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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 |
---|---|---|---|---|---|---|---|---|---|
#308243 | #8015. 鸡 | do_while_true | 100 ✓ | 0ms | 3668kb | C++14 | 3.7kb | 2024-01-19 19:36:52 | 2024-01-19 19:36:52 |
Judging History
answer
//O(n)
#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<ctime>
#include<random>
#include<assert.h>
#define pb emplace_back
#define mp make_pair
#define fi first
#define se second
#define dbg(x) cerr<<"In Line "<< __LINE__<<" the "<<#x<<" = "<<x<<'\n'
#define dpi(x,y) cerr<<"In Line "<<__LINE__<<" the "<<#x<<" = "<<x<<" ; "<<"the "<<#y<<" = "<<y<<'\n'
#define DE(fmt,...) fprintf(stderr, "Line %d : " fmt "\n",__LINE__,##__VA_ARGS__)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int>pii;
typedef pair<ll,int>pli;
typedef pair<ll,ll>pll;
typedef pair<int,ll>pil;
typedef vector<int>vi;
typedef vector<ll>vll;
typedef vector<pii>vpii;
typedef vector<pll>vpll;
template<typename T>T cmax(T &x, T y){return x=x>y?x:y;}
template<typename T>T cmin(T &x, T y){return x=x<y?x:y;}
template<typename T>
T &read(T &r){
r=0;bool w=0;char ch=getchar();
while(ch<'0'||ch>'9')w=ch=='-'?1:0,ch=getchar();
while(ch>='0'&&ch<='9')r=r*10+(ch^48),ch=getchar();
return r=w?-r:r;
}
template<typename T1,typename... T2>
void read(T1 &x,T2& ...y){read(x);read(y...);}
int mod,inv6;
inline void cadd(int &x,int y){x=(x+y>=mod)?(x+y-mod):(x+y);}
inline void cdel(int &x,int y){x=(x-y<0)?(x-y+mod):(x-y);}
inline int add(int x,int y){return (x+y>=mod)?(x+y-mod):(x+y);}
inline int del(int x,int y){return (x-y<0)?(x-y+mod):(x-y);}
int qpow(int x,int y){
int s=1;
while(y){
if(y&1)s=1ll*s*x%mod;
x=1ll*x*x%mod;
y>>=1;
}
return s;
}
const int N=3010;
int n,m;
int f[N],g[N],d[10];
int ans;
void calc1(){//c[i]>0
int s=add(f[n-2],f[n-2]);
for(int i=2;i<n;i++)cadd(s,1ll*f[i-2]*f[n-i-1]%mod);
cadd(ans,1ll*s*((1ll*m*(m-1)/2))%mod);
}
int i1(int m){
return 1ll*m*(m+1)/2%mod;
}
int i2(int m){
ll x=1ll*m*(m+1)/2;
if(x%3==0)return x/3%mod*(2*m+1)%mod;
return (2*m+1)/3*x%mod;
}
int i3(int m){return 1ll*i1(m)*i1(m)%mod;}
void calc2(){//减去c[i]>0多算的
int sum=0;
int sum0=(n&1),sum1=0,sum2=0;
for(int i=1;i<=n;i+=2){
//{[x0x0x]0a|0...}
if(i+2<=n)cadd(sum1,f[max(0,n-i-3)]);
//{..0|a0[x0x0x]0b|0..}
if(i+4<=n)cadd(sum2,g[max(0,n-i-4)]);
}
cadd(sum,1ll*sum0*(1ll*m*(m-1)/2%mod)%mod);
sum1=add(sum1,sum1);
// for(int i=1;i<=m;i++)
// cadd(sum,1ll*sum1*(i-1)%mod*(i-1)%mod);
cadd(sum,1ll*m*sum1%mod);
cdel(sum,2ll*sum1%mod*i1(m)%mod);
cadd(sum,1ll*sum1%mod*i2(m)%mod);
// for(int i=1;i<=m;i++)
// cadd(sum,1ll*sum2*(i-1)%mod*(i-1)%mod*(i-1)%mod);
cadd(sum,1ll*sum2*i3(m)%mod);
cdel(sum,3ll*sum2%mod*i2(m)%mod);
cadd(sum,3ll*sum2%mod*i1(m)%mod);
cdel(sum,1ll*sum2*m%mod);
cdel(ans,sum);
}
void calc3(){//c[i]=0
int sum=0;
int sum1=0,sum2=0;
for(int i=2;i<=n;i++){
//{[0000]a|0...}
if(i+1<=n)cadd(sum1,2ll*((i-1)/2)*m%mod*f[max(0,n-i-2)]%mod);
//{..0|a[00000]b|0..}
if(i+2<=n)cadd(sum2,1ll*((i-2)/2)*m%mod*g[max(0,n-i-2)]%mod);
}
cadd(sum,1ll*n/2*m%mod);
cadd(sum,1ll*sum1*m%mod);
cadd(sum,1ll*sum2*m%mod*m%mod);
cadd(ans,sum);
}
signed main(){
// #ifdef do_while_true
// assert(freopen("chicken.in","r",stdin));
