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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#390266 | #4472. 珍珠 | bachbeo2007 | 100 ✓ | 59ms | 15268kb | C++23 | 4.0kb | 2024-04-15 11:04:02 | 2024-04-15 11:04:03 |
Judging History
answer
// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),erase(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<int,pii>
#define mpp make_pair
#define fi first
#define se second
const int inf=1e18;
const int mod=998244353;
const int maxn=200005;
const int B=650;
const int maxs=655;
const int maxm=200005;
const int maxq=1000005;
const int maxl=25;
const int maxa=1000000;
const int root=3;
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
const int iroot=power(3,mod-2);
const int base=101;
void fft(vector<int> &a,bool invert){
int n=(int)a.size();
for(int i=1,j=0;i<n;i++){
int bit=n>>1;
while(j&bit){j^=bit;bit>>=1;}
j^=bit;
if(i<j) swap(a[i],a[j]);
}
for(int len=2;len<=n;len<<=1){
int wn=power((invert?iroot:root),(mod-1)/len);
for(int i=0;i<n;i+=len){
int w=1;
for(int j=0;j<len/2;j++){
int u=a[i+j],v=a[i+j+len/2]*w%mod;
a[i+j]=(u+v)%mod;
a[i+j+len/2]=(u-v+mod)%mod;
w=w*wn%mod;
}
}
}
if(invert){
int dd=power(n,mod-2);
for(int i=0;i<n;i++) a[i]=a[i]*dd%mod;
}
return;
}
vector<int> mul(vector<int> a,vector<int> b){
int n=(int)a.size()+(int)b.size(),sz=1;
while(sz<n) sz<<=1;
a.resize(sz);b.resize(sz);
fft(a,false);fft(b,false);
for(int i=0;i<sz;i++) a[i]=a[i]*b[i]%mod;
fft(a,true);
return a;
}
int fac[maxn],dfac[maxn],inv[maxn];
int C(int n,int k){
if(k>n || k<0 || n<0) return 0;
return fac[n]*dfac[k]%mod*dfac[n-k]%mod;
}
void combi(int n){
fac[0]=inv[0]=1;
for(int i=1;i<=n;i++) fac[i]=fac[i-1]*i%mod;
dfac[n]=power(fac[n],mod-2);
for(int i=n;i>=1;i--){
dfac[i-1]=dfac[i]*i%mod;
inv[i]=dfac[i]*fac[i-1]%mod;
}
}
int F0[maxn];
void solve(){
int D,N,M;cin >> D >> N >> M;
if(N-2*M<0){
cout << 0 << '\n';
return;
}
else if(N-2*M>=D){
cout << power(D,N) << '\n';
return;
}
combi(D);
F0[0]=1;
for(int i=1;i<=D;i++) F0[i]=((N&1)?-1:1)*C(i-1,N-2*M);
vector<int> a(D+1,0),b(D+1,0);
for(int i=0;i<=D;i++){
a[i]=(power(2*i-D,N)*dfac[D-i]%mod+mod)%mod;
b[i]=power(2,D-i)*F0[i]%mod*dfac[D-i]%mod;
}
a=mul(a,b);
int res=0;
for(int i=D;i<=2*D;i++){
int val=a[i]*(((i-D)&1)?-1:1)*dfac[i-D]%mod;
res=(res+val+mod)%mod;
}
/*
for(int i=0;i<=D;i++) for(int j=D-i;j<=D;j++){
int val=power(2*i-D,N)*power(2,D-j)%mod*(((i+j-D)&1)?-1:1)*F0[j]%mod;
val=val*dfac[D-i]%mod*dfac[D-j]%mod*dfac[i+j-D]%mod;
res=(res+val+mod)%mod;
}
*/
res=res*fac[D]%mod*power((mod+1)/2,D)%mod;
cout << res << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
詳細信息
Test #1:
score: 4
Accepted
time: 1ms
memory: 7984kb
input:
2 7 3
output:
128
result:
ok 1 number(s): "128"
Test #2:
score: 4
Accepted
time: 0ms
memory: 3884kb
input:
2 20 9
output:
1048576
result:
ok 1 number(s): "1048576"
Test #3:
score: 4
Accepted
time: 1ms
memory: 7760kb
input:
99 97 30
output:
893559494
result:
ok 1 number(s): "893559494"
Test #4:
