), 1], dtype=int)46    for j in range(size_board):47        # allow_down48        if p_q1[0] + j < size_board - 1:49            if (p_q1[0] + j + 1 == p_k1[0] and p_q1[1] == p_k1[1]) or ((p_q1[0] + j + 1 == p_k2[0] and p_q1[1] == p_k2[1])):50                blocked[0] = 151            if p_q1[0] + j + 1 == p_k1[0] and p_q1[1] == p_k1[1]:52                blocked2[0] = 153            if blocked[0] == 0:54                tmp = np.zeros([8], dtype=int)55                for i in range(k2r.shape[0]):56                    if p_q1[0] + j + 1 != k2r[i, 0] or p_q1[1] != k2r[i, 1]:57                        tmp[i] = 158                if np.all(tmp):59                    dfQ1[p_q1[0] + j + 1, p_q1[1]] = 160                    a_q1[j] = 161                else:62                    for i in range(len(tmp)):63                        if tmp[i] == 0:64                            for ii in range(k1r.shape[0]):65                                if p_q1[0] + j + 1 == k1r[ii, 0] and p_q1[1] == k1r[ii, 1]:66                                    dfQ1[p_q1[0] + j + 1, p_q1[1]] = 167                                    a_q1[j] = 168            if blocked2[0] == 0:69                dfQ1_[p_q1[0] + j + 1, p_q1[1]] = 170        # allow_up71        if p_q1[0] - j > 0:72            if (p_q1[0] - j - 1 == p_k1[0] and p_q1[1] == p_k1[1]) or ((p_q1[0] - j - 1 == p_k2[0] and p_q1[1] == p_k2[1])):73                blocked[1] = 174            if p_q1[0] - j - 1 == p_k1[0] and p_q1[1] == p_k1[1]:75                blocked2[1] = 176            if blocked[1] == 0:77                tmp = np.zeros([8], dtype=int)78                for i in range(k2r.shape[0]):79                    if p_q1[0] - j - 1 != k2r[i, 0] or p_q1[1] != k2r[i, 1]:80                        tmp[i] = 181                if np.all(tmp):82                    dfQ1[p_q1[0] - j - 1, p_q1[1]] = 183                    a_q1[j + (size_board - 1)] = 184                else:85                    for i in range(len(tmp)):86                        if tmp[i] == 0:87                            for ii in range(k1r.shape[0]):88                                if p_q1[0] - j - 1 == k1r[ii, 0] and p_q1[1] == k1r[ii, 1]:89                                    dfQ1[p_q1[0] - j - 1, p_q1[1]] = 190                                    a_q1[j + (size_board - 1)] = 191            if blocked2[1] == 0:92                dfQ1_[p_q1[0] - j - 1, p_q1[1]] = 193        # allow_right94        if p_q1[1] + j < size_board - 1:95            if (p_q1[0] == p_k1[0] and p_q1[1] + j + 1 == p_k1[1]) or ((p_q1[0] == p_k2[0] and p_q1[1] + j + 1 == p_k2[1])):96                blocked[2] = 197            if p_q1[0] == p_k1[0] and p_q1[1] + j + 1 == p_k1[1]:98                blocked2[2] = 199            if blocked[2] == 0:100                tmp = np.zeros([8], dtype=int)101                for i in range(k2r.shape[0]):102                    if p_q1[0] != k2r[i, 0] or p_q1[1] + j + 1 != k2r[i, 1]:103                        tmp[i] = 1104                if np.all(tmp):105                    dfQ1[p_q1[0], p_q1[1] + j + 1] = 1106                    a_q1[j + 2 * (size_board - 1)] = 1107                else:108                    for i in range(len(tmp)):109                        if tmp[i] == 0:110                            for ii in range(k1r.shape[0]):111                                if p_q1[0] == k1r[ii, 0] and p_q1[1] + j + 1 == k1r[ii, 1]:112                                    dfQ1[p_q1[0], p_q1[1] + j + 1] = 1113                                    a_q1[j + 2 * (size_board - 1)] = 1114            if blocked2[2] == 0:115                dfQ1_[p_q1[0], p_q1[1] + j + 1] = 1116        # allow_left117        if p_q1[1] - j > 0:118            if (p_q1[0] == p_k1[0] and p_q1[1] - j - 1 == p_k1[1]) or ((p_q1[0] == p_k2[0] and p_q1[1] - j - 1 == p_k2[1])):119                blocked[3] = 1120            if p_q1[0] == p_k1[0] and p_q1[1] - j - 1 == p_k1[1]:121                blocked2[3] = 1122            if blocked[3] == 0:123                tmp = np.zeros([8], dtype=int)124                for i in range(k2r.shape[0]):125                    if p_q1[0] != k2r[i, 0] or p_q1[1] - j - 1 != k2r[i, 1]:126                        tmp[i] = 1127                if np.all(tmp):128                    dfQ1[p_q1[0], p_q1[1] - j - 1] = 1129                    a_q1[j + 3 * (size_board - 1)] = 1130                else:131                    for i in range(len(tmp)):132                        if tmp[i] == 0:133                            for ii in range(k1r.shape[0]):134                                if p_q1[0] == k1r[ii, 0] and p_q1[1] - j - 1 == k1r[ii, 1]:135                                    dfQ1[p_q1[0], p_q1[1] - j - 1] = 1136                                    a_q1[j + 3 * (size_board - 1)] = 1137            if blocked2[3] == 0:138                dfQ1_[p_q1[0], p_q1[1] - j - 1] = 1139        # allow_down_right140        if p_q1[0] + j < size_board - 1 and p_q1[1] + j < size_board - 1:141            if (p_q1[0] + j + 1 == p_k1[0] and p_q1[1] + j + 1 == p_k1[1]) or ((p_q1[0] + j + 1 == p_k2[0] and p_q1[1] + j + 1 == p_k2[1])):142                blocked[4] = 