pairs-of-songs-with-total-durations-divisible-by-60.py

import unittest
from bisect import bisect
from typing import List, Counter


class Solution:
    def numPairsDivisibleBy60(self, time: List[int]) -> int:
        MOD = 60
        modulos: Counter[int] = Counter(map(lambda x: x % MOD, time))

        pairs = 0

        for modulo in map(lambda x: x % MOD, time):
            modulos[modulo] -= 1
            pairs += modulos[(60 - modulo) % MOD]
            modulos[modulo] += 1

        return pairs // 2

    def numPairsDivisibleBy60Slow(self, time):
        result = 0

        time_new = time.copy()

        mem = {}

        for pos in range(len(time)):
            time_new[pos] = time[pos] % 60
            if time_new[pos] in mem:
                mem[time_new[pos]].append(pos)
            else:
                mem[time_new[pos]] = [pos]

        time = time_new

        for i in range(len(time)):
            compl = 60 - time[i]
            if compl == 60:
                compl = 0
            if compl in mem:
                start = bisect(mem[compl], i)
                for j in mem[compl][start:]:
                    result += 1

        return result


class TestSolution(unittest.TestCase):
    def setUp(self):
        self.sol = Solution()

    def test_empty(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([]), 0)

    def test_one1(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([1]), 0)

    def test_one2(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([60]), 0)

    def test_two_div(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([59, 61]), 1)

    def test_two_non_div(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([59, 60]), 0)

    def test_custom1(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([30,20,150,100,40]), 3)

    def test_custom2(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([60,60,60]), 3)

    def test_custom3(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([186,128,261,78,60,131,448,42,37,123,313,399,368,173,268,440,314,369,135,101,220,299,81,210,217,411,287,265,211,53,382,3,118,301,415,107,266,212,434,488,332,409,194,122,369,293,444,448,491,356,91,405,49,101,22,239,188,94,450,82,49,110,24,187,443,425,13,115,283,27,402,411,267,249,356,335,134,319,200,319,288,480,451,200,151,330,292,457,235,451,422,174,230,209,418,405,97,310,143,432,117,225,197,365,454,124,61,130,300,327,356,13,333,27,332,388,81,24,165,22,34,479,345,161,436,278,5,182,110,319,278,384,19,385,381,33,262,312,499,415,222,369,197,364,315,112,213,71,263,457,171,285,242,216,485,453,182,449,300,45,320,241,177,234,237,359,116,59,106,231,465,287,361,98,178,294,461,232,474,144,133,164,233,23,186,196,233,348,109,67,427,174,306,185,188,298,328,127,157,296,18,156,163,217,371,61,91,370,271,341,183,328,168,14,39,494,406,90,53,273,151,67,354,241,324,380,215,345,178,77,341,99,482,279,177,69,234,118,65,101,409,89,120,277,431,145,486,408,206,239,474,120,74,137,374,450,74,369,79,349,85,142,414,452,239,93,308,111,225,333,274,157,240,199,462,221,118,499,301,37,87,161,391,417,290,182,6,78,169,180,411,41,225,329,323,63,251,337,163,499,36,215,64,260,439,460,232,255,117,348,200,83,492,182,60,129,425,80,314,152,40,418,259,414,120,478,44,92,448,167,482,138,28,467,98,249,446,298,326,8,93,14,379,424,25,166,297,179,389,325,346,96,63,334,275,33,252,162,29,188,430,383,349,27,220,277,185,497,13,271,145,482,233,495,334,27,346,327,207,291,133,381,139,351,183,368,420,259,44,488,171,18,275,266,205,143,172,321,43,266,437,106