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  • [POI2014]KUR-Couriers BZOJ3524 主席树

    给一个长度为n的序列a。1≤a[i]≤n。
    m组询问,每次询问一个区间[l,r],是否存在一个数在[l,r]中出现的次数大于(r-l+1)/2。如果存在,输出这个数,否则输出0。

    Input

    第一行两个数n,m。
    第二行n个数,a[i]。
    接下来m行,每行两个数l,r,表示询问[l,r]这个区间。

    Output

    m行,每行对应一个答案。

    Sample Input
    7 5
    1 1 3 2 3 4 3
    1 3
    1 4
    3 7
    1 7
    6 6

    Sample Output
    1
    0
    3
    0
    4

    仍然是基础的主席树;
    不离散化也可以;
    #include<iostream>
    #include<cstdio>
    #include<algorithm>
    #include<cstdlib>
    #include<cstring>
    #include<string>
    #include<cmath>
    #include<map>
    #include<set>
    #include<vector>
    #include<queue>
    #include<bitset>
    #include<ctime>
    #include<deque>
    #include<stack>
    #include<functional>
    #include<sstream>
    //#pragma GCC optimize(2)
    //#include<cctype>
    //#pragma GCC optimize("O3")
    using namespace std;
    #define maxn 700005
    #define inf 0x3f3f3f3f
    #define INF 9999999999
    #define rdint(x) scanf("%d",&x)
    #define rdllt(x) scanf("%lld",&x)
    #define rdult(x) scanf("%lu",&x)
    #define rdlf(x) scanf("%lf",&x)
    #define rdstr(x) scanf("%s",x)
    typedef long long  ll;
    typedef unsigned long long ull;
    typedef unsigned int U;
    #define ms(x) memset((x),0,sizeof(x))
    const long long int mod = 1e9 + 7;
    #define Mod 1000000000
    #define sq(x) (x)*(x)
    #define eps 1e-3
    typedef pair<int, int> pii;
    #define pi acos(-1.0)
    //const int N = 1005;
    #define REP(i,n) for(int i=0;i<(n);i++)
    
    inline ll rd() {
    	ll x = 0;
    	char c = getchar();
    	bool f = false;
    	while (!isdigit(c)) {
    		if (c == '-') f = true;
    		c = getchar();
    	}
    	while (isdigit(c)) {
    		x = (x << 1) + (x << 3) + (c ^ 48);
    		c = getchar();
    	}
    	return f ? -x : x;
    }
    
    ll gcd(ll a, ll b) {
    	return b == 0 ? a : gcd(b, a%b);
    }
    ll sqr(ll x) { return x * x; }
    
    /*ll ans;
    ll exgcd(ll a, ll b, ll &x, ll &y) {
    	if (!b) {
    		x = 1; y = 0; return a;
    	}
    	ans = exgcd(b, a%b, x, y);
    	ll t = x; x = y; y = t - a / b * y;
    	return ans;
    }
    */
    
    
    
    ll qpow(ll a, ll b, ll c) {
    	ll ans = 1;
    	a = a % c;
    	while (b) {
    		if (b % 2)ans = ans * a%c;
    		b /= 2; a = a * a%c;
    	}
    	return ans;
    }
    
    int n, m, q;
    int cnt = 0;
    int a[maxn], b[maxn], T[maxn];
    int sum[maxn << 5], lson[maxn << 5], rson[maxn << 5];
    
    int build(int l, int r) {
    	int rt = ++cnt;
    	sum[rt] = 0;
    	if (l < r) {
    		int mid = (l + r) >> 1;
    		lson[rt] = build(l, mid); rson[rt] = build(mid + 1, r);
    	}
    	return rt;
    }
    
    int  upd(int pre, int l, int r, int  x) {
    	int rt = ++cnt;
    	lson[rt] = lson[pre]; rson[rt] = rson[pre];
    	sum[rt] = sum[pre] + 1;
    	if (l < r) {
    		int mid = (l + r) >> 1;
    		if (x <= mid)lson[rt] = upd(lson[pre], l, mid, x);
    		else rson[rt] = upd(rson[pre], mid + 1, r, x);
    	}
    	return rt;
    }
    
    int query(int u, int v, int l, int r, int k) {
    	if (l >= r)return l;
    	int x = sum[lson[v]] - sum[lson[u]];
    	int y = sum[rson[v]] - sum[rson[u]];
    	int mid = (l + r) >> 1;
    	if (x > k)return query(lson[u], lson[v], l, mid, k);
    	else if (y > k) return query(rson[u], rson[v], mid + 1, r, k);
    	else return 0;
    }
    
    int main(){
    	//ios::sync_with_stdio(0);
    	rdint(n); rdint(q);
    	for (int i = 1; i <= n; i++)rdint(a[i]), b[i] = a[i];
    	sort(b + 1, b + 1 + n);
    	m = unique(b + 1, b + 1 + n) - b - 1;
    	T[0] = build(1, m);
    	for (int i = 1; i <= n; i++) {
    		int t = lower_bound(b + 1, b + 1 + m, a[i]) - b;
    		T[i] = upd(T[i - 1], 1, m, t);
    	}
    	while (q--) {
    		int x, y, z; rdint(x); rdint(y); z = (y - x + 1) >> 1;
    		int t = query(T[x - 1], T[y], 1, m, z);
    		if (t == 0)printf("0
    ");
    		else printf("%d
    ", b[t]);
    	}
        return 0;
    }
    
    
    
    EPFL - Fighting
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  • 原文地址:https://www.cnblogs.com/zxyqzy/p/10091784.html
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