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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#547037 | #6441. Ancient Magic Circle in Teyvat | yhddd | WA | 0ms | 7960kb | C++14 | 3.1kb | 2024-09-04 17:15:03 | 2024-09-04 17:15:05 |
Judging History
answer
// Problem: P9850 [ICPC2021 Nanjing R] Ancient Magic Circle in Teyvat
// Contest: Luogu
// URL: https://www.luogu.com.cn/problem/P9850
// Memory Limit: 256 MB
// Time Limit: 2000 ms
// Written by yhm.
// Start codeing:2024-09-04 16:28:27
//
// Powered by CP Editor (https://cpeditor.org)
#include<bits/stdc++.h>
#define int long long
#define mod 998244353ll
#define pii pair<int,int>
#define fi first
#define se second
#define mems(x,y) memset(x,y,sizeof(x))
#define pb push_back
using namespace std;
const int maxn=200010;
const int inf=1e18;
inline int read(){
int x=0,f=1;
char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9'){x=(x<<3)+(x<<1)+(ch-48);ch=getchar();}
return x*f;
}
bool Mbe;
int n,m;
struct edge{
int head[maxn],tot;
struct nd{
int nxt,to;
}e[maxn<<1];
void add(int u,int v){e[++tot]={head[u],v};head[u]=tot;}
}e,g;
int d[maxn];
/*
ans=|f0-f1+f2-f3+f4-f5|
f0=C(n,4)
f1=mC(n-2,2)
f2=(n-3)(\sum C(d[i],2))+C(m,2)-(\sum C(d[i],2))
f3=(n-3)c3+(\sum C(d[i],3))+(\sum (d[u]-1)(d[v]-1))-3c3
f4=(\sum cnt[i](d[i]-2))+c4
f5=(\sum C(num[u][v],2))
*/
int f0,f1,f2,f3,f4,f5,ans;
int vis[maxn],cnt[maxn],num[maxn],c3,c4;
void work(){
n=read();m=read();
for(int i=1;i<=m;i++){
int u=read(),v=read();
e.add(u,v),e.add(v,u);
d[u]++,d[v]++;
}
for(int u=1;u<=n;u++){
for(int i=e.head[u];i;i=e.e[i].nxt){
int v=e.e[i].to;
if(d[u]>d[v]||(d[u]==d[v]&&u>v))g.add(u,v);
}
}
f0=n*(n-1)/2*(n-2)/3*(n-3)/4;
f1=m*(n-2)*(n-3)/2;
for(int i=1;i<=n;i++)f2+=(n-3)*d[i]*(d[i]-1)/2;
f2+=m*(m-1)/2;
for(int i=1;i<=n;i++)f2-=d[i]*(d[i]-1)/2;
for(int u=1;u<=n;u++){
for(int i=g.head[u];i;i=g.e[i].nxt){
int v=g.e[i].to;
vis[v]=i;
}
for(int i=g.head[u];i;i=g.e[i].nxt){
int v=g.e[i].to;
for(int j=g.head[v];j;j=g.e[j].nxt){
int w=g.e[j].to;
if(vis[w]){
++c3;++cnt[u],++cnt[v],++cnt[w];
num[i]++,++num[j],++num[vis[w]];
}
}
}
for(int i=g.head[u];i;i=g.e[i].nxt){
int v=g.e[i].to;
vis[v]=0;
}
}
f3=(n-3)*c3;
for(int i=1;i<=n;i++)f3+=d[i]*(d[i]-1)/2*(d[i]-2)/3;
for(int u=1;u<=n;u++){
for(int i=g.head[u];i;i=g.e[i].nxt){
int v=e.e[i].to;
f3+=(d[u]-1)*(d[v]-1);
}
}
f3-=3*c3;
for(int u=1;u<=n;u++){
for(int i=g.head[u];i;i=g.e[i].nxt){
int v=g.e[i].to;
for(int j=e.head[v];j;j=e.e[j].nxt){
int w=e.e[j].to;
if(d[u]>d[w]||(d[u]==d[w]&&u>w))c4+=vis[w]++;
}
}
for(int i=g.head[u];i;i=g.e[i].nxt){
int v=g.e[i].to;
for(int j=e.head[v];j;j=e.e[j].nxt){
int w=e.e[j].to;
vis[w]=0;
}
}
}
f4=c4;
for(int i=1;i<=n;i++)f4+=cnt[i]*(d[i]-2);
for(int i=1;i<=m;i++)f5+=num[i]*(num[i]-1)/2;
// cout<<f0<<" "<<f1<<" "<<f2<<" "<<f3<<" "<<f4<<" "<<f5<<"\n";
ans=abs(f0-f1+f2-f3+f4-f5);
printf("%lld\n",ans);
}
// \
444
bool Med;
int T;
signed main(){
// freopen(".in","r",stdin);
// freopen(".out","w",stdout);
// ios::sync_with_stdio(0);
// cin.tie(0);cout.tie(0);
// cerr<<(&Mbe-&Med)/1048576.0<<" MB\n";
T=1;
while(T--)work();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 7956kb
input:
7 6 1 2 1 3 1 4 2 3 2 4 3 4
output:
3
result:
ok 1 number(s): "3"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
4 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 7960kb
input:
4 1 1 2
output:
0
result:
ok 1 number(s): "0"
Test #4:
score: -100
Wrong Answer
time: 0ms
memory: 7876kb
input:
4 2 1 2 1 3
output:
1
result:
wrong answer 1st numbers differ - expected: '0', found: '1'