,123,363,349,422,78,340,316,455,208,270,313,354,151,495,290,316,424,363,252,40,361,203,125,238,73,452,12,104,254,98,144,476,178,374,101,7,414,455,362,165,74,378,149,110,61,402,110,250,150,341,129,46,179,277,371,129,429,440,69,309,138,212,465,407,418,248,426,386,462,441,164,337,341,85,106,72,170,188,203,367,171,310,457,479,49,362,257,207,97,490,105,264,401,13,485,385,77,127,203,416,267,401,170,495,335,411,3,448,363,275,43,338,341,485,494,237,464,437,208,126,130,231,46,289,201,315,153,109,77,153,60,228,464,195,165,320,14,454,260,170,57,61,484,463,270,494,104,110,439,390,3,344,423,189,232,213,233,332,294,368,17,177,413,214,445,475,160,307,349,364,349,367,387,1,469,143,140,97,285,250,474,462,62,52,456,90,81,98,393,363,355,108,49,232,131,46,182,190,175,436,432,296,283,174,150,47,450,341,111,122,367,131,61,164,345,71,222,129,47,71,489,61,497,299,342,233,405,241,147,7,187,492,400,178,225,111,188,236,11,97,377,362,109,383,141,252,388,67,15,454,305,305,38,160,50,164,26,83,75,198,337,494,98,49,264,398,155,403,295,182,269,187,280,260,247,429,421,218,488,342,69,390,443,457,319,266,276,308,167,93,345,393,331,228,94,33,312,97,366,341,126,183,23,143,151,328,334,257,1,163,444,107,43,44,86,124,172,458,186,485,109,56,468,230,77,79,130,227,16,178,112,197,241,471,177,50,263,79,132,68,53,313,416,486,358,100,1,417,170,141,229,69,126,470,391,162,348,53,59,208,1,157,315,351,213,68,144,271,450,500,371,249,62,390,445,80,280,50,128,21,167,453,175,235,496,433,38,420,199,213,247,338,481,439,146,103,457,220,135,378,450,267,79,380,387,370,150,480,91,175,211,422,349,404,58,452,362,348,129,224,378,96,268,255,150,210,258,166,25,250,353,452,242,164,122,89,464,363,239,390,114,14,139,90,495,137,273,434,148,144,69,38,153,368,485,187,356,52,330,367,301,486,193,200,383,4,462,169,145,47,332,434,246,255,359,48,286,104,316,395,278,15,37,51,116,167,27,432,165,325,378,346,218,429,408,406,295,457,38,54,403,357,274,181,314,34,427,377,361,470,408,370,349,332,429,470,212,164,92,468,63,291,102,324,7,245,264,154,160,217,202,14,489,337,483,97,173,200,483,183,8,326,300,116,420,123,401,67,100,144,354,230,85,136,170,355,160,4,108,220,101,484,255,345,459,372,385,173,126,379,227,468,87,284,404,451,99,500,130,403,144,258,4,478,59,195,371,29,157,497,236,149,275,204,339,33,101,61,300,382,334,145,492,227,46,348,204,389,467,420,471,4,261,5,23,368,198,392,224,2,443,313,397,332,408,91,176,420,44,72,238,257,107,66,29,360,270,183,417,233,75,458,72,16,70,252,138,9,81,199,437,208,24,247,361,377,314,488,342,153,275,169,213,207,196,48,59,72,418,96,318,284,487,118,61,250,47,408,200,88,88,473,262,277,414,303,210,261,396,87,343,248,346,221,228,467,161,61,284,274,382,143,219,232,187,152,443,91,164,35,248,65,351,113,200,184,321,25,411,191,306,85,417,2,137,162,43,450,282,76,94,334,431,480,480,187,67,217,177,357,290,164,139,49,215,75,150,421,99,25,345,323,497,104,107,366,273,2,335,218,244,474,248,496,187,88,382,476,496,52,287,318,475,467,183,230,82,296,328,168,370,84,391,45,32,402,241,420,485,241,103,105,182,173,302,405,420,50,444,304,77,373,253,353,81,92,111,218,378,22,63,442,313,457,345,45,391,67,87,100,37,41,435,350,264,183,469,284,209,122,10,141,314,136,268,439,48,492,479,76,459,191,313,354,153,364,455,440,230,149,378,146,89,240,443,381,66,471,172,193,331,60,472,141,160,126,15,147,74,358,343,101,23,246,80,420,376,182,469,133,346,294,493,343,414,97,267,267,469,273,263,152,76,181,475,335,353,406,142,216,189,222,132,68,184,420,243,217,220,13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1781580)

