和为定值的多个数

给定N个数，从中找出若干个数，使得这些数的和等于sum。

TwoSum

void TwoSum(int data[], unsigned int length, int sum)
{
    std::sort(data, data + length);
    int begin = 0;
    int end = length - 1;
    while (begin < end) {
        int cur_sum = data[begin] + data[end];
        if (cur_sum == sum) {
            printf("%d %d
", data[begin], data[end]);
            begin++;
            end--;
        } else {
            if (cur_sum < sum)
                begin++;
            else
                end--;
        }
    }
}

MultiSum

0-1背包问题。

void MultiSum(int data[], unsigned int length, int sum, bool flag[], int flag_size)
{
    if (length <= 0 || sum <= 0)
        return;
    if (sum == data[length - 1]) {
        for (int i = 0; i < flag_size; i++) {
            if (flag[i] == 1)
                printf("%d+", data[i]);
        }
        printf("%d
", data[length - 1]);
    }
    flag[length - 1] = 1;
    MultiSum(data, length - 1, sum - data[length - 1],flag, flag_size);
    flag[length - 1] = 0;
    MultiSum(data, length - 1, sum,flag, flag_size);
}

参考资料:

寻找和为定值的多个数

k Sum