score: 4
Accepted
time: 1ms
memory: 7792kb
input:
100 97 29
output:
870441375
result:
ok 1 number(s): "870441375"
Test #5:
score: 4
Accepted
time: 1ms
memory: 7832kb
input:
97 100 16
output:
114531619
result:
ok 1 number(s): "114531619"
Test #6:
score: 4
Accepted
time: 1ms
memory: 7728kb
input:
98 98 38
output:
910698957
result:
ok 1 number(s): "910698957"
Test #7:
score: 4
Accepted
time: 1ms
memory: 7924kb
input:
100 99 30
output:
267167918
result:
ok 1 number(s): "267167918"
Test #8:
score: 4
Accepted
time: 2ms
memory: 8008kb
input:
4000 3998 602
output:
267823033
result:
ok 1 number(s): "267823033"
Test #9:
score: 4
Accepted
time: 2ms
memory: 7884kb
input:
3999 3998 478
output:
7661427
result:
ok 1 number(s): "7661427"
Test #10:
score: 4
Accepted
time: 2ms
memory: 7904kb
input:
4000 3999 18
output:
46680613
result:
ok 1 number(s): "46680613"
Test #11:
score: 4
Accepted
time: 0ms
memory: 7904kb
input:
4000 3998 683
output:
689956672
result:
ok 1 number(s): "689956672"
Test #12:
score: 4
Accepted
time: 2ms
memory: 7948kb
input:
3998 3998 1743
output:
625630497
result:
ok 1 number(s): "625630497"
Test #13:
score: 4
Accepted
time: 1ms
memory: 7748kb
input:
300 999999997 499999880
output:
311178114
result:
ok 1 number(s): "311178114"
Test #14:
score: 4
Accepted
time: 1ms
memory: 8008kb
input:
297 999999999 499999955
output:
111728734
result:
ok 1 number(s): "111728734"
Test #15:
score: 4
Accepted
time: 1ms
memory: 8020kb
input:
298 999999998 499999978
output:
873407954
result:
ok 1 number(s): "873407954"
Test #16:
score: 4
Accepted
time: 0ms
memory: 3652kb
input:
100000 999999998 0
output:
403169128
result:
ok 1 number(s): "403169128"
Test #17:
score: 4
Accepted
time: 54ms
memory: 14776kb
input:
99999 100000 1
output:
520922757
result:
ok 1 number(s): "520922757"
Test #18:
score: 4
Accepted
time: 50ms
memory: 14844kb
input:
99998 99998 2
output:
776350879
result:
ok 1 number(s): "776350879"
Test #19:
score: 4
Accepted
time: 55ms
memory: 14608kb
input:
99998 999999998 499972261
output:
805937760
result:
ok 1 number(s): "805937760"
Test #20:
score: 4
Accepted
time: 52ms
memory: 14640kb
input:
99997 999999999 499975678
output:
265933807
result:
ok 1 number(s): "265933807"
Test #21:
score: 4
Accepted
time: 59ms
memory: 15040kb
input:
100000 1000000000 499958129
output:
59384653
result:
ok 1 number(s): "59384653"
Test #22:
score: 4
Accepted
time: 52ms
memory: 14816kb
input:
99998 999999999 499978565
output:
897679746
result:
ok 1 number(s): "897679746"
Test #23:
score: 4
Accepted
time: 53ms
memory: 15012kb
input:
100000 999999999 499970692
output:
169325977
result:
ok 1 number(s): "169325977"
Test #24:
score: 4
Accepted
time: 51ms
memory: 14632kb
input:
99997 1000000000 499976402
output:
562099965
result:
ok 1 number(s): "562099965"
Test #25:
score: 4
Accepted
time: 59ms
memory: 15268kb
input:
99997 1000000000 499978285
output:
681053406
result:
ok 1 number(s): "681053406"
Extra Test:
score: 0
Extra Test Passed