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  • BZOJ5157 [Tjoi2014]上升子序列 【树状数组】

    题目链接

    BZOJ5157

    题解

    我们只需计算每个位置为开头产生的贡献大小,就相当于之后每个大于当前位置的位置产生的贡献 + 1之和
    离散化后用树状数组维护即可
    要注意去重,后面计算的包含之前的,记录下来减去即可

    #include<algorithm>
    #include<iostream>
    #include<cstring>
    #include<cstdio>
    #include<cmath>
    #include<map>
    #define Redge(u) for (int k = h[u],to; k; k = ed[k].nxt)
    #define REP(i,n) for (int i = 1; i <= (n); i++)
    #define mp(a,b) make_pair<int,int>(a,b)
    #define cls(s) memset(s,0,sizeof(s))
    #define cp pair<int,int>
    #define LL long long int
    #define lbt(x) (x & -x)
    using namespace std;
    const int maxn = 100005,maxm = 100005,INF = 1000000000,P = 1000000007;
    inline int read(){
    	int out = 0,flag = 1; char c = getchar();
    	while (c < 48 || c > 57){if (c == '-') flag = -1; c = getchar();}
    	while (c >= 48 && c <= 57){out = (out << 3) + (out << 1) + c - 48; c = getchar();}
    	return out * flag;
    }
    int A[maxn],b[maxn],last[maxn],tot,n,ans;
    int getn(int x){return lower_bound(b + 1,b + 1 + tot,x) - b;}
    int s[maxn];
    void add(int u,int v){while (u <= tot) s[u] = (s[u] + v) % P,u += lbt(u);}
    int query(int u){int re = 0; while (u) re = (re + s[u]) % P,u -= lbt(u); return re;}
    int sum(int l,int r){return ((query(r) - query(l - 1)) % P + P) % P;}
    int main(){
    	n = read();
    	REP(i,n) A[i] = b[i] = read();
    	sort(b + 1,b + 1 + n); tot = 1;
    	for (int i = 2; i <= n; i++) if (b[i] != b[tot]) b[++tot] = b[i];
    	for (int i = 1; i <= n; i++) A[i] = getn(A[i]);
    	tot++;
    	for (int i = n; i; i--){
    		int tmp = sum(A[i] + 1,tot),t = tmp - last[A[i]];
    		ans = (ans + t) % P;
    		last[A[i]] = tmp;
    		tmp = ((tmp - sum(A[i],A[i]) + 1) % P + P) % P;
    		add(A[i],tmp);
    	}
    	printf("%d
    ",(ans % P + P) % P);
    	return 0;
    }
    
    
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  • 原文地址:https://www.cnblogs.com/Mychael/p/9034400.html
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