QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#204563 | #7562. Except One | ucup-team088# | AC ✓ | 5ms | 12148kb | C++17 | 6.5kb | 2023-10-07 13:15:38 | 2023-10-07 13:15:38 |
Judging History
answer
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;
//#define int long long
typedef long long ll;
typedef unsigned long long ul;
typedef unsigned int ui;
//ll mod = 1;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000007;
const int mod17 = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
using ld = double;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
const ld pi = acosl(-1.0);
template<typename T>
void chmin(T& a, T b) {
a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
a = max(a, b);
}
template<typename T>
vector<T> vmerge(vector<T>& a, vector<T>& b) {
vector<T> res;
int ida = 0, idb = 0;
while (ida < a.size() || idb < b.size()) {
if (idb == b.size()) {
res.push_back(a[ida]); ida++;
}
else if (ida == a.size()) {
res.push_back(b[idb]); idb++;
}
else {
if (a[ida] < b[idb]) {
res.push_back(a[ida]); ida++;
}
else {
res.push_back(b[idb]); idb++;
}
}
}
return res;
}
template<typename T>
void cinarray(vector<T>& v) {
rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
rep(i, v.size()) {
if (i > 0)cout << " "; cout << v[i];
}
cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
if (n < 0) {
ll res = mod_pow(x, -n, m);
return mod_pow(res, m - 2, m);
}
if (abs(x) >= m)x %= m;
if (x < 0)x += m;
//if (x == 0)return 0;
ll res = 1;
while (n) {
if (n & 1)res = res * x % m;
x = x * x % m; n >>= 1;
}
return res;
}
//mod should be <2^31
struct modint {
int n;
modint() :n(0) { ; }
modint(ll m) {
if (m < 0 || mod <= m) {
m %= mod; if (m < 0)m += mod;
}
n = m;
}
operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
if (n == 0)return modint(1);
modint res = (a * a) ^ (n / 2);
if (n % 2)res = res * a;
return res;
}
ll inv(ll a, ll p) {
return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
fact[0] = modint(1);
for (int i = 0; i < max_n - 1; i++) {
fact[i + 1] = fact[i] * modint(i + 1);
}
factinv[max_n - 1] = modint(1) / fact[max_n - 1];
for (int i = max_n - 2; i >= 0; i--) {
factinv[i] = factinv[i + 1] * modint(i + 1);
}
}
modint comb(int a, int b) {
if (a < 0 || b < 0 || a < b)return 0;
return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
if (a < 0 || b < 0 || a < b)return 0;
return fact[a] * factinv[a - b];
}
ll gcd(ll a, ll b) {
a = abs(a); b = abs(b);
if (a < b)swap(a, b);
while (b) {
ll r = a % b; a = b; b = r;
}
return a;
}
template<typename T>
void addv(vector<T>& v, int loc, T val) {
if (loc >= v.size())v.resize(loc + 1, 0);
v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
fill(isp + 2, isp + mn, true);
for (int i = 2; i < mn; i++) {
if (!isp[i])continue;
ps.push_back(i);
for (int j = 2 * i; j < mn; j += i) {
isp[j] = false;
}
}
}*/
//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
auto res = st.lower_bound(val);
if (res == st.begin())return st.end();
res--; return res;
}
//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
auto res = st.lower_bound(val);
return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
a = a + b; return a;
}
mP operator-(mP a, mP b) {
return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
a = a - b; return a;
}
LP operator+(LP a, LP b) {
return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
a = a + b; return a;
}
LP operator-(LP a, LP b) {
return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
a = a - b; return a;
}
mt19937 mt(time(0));
