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Diffstat (limited to 'AlgoDesignAndTechniqueEdxPython/sources/partition3.py')
-rw-r--r-- | AlgoDesignAndTechniqueEdxPython/sources/partition3.py | 43 |
1 files changed, 43 insertions, 0 deletions
diff --git a/AlgoDesignAndTechniqueEdxPython/sources/partition3.py b/AlgoDesignAndTechniqueEdxPython/sources/partition3.py new file mode 100644 index 0000000..9a711f1 --- /dev/null +++ b/AlgoDesignAndTechniqueEdxPython/sources/partition3.py @@ -0,0 +1,43 @@ +# Uses python3 +import sys + + +def getPartition3(a): + if len(a) < 3: + return 0 + sum = 0 + for i in a: + sum = sum + i; + if sum % 3 != 0: + return 0 + W = int(sum / 3) + values = optimalWeight2DArray(W, a) + count = 0 + for i in range(1, len(a) + 1): + for w in range(1, W + 1): + if values[w][i] == W: + count = count + 1 + if count >= 3: + return 1 + else: + return 0 + + +def optimalWeight2DArray(W, w2): + j = len(w2) + value = [[0 for _ in range(j + 1)] for _ in range(W + 1)] + + for i in range(1, j + 1): + for w in range(1, W + 1): + value[w][i] = value[w][i - 1] + if w2[i - 1] <= w: + val = value[w - w2[i - 1]][i - 1] + w2[i - 1] + if value[w][i] < val: + value[w][i] = val + return value + + +if __name__ == '__main__': + input = sys.stdin.read() + n, *A = list(map(int, input.split())) + print(getPartition3(A)) |