宁波工程学院2020新生校赛(重现赛)(A,B,C,D,E 二进制优化多重背包 ,F 模拟,G bfs,H 模拟,J,L 并查集)

战绩:

 

A-恭喜小梁成为了宝可梦训练家~

签到题

#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define ll long long
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;

inline ll read()
{
	ll x=0,w=1; char c=getchar();
	while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
	while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
	return w==1?x:-x;
}
const int N=1e2+10;
int a[N],n;
int main()
{
    int _=read();while(_--)
    {
        n=read();
        int mx,mi;
        double sum=0;
        rep(i,1,n)
        {
            a[i]=read();
        }
        mx=mi=a[1];
        rep(i,1,n){
            mx=max(mx,a[i]);
            mi=min(mi,a[i]);
            sum+=a[i];
        }

        printf("MAX:%d\n",mx);
        printf("MIN:%d\n",mi);
        printf("AVG:%.2f\n",sum/n);
    }
}

B-皮(A)卡(C)皮(M)~

签到题

#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define ll long long
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;

inline ll read()
{
	ll x=0,w=1; char c=getchar();
	while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
	while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
	return w==1?x:-x;
}
const int N=1e2+10;
int a[N],n;
int main()
{
    int _=read();while(_--)
    {
        string s;
        cin>>s;
        int vis[26];
        memset(vis,0,sizeof(vis));
        for(int i=0;i<s.size();++i){
            vis[s[i]-'A']++;
        }
        if(vis['A'-'A']==0) puts("A");
        else if(vis['C'-'A']==0) puts("C");
        else if(vis['M'-'A']==0) puts("M");
        else puts("-1");
    }
}

C-杰尼杰尼

做法:n比较小  n^2枚举 计算交点,map去重即可。

#include <bits/stdc++.h>

using namespace std;

#define ll long long
ll input(){
	ll x=0,f=0;char ch=getchar();
	while(ch<'0'||ch>'9') f|=ch=='-',ch=getchar();
	while(ch>='0'&&ch<='9') x=x*10+ch-'0',ch=getchar();
	return f? -x:x;
}

#define PII pair <double,double>
#define fr first
#define sc second
#define mp make_pair

map <PII,int> p;
double k[107],b[107];

int main(){
	int n=input();

	for(int i=1;i<=n;i++) k[i]=input(),b[i]=input();

	for(int i=1;i<=n;i++){
		for(int j=i+1;j<=n;j++){
            if(k[i]==k[j]) continue;
			double x=(b[j]-b[i])/(k[i]-k[j]);
			double y=k[i]*x+b[i];
			//printf("%f %f\n",x,y);

			p[mp(x,y)]=1;
		}
	}

	if(p.size()==0) printf("No Fire Point.\n");
	else printf("%d\n",p.size());
}
/*
2
1 2
1 1
*/

D-古代遗迹:字符王国

做法:统计S串前缀各个字符的个数即可。然后枚举t串长度的区间,判断区间内 各个字符 不同的数量数是否在1以内,且只有两个字符数量不同,或者字符数量都相同也是对答案产生了贡献

#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define ll long long
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;
 
inline ll read()
{
    ll x=0,w=1; char c=getchar();
    while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
    while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
    return w==1?x:-x;
}
const int N=2e5+10;
char s[N],t[N];
int vs[30],vis[N][26],tmp[26];
int main()
{
    int _=read();while(_--)
    {
        scanf("%s%s",s+1,t+1);
        int ls=strlen(s+1);
        int lt=strlen(t+1);
        for(int i=0;i<=ls;++i){
            for(int j=0;j<26;++j) vis[i][j]=vs[j]=0;
        }
        for(int i=1;i<=lt;++i) vs[t[i]-'a']++;
 
        for(int i=1;i<=ls;++i){
            for(int j=0;j<26;++j) vis[i][j]=vis[i-1][j];
            vis[i][s[i]-'a']++;
        }
 
        int ans=0;
        for(int i=1;i+lt-1<=ls;++i){
            int l=i,r=i+lt-1;
            for(int j=0;j<26;++j) tmp[j]=vis[r][j]-vis[l-1][j];
 
            int s1=0,s2=0,flag=1;
            for(int j=0;j<26&&flag;++j){
                if(tmp[j]>vs[j]){
                    if(tmp[j]-vs[j]>1) flag=0;
                    else s1++;
                }
                else if(tmp[j]<vs[j]){
                    if(vs[j]-tmp[j]>1) flag=0;
                    else s2++;
                }
            }
            //printf("i:%d s1:%d s2:%d\n",i,s1,s2);
            if(flag&&(s1==1&&s2==1||s1==0&&s2==0))ans++;
 
        }
        printf("%d\n",ans);
 
 
 
    }
}

E-皮卡丘这么可爱,当然要.....