1143            if p_q1[0] + j + 1 == p_k1[0] and p_q1[1] + j + 1 == p_k1[1]:144                blocked2[4] = 1145            if blocked[4] == 0:146                tmp = np.zeros([8], dtype=int)147                for i in range(k2r.shape[0]):148                    if p_q1[0] + j + 1 != k2r[i, 0] or p_q1[1] + j + 1 != k2r[i, 1]:149                        tmp[i] = 1150                if np.all(tmp):151                    dfQ1[p_q1[0] + j + 1, p_q1[1] + j + 1] = 1152                    a_q1[j + 4 * (size_board - 1)] = 1153                else:154                    for i in range(len(tmp)):155                        if tmp[i] == 0:156                            for ii in range(k1r.shape[0]):157                                if p_q1[0] + j + 1 == k1r[ii, 0] and p_q1[1] + j + 1 == k1r[ii, 1]:158                                    dfQ1[p_q1[0] + j + 1, p_q1[1] + j + 1] = 1159                                    a_q1[j + 4 * (size_board - 1)] = 1160            if blocked2[4] == 0:161                dfQ1_[p_q1[0] + j + 1, p_q1[1] + j + 1] = 1162        # allow_down_left163        if p_q1[0] + j < size_board - 1 and p_q1[1] - j > 0:164            if (p_q1[0] + j + 1 == p_k1[0] and p_q1[1] - j - 1 == p_k1[1]) or ((p_q1[0] + j + 1 == p_k2[0] and p_q1[1] - j - 1 == p_k2[1])):165                blocked[5] = 1166            if p_q1[0] + j + 1 == p_k1[0] and p_q1[1] - j - 1 == p_k1[1]:167                blocked2[5] = 1168            if blocked[5] == 0:169                tmp = np.zeros([8], dtype=int)170                for i in range(k2r.shape[0]):171                    if p_q1[0] + j + 1 != k2r[i, 0] or p_q1[1] - j - 1 != k2r[i, 1]:172                        tmp[i] = 1173                if np.all(tmp):174                    dfQ1[p_q1[0] + j + 1, p_q1[1] - j - 1] = 1175                    a_q1[j + 5 * (size_board - 1)] = 1176                else:177                    for i in range(len(tmp)):178                        if tmp[i] == 0:179                            for ii in range(k1r.shape[0]):180                                if p_q1[0] + j + 1 == k1r[ii, 0] and p_q1[1] - j - 1 == k1r[ii, 1]:181                                    dfQ1[p_q1[0] + j + 1, p_q1[1] - j - 1] = 1182                                    a_q1[j + 5 * (size_board - 1)] = 1183            if blocked2[5] == 0:184                dfQ1_[p_q1[0] + j + 1, p_q1[1] - j - 1] = 1185        # allow_up_right186        if p_q1[0] - j > 0 and p_q1[1] + j < size_board - 1:187            if (p_q1[0] - j - 1 == p_k1[0] and p_q1[1] + j + 1 == p_k1[1]) or ((p_q1[0] - j - 1 == p_k2[0] and p_q1[1] + j + 1 == p_k2[1])):188                blocked[6] = 1189            if p_q1[0] - j - 1 == p_k1[0] and p_q1[1] + j + 1 == p_k1[1]:190                blocked2[6] = 1191            if blocked[6] == 0:192                tmp = np.zeros([8], dtype=int)193                for i in range(k2r.shape[0]):194                    if p_q1[0] - j - 1 != k2r[i, 0] or p_q1[1] + j + 1 != k2r[i, 1]:195                        tmp[i] = 1196                if np.all(tmp):197                    dfQ1[p_q1[0] - j - 1, p_q1[1] + j + 1] = 1198                    a_q1[j + 6 * (size_board - 1)] = 1199                else:200                    for i in range(len(tmp)):201                        if tmp[i] == 0:202                            for ii in range(k1r.shape[0]):203                                if p_q1[0] - j - 1 == k1r[ii, 0] and p_q1[1] + j + 1 == k1r[ii, 1]:204                                    dfQ1[p_q1[0] - j - 1, p_q1[1] + j + 1] = 1205                                    a_q1[j + 6 * (size_board - 1)] = 1206            if blocked2[6] == 0:207                dfQ1_[p_q1[0] - j - 1, p_q1[1] + j + 1] = 1208        # allow_up_left209        if p_q1[0] - j > 0 and p_q1[1] - j > 0:210            if (p_q1[0] - j - 1 == p_k1[0] and p_q1[1] - j - 1 == p_k1[1]) or ((p_q1[0] - j - 1 == p_k2[0] and p_q1[1] - j - 1 == p_k2[1])):211                blocked[7] = 1212            if p_q1[0] - j - 1 == p_k1[0] and p_q1[1] - j - 1 == p_k1[1]:213                blocked2[7] = 1214            if blocked[7] == 0:215                tmp = np.zeros([8], dtype=int)216                for i in range(k2r.shape[0]):217                    if p_q1[0] - j - 1 != k2r[i, 0] or p_q1[1] - j - 1 != k2r[i, 1]:218                        tmp[i] = 1219                if np.all(tmp):220                    dfQ1[p_q1[0] - j - 1, p_q1[1] - j - 1] = 1221                    a_q1[j + 7 * (size_board - 1)] = 1222                else:223                    for i in range(len(tmp)):224                        if tmp[i] == 0:225                            for ii in range(k1r.shape[0]):226                                if p_q1[0] - j - 1 == k1r[ii, 0] and p_q1[1] - j - 1 == k1r[ii, 1]:227                                    dfQ1[p_q1[0] - j - 1, p_q1[1] - j - 1] = 1228                                    a_q1[j + 7 * (size_board - 1)] = 1229            if blocked2[7] == 0:230                dfQ1_[p_q1[0] - j - 1, p_q1[1] - j - 1] = 1231    dfQ1[p_q1[0], p_q1[1]] = 0232    dfQ1[p_k1[0], p_k1[1]] = 0233    if p_k2[0] != np.inf:234        dfQ1[p_k2[0], p_k2[1]] = 0...

