NOJ AC50记录

NOJ刷题总结

+++

HDU1969 Pie

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>

#define P acos(-1.0)

using namespace std;

const int N = 10010;

int n, f, a[N];

bool more_pie(double u)
{
    int cnt = 0;
    for(int i = 0; i < n; i++ )
        cnt += (int)(P * a[i] * a[i] / u);
    
    if(cnt >= f + 1) return true;
    else return false;
}

int main()
{
    int t;
    scanf("%d", &t);
    while(t--)
    {
        int res = 0;
        scanf("%d%d", &n, &f);
        for(int i = 0; i < n; i++ ){ scanf("%d", a + i); res = max(res, a[i]);}
        
        double L = 0, R = res * res * P;
        while(R - L >= 1e-6)
        {
            double mid = (L + R) / 2;
            if(more_pie(mid)) L = mid;
            else R = mid;
        }
        printf("%.4lf
", R);
    }
    return 0;
}

HDU1087 super jump

//accode O(n²)
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;

const int N = 1010;
int a[N], dp[N];

int main()
{
    int m;
    while(cin >> m && m)
    {
        memset(dp, 0, sizeof dp);
        
        for(int i = 1; i <= m; i++ )
        {
            scanf("%d", a + i);
            dp[i] = a[i];
        }
        int res = a[1];
        
        for(int i = 2; i <= m; i++ )
            for(int j = 1; j < i; j++ )
                if(a[i] > a[j]) {dp[i] = max(dp[i], dp[j] + a[i]); res = max(res, dp[i]);}
        
        cout << res << endl;
            
    }
    return 0;
}

HDU1004

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <map>

#define x first
#define y second

using namespace std;

map<string,int>p;

int main()
{
    int n;
    while(scanf("%d",&n),n)
    {
        p.clear();
        
        string s;
        for(int i = 0; i < n; i++ )
        {
            cin >> s;
            p[s]++;
        }
        
        int max=0;
        string ss;
        for(auto u : p)
            if(u.y > max) {max = u.y; ss = u.x;}
    
        cout<<ss<<endl;
    }
    return 0;
}

HDU1728 迷宫(坑死人的bfs)

卡了好几个小时

本来觉得普通的宽搜加上每步都判断是否转弯可以ac，结果样例都一直过不去。

之后就转变思路，一次搜索一个方向的所有点，直到撞墙或者到达边界，然后把符合条件的加入队列。

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>

using namespace std;

const int N = 105;
int dx[4] = {-1, 0, 1, 0}, dy[4] = {0, 1, 0, -1};
char g[N][N];
int vis[N][N];
int m, n;
int k, x1, y1, x2, y2;
struct Node
{
    int x, y;
    int cur;
}ss, ee;

void bfs(int x, int y)
{
    memset(vis, 0, sizeof vis);
    queue<Node> q;
    
    vis[x][y] = 1;
    ss.x = x, ss.y = y, ss.cur = -1;
    q.push(ss);
    
    while(q.size())
    {
        ss = q.front();
        if(ss.cur >= k) break;
        q.pop();
        
        for(int i = 0; i < 4; i++ )
        {
            ee.x = ss.x + dx[i];
            ee.y = ss.y + dy[i];
            ee.cur = ss.cur + 1;
            
            while(ee.x >= 0 && ee.x < m && ee.y >= 0 && ee.y < n && g[ee.x][ee.y] == '.')
            {
                if(ee.x == x2 && ee.y == y2 && ee.cur <= k)
                {
                    cout << "yes" << endl;
                    return;
                }
                if(!vis[ee.x][ee.y])
                {
                    vis[ee.x][ee.y] = 1;
                    q.push(ee);
                }
                ee.x += dx[i], ee.y += dy[i];
            }
        }
    }
    cout << "no" << endl;
    return;
}

int main()
{
    int t;
    cin >> t;
    while(t--)
    {
        scanf("%d%d", &m, &n);
        for(int i = 0; i < m; i++ ) cin >> g[i];
        cin >> k >> y1 >> x1 >> y2 >> x2;
        y1--, x1--, y2--, x2--;
        
        bfs(x1, y1);
    }
    return 0;
}

UVA10375

分子分母数字个数相同

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;

int main()
{
    int p, q, r, s;
    while(cin >> p >> q >> r >> s)
    {
        double ans = 1;
        int i = 1, j = 1, x = p - q + 1, y = r - s + 1;
        for(; i <= q || j <= s;)
        {
            if(i <= q) ans *= (double)x++ / i++;
            if(j <= s) ans *= (double)j++ / y++;
        }
        printf("%.5f
", ans);
    }
    return 0;
}

UVA133

参考紫书代码

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;

const int N = 25;
int a[N], m, n, k;

int go(int p, int d, int t)
{
    while(t--)
    {
        do
        {
            p = (p + d + n - 1) % n + 1;
        }while(a[p] == 0);
    }
    return p;
}

int main()
{
    while(cin >> n >> k >> m, n)
    {
        for(int i = 1; i <= n; i++ ) a[i] = i;
        int left = n;
        int p1 = n, p2 = 1;
        while(left)
        {
            p1 = go(p1, 1, k);
            p2 = go(p2, -1, m);
            printf("%3d", p1);
            left--;
            if(p2 != p1) printf("%3d", p2), left--;
            a[p1] = a[p2] = 0;
            if(left) printf(",");
        }
        cout << endl;
    }
    return 0;
}

NOJ1041

线段叉乘

if(min(x3, x4) > max(x1, x2)
    || min(x1, x2) > max(x3, x4)
    || min(y1, y2) > max(y3, y4)
    || min(y3, y4) > max(y1, y2))
        return false;

或者为了提高效率可以加上上面的代码，先粗略判断是否相交

#include <iostream>
using namespace std;
double x1, y1, x2, y2, x3, y3, x4, y4;
bool flag;
int main()
{
    while (cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3 >> x4 >> y4)
    {
        double fa = (y1 - y3) * (x4 - x3) - (x1 - x3) * (y4 - y3);
        double fb = (y2 - y3) * (x4 - x3) - (x2 - x3) * (y4 - y3);
        double fc = (y3 - y1) * (x2 - x1) - (x3 - x1) * (y2 - y1);
        double fd = (y4 - y1) * (x2 - x1) - (x4 - x1) * (y2 - y1);
        if ((fc * fd < 0) && (fa * fb < 0))
            flag = true;
        else
            flag = false;
        if (flag)
            cout << "yes" << endl;
        else
            cout << "no" << endl;
    }
    return 0;
}

• 堆排序

NOJ1066

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;

const int N = 100010;
int h[N], m, cnt, flag = 1;

void down(int u)
{
    int t = u;
    if(u * 2 <= cnt && h[u << 1] < h[t]) t = u << 1;
    if(u * 2 + 1 <= cnt && h[u << 1 | 1] < h[t]) t = u << 1 | 1;
    if(u != t)
    {
        swap(h[u], h[t]);
        down(t);
    }
}

int main()
{
    cin >> m;
    for(int i = 1; i <= m; i++ ) scanf("%d", h + i);
    cnt = m;
    
    for(int i = m >> 1; i; i--) down(i);
    
    while(m--)
    {
        if(flag)
        {   printf("%d", h[1]); 
            flag = 0;
        }
        else 
            printf(" %d", h[1]);
        h[1] = h[cnt--];
        down(1);
    }
    cout << endl;
    return 0;
}