❤ • 17天前
#include <iostream>
#include <vector>
using namespace std;
vector<int> generatePrimes(int n) {
if (n < 2) return vector<int>();
vector<bool> isPrime(n + 1, true);
isPrime[0] = false;
isPrime[1] = false;
for (int i = 2; i * i <= n; i++) {
if (isPrime[i]) {
for (int j = i * i; j <= n; j += i) {
isPrime[j] = false;
}
}
}
vector<int> primes;
for (int i = 2; i <= n; i++) {
if (isPrime[i]) {
primes.push_back(i);
}
}
return primes;
}
int main() {
vector<int> inputs;
int n;
int max_n = 0;
while (cin >> n) {
inputs.push_back(n);
if (n > max_n) {
max_n = n;
}
}
if (max_n < 2) {
for (int n : inputs) {
cout << 0 << endl;
}
return 0;
}
vector<int> primes = generatePrimes(max_n);
vector<long long> dp(max_n + 1, 0);
dp[0] = 1;
for (int p : primes) {
for (int i = p; i <= max_n; i++) {
dp[i] += dp[i - p];
}
}
for (int n : inputs) {
cout << dp[n] << endl;
}
return 0;
}
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