做法:二进制优化多重背包,详细博客:博客

F-Doctor Rabbit 的统计

做法:简单模拟没人写系列,按照题意模拟即可。

#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define ll long long
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;

inline ll read()
{
	ll x=0,w=1; char c=getchar();
	while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
	while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
	return w==1?x:-x;
}
const int N=1e2+10,M=2000;
char s[N];
struct node{
    int sex,t,ty;
}a[N];

int na[M],nv[M],n;

void print(int x)
{
    int h=x/60;
    int m=x%60;
    printf("%02d:%02d\n",h,m);
}
int main()
{
    n=read();
    int num=0;
    int start=8*60+10,en=19*60;
    rep(i,1,n)
    {
        int h,m;
        scanf("%s %d %d:%d %d",s,&a[i].sex,&h,&m,&a[i].ty);
        if(a[i].ty>37) continue;
        a[i].t=h*60+m+2;
        if(a[i].t>en) continue;
        if(a[i].sex==0) nv[a[i].t]++;
        else na[a[i].t]++;

        num++;
    }

    int en1=21*60;

    int mx=0,mi=0;
    for(int i=start;i<=en1;i+=10){
        //printf("i: ");
        //print(i);
        int flag=0;
        for(int j=i;j>=i-9;--j){
            if(na[j]){
                mi=i+3;
                flag=1;
                break;
            }
        }
        if(flag) break;
    }

    for(int i=start;i<=en1;i+=10){

        for(int j=i;j>=i-9;--j){
            if(nv[j]){
                mx=max(mx,i+5);
            }
        }
    }
    if(!num) puts("-1");
    else{
        printf("%d\n",num);
        if(mi) print(mi); else puts("-1");

        if(mx) print(mx); else puts("-1");
    }






}

G-遗迹逃亡

做法:bfs经典入门水题

#pragma GCC optimize(2)
#include<bits/stdc++.h>
 
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;
typedef long long ll;
inline ll read()
{
    ll x=0,w=1; char c=getchar();
    while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
    while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
    return w==1?x:-x;
}
 
const int N=5e2+10;
int n,m,si,sj,ei,ej;
char s[N][N];
int dir[4][2]={1,0,0,1,-1,0,0,-1},vis[N][N];
void bfs()
{
    queue<pair<int,int> >que;
    que.push({si,sj});
    vis[si][sj]=1;
    while(que.size()){
        auto now=que.front();que.pop();
        if(now.first==ei&&now.second==ej){
            puts("Yes");return ;
        }
        for(int i=0;i<4;++i){
            int x=now.first+dir[i][0];
            int y=now.second+dir[i][1];
            if(x<=0||y<=0||x>n||y>m||s[x][y]=='#') continue;
            if(vis[x][y]) continue;
            vis[x][y]=1;
            que.push({x,y});
        }
    }
    puts("No");
}
int main()
{
    n=read(),m=read();
    rep(i,1,n) {
        scanf("%s",s[i]+1);
        for(int j=1;j<=m;++j){
            if(s[i][j]=='s') si=i,sj=j;
            if(s[i][j]=='g') ei=i,ej=j;
 
        }
    }
 
    bfs();
}

H-阿罗拉联盟赛

做法:又一个题意看起来复杂,做起来很水,但是没人写的一个题。

按照题意模拟即可。

#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define ll long long
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;

inline ll read()
{
	ll x=0,w=1; char c=getchar();
	while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
	while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
	return w==1?x:-x;
}
const int N=1e5+10;
char X;
int n,A[N],B[N];
struct node
{
    int l,r,x,id;

