• Luogu 3373 又乘又加的线段树


    Luogu 3373 又乘又加的线段树

    当给一个节点加上一个加法标记时,直接把加法标记 += 新值;
    当给一个节点加上一个乘法标记时,把乘法标记和加法标记同时 *= 新值。(注意pushdown函数中也要这样!)

    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    using namespace std;
    typedef long long ll;
    #define INF 0x3f3f3f3f
    #define space putchar(' ')
    #define enter putchar('
    ')
    template <class T>
    bool read(T &x){
        char c;
        bool op = 0;
        while(c = getchar(), c < '0' || c > '9')
    	if(c == '-') op = 1;
    	else if(c == EOF) return 0;
        x = c - '0';
        while(c = getchar(), c >= '0' && c <= '9')
    	x = x * 10 + c - '0';
        if(op) x = -x;
        return 1;
    }
    template <class T>
    void write(T x){
        if(x < 0) putchar('-'), x = -x;
        if(x >= 10) write(x / 10);
        putchar('0' + x % 10);
    }
    const int N = 100005;
    int n, m, P;
    ll a[N], data[4*N], mul[4*N], add[4*N];
    void calc(ll &x, ll y, ll z){ // x = x * y + z
        x = (x * y % P + z % P) % P;
    }
    void build(int k, int l, int r){
        mul[k] = 1;
        if(l == r) return (void)(data[k] = a[l]);
        int mid = (l + r) >> 1;
        build(k << 1, l, mid);
        build(k << 1 | 1, mid + 1, r);
        data[k] = (data[k << 1] + data[k << 1 | 1]) % P;
    }
    void pushdown(int k, int l, int r){
        if(mul[k] == 1 && add[k] == 0) return;
        int mid = (l + r) >> 1;
        calc(data[k << 1], mul[k], add[k] * (mid - l + 1));
        calc(data[k << 1 | 1], mul[k], add[k] * (r - mid));
        calc(mul[k << 1], mul[k], 0);
        calc(mul[k << 1 | 1], mul[k], 0);
        calc(add[k << 1], mul[k], add[k]);
        calc(add[k << 1 | 1], mul[k], add[k]);
        mul[k] = 1, add[k] = 0;
    }
    void change(int k, int l, int r, int ql, int qr, ll x, bool is_mul){
        if(ql <= l && qr >= r){
    	if(is_mul){
    	    data[k] = data[k] * x % P;
    	    mul[k] = mul[k] * x % P;
    	    add[k] = add[k] * x % P;
    	}
    	else{
    	    data[k] = (data[k] + x * (r - l + 1) % P) % P;
    	    add[k] = (add[k] + x) % P;
    	}
    	return;
        }
        pushdown(k, l, r);
        int mid = (l + r) >> 1;
        if(ql <= mid) change(k << 1, l, mid, ql, qr, x, is_mul);
        if(qr > mid) change(k << 1 | 1, mid + 1, r, ql, qr, x, is_mul);
        data[k] = (data[k << 1] + data[k << 1 | 1]) % P;
    }
    ll query(int k, int l, int r, int ql, int qr){
        if(ql <= l && qr >= r) return data[k];
        pushdown(k, l, r);
        int mid = (l + r) >> 1;
        ll ret = 0;
        if(ql <= mid) ret = (ret + query(k << 1, l, mid, ql, qr)) % P;
        if(qr > mid) ret = (ret + query(k << 1 | 1, mid + 1, r, ql, qr)) % P;
        return ret;
    }
    int main(){
        read(n), read(m), read(P);
        for(int i = 1; i <= n; i++)
    	read(a[i]), a[i] %= P;
        build(1, 1, n);
        while(m--){
    	int op, l, r;
    	read(op), read(l), read(r);
    	if(op < 3){
    	    ll x;
    	    read(x);
    	    if(op == 2) change(1, 1, n, l, r, x, 0);
    	    else change(1, 1, n, l, r, x, 1);
    	}
    	else write(query(1, 1, n, l, r)), enter;
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/RabbitHu/p/Luogu3373.html
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