// assert(freopen("chicken.out","w",stdout));
// #endif
read(n,m,mod);
f[0]=1;f[1]=m+1;
for(int i=2;i<=n;i++)f[i]=add(f[i-1],1ll*m*f[i-2]%mod);
// for(int i=0;i<=n;i++)
// for(int j=0;i+j<=n;j++)
// cadd(g[i+j],1ll*f[max(i-1,0)]*f[max(j-1,0)]%mod);
g[0]=1;
d[1]=2;
d[2]=(2ll*m-1)%mod;
d[3]=del(0,2ll*m%mod);
d[4]=del(0,1ll*m*m%mod);
for(int i=1;i<=n;i++){
for(int j=1;j<=4;j++)
cadd(g[i],1ll*d[j]*g[i-j]%mod);
}
calc1();
calc2();
calc3();
cadd(ans,f[n]);
cout<<ans<<'\n';
#ifdef do_while_true
// cerr<<'\n'<<"Time:"<<1.0*clock()/CLOCKS_PER_SEC*1000<<" ms"<<'\n';
#endif
return 0;
}
詳細信息
Test #1:
score: 5
Accepted
time: 0ms
memory: 3524kb
input:
5 5 1004326439
output:
1281
result:
ok 1 number(s): "1281"
Test #2:
score: 5
Accepted
time: 0ms
memory: 3664kb
input:
5 4 1002682123
output:
649
result:
ok 1 number(s): "649"
Test #3:
score: 5
Accepted
time: 0ms
memory: 3588kb
input:
287 1 1003060133
output:
328406329
result:
ok 1 number(s): "328406329"
Test #4:
score: 5
Accepted
time: 0ms
memory: 3652kb
input:
279 1 1004432189
output:
222258837
result:
ok 1 number(s): "222258837"
Test #5:
score: 5
Accepted
time: 0ms
memory: 3524kb
input:
300 1 1005912203
output:
707086810
result:
ok 1 number(s): "707086810"
Test #6:
score: 5
Accepted
time: 0ms
memory: 3584kb
input:
288 5 1003307827
output:
964512417
result:
ok 1 number(s): "964512417"
Test #7:
score: 5
Accepted
time: 0ms
memory: 3484kb
input:
281 5 1008854383
output:
755282155
result:
ok 1 number(s): "755282155"
Test #8:
score: 5
Accepted
time: 0ms
memory: 3512kb
input:
270 5 1007619367
output:
431828317
result:
ok 1 number(s): "431828317"
Test #9:
score: 5
Accepted
time: 0ms
memory: 3568kb
input:
292 5 1002449813
output:
183613546
result:
ok 1 number(s): "183613546"
Test #10:
score: 5
Accepted
time: 0ms
memory: 3664kb
input:
300 5 1005897091
output:
915308166
result:
ok 1 number(s): "915308166"
Test #11:
score: 5
Accepted
time: 0ms
memory: 3572kb
input:
45 50 1009100993
output:
940158800
result:
ok 1 number(s): "940158800"
Test #12:
score: 5
Accepted
time: 0ms
memory: 3648kb
input:
49 50 1001428049
output:
1045902
result:
ok 1 number(s): "1045902"
Test #13:
score: 5
Accepted
time: 0ms
memory: 3512kb
input:
49 50 1007851073
output:
922264698
result:
ok 1 number(s): "922264698"
Test #14:
score: 5
Accepted
time: 0ms
memory: 3520kb
input:
50 50 1005625571
output:
442192770
result:
ok 1 number(s): "442192770"
Test #15:
score: 5
Accepted
time: 0ms
memory: 3480kb
input:
290 300 1005068699
output:
484359497
result:
ok 1 number(s): "484359497"
Test #16:
score: 5
Accepted
time: 0ms
memory: 3568kb
input:
270 300 1003440637
output:
899894137
result:
ok 1 number(s): "899894137"
Test #17:
score: 5
Accepted
time: 0ms
memory: 3512kb
input:
300 300 1008561979
output:
33407754
result:
ok 1 number(s): "33407754"
Test #18:
score: 5
Accepted
time: 0ms
memory: 3668kb
input:
2991 3000 1004658859
output:
167444547
result:
ok 1 number(s): "167444547"
Test #19:
score: 5
Accepted
time: 0ms
memory: 3608kb
input:
2870 3000 1004054173
output:
860666062
result:
ok 1 number(s): "860666062"
Test #20:
score: 5
Accepted
time: 0ms
memory: 3588kb
input:
3000 3000 1009539589
output:
696222334
result:
ok 1 number(s): "696222334"