Educational Codeforces Round 160 (Rated for Div

A Rating Increas

题目大意

给定一个数字,让我们拆分成两个数,这两个数满足以下条件:

1. a < b.
2. 两个数没有前缀0.

问:输出满足条件的数a , b.

解题思路

直接暴力循环这个数的位数次,若满足a < b,再判断两个数的位数和是否与拆分前相同.

代码

#include <bits/stdc++.h>

#define int long long
#define endl '\n'

void solve() {
    int n, cnt = 1, k = 0;
    std::cin >> n;
    int s = n;
    while (s) {
        k++;
        s /= 10;
    }
    int t = k;
    while (k--) {
        int w = n;
        int a = w / cnt, b = w % cnt;
        int x = a, y = b;
        int s1 = 0, s2 = 0;
        while (x) {
            s1++;
            x /= 10;
        }
        while (y) {
            s2++;
            y /= 10;
        }
        if (a < b && s1 + s2 == t) {
            std::cout << a << " " << b << endl;
            return;
        }
        cnt *= 10;
    }
    std::cout << -1 << endl;
}

signed main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr), std::cout.tie(nullptr);
    int Lazy_boy_ = 1;
    std::cin >> Lazy_boy_;
    while (Lazy_boy_--)
        solve();
    return 0;
}

---

B Swap and Delete

题目大意

给一个01字符串s,现在有以下操作:

1. 交换s[i],s[j],此操作花费为0.
2. 删除s[i],此操作花费一个金币.

将修改后的字符串记录为t.
问:至少花费多少金币,使得t[i] != s[i] (0 <= i <= t.size()).

解题思路

我们可以记一下有多少个0 和多少个1,
然后我们遍历一次字符串,check当前0的个数是否大于1的总数和当前1的个数是否大于0的总数

代码

#include <bits/stdc++.h>

#define int long long
#define endl '\n'

void solve() {
    std::string s;
    std::cin >> s;
    int s0 = 0, s1 = 0;
    for (auto i: s)
        s0 += (i == '0'), s1 += (i == '1');
    int cnt0 = 0, cnt1 = 0, ans = 0;
    for (int i = 0; i < (int) s.size(); i++) {
        cnt0 += (s[i] == '0'), cnt1 += (s[i] == '1');
        if (s0 >= cnt1 && s1 >= cnt0)
            ans = std::max(ans, i + 1);
    }
    std::cout << (int) s.size() - ans << endl;
}

signed main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr), std::cout.tie(nullptr);
    int Lazy_boy_ = 1;
    std::cin >> Lazy_boy_;
    while (Lazy_boy_--)
        solve();
    return 0;
}

C Game with Multiset

题目大意

有两种查询类型:

1. ADD x,即在集合中添加2^x的元素.
2. GET w,即询问集合中的某子集之和,能否等于w.

解题思路

很显然,本题考查位运算,用数组模拟,其中cnt[i]表示集合中2^i的元素个数.

代码

#include <bits/stdc++.h>

#define int long long
#define endl '\n'

void solve() {
    int n;
    std::cin >> n;
    std::vector<int> cnt(32, 0ll);
    auto calc = [&](int x) {
        for (int i = 31; i >= 0; i--) {
            int l = 0, r = cnt[i], s = 0;
            while (l <= r) {
                int mid = (l + r + 1) >> 1;
                if (mid * (1 << i) <= x)
                    s = mid, l = mid + 1;
                else
                    r = mid - 1;
            }
            x -= (1 << i) * s;
        }
        std::cout << (x == 0 ? "YES" : "NO") << endl;
    };
    while (n--) {
        int t, v;
        std::cin >> t >> v;
        if (t == 1)
            cnt[v]++;
        else
            calc(v);
    }
}

signed main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr), std::cout.tie(nullptr);
    int Lazy_boy_ = 1;
//    std::cin >> Lazy_boy_;
    while (Lazy_boy_--)
        solve();
    return 0;
}