codeforces 17D Notepad
codeforces 17D Notepad
题意
题解
TBD
更新模板(phi、欧拉降幂)
代码
#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define rep(i, a, b) for(int i=(a); i<(b); i++)
#define sz(x) (int)x.size()
#define de(x) cout<< #x<<" = "<<x<<endl
#define dd(x) cout<< #x<<" = "<<x<<" "
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
string B, N;
ll c, b, n;
ll add(ll a, ll b, int P) {
return (a + b) % P;
}
ll mul(ll a, ll b, int P) {
return a * b % P;
}
ll calc(string s, int P) {
ll res = 0;
rep(i, 0, sz(s)) res = add(mul(res, 10, P), s[i] - '0', P);
return res;
}
int phi(int n) {
int ans=n;
for(int i=2;i*i<=n;i++) if(n%i==0) {
ans=ans/i*(i-1);
while(n%i==0)n/=i;
}
if(n>1)ans=ans/n*(n-1);
return ans;
}
ll kpow(ll a, ll b, int P) {
ll res = 1;
while(b) {
if(b & 1) res = mul(res, a, P);
a = mul(a, a, P);
b >>= 1;
}
return res;
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(0);
cin >> B >> N >> c;
int pc = phi(c);
b = calc(B, c);
n = calc(N, pc);
n = add(n, pc - 1, pc);
ll ans;
if(sz(N) < 11) {
ll x = 0;
rep(i, 0, sz(N)) x = x * 10 + N[i] - '0';
ans = kpow(b, x - 1, c);
} else {
ans = kpow(b, n + pc, c);
}
b = add(b, c - 1, c);
ans = mul(ans, b, c);
cout << (ans ? ans : c) << endl;
return 0;
}