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  • HDU1166单点更新

    敌兵布阵 HDU - 1166

    多组输入,注意清除tr数组

    维护一个前缀数组,耗时有点大

    #include <cstdio>
    #include <cstring>
    using namespace std;
    const int maxn = 5e4 + 5;
    int t, n;
    int sum[maxn], num[maxn];
    char str[10];
    int main() {
        // freopen("in.txt", "r", stdin);
        scanf("%d", &t);
        for (int kase = 1; kase <= t; kase++) {
            memset(sum, 0, sizeof(sum));
            scanf("%d", &n);
            for (int i = 1; i <= n; i++) {
                scanf("%d", num + i);
                sum[i] = sum[i - 1] + num[i];
            }
            int a, b;
            printf("Case %d:\n", kase);
            while (scanf("%s", str) && str[0] != 'E') {
                scanf("%d%d", &a, &b);
                if (str[0] == 'Q') {
                    int res = sum[b] - sum[a - 1];
                    printf("%d\n", res);
                    continue;
                }
                else if (str[0] == 'A') {
                    for (int i = a; i <= n; i++) {
                        sum[i] += b;
                    }
                }
                else if (str[0] == 'S') {
                    for (int i = a; i <= n; i++) {
                        sum[i] -= b;
                    }
                }
            }
        }
        return 0;
    }
    

    树状数组模板

    #include<bits/stdc++.h>
    using namespace std;
    #define sc(n) scanf("%c",&n)
    #define sd(n) scanf("%d",&n)
    #define pd(n) printf("%d\n", (n))
    #define sdd(n,m) scanf("%d %d",&n,&m)
    #define sddd(n,m,z) scanf("%d %d %d",&n,&m,&z)
    #define pdd(n,m) printf("%d %d\n",n, m)
    #define ms(a,b) memset(a,b,sizeof(a))
    #define mod(x) ((x)%MOD)
    #define lowbit(x) (x & (-x))
    
    typedef long long ll;
    typedef pair<int, int> PII;
    typedef vector<int> VI;
    typedef vector<string> VS;
    const int MOD = 10000007;
    const int inf = 0x3f3f3f3f;
    const int maxn = 5e5 + 100;
    int n, tr[maxn], t;
    
    void update(int x, int val) {
    	while (x <= n) {
    		tr[x] += val;
    		x += lowbit(x);
    	}
    }
    
    int getsum(int x) {
    	int res = 0;
    	while (x) {
    		res += tr[x];
    		x -= lowbit(x);
    	}
    	return res;
    }
    
    int main() {
    	//freopen("in.txt", "r", stdin);
    	//ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    	int N; cin >> N;
    	for (int K = 1; K <= N; ++K) {
    		ms(tr, 0);
    		cin >> n;
    		for (int i = 1; i <= n; ++i)cin >> t, update(i, t);
    		printf("Case %d:\n", K);
    		string s; int a, b;
    		while (cin >> s && s != "End") {
    			cin >> a >> b;
    			if (s == "Query")cout << getsum(b) - getsum(a - 1) << endl;
    			if (s == "Add") update(a, b);
    			if (s == "Sub") update(a, -b);
    		}
    	}
    
    	return 0;
    }
    

    线段树

    #include <cstdio>
    #include <iostream>
    #include <algorithm>
    #include <cstring>
    using namespace std;
    
    typedef long long LL;
    typedef pair<int, int> pii;
    
    const int maxn = 2e5 + 5;
    const int INF = 0x3f3f3f3f;
    
    int sum[maxn * 4], A[maxn];
    
    void PushUp(int rt) {
        sum[rt] = sum[rt * 2] + sum[rt * 2 + 1];
    }
    void Build(int l, int r, int rt) {
        if (l == r) {
            sum[rt] = A[l];
            return;
        }
        int m = (l + r) / 2;
        Build(l, m, rt * 2);
        Build(m + 1, r, rt * 2 + 1);
        PushUp(rt);
    }
    void Update(int L, int c, int l, int r, int rt) {
        if (r == l) {
            sum[rt] += c;
            return;
        }
        int m = (l + r) / 2;
        if (L <= m) Update(L, c, l, m, rt * 2);
        else Update(L, c, m + 1, r, rt * 2 + 1);
        PushUp(rt);
    }
    int Query(int L, int R, int l, int r, int rt) {
        if (L <= l && r <= R) {
            return sum[rt];
        }
        int m = (l + r) / 2;
        int ans = 0;
        if (L <= m) ans += Query(L, R, l, m, rt * 2);
        if (R > m) ans += Query(L, R, m + 1, r, rt * 2 + 1);
        return ans;
    }
    
    int main() {
        // freopen("in.txt", "r", stdin);
        char c;
        int T;
        int n, m, a, b;
        char str[10];
        scanf("%d", &T);
        for (int kase = 1; kase <= T; kase++) {
            printf("Case %d:\n", kase);
            scanf("%d", &n);
            memset(sum, 0, sizeof(sum));
            memset(A, 0, sizeof(A));
            for (int i = 1; i <= n; i++) scanf("%d", A + i);
            Build(1, n, 1);
            while (scanf("%s", str) && str[0] != 'E') {
                scanf("%d%d", &a, &b);
                if (str[0] == 'Q') {
                    printf("%d\n", Query(a, b, 1, n, 1));
                }
                else if (str[0] == 'A') {
                    Update(a, b, 1, n, 1);
                }
                else if (str[0] == 'S') {
                    Update(a, -b, 1, n, 1);
                }
            }
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/RioTian/p/13408056.html
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