const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
//int dx[4] = { 1,0,-1,0 };
//int dy[4] = { 0,1,0,-1 };
//------------------------------------
int calc(int p, int k, int t) {
vector<int> dp(t+1);
dp[0] = 1;
rep1(i, p - 1)if (i != k) {
vector<int> ndp(t+1);
rep(j, t + 1) {
ndp[j] += dp[j]; ndp[j] %= p;
if (j + 1 <= t) {
ndp[j + 1] += dp[j] * i;
ndp[j + 1] %= p;
}
}
swap(dp, ndp);
}
return dp[t];
}
int sol(int p, int k, int t) {
int res = mod_pow(p - k, t, p);
return res;
}
void expr() {
vector<int> vp = { 2,3,5,7,11,13 };
for (int p : vp) {
rep1(k, p - 1) {
rep1(t, p - 2) {
int v1 = calc(p, k, t);
int v2 = sol(p, k, t);
if (v1 != v2) {
cout << "??\n"; exit(0);
}
cout << p << " " << k << " " << t << " is " << calc(p, k, t) << "\n";
}
}
}
}
void solve(){
int p, k, t; cin >> p >> k >> t;
cout << sol(p, k, t) << "\n";
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
//cout << fixed<<setprecision(12);
//init_f();
//init();
//init2();
//while(true)
//expr();
//int t; cin >> t; rep(i, t)
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 5ms
memory: 11908kb
input:
7 5 3
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 4ms
memory: 11904kb
input:
11 6 7
output:
3
result:
ok 1 number(s): "3"
Test #3:
score: 0
Accepted
time: 4ms
memory: 11884kb
input:
3 2 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 4ms
memory: 12144kb
input:
596620183 516846890 38276329
output:
135352707
result:
ok 1 number(s): "135352707"
Test #5:
score: 0
Accepted
time: 4ms
memory: 11904kb
input:
382744931 85302262 235496559
output:
14577469
result:
ok 1 number(s): "14577469"
Test #6:
score: 0
Accepted
time: 4ms
memory: 12148kb
input:
659446013 641119314 378275666
output:
290624162
result:
ok 1 number(s): "290624162"
Test #7:
score: 0
Accepted
time: 4ms
memory: 11908kb
input:
227 163 124
output:
189
result:
ok 1 number(s): "189"
Test #8:
score: 0
Accepted
time: 4ms
memory: 12140kb
input:
197 187 19
output:
62
result:
ok 1 number(s): "62"
Test #9:
score: 0
Accepted
time: 4ms
memory: 11984kb
input:
5 3 3
output:
3
result:
ok 1 number(s): "3"
Test #10:
score: 0
Accepted
time: 0ms
memory: 12136kb
input:
7 6 4
output:
1
result:
ok 1 number(s): "1"
Test #11:
score: 0
Accepted
time: 4ms
memory: 11912kb
input:
7 1 1
output:
6
result:
ok 1 number(s): "6"
Test #12:
score: 0
Accepted
time: 4ms
memory: 11856kb
input:
782371 586755 418517
output:
298550
result:
ok 1 number(s): "298550"
Test #13:
score: 0
Accepted
time: 0ms
memory: 11908kb
input:
181081 178315 76002
output:
125177
result:
ok 1 number(s): "125177"
Test #14:
score: 0
Accepted
time: 2ms
memory: 12140kb
input:
715019 492103 446729
output:
221541
result:
ok 1 number(s): "221541"
Test #15:
score: 0
Accepted
time: 4ms
memory: 11916kb
input:
238985261 199832612 162675695
output:
65826267
result:
ok 1 number(s): "65826267"
Test #16:
score: 0
Accepted
time: 4ms
memory: 11916kb
input:
129716453 10994076 62963738
output:
5186275
result:
ok 1 number(s): "5186275"
Test #17:
score: 0
Accepted
time: 4ms
memory: 11908kb
input:
962360593 652577122 345596237
output:
814039152
result:
ok 1 number(s): "814039152"
Test #18:
score: 0
Accepted
time: 4ms
memory: 12068kb
input:
871606937 839183139 754188014
output:
466391387
result:
ok 1 number(s): "466391387"
Test #19:
score: 0
Accepted
time: 4ms
memory: 12020kb
input:
275568091 270750503 241146839
output:
252569968
result:
ok 1 number(s): "252569968"
Test #20:
score: 0
Accepted
time: 4ms
memory: 11908kb
input:
562028473 111749710 450258818
output:
63116256
result:
ok 1 number(s): "63116256"