fjnu第九届“蓝桥杯” 题解

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题目传送门\

A题:

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
const int  co[2][2] = { 1, 0, 0, 1 };
int ans = 0;
int  n = 17, m = 12;
void dfs(int x, int y)
{
	if (x == n&&m == y)
	{
		ans++;
		return;
	}
	for (int i = 0; i < 2; i++){
		int fx = x + co[i][0];
		int fy = y + co[i][1];
		if (y == 2 * x||x > n||y > m) continue;
		dfs(fx, fy);
	}
}
int main()
{
	dfs(1, 1);
	printf("%d\n",ans);
	//system("pause");
	return 0;
}


B题:

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#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
int ans = 0;
bool vis[20];
int num[20];
void dfs(int cnt)
{
	if (cnt == 10){
		int num1, num2, num3;
		num1 = num2 = num3 = 0;
		for (int i = 0; i < 4; i++) num1 = num1 * 10 + num[i];
		if (num1>999){
			for (int i = 4; i < 7; i++) num2 = num2 * 10 + num[i];
			if (num2>99){
				for (int i = 7; i < 10; i++) num3 = num3 * 10 + num[i];
				if (num3>99 && num1 - num2 == num3) ans++, printf("%d - %d = %d\n", num1, num2, num3);
			}
		}
	}
	for (int i = 0; i < 10; i++){
		if (vis[i]) continue;
		vis[i] = 1;
		num[cnt] = i;
		dfs(cnt + 1);
		vis[i] = 0;
	}
}
int main()
{
	dfs(0);
	printf("%d\n",ans);
	//system("pause");
	return 0;
}

C题:

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
const int mod = 1e9+7,mx = 2e2+10;
int c[mx][mx];
void init()
{
	for (int i = 1; i < mx; i++){
		c[i][0] = c[i][i] = 1;
		for (int j = 1; j < i; j++)
			c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % mod;
	}
}
int main()
{
	init();
	printf("%d\n", c[110][50]);
	//system("pause");
	return 0;
}


D题:

#include<iostream>
#include<algorithm>
#include<cstring>
using namespace std;
typedef long long ll;
const int co[2][2]={0,1,1,0};
const int mx = 1e5+10;
int head[mx],n,m,tot,ans;
struct node{
    int y;
    int nxt;
    node(){}
    node(int yy,int nx):y(yy),nxt(nx){}
}Edge[mx<<2];
void AddEdge(int x,int y)
{
    Edge[tot] = node(y,head[x]);
    head[x] = tot++;
}
bool vis[mx];
void dfs(int x)
{
    if(vis[x]) return ;
    vis[x] = 1;
    ans++;
    for(int i=head[x];~i;i=Edge[i].nxt){
        int son = Edge[i].y;
        if(!vis[son]) dfs(son);
    }
}
int main()
{
    int t,a,b;
    scanf("%d",&t);
    while(t--){
        memset(head,-1,sizeof(head));
        ans = tot = 0;
        scanf("%d%d",&n,&m);
        for(int i=1;i<=m;i++){
            scanf("%d%d",&a,&b);
            AddEdge(a,b);
            AddEdge(b,a);
        }
        memset(vis,0,sizeof(vis));
        dfs(1);
        if(ans==n) puts("YES");
        else puts("NO");
    }
    return 0;
}

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E题:

#include<iostream>
#include<algorithm>
#include<cstring>
using namespace std;
typedef long long ll;
const int mx = 1e3+10;
int n,out[mx];
struct node{
    int x,y;
    node(){}
    node(int xx,int yy):x(xx),y(yy){}
    bool operator < (node A)const
    {
        if(x==A.x) return y < A.y;
        return x < A.x;
    }
}s[mx];
int main()
{
    scanf("%d",&n);
    for(int i=1;i<=n;i++) scanf("%d%d",&s[i].x,&s[i].y);
    sort(s+1,s+1+n);
    int ans = 0;
    memset(out,0,sizeof(out));
    for(int i=1;i<=n;i++){
        int maxx = -20000,pos = -1;
        for(int j=i-1;j>0;j--){
            if(s[i].y>=s[j].y)
            {
            	if(!out[j]&&s[j].y>maxx){
            		maxx = s[j].y;
            		pos = j;
				}
            }
        }
        if(pos!=-1) out[pos]++;
        else ans++;
    }
    printf("%d\n",ans);
    return 0;
}


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