• [hdu5400 Arithmetic Sequence]预处理,容斥


    题意:http://acm.hdu.edu.cn/showproblem.php?pid=5400

    思路:预处理出每个点向左和向右的最远边界,从左向右枚举中间点,把区间答案加到总答案里面。由与可能与前面的区间重叠,需要减去重复的答案,由于左边界非降,所以重叠的区间长度很容易得到。

    #pragma comment(linker, "/STACK:10240000")
    #include <map>
    #include <set>
    #include <cmath>
    #include <ctime>
    #include <deque>
    #include <queue>
    #include <stack>
    #include <vector>
    #include <cstdio>
    #include <string>
    #include <cstdlib>
    #include <cstring>
    #include <iostream>
    #include <algorithm>
    
    using namespace std;
    
    #define X                   first
    #define Y                   second
    #define pb                  push_back
    #define mp                  make_pair
    #define all(a)              (a).begin(), (a).end()
    #define fillchar(a, x)      memset(a, x, sizeof(a))
    #define copy(a, b)          memcpy(a, b, sizeof(a))
    
    typedef long long ll;
    typedef pair<int, int> pii;
    typedef unsigned long long ull;
    
    //#ifndef ONLINE_JUDGE
    void RI(vector<int>&a,int n){a.resize(n);for(int i=0;i<n;i++)scanf("%d",&a[i]);}
    void RI(){}void RI(int&X){scanf("%d",&X);}template<typename...R>
    void RI(int&f,R&...r){RI(f);RI(r...);}void RI(int*p,int*q){int d=p<q?1:-1;
    while(p!=q){scanf("%d",p);p+=d;}}void print(){cout<<endl;}template<typename T>
    void print(const T t){cout<<t<<endl;}template<typename F,typename...R>
    void print(const F f,const R...r){cout<<f<<", ";print(r...);}template<typename T>
    void print(T*p, T*q){int d=p<q?1:-1;while(p!=q){cout<<*p<<", ";p+=d;}cout<<endl;}
    //#endif
    template<typename T>bool umax(T&a, const T&b){return b<=a?false:(a=b,true);}
    template<typename T>bool umin(T&a, const T&b){return b>=a?false:(a=b,true);}
    
    const double PI = acos(-1.0);
    const int INF = 1e9 + 7;
    const double EPS = 1e-12;
    
    /* -------------------------------------------------------------------------------- */
    
    const int maxn = 1e5 + 7;
    
    int a[maxn], R[maxn], L[maxn];
    
    int main() {
    #ifndef ONLINE_JUDGE
        freopen("in.txt", "r", stdin);
        //freopen("out.txt", "w", stdout);
    #endif // ONLINE_JUDGE
        int n, d1, d2;
        while (cin >> n >> d1 >> d2) {
            for (int i = 1; i <= n; i ++) {
                scanf("%d", a + i);
            }
            for (int i = n; i >= 2; i --) {
                a[i] = a[i] - a[i - 1];
            }
            a[n + 1] = INF * 2;
            R[n + 1] = INF;
            for (int i = 1; i <= n; i ++) {
                L[i] = max(1, a[i] == d1? L[i - 1] : i);
            }
            for (int i = n; i; i --) {
                R[i] = min(n, a[i + 1] == d2? R[i + 1] : i);
            }
            int lastl = 0, lastr =0;
            ll ans = 0;
            for (int i = 1; i <= n; i ++) {
                ll c = R[i] - L[i] + 1;
                ans += c * (c + 1) / 2;
                ll cc = min(lastr, R[i]) - L[i] + 1;
                if (cc > 0) ans -= cc * (cc + 1) / 2;
                lastl = L[i];
                umax(lastr, R[i]);
            }
            cout << ans << endl;
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/jklongint/p/4740926.html
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