countWaysPQR.py

Source:countWaysPQR.py

1def countWaysPQR(p, q, r):2    s = p + q + r3    dp = [[[[0 for x in range(3)] for i in range(q + 1)] for j in range(p + 1)] for k in range(s + 1)]4    dp[1][0][0][2] = 15    dp[1][1][0][0] = 16    dp[1][0][1][1] = 17    for i in range(2, s + 1):8        for p1 in range(min(i + 1, p + 1)):9            for q1 in range(min(i + 1, q + 1)):10                r1 = i - (p1 + q1)11                if r1 < 0:12                    break13                if r1 == i:14                    continue15                if r1 == 0:16                    if q1 > 0 and p1 > 0:17                        if p1 == q1:18                            dp[i][p1][q1][0] = 119                            dp[i][p1][q1][1] = 120                        elif p1 - q1 == 1:21                            dp[i][p1][q1][0] = 122                        elif q1 - p1 == 1:23                            dp[i][p1][q1][1] = 124                else:25                    if p1 == 0 or q1 == 0:26                        if p1 == r1:27                            dp[i][p1][q1][0] = 128                            dp[i][p1][q1][2] = 129                        elif q1 == r1:30                            dp[i][p1][q1][1] = 131                            dp[i][p1][q1][2] = 132                        elif q1 - r1 == 1:33                            dp[i][p1][q1][1] = 134                        elif p1 - r1 == 1:35                            dp[i][p1][q1][0] = 136                        elif r1 - p1 == 1 or r1 - q1 == 1:37                            dp[i][p1][q1][2] = 138                    else:39                        dp[i][p1][q1][2] = dp[i - 1][p1][q1][0] + dp[i - 1][p1][q1][1]40                        dp[i][p1][q1][1] = dp[i - 1][p1][q1 - 1][0] + dp[i - 1][p1][q1 - 1][2]41                        dp[i][p1][q1][0] = dp[i - 1][p1 - 1][q1][1] + dp[i - 1][p1 - 1][q1][2]42    return sum(dp[s][p][q])...

1006. Clumsy Factorial.py

Source:1006. Clumsy Factorial.py

1class Solution:2    def clumsy(self, N: int) -> int:3        opt = 04        q1 = []5        for i in range(N, 0, -1):6            q1.append(i)7            if i == 1:8                break9            if opt == 0:10                q1.append("*")11            elif opt == 1:12                q1.append("/")13            elif opt == 2:14                q1.append("+")15            else:16                q1.append("-")17            opt += 118            if opt == 4:19                opt = 020        for i in range(0, len(q1)):21            if q1[i] == "*":22                q1[i + 1] = q1[i - 1] * q1[i + 1]23                q1[i - 1] = "null"24                q1[i] = "null"25            elif q1[i] == "/":26                q1[i + 1] = int(q1[i - 1] / q1[i + 1])27                q1[i - 1] = "null"28                q1[i] = "null"29        q1 = [x for x in q1 if x != "null"]30        for i in range(0, len(q1)):31            if q1[i] == "+":32                q1[i + 1] = q1[i - 1] + q1[i + 1]33            elif q1[i] == "-":34                q1[i + 1] = q1[i - 1] - q1[i + 1]35        return q1[-1]36if __name__ == '__main__':37    s = Solution()38    print(s.clumsy(10))...

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