    def test_custom4(self):
        self.assertEqual(self.sol.numPairsDivisibleBy60([120,276,496,492,60,30,208,375,298,78,286,382,398,174,84,500,289,382,348,149,103,359,20,219,163,86,223,53,267,225,194,175,225,229,371,388,238,390,430,210,51,327,439,422,415,115,161,389,263,137,95,48,459,421,269,130,262,120,307,37,93,436,166,36,172,394,349,459,63,422,70,237,43,327,499,138,319,368,73,407,460,24,464,192,69,211,164,293,319,119,374,20,342,176,273,281,186,43,94,119,27,47,296,65,149,99,108,410,385,70,463,444,330,480,371,380,277,58,142,393,414,317,359,193,289,431,130,119,217,269,448,455,112,144,165,13,77,192,396,414,325,56,87,230,67,196,321,265,40,37,234,285,371,248,186,329,118,395,126,437,451,171,121,384,468,461,292,229,80,93,463,334,187,86,50,272,438,36,352,137,253,428,112,425,443,496,331,466,73,424,180,195,87,366,324,109,446,462,269,221,20,395,179,415,308,120,235,166,131,168,474,198,388,19,4,257,313,491,83,182,19,440,307,30,258,440,405,277,274,116,49,113,203,48,54,412,174,227,370,153,299,1,67,271,25,411,363,470,141,219,369,408,259,281,154,416,422,431,224,391,476,178,219,218,45,34,179,241,499,426,315,292,265,242,1,64,449,447,32,82,287,135,233,241,353,14,146,499,341,274,78,256,173,404,255,67,40,456,46,23,67,385,263,379,473,51,250,414,354,155,163,239,132,127,483,47,373,499,313,218,439,97,446,114,124,150,425,128,322,87,408,384,24,436,288,342,463,272,61,288,2,476,336,381,231,127,16,408,184,317,134,394,194,173,228,100,301,453,85,74,254,229,391,126,396,304,124,341,496,50,231,106,125,32,236,66,204,72,251,243,13,83,145,289,280,329,469,314,489,119,360,347,464,328,301,21,330,20,315,177,70,80,30,456,465,197,298,100,11,249,248,333,40,333,42,365,388,377,139,180,11,302,273,89,361,463,50,91,230,116,351,277,43,126,424,483,340,107,54,422,241,490,239,428,485,407,358,165,442,177,212,199,159,454,68,279,96,439,252,326,425,184,294,454,271,353,352,189,125,416,448,261,481,96,453,350,121,337,332,334,42,257,151,426,53,189,294,50,117,202,469,301,158,329,279,90,340,411,58,120,441,438,377,43,291,98,65,158,163,312,396,78,437,294,417,429,385,221,310,429,488,378,80,84,357,478,118,299,152,222,491,292,494,412,392,386,423,424,79,205,103,263,194,475,250,375,261,121,480,229,292,320,309,142,477,4,398,467,428,264,366,45,126,59,462,182,301,305,14,238,95,41,437,346,379,224,145,485,331,104,209,454,140,103,461,127,261,215,454,37,144,197,127,301,47,455,436,348,372,209,87,140,62,176,78,102,334,234,39,42,335,472,468,342,42,362,95,455,391,219,467,414,82,271,433,256,222,219,253,267,54,240,98,355,395,428,433,274,295,264,134,264,5,304,66,251,51,110,327,8,379,496,43,496,70,424,338,132,388,303,323,62,82,188,63,270,274,293,138,214,167,477,324,226,398,457,361,384,494,426,326,309,17,140,334,186,385,26,1,156,120,120,492,277,240,456,343,489,459,181,494,282,484,368,136,44,101,1,311,417,267,94,43,310,69,381,422,321,261,357,330,153,262,461,395,449,256,252,181,141,367,234,483,466,500,118,51,351,322,498,224,375,239,35,426,304,340,10,145,15,25,287,474,30,254,210,224,368,399,229,89,24,337,467,219,47,242,389,187,214,194,88,330,353,184,95,211,182,393,119,402,490,166,130,152,58,381,247,196,240,496,326,139,20,221,17,113,456,479,80,318,301,39,377,91,195,380,84,498,384,212,473,473,493,357,385,468,300,365,465,54,412,107,87,80,273,327,458,290,313,345,167,456,392,443,283,326,5,307,193,200,306,230,306,51,89,243,212,374,125,265,59,26,113,104,192,443,37,484,116,320,415,422,90,251,327,21,129,91,344,207,119,28,141,466,248,107,472,395,32,467,487,238,461,136,106,280,366,268,30,499,306,137,333,50,142,209,311,2,91,286,183,498,405,322,160,284,55,245,48,218,164,489,305,165,375,353,167,262,404,339,403,144,97,360,451,447,358,157,155,97,9,248,410,99,411,75,63,488,33,309,48,178,264,446,487,51,129,448,296,174,486,209,172,27,315,478,393,59,494,167,291,38,360,140,369,150,61,234,410,266,160,407,445,377,220,434,161,235,16,141,85,140,316,333,34,329,250,46,151,497,134,27,76,129,495,454,156,400,391,355,254,71,147,364,273,102,240,439,448,234,143,348,219,161,135,183,299,461,209,367,430,317,259,18,401,194,194,295,164,387,250,34,30,134,110,63,158,425,81,3,111,174,267,494,297,172,101,23,53,299,277,296,421,471,376,347,482,118,361,201,188,69,193,267,150,228,390,68,295,11,90,161,242,485,286,498,79,277,201,258,359,272,308,158,340,496,229,490,39,16,77,278,381,54,416,275,266,19,65,376,241,239,132,358,313,146,150,396,101,24,368,267,266,274,436,263,496,183,114,500,449,304,209,226,201,196,440,453,431,153,49,470,282,85,17,484,217,361,402,428,200,234,399,318,221,175,172,14,20,452,428,99,394,103,465,119,370,145,239,125,188,381,486,14,84,193,283,365,213,259,398,303,47,149,75,19,216,270,381,371,468,111,274,93,313,267,58,59,211,392,403,336,133,99,354,356,38,11,325,284,133,471,223,280,66,316,219,11,283,500,37,382,96,401,448,273,27,258,382,425,372,429,144,97,298,92,123,173,325,24,383,461,250,29,428,75,398,452,212,69,246,183,334,404,320,449,474,376,57,95,95,289,438,388,76,184,44,162,252,251,7,371,434,441,118,297,273,152,5,291,68,125,402,117,215,340,117,467,377,133,164,79,228,199,304,38,69,329,362,419,241,252,194,189,224,491,291,148,254,116,429,243,397,319,222,385,14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21307940)


if __name__ == "__main__":
    unittest.main()