Educational Codeforces Round 129(补题)
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C. Double Sort
题意
让我们对两个数组进行排序,每次进行排序要同时将a,b数组同时进行排序,问能不能将数组变为非递减数组
算法(前缀和+手动模拟排序)
我们先找出每个数在数组的位置的范围,每个数在分别的数组上面的位置相对是稳定的,如果对应位置的ai,bi范围相交,那么我们就可以去max(l1,l2),即可。找位置可以使用前缀和找出。
C++
// Problem: C. Double Sort
// Contest: Codeforces - Educational Codeforces Round 129 (Rated for Div. 2)
// URL: https://codeforces.com/contest/1681/problem/C
// Memory Limit: 256 MB
// Time Limit: 2000 ms
// Powered by CP Editor (https://cpeditor.org)
#include<iostream>
#include<vector>
#include<queue>
#include<stack>
#include<algorithm>
#include<cstring>
#define endl "\n"
#define x first
#define y second
using namespace std;
const int N = 110;
typedef pair<int,int> PII;
int n, m, k;
int a[N], b[N];
int va[N], vb[N], e[N];
bool check(int l1, int r1, int l2, int r2)
{
if(l1 > l2) swap(l1, l2), swap(r1, r2);
return l2 <= r1;
}
int main()
{
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
cin >> k;
while(k--)
{
cin >> n;
for(int i = 1; i <= n; i++)
va[i] = vb[i] = 0;
for(int i = 1; i <= n; i++)
{
cin >> a[i];
va[a[i]]++;
}
for(int i = 1; i <= n; i++)
{
cin >> b[i];
vb[b[i]]++;
}
for(int i = 1; i <= n; i++)
va[i] += va[i - 1], vb[i] += vb[i - 1];
bool flag = true;
for(int i = 1; i <= n; i++)
{
int l1 = va[a[i] - 1] + 1, r1 = va[a[i]];
int l2 = vb[b[i] - 1] + 1, r2 = vb[b[i]];
if(!check(l1, r1, l2, r2))
{
flag = false;
break;
}
else
e[i] = max(l1, l2);
}
if(flag)
{
vector<PII> ans;
for(int i = 1;i <= n; i++)
for(int j = 1; j <= n - i; j++)
{
if(e[j] > e[j + 1])
{
swap(e[j], e[j + 1]);
ans.push_back({j, j + 1});
}
}
cout << ans.size() << endl;
for(auto c : ans)
cout << c.x << " " << c.y << endl;
}
else
cout << -1 << endl;
}
return 0;
}
D. Required Length
题意
给我们两个数n,m,让m进行任意多次以在m数字中出现的十进制数相乘,直到m的位数大于等于n即可
算法 bfs
我们将开始的数字放入队列,将到m的数字的每一位进行遍历,之后分别相乘并且放入队列之中,直到位数大于等于n即可。
c++
// Problem: D. Required Length
// Contest: Codeforces - Educational Codeforces Round 129 (Rated for Div. 2)
// URL: https://codeforces.com/contest/1681/problem/D
// Memory Limit: 512 MB
// Time Limit: 2000 ms
// yyyy-MM-dd HH:mm:ss
//
// Powered by CP Editor (https://cpeditor.org)
#include<iostream>
#include<vector>
#include<queue>
#include<stack>
#include<map>
#include<algorithm>
#include<cstring>
#define endl "\n"
#define x first
#define y second
using namespace std;
typedef unsigned long long ll;
typedef pair<ll, ll> pii;
map<ll, int> vis;
const int N = 1e5 + 10;
ll n, m, k;
ll cnt[11];
int dfs(ll s)
{
queue<pii> q;
q.push({s, 0});
while(q.size())
{
pii now = q.front();
q.pop();
if(now.x == 0)
return now.y;
if(vis[now.x])
continue;
vis[now.x] = now.y;
ll t = now.x, len = 0;
while(t)
{
cnt[t % 10] = 1;
t /= 10;
len++;
}
if(len >= n)
return now.y;
for(int i = 2; i <= 9; i++)
if(cnt[i])
q.push({now.x * i, now.y + 1});
memset(cnt, 0, sizeof cnt);
}
return -1;
}
int main()
{
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
cin >> n >> m;
cout << dfs(m) << endl;
return 0;
}
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