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  • UVA 11983 Weird Advertisement

    题意:求矩形覆盖k次以上的区域总面积。

    因为k≤10,可以在线段树上维护覆盖次数为0,...,k, ≥k的长度数量。

    然后就是一个离散化以后扫描线的问题了。

    离散化用的是半开半闭区间,以方便表示没有被覆盖的区间。

    /*********************************************************
    *      --------------Alfheim--------------               *
    *   author AbyssalFish                                   *
    **********************************************************/
    #include<bits/stdc++.h>
    using namespace std;
    
    typedef long long ll;
    const int maxn = 3e4+5;
    const int maxnc = maxn*2;
    const int maxk = 10;
    int x[maxnc], y[maxnc];
    int xs[maxnc], mpx[maxnc];
    int rx[maxnc], ry[maxnc];
    
    
    int n, nxs, lim_k;
    
    #define para int o = 1, int l = 1, int r = nxs
    #define lo (o<<1)
    #define ro (o<<1|1)
    #define Tvar int md = (l+r)>>1;
    #define lsn lo,l,md
    #define rsn ro,md,r
    #define insd ql<=l&&r<=qr
    
    const int ST_SIZE = 1<<17;
    
    int sum[ST_SIZE][maxk+1];
    int cnt[ST_SIZE];
    #define int_byte 4
    
    void build(para)
    {
        cnt[o] = 0;
        memset(sum[o]+1,0,int_byte*lim_k);
        sum[o][0] = mpx[r]-mpx[l];
        if(r-l>1){
            Tvar
            build(lsn);
            build(rsn);
        }
    }
    
    inline void maintain(para)
    {
        if(cnt[o] >= lim_k) {
            memset(sum[o],0,int_byte*lim_k);
            sum[o][lim_k] = mpx[r]-mpx[l];
        }
        else if(r - l == 1) {
            int k = cnt[o];
            sum[o][k] = mpx[r]-mpx[l];
            if(k > 0) sum[o][k-1] = 0;
            if(k < lim_k) sum[o][k+1] = 0;
        }
        else {
            int lc = lo, rc = ro, c = cnt[o], k;
            for(k = 0; k < c; k++) sum[o][k] = 0;
            for(k = c; k <= lim_k; k++){
                sum[o][k] = sum[lc][k-c] + sum[rc][k-c];
            }
            for(k = lim_k - c+1; k <= lim_k; k++){
                sum[o][lim_k] += sum[lc][k] + sum[rc][k];
            }
        }
    
    }
    
    #define upara ql,  qr,  d
    void update(int ql, int qr, int d, para)
    {
        if(insd){
            cnt[o] += d;
        }
        else {
            Tvar
            if(ql < md) update(upara,lsn);
            if(qr > md) update(upara,rsn);
        }
        maintain(o,l,r);
    }
    
    
    int *c_cmp;
    bool cmp_id(int i,int j){ return c_cmp[i] < c_cmp[j]; }
    bool cmp_y(int i,int j){ return y[i] < y[j] || (y[i] == y[j] && (i&1)>(j&1) ); } //出点下标i, i % 2 = 1
    
    int compress(int n, int *a, int *r, int *b, int *mp)
    {
        for(int i = 0; i < n; i++){
            r[i] = i;
        }
        c_cmp = a;
        sort(r,r+n,cmp_id);
        int k = 1;
        mp[b[r[0]] = 1] = a[r[0]];
        for(int i = 1; i < n; i++){
            int j = r[i];
            if(a[j] != a[r[i-1]]){
                mp[ b[j] = ++k ] = a[j];
            }
            else {
                b[j] = k;
            }
        }
        return k;
    }
    
    ll solve()
    {
        scanf("%d%d",&n,&lim_k);
        int nn = n*2;
        for(int i = 0; i < nn; i++){
            scanf("%d%d",x+i,y+i);
            ry[i] = i;
        }
        for(int i = 1; i < nn; i += 2){ //[)
            x[i]++; y[i]++;
        }
        nxs = compress(2*n,x,rx,xs,mpx);
        build();
        sort(ry,ry+nn,cmp_y);
        ll res = 0;
        for(int i = 0; i < nn; i++){
            int p = ry[i], q = p^1;
            if(i) res += (ll)sum[1][lim_k]*(y[p]-y[ry[i-1]]);
            if(y[p] < y[q]){
                //assert((q&1) == 1);
                update(xs[p],xs[q],1);
            }
            else {
                update(xs[q],xs[p],-1);
            }
    
        }
        return res;
    }
    
    //#define LOCAL
    int main()
    {
    #ifdef LOCAL
        freopen("in.txt","r",stdin);
    #endif
        //cout<<log2(maxnc);
        int T, ks = 0; scanf("%d",&T);
        while(++ks <= T){
            printf("Case %d: %lld
    ",ks,solve());
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/jerryRey/p/5022050.html
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