• Codeforces 666E E


    E - Forensic Examination

    我也不知道为什么这个复杂度能过, 而且跑得还挺快, 数据比较水?

    在sa上二分出上下界, 然后莫队 + 线段树维护区间众数。

    #include<bits/stdc++.h>
    #define LL long long
    #define fi first
    #define se second
    #define mk make_pair
    #define PLL pair<LL, LL>
    #define PLI pair<LL, int>
    #define PII pair<int, int>
    #define SZ(x) ((int)x.size())
    #define ull unsigned long long
    
    using namespace std;
    
    const int N = 6e5 + 7;
    const int inf = 0x3f3f3f3f;
    const LL INF = 0x3f3f3f3f3f3f3f3f;
    const int mod = 1e9 + 7;
    const double eps = 1e-9;
    const double PI = acos(-1);
    
    #define F(x) ((x) / 3 + ((x) % 3 == 1 ? 0 : tb))
    #define G(x) ((x) < tb ? (x) * 3 + 1 : ((x) - tb) * 3 + 2)
    
    int r[3 * N], sa[3 * N];
    int wa[3 * N], wb[3 * N], wv[3 * N], ss[3 * N];
    int rnk[N], lcp[N];
    
    int c0(int *r, int a, int b) {return r[a] == r[b] && r[a + 1] == r[b + 1] && r[a + 2] == r[b + 2]; }
    
    int c12(int k, int *r, int a, int b) {
        if(k == 2) return r[a] < r[b] || r[a] == r[b] && c12(1, r, a + 1, b + 1);
        return r[a] < r[b] || r[a] == r[b] && wv[a + 1] < wv[b + 1];
    }
    
    void sort(int *r, int *a, int *b, int n, int m) {
        for(int i = 0; i < n; i++) wv[i] = r[a[i]];
        for(int i = 0; i < m; i++) ss[i] = 0;
        for(int i = 0; i < n; i++) ss[wv[i]]++;
        for(int i = 1; i < m; i++) ss[i] += ss[i - 1];
        for(int i = n - 1; i >= 0; i--) b[--ss[wv[i]]] = a[i];
    }
    
    void DC3(int *r, int *sa, int n, int m) {
        int i, j, p;
        int *san = sa + n, *rn = r + n;
        int ta = 0, tb = (n + 1) / 3, tbc = 0;
    
        r[n] = r[n + 1] = 0;
        for(i = 0; i < n; i++) if(i % 3 != 0) wa[tbc++] = i;
    
        sort(r + 2, wa, wb, tbc, m);
        sort(r + 1, wb, wa, tbc, m);
        sort(r, wa, wb, tbc, m);
    
        for(p = 1, rn[F(wb[0])] = 0, i = 1; i < tbc; i++)
            rn[F(wb[i])] = c0(r, wb[i - 1], wb[i]) ? p - 1 : p++;
    
        if(p < tbc) DC3(rn, san, tbc, p);
        else for(i = 0; i < tbc; i++) san[rn[i]] = i;
    
        for(i = 0; i < tbc; i++) if(san[i] < tb) wb[ta++] = san[i] * 3;
        if(n % 3 == 1) wb[ta++] = n - 1;
    
        sort(r, wb, wa, ta, m);
    
        for(i = 0; i < tbc; i++) wv[wb[i] = G(san[i])] = i;
        for(i = 0, j = 0, p = 0; i < ta && j < tbc; p++)
            sa[p] = c12(wb[j] % 3, r, wa[i], wb[j]) ? wa[i++] : wb[j++];
    
        for( ; i < ta; p++) sa[p] = wa[i++];
        for( ; j < tbc; p++) sa[p] = wb[j++];
    }
    
    
    void calc_LCP(int *r, int *sa, int n) {
        int k = 0;
        for(int i = 0; i < n; i++) rnk[sa[i]] = i;
        for(int i = 0; i < n - 1; lcp[rnk[i++]] = k) {
            if(k) k--;
            for(int j = sa[rnk[i] - 1]; r[i + k] == r[j + k]; k++);
        }
    }
    
