AtCoder Beginner Contest 131 Solution

前言

这次ABC还是有一点难度的吧.

TaskA Security

Solution

直接模拟就好了.

Code

/*
  mail: mleautomaton@foxmail.com
  author: MLEAutoMaton
  This Code is made by MLEAutoMaton
*/
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<set>
#include<map>
#include<iostream>
using namespace std;
#define ll long long
#define re register
#define file(a) freopen(a".in","r",stdin);freopen(a".out","w",stdout)
inline int gi(){
	int f=1,sum=0;char ch=getchar();
	while(ch>'9' || ch<'0'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0' && ch<='9'){sum=(sum<<3)+(sum<<1)+ch-'0';ch=getchar();}
	return f*sum;
}
char s[100010];
int main(){
	scanf("%s",s+1);
	for(int i=1;i<strlen(s+1);i++){
		if(s[i]==s[i+1])return puts("Bad"),0;
	}
	puts("Good");
	return 0;
}

TaskB Bite Eating

Solution

直接枚举删除那个然后判断就行了.

Code

/*
  mail: mleautomaton@foxmail.com
  author: MLEAutoMaton
  This Code is made by MLEAutoMaton
*/
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<set>
#include<map>
#include<iostream>
using namespace std;
#define ll long long
#define re register
#define file(a) freopen(a".in","r",stdin);freopen(a".out","w",stdout)
inline int gi(){
	int f=1,sum=0;char ch=getchar();
	while(ch>'9' || ch<'0'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0' && ch<='9'){sum=(sum<<3)+(sum<<1)+ch-'0';ch=getchar();}
	return f*sum;
}
int n,L,a[210];
int main(){
	n=gi();L=gi();int Sum=0;
	for(int i=1;i<=n;i++)a[i]=L+i-1,Sum+=a[i];
	int Min=1e9+10,ans;
	for(int i=1;i<=n;i++){
		int sum=0;
		for(int j=1;j<=n;j++)if(i!=j)sum+=a[j];
		
		if(abs(Sum-sum)<Min){Min=abs(Sum-sum);ans=sum;}
	}
	printf("%d
",ans);
	return 0;
}

TaskC Anti-Division

Solution

求个(gcd)容斥就行了.

Code

/*
  mail: mleautomaton@foxmail.com
  author: MLEAutoMaton
  This Code is made by MLEAutoMaton
*/
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<set>
#include<map>
#include<iostream>
using namespace std;
#define ll long long
#define int ll
#define re register
#define file(a) freopen(a".in","r",stdin);freopen(a".out","w",stdout)
inline int gi(){
	int f=1,sum=0;char ch=getchar();
	while(ch>'9' || ch<'0'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0' && ch<='9'){sum=(sum<<3)+(sum<<1)+ch-'0';ch=getchar();}
	return f*sum;
}
ll get(ll a,ll b,ll c){
	return (b-a+1)-(b/c-(a-1)/c);
}
ll gcd(ll a,ll b){
	if(!b)return a;
	return gcd(b,a%b);
}
ll a,b,sumc,sumd,sumcd;int c,d;
signed main(){
	scanf("%lld%lld%lld%lld",&a,&b,&c,&d);
	printf("%lld
",get(a,b,c)+get(a,b,d)-get(a,b,1ll*c*d/gcd(c,d)));
	return 0;
}

TaskD Megalomania

Solution

直接按照最晚完成时间排序然后模拟就行.

Code

/*
  mail: mleautomaton@foxmail.com
  author: MLEAutoMaton
  This Code is made by MLEAutoMaton
*/
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<set>
#include<map>
#include<iostream>
using namespace std;
#define ll long long
#define int ll
#define re register
#define file(a) freopen(a".in","r",stdin);freopen(a".out","w",stdout)
inline int gi(){
	int f=1,sum=0;char ch=getchar();
	while(ch>'9' || ch<'0'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0' && ch<='9'){sum=(sum<<3)+(sum<<1)+ch-'0';ch=getchar();}
	return f*sum;
}
struct node{int x,y;}job[200010];
int n;
bool operator<(const node a,const node b){
	return a.y<b.y || (a.y==b.y && a.x<b.x);
}
signed main(){
	n=gi();
	for(int i=1;i<=n;i++)job[i].x=gi(),job[i].y=gi();
	sort(&job[1],&job[n+1]);int now=0;
	for(int i=1;i<=n;i++){
		now+=job[i].x;
		if(now>job[i].y)return puts("No"),0;
	}
	puts("Yes");
	return 0;
}

TaskE Friendships

Solution

考虑菊花图是最多的,那么一步一步往菊花图里面加边就行了.

Code

/*
  mail: mleautomaton@foxmail.com
  author: MLEAutoMaton
  This Code is made by MLEAutoMaton
*/
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<set>
#include<map>
#include<iostream>
using namespace std;
#define ll long long
#define re register
#define file(a) freopen(a".in","r",stdin);freopen(a".out","w",stdout)
inline int gi(){
	int f=1,sum=0;char ch=getchar();
	while(ch>'9' || ch<'0'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0' && ch<='9'){sum=(sum<<3)+(sum<<1)+ch-'0';ch=getchar();}
	return f*sum;
}
int n,k;
struct node{int x,y;}edge[1000010];
int main(){
	n=gi();k=gi();
	int tot=(n-2)*(n-1)/2,m=n-1;
	for(int i=1;i<=m;i++)edge[i].x=n,edge[i].y=i;
	if(k>tot)return puts("-1"),0;int now=2,Q=1;
	n--;
	while(tot!=k){
		tot--;
		edge[++m]=(node){now,(now+Q-1)%n+1};
		now++;now=(now-1)%n+1;
		if(now==2)Q++;
	}
	printf("%d
",m);
	for(int i=1;i<=m;i++)
		printf("%d %d
",edge[i].x,edge[i].y);
	return 0;
}

TaskF Must Be Rectangular!

Solution

(yyb)就是神仙!!!
考虑把一个点的(x,y)分割,那么就相当于(x)->(y)连边,然后就有考虑一个联通块肯定可以搞成完全图,那么完全图的边数就是点数...
最后直接减去最初的点数就没了.

Code

/*
  mail: mleautomaton@foxmail.com
  author: MLEAutoMaton
  This Code is made by MLEAutoMaton
*/
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<queue>
#include<set>
#include<map>
#include<iostream>
using namespace std;
#define ll long long
#define re register
#define file(a) freopen(a".in","r",stdin);freopen(a".out","w",stdout)
#define MAX 100100
inline int gi(){
	int f=1,sum=0;char ch=getchar();
	while(ch>'9' || ch<'0'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0' && ch<='9'){sum=(sum<<3)+(sum<<1)+ch-'0';ch=getchar();}
	return f*sum;
}
int n,f[MAX<<1];
int getf(int x){return x==f[x]?x:f[x]=getf(f[x]);}
int sz1[MAX<<1],sz2[MAX<<1];
ll ans;
int main(){
	n=gi();
	for(int i=1;i<MAX+MAX;++i)f[i]=i;
	for(int i=1;i<=n;++i)
	{
		int u=gi(),v=gi();
		f[getf(u)]=getf(v+MAX);
	}
	for(int i=1;i<=MAX;++i)
		sz1[getf(i)]+=1;
	for(int i=MAX+1;i<MAX+MAX;++i)
		sz2[getf(i)]+=1;
	for(int i=1;i<MAX+MAX;++i)ans+=1ll*sz1[i]*sz2[i];
	cout<<ans-n<<endl;
	return 0;
}