• HDU 5741 Helter Skelter


    离线处理+扫描线。题意很容易转化:若干个矩形形成并集,询问一些点是否在并集中?

    官方题解不是这样做的....那种做法效率更高,暂时还不会。我这样是4500ms G++过的,C++TLE......

    区间加上某值,询问单点值,可以用树状数组。用线段树可能常数较大导致TLE。

    #pragma comment(linker, "/STACK:1024000000,1024000000")
    #include<cstdio>
    #include<cstring>
    #include<cmath>
    #include<cstdlib>
    #include<algorithm>
    #include<vector>
    #include<map>
    #include<set>
    #include<queue>
    #include<stack>
    #include<iostream>
    using namespace std;
    typedef long long LL;
    const double pi = acos(-1.0), eps = 1e-8;
    void File()
    {
        freopen("D:\in.txt", "r", stdin);
        freopen("D:\out.txt", "w", stdout);
    }
    inline int read()
    {
        char c = getchar();  while (!isdigit(c)) c = getchar();
        int x = 0;
        while (isdigit(c)) { x = x * 10 + c - '0'; c = getchar(); }
        return x;
    }
    
    int T, n, ps, pq, v[1010], c[2000000 + 10];
    int A[2000000 + 10], sz;
    struct Seg { int x, y1, y2, f; }s[2000000 + 10]; int ns;
    struct Quary { int x, y, id; }q[500000 + 10]; int nq;
    int ans[500000 + 10];
    
    int lowbit(int x) { return x&(-x); }
    void add(int p, int val) { while (p <= sz) c[p] = c[p] + val, p = p + lowbit(p); }
    int sum(int p) { int r = 0; while (p > 0) r = r + c[p], p = p - lowbit(p); return r; }
    void update(int L, int R, int val) { add(L, val); add(R + 1, -val); }
    
    void AddSeg(int l, int r, int L, int R)
    {
        s[ns].x = l, s[ns].y1 = L, s[ns].y2 = R, s[ns].f = 1, ns++;
        s[ns].x = r, s[ns].y1 = L, s[ns].y2 = R, s[ns].f = -1, ns++;
        A[sz++] = L, A[sz++] = R;
    }
    
    bool cmp(Seg a, Seg b) { if (a.x == b.x) return a.f > b.f; return a.x < b.x; }
    bool cmp2(Quary a, Quary b) { return a.x < b.x; }
    
    void get()
    {
        int x = lower_bound(A, A + sz, q[pq].y) - A; x++;
        if (sum(x) > 0) ans[q[pq].id] = 1; else ans[q[pq].id] = 0; pq++;
    }
    
    void insert()
    {
        int L = lower_bound(A, A + sz, s[ps].y1) - A; L++;
        int R = lower_bound(A, A + sz, s[ps].y2) - A; R++;
        update(L, R, s[ps].f); ps++;
    }
    
    int main()
    {
        scanf("%d", &T); 
        while (T--)
        {
            scanf("%d%d", &n, &nq);
            for (int i = 1; i <= n; i++) scanf("%d", &v[i]);
    
            ns = 0; sz = 0;
            for (int i = 1; i <= n; i++)
            {
                int l = 0, r = 0, L = 0, R = 0, w = 0, b = 0;
                if (i & 1) AddSeg(0, v[i], 0, 0); else AddSeg(0, 0, 0, v[i]); 
                for (int j = i + 1; j <= n; j++)
                {
                    l = r = w; L = R = b;
                    if (i & 1) r = r + v[i]; else R = R + v[i];
                    if (j & 1) r = r + v[j]; else R = R + v[j];
                    AddSeg(l, r, L, R);
                    if (j & 1) w = w + v[j]; else b = b + v[j];
                }
            }
    
            for (int i = 0; i < nq; i++)
            {
                scanf("%d%d", &q[i].x, &q[i].y); q[i].id = i;
                A[sz++] = q[i].y;
            }
    
            sort(s, s + ns, cmp); sort(q, q + nq, cmp2);
            sort(A, A + sz); sz = unique(A, A + sz) - A;
    
            ps = 0, pq = 0; memset(c, 0, sizeof c);
            while (pq < nq)
            {
                if (ps == ns) get();
                else
                {
                    if (s[ps].x < q[pq].x) insert();
                    else if (s[ps].x > q[pq].x) get();
                    else { if (s[ps].f == 1) insert(); else get(); }
                }
            }
            for (int i = 0; i < nq; i++) printf("%d", ans[i]); printf("
    ");
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/zufezzt/p/5701970.html
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