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C语言 | Leetcode C语言题解之第508题斐波那契数

article 2024/10/27 2:55:59

题目：

题解：

struct Matrix {
    int mat[2][2];
};

struct Matrix matrixMultiply(struct Matrix* a, struct Matrix* b) {
    struct Matrix c;
    for (int i = 0; i < 2; i++) {
        for (int j = 0; j < 2; j++) {
            c.mat[i][j] = (*a).mat[i][0] * (*b).mat[0][j] + (*a).mat[i][1] * (*b).mat[1][j];
        }
    }
    return c;
}

struct Matrix matrixPow(struct Matrix a, int n) {
    struct Matrix ret;
    ret.mat[0][0] = ret.mat[1][1] = 1;
    ret.mat[0][1] = ret.mat[1][0] = 0;
    while (n > 0) {
        if (n & 1) {
            ret = matrixMultiply(&ret, &a);
        }
        n >>= 1;
        a = matrixMultiply(&a, &a);
    }
    return ret;
}

int fib(int n) {
    if (n < 2) {
        return n;
    }
    struct Matrix q;
    q.mat[0][0] = q.mat[0][1] = q.mat[1][0] = 1;
    q.mat[1][1] = 0;
    struct Matrix res = matrixPow(q, n - 1);
    return res.mat[0][0];
}

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