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文章目录
- 前言
- A. Recovering a Small String
- B. Make Equal
- C. Make Equal Again
- D. Divisible Pairs
- E. Anna and the Valentine's Day Gift
前言
本篇博客是Codeforces Round 925周赛的A、B、C、D、E五题的题解
A. Recovering a Small String
可以通过sum的大小分为三种情况,分别是:(1)aa? (2)a?z (3)?zz,这种方法时间复杂度要比三循环做法低很多
#include<bits/stdc++.h>using namespace std;void solve()
{int sum;cin >> sum;if(3 <= sum && sum <= 28){cout << 'a' << 'a';char r = 'a' - 1 + sum - 2;cout << r << endl;}else if(29 <= sum && sum <= 53){cout << 'a';char r = 'a' - 1 + sum - 27;cout << r;cout << 'z' << endl;}else if(54 <= sum && sum <= 78){char r = 'a' - 1 + sum - 52;cout << r << 'z' << 'z' << endl;}
}int main()
{ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);int T;cin >> T;while (T--) solve();return 0;
}
B. Make Equal
直接用前缀判断即可,从头开始枚举前缀看是否能满足每个范围的水量
#include<bits/stdc++.h>using namespace std;const int N = 2e5 + 20;
int a[N];void solve()
{int n;cin >> n;int sum = 0;for(int i = 1; i <= n; i ++ ){cin >> a[i];sum += a[i];}int temp = sum / n;bool flag = true;int s = 0;for(int i = 1; i <= n; i ++ ){s += a[i];if(s < temp * i){flag = false;break;}}if(flag) cout << "YES" << endl;else cout << "NO" << endl;
}int main()
{ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);int T;cin >> T;while (T--) solve();return 0;
}
C. Make Equal Again
枚举得到第一个与a1不同的位置,最后一个与an不同的位置,a1==an则取r - l + 1,否则取min(n + 1 - l, r)
#include<bits/stdc++.h>using namespace std;const int N = 2e5 + 10;int a[N];void solve()
{int n;cin >> n;for(int i = 1; i <= n; i ++ ) cin >> a[i];int l = 1, r = n;while(l <= n && a[l] == a[1]) l ++;while(r >= 1 && a[r] == a[n]) r --;if(!r) cout << 0 << endl;else if(a[1] != a[n]) cout << min(n + 1 - l, r) << endl;else cout << r - l + 1 << endl;
}int main()
{ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);int T;cin >> T;while (T--) solve();return 0;
}
D. Divisible Pairs
将所有{ai mod x, ai mod y}存入map,通过余数判断是否存在ai对应的aj,aj则是{(x - (a[i] % x)) % x, a[i] % y}对应的数,这样ai+aj恰好被x整除(余数相加被x整除),ai-aj恰好被y整除(余数恰好消掉)。但是在每次取ai后要使得mp[{a[i] % x, a[i] % y}] --,因为i严格小于j
#include<bits/stdc++.h>
#define pii pair<int, int>
#define ll long longusing namespace std;const int N = 2e5 + 10;int a[N];void solve()
{int n, x, y;cin >> n >> x >> y;map<pii, int> mp;for(int i = 1;i <= n; i ++ ){cin >> a[i];mp[{a[i] % x, a[i] % y}] ++;}ll ans = 0;for(int i = 1; i <= n; i ++ ){mp[{a[i] % x, a[i] % y}] --; //i严格小于jans += mp[{(x - (a[i] % x)) % x, a[i] % y}];}cout << ans << endl;
}int main()
{ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);int T;cin >> T;while (T--) solve();return 0;
}
E. Anna and the Valentine’s Day Gift
结果取决于最终数的长度,Anna要使长度尽可能小,翻转有后导0的数长度变小;Sasha要使长度尽可能大,将有后导0的数拼接在前可保住长度。所以从Anna每次让后导0最多的元素反转,Sasha每次让后导0最多的拼接在某个数前面,可以使用pair<后导0,总长>来存两者关系
#include<bits/stdc++.h>
#define pii pair<int, int>
#define ll long longusing namespace std;const int N = 2e5 + 10;pii p[N]; //<后导0,总长>void solve()
{int n, m;cin >> n >> m;for(int i = 1; i <= n; i ++ ){string s;cin >> s;p[i] = {0, s.size()};while(s.back() == '0'){s.pop_back();p[i].first ++;}}sort(p + 1, p + 1 + n, greater<pii>()); //从大到小ll len = 0;for(int i = 1; i <= n; i ++ ){if(i % 2) len += p[i].second - p[i].first; //Sasha操作else len += p[i].second; //Anna操作}if(len > m) cout << "Sasha" <<endl;else cout << "Anna" << endl;
}int main()
{ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);int T;cin >> T;while (T--) solve();return 0;
}
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