• 洛谷 P2866 [USACO06NOV]糟糕的一天Bad Hair Day 牛客假日团队赛5 A (单调栈)


    链接:https://ac.nowcoder.com/acm/contest/984/A
    来源:牛客网

    题目描述
    Some of Farmer John's N cows (1 ≤ N ≤ 80,000) are having a bad hair day! Since each cow is self-conscious about her messy hairstyle, FJ wants to count the number of other cows that can see the top of other cows' heads.
    Each cow i has a specified height hi (1 ≤ hi ≤ 1,000,000,000) and is standing in a line of cows all facing east (to the right in our diagrams). Therefore, cow i can see the tops of the heads of cows in front of her (namely cows i+1, i+2, and so on), for as long as these cows are strictly shorter than cow i.
    Consider this example:

    = =
    = - = Cows facing right -->
    = = =
    = - = = =
    = = = = = =

    1 2 3 4 5 6 Cow#1 can see the hairstyle of cows #2, 3, 4
    Cow#2 can see no cow's hairstyle
    Cow#3 can see the hairstyle of cow #4
    Cow#4 can see no cow's hairstyle
    Cow#5 can see the hairstyle of cow 6
    Cow#6 can see no cows at all!
    Let ci denote the number of cows whose hairstyle is visible from cow i; please compute the sum of c1 through cN.For this example, the desired is answer 3 + 0 + 1 + 0 + 1 + 0 = 5.
    输入描述:
    Line 1: The number of cows, N.
    Lines 2..N+1: Line i+1 contains a single integer that is the height of cow i.
    输出描述:
    Line 1: A single integer that is the sum of c1 through cN.
    示例1
    输入
    复制
    6
    10
    3
    7
    4
    12
    2
    输出
    复制
    5

    题意:

    思路:

    单调栈模版题

    细节见代码:

    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    #include <cmath>
    #include <queue>
    #include <stack>
    #include <map>
    #include <set>
    #include <vector>
    #include <iomanip>
    #define ALL(x) (x).begin(), (x).end()
    #define rt return
    #define dll(x) scanf("%I64d",&x)
    #define xll(x) printf("%I64d
    ",x)
    #define sz(a) int(a.size())
    #define all(a) a.begin(), a.end()
    #define rep(i,x,n) for(int i=x;i<n;i++)
    #define repd(i,x,n) for(int i=x;i<=n;i++)
    #define pii pair<int,int>
    #define pll pair<long long ,long long>
    #define gbtb ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)
    #define MS0(X) memset((X), 0, sizeof((X)))
    #define MSC0(X) memset((X), '', sizeof((X)))
    #define pb push_back
    #define mp make_pair
    #define fi first
    #define se second
    #define eps 1e-6
    #define gg(x) getInt(&x)
    #define chu(x) cout<<"["<<#x<<" "<<(x)<<"]"<<endl
    using namespace std;
    typedef long long ll;
    ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
    ll lcm(ll a,ll b){return a/gcd(a,b)*b;}
    ll powmod(ll a,ll b,ll MOD){ll ans=1;while(b){if(b%2)ans=ans*a%MOD;a=a*a%MOD;b/=2;}return ans;}
    inline void getInt(int* p);
    const int maxn=1000010;
    const int inf=0x3f3f3f3f;
    /*** TEMPLATE CODE * * STARTS HERE ***/
    int n;
    ll a[maxn];
    // int st[maxn];
    stack<ll> st;
    int main()
    {
        //freopen("D:\common_text\code_stream\in.txt","r",stdin);
        //freopen("D:\common_textcode_stream\out.txt","w",stdout);
        gbtb;
        cin>>n;
        repd(i,1,n)
        {
            cin>>a[i];
        }
    
        ll ans=0ll;
        repd(i,1,n)
        {
            while(!st.empty()&&st.top()<=a[i])
            {
                st.pop();
            }
            st.push(a[i]);
            ans+=1ll*(st.size()-1);
        }
        cout<<ans<<endl;
    
    
    
        return 0;
    }
    
    inline void getInt(int* p) {
        char ch;
        do {
            ch = getchar();
        } while (ch == ' ' || ch == '
    ');
        if (ch == '-') {
            *p = -(getchar() - '0');
            while ((ch = getchar()) >= '0' && ch <= '9') {
                *p = *p * 10 - ch + '0';
            }
        }
        else {
            *p = ch - '0';
            while ((ch = getchar()) >= '0' && ch <= '9') {
                *p = *p * 10 + ch - '0';
            }
        }
    }
    
    
    
    
    
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  • 原文地址:https://www.cnblogs.com/qieqiemin/p/11169259.html
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