}a[N],b[N];
bool cmp1(node a,node b)
{
    if(a.x!=b.x) return a.x>b.x;
    return a.id<b.id;
}

bool cmp2(node a,node b)
{
    if(a.x!=b.x) return a.x<b.x;
    return a.id<b.id;
}

int main()
{
    cin>>n>>X;
    rep(i,1,n) a[i].l=read();
    rep(i,1,n) a[i].r=read();

    rep(i,1,n) b[i].l=read();
    rep(i,1,n) b[i].r=read();

    rep(i,1,n) A[i]=read();
    rep(i,1,n) B[i]=read();

    rep(i,1,n) a[i].x=a[i].l+a[i].r,a[i].id=i;
    rep(i,1,n) b[i].x=b[i].l+b[i].r,b[i].id=i;

    sort(a+1,a+1+n,cmp1);
    sort(b+1,b+1+n,cmp2);


    int id1=1,id2=1;
    int sum1=0,sum2=0,ans1=0,ans2=0;

    if(X=='A') {
        while(id1<=n&&id2<=n){
            //printf("id1:%d id2:%d\n",id1,id2);

            int mi=a[A[id1]].l;
            sum1+=mi;
            b[B[id2]].r-=mi;
            if(b[B[id2]].r<=0) id2++,ans2++;

            if(id2>n) break;


            mi=b[B[id2]].l;
            sum2+=mi;
            a[A[id1]].r-=mi;
            if(a[A[id1]].r<=0) id1++,ans1++;
        }
    }
    else{
        while(id1<=n&&id2<=n){

            int mi=b[B[id2]].l;
            sum2+=mi;
            a[A[id1]].r-=mi;
            if(a[A[id1]].r<=0) id1++,ans1++;
            if(id1>n) break;

            mi=a[A[id1]].l;
            sum1+=mi;
            b[B[id2]].r-=mi;
            if(b[B[id2]].r<=0) id2++,ans2++;
        }
    }



    printf("%d %d %d %d\n",sum1,sum2,ans1,ans2);





}

J-小梁的背包

做法:经典01背包,但是他这数据 的理论时间复杂度 不支持他标程能过,可能是t个数据的n之和小于1e4

#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define ll long long
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;
 
inline ll read()
{
    ll x=0,w=1; char c=getchar();
    while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
    while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
    return w==1?x:-x;
}
const int N=1e4+10;
int n,s;
ll w[N],v[N];
pair<ll,ll>ans[N];
int main()
{
    int _=read();while(_--)
    {
        n=read(),s=read();
        rep(i,1,n) w[i]=read(),v[i]=read();
        rep(i,0,s) ans[i].first=0,ans[i].second=0;
 
 
        rep(i,1,n){
            for(int j=s;j>=w[i];--j){
                if(ans[j-w[i]].first+v[i]>ans[j].first){
                    ans[j].first=ans[j-w[i]].first+v[i];
                    ans[j].second=ans[j-w[i]].second+1;
                }
            }
        }
 
        printf("%lld %lld\n",ans[s].first,ans[s].second);
 
    }
}

L-小梁的道馆

做法:连通块、并查集水题。

#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define ll long long
#define maxn 1005
#define inf 1e9
#define pb push_back
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,a,b) for(int i=a;i>=b;i--)
using namespace std;

inline ll read()
{
	ll x=0,w=1; char c=getchar();
	while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();}
	while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();}
	return w==1?x:-x;
}
const int N=1e3+10;
int n,m,t,sz[N],cnt;
vector<int>G[N];
void bfs(int u,int cnt)
{
    queue<int>que;
    que.push(u);
    while(que.size()){
        int now=que.front();que.pop();
        sz[now]=cnt;
        for(int v:G[now]){
            if(!sz[v]){
                que.push(v);
            }
        }
    }
}
int main()
{
    n=read(),m=read(),t=read();
    for(int i=1;i<=m;++i){
        int u=read(),v=read();
        G[u].push_back(v);
        G[v].push_back(u);
    }
    for(int i=1;i<=n;++i){
        if(!sz[i]) bfs(i,++cnt);
    }
    while(t--)
    {
        int u=read(),v=read();
        if(sz[u]==sz[v])puts("YES");
        else puts("NO");
    }
}

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