• codeforces 659C . Tanya and Toys 二分


    题目链接

    将给出的已经有了的排序, 在前面加上0, 后面加上1e9+1。
    然后对相邻的两项判断。 如果相邻两项之间的数的和小于m, 那么全都选上, m减去相应的值。
    如果大于m, 那么二分判断最多能选多少个。

    #include <iostream>
    #include <vector>
    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    #include <complex>
    #include <cmath>
    #include <map>
    #include <set>
    #include <string>
    #include <queue>
    #include <stack>
    #include <bitset>
    using namespace std;
    #define pb(x) push_back(x)
    #define ll long long
    #define mk(x, y) make_pair(x, y)
    #define lson l, m, rt<<1
    #define mem(a) memset(a, 0, sizeof(a))
    #define rson m+1, r, rt<<1|1
    #define mem1(a) memset(a, -1, sizeof(a))
    #define mem2(a) memset(a, 0x3f, sizeof(a))
    #define rep(i, n, a) for(int i = a; i<n; i++)
    #define fi first
    #define se second
    typedef complex <double> cmx;
    typedef pair<int, int> pll;
    const double PI = acos(-1.0);
    const double eps = 1e-8;
    const int mod = 1e9+7;
    const int inf = 1061109567;
    const int dir[][2] = { {-1, 0}, {1, 0}, {0, -1}, {0, 1} };
    const int maxn = 1e5+5;
    int ans[maxn], a[maxn], cnt;
    int check(int l, int r, int sum) {
        int len = r-l+1;
        ll tmp = 1LL*(l+r)*len/2;
        if(tmp<=sum)
            return 1;
        return 0;
    }
    void bin(int l, int r, int sum) {
        int pos = l;
        int tmpl = l;
        while(l<=r) {
            int m = l+r>>1;
            if(check(tmpl, m, sum)) {
                pos = m;
                l = m+1;
            } else
                r = m-1;
        }
        for(int i = tmpl; i <= pos; i++)
            ans[cnt++] = i;
    }
    int main()
    {
        int n, m;
        cin>>n>>m;
        a[0] = 0;
        for(int i = 1; i <= n; i++)
            scanf("%d", &a[i]);
        a[++n] = 1e9+1;
        sort(a, a+n+1);
        for(int i = 0; i < n; i++) {
            int tmp = a[i+1]-a[i];
            if(tmp==1)
                continue;
            if(tmp==2) {
                if(m>=a[i]+1) {
                    m -= (a[i]+1);
                    ans[cnt++] = a[i]+1;
                    continue;
                } else
                    break;
            }
            int a1 = a[i]+1, an = a[i+1]-1;
            tmp--;
            ll sum = 1LL*(a1+an)*tmp/2;
            if(sum<=m) {
                m -= sum;
                for(int j = a[i]+1; j<=a[i+1]-1; j++) {
                    ans[cnt++] = j;
                }
            } else {
                if(a1<=m) {
                    bin(a1, an, m);
    
                }
                break;
            }
        }
        cout<<cnt<<endl;
        for(int i = 0; i < cnt; i++)
            printf("%d ", ans[i]);
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/yohaha/p/5340405.html
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