通过余数将字符串哈希到int

Question

我正在练习哈希字符串到int，按长度，第一个字符，余数等。 目前，我正在研究“余数哈希”部分。在余数散列函数之后，我必须得到小于1的概率（p <1）。但是，我的余数函数导致p = 1.它说我必须通过计算总和的循环来模拟模数。总哈希表大小为65536，我必须以模数65413小于表大小。请提出建议。

#include <iostream>
#include <cstdint>
#include <vector>
#include <fstream>
#include <string>
#include <boost/math/distributions/chi_squared.hpp>
using namespace std;

vector<int> hashes(65536);
vector<int> entry_size(65536);
ifstream file("words.txt");
string line;
boost::math::chi_squared c2d(65535.0);

void hash_by_remainder(){
    int counter = 0;
    while(file >> line){
            uint16_t  hashed = 0;
            for ( int i=0; i < line.size(); i++){
                    uint16_t s_value = line.at(i);
                    hashed = hashed + s_value;
                    hashed = hashed % 65413;
            }
            uint16_t hashed_value = hash<string>{}(line);
            hashes.at(hashed) = hashed_value;
            entry_size.at(hashed) += 1;
            counter++;
    }
    float expected = counter/65536;
    float c2 = 0;
    for ( int i = 0; i < 65536; i++){
            c2 = c2 + (expected - entry_size[i])*(expected -  entry_size[i])/expected;
    }
    float p = boost::math::cdf(c2d,c2);
    cout << c2 << endl;
    cout << p << endl; //checking the probability
}