    int Log[N];
    struct ST {
        int dp[N][20], ty;
        void build(int n, int b[], int _ty) {
            ty = _ty;
            for(int i = -(Log[0]=-1); i < N; i++)
            Log[i] = Log[i - 1] + ((i & (i - 1)) == 0);
            for(int i = 1; i <= n; i++) dp[i][0] = ty * b[i];
            for(int j = 1; j <= Log[n]; j++)
                for(int i = 1; i+(1<<j)-1 <= n; i++)
                    dp[i][j] = max(dp[i][j-1], dp[i+(1<<(j-1))][j-1]);
        }
        inline int query(int x, int y) {
            int k = Log[y - x + 1];
            return ty * max(dp[x][k], dp[y-(1<<k)+1][k]);
        }
    };
    
    namespace SGT {
    #define lson l, mid, rt << 1
    #define rson mid + 1, r, rt << 1 | 1
        const int N = 5e4 + 7;
        PII a[N << 2];
        int b[N];
        void build(int l, int r, int rt) {
            if(l == r) {
                a[rt].se = -l;
                b[l] = rt;
                return;
            }
            int mid = (l + r) >> 1;
            build(lson); build(rson);
            a[rt] = max(a[rt << 1], a[rt << 1 | 1]);
        }
        inline void update(int x, int val) {
            x = b[x];
            a[x].fi += val;
            x >>= 1;
            for( ; x; x >>= 1)
                a[x] = max(a[x << 1], a[x << 1 | 1]);
        }
        PII query(int L, int R, int l, int r, int rt) {
            if(R < l || r < L) return mk(-inf, inf);
            if(L <= l && r <= R) return a[rt];
            int mid = (l + r) >> 1;
            return max(query(L, R, lson), query(L, R, rson));
        }
    }
    
    struct Qus {
        int L, R, numl, numr, id;
        bool operator < (const Qus& rhs) const {
            if(L / 750 == rhs.L / 750) return R < rhs.R;
            return L < rhs.L;
        }
    };
    
    int n, m, q, mxc = 256, who[N];
    PII ans[N];
    char s[N];
    ST rmq;
    Qus qus[N];
    
    int main() {
        scanf("%s", s);
        for(int i = 0; s[i]; i++)
            r[n++] = s[i], mxc = max(mxc, (int)s[i]);
        scanf("%d", &m);
        for(int i = 1; i <= m; i++) {
            r[n++] = mxc++;
            scanf("%s", s);
            for(int j = 0; s[j]; j++)
                r[n] = s[j], who[n++] = i;
        }
        r[n] = 0;
        DC3(r, sa, n + 1, mxc);
        calc_LCP(r, sa, n + 1);
        rmq.build(n, lcp, -1);
        scanf("%d", &q);
        for(int i = 1; i <= q; i++) {
            int l, r, pl, pr;
            scanf("%d%d%d%d", &l, &r, &pl, &pr);
            int pos = rnk[pl - 1], len = pr - pl + 1;
            int low = 1, high = pos - 1, L = pos, R = pos;
            while(low <= high) {
                int mid = (low + high) >> 1;
                if(rmq.query(mid + 1, pos) >= len) L = mid, high = mid - 1;
                else low = mid + 1;
            }
            low = pos + 1, high = n;
            while(low <= high) {
                int mid = (low + high) >> 1;
                if(rmq.query(pos + 1, mid) >= len) R = mid, low = mid + 1;
                else high = mid - 1;
            }
            qus[i] = Qus{L, R, l, r, i};
        }
        SGT::build(1, m, 1);
        sort(qus + 1, qus + 1 + q);
        int l = 1, r = 0;
        for(int i = 1; i <= q; i++) {
            int L = qus[i].L, R = qus[i].R, numl = qus[i].numl, numr = qus[i].numr;
            while(r < R) r++, SGT::update(who[sa[r]], 1);
            while(l > L) l--, SGT::update(who[sa[l]], 1);
            while(r > R) SGT::update(who[sa[r]], -1), r--;
            while(l < L) SGT::update(who[sa[l]], -1), l++;
            ans[qus[i].id] = SGT::query(numl, numr, 1, m, 1);
        }
        for(int i = 1; i <= q; i++) printf("%d %d
    ", -ans[i].se, ans[i].fi);
        return 0;
    }
    
    /*
    */
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  • 原文地址:https://www.cnblogs.com/CJLHY/p/10670130.html
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