A题
题目链接:https://codeforces.com/problemset/problem/1833/A
基本思路:for循环遍历字符串s,依次截取字符串s的子串str,并保存到集合中,最后输出集合内元素的数目即可
AC代码:
#include <iostream>
#include <algorithm>
#include <string>
#include <set>
using namespace std;
typedef long long ll;
typedef long double db;
void solve()
{
set<string>st;
int n;
cin >> n;
string s;
cin >> s;
for (int i = 0; i < n - 1; i++)
{
string str = s.substr(i, 2);
st.insert(str);
}
cout << st.size() << endl;
}
int main()
{
int t;
cin >> t;
while (t--)
{
solve();
}
return 0;
}
B题
题目链接:https://codeforces.com/problemset/problem/1833/B
基本思路:可以使用结构体与快速排序来解题。第一,用结构体p来存储数组a和其对应的原始位置id,并为数组b预留出变量c这个位置。第二,先对结构体进行排序,若a的值相同则id小的排在前面。第三,对数组b进行排序。第四,讲排序后的数组b的值依次赋值给结构体中的变量c。最后,将结构体根据id恢复其原来的排序,最后使用for循环遍历,依次输出c即可。
AC代码:
#include <iostream>
#include <algorithm>
using namespace std;
typedef long long ll;
typedef long double db;
ll b[100005];
struct nodes
{
ll a;
int id;
ll c;
}p[100005];
bool cmp(nodes x, nodes y)
{
if (x.a == y.a)
return x.id < y.id;
return x.a < y.a;
}
bool kmp(nodes x, nodes y)
{
return x.id < y.id;
}
void solve()
{
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++)
{
cin >> p[i].a;
p[i].id = i;
}
for (int i = 1; i <= n; i++)
{
cin >> b[i];
}
sort(p + 1, p + 1 + n, cmp);
sort(b + 1, b + 1 + n);
for (int i = 1; i <= n; i++)
p[i].c = b[i];
sort(p + 1, p + 1 + n, kmp);
for (int i = 1; i <= n; i++)
cout << p[i].c << " ";
cout << endl;
}
int main()
{
int t;
cin >> t;
while (t--)
{
solve();
}
return 0;
}
C题
题目链接:https://codeforces.com/problemset/problem/1833/C
基本思路:因为奇数与奇数相减为偶数,偶属于偶数相减为偶数,奇数与偶数相减只能为奇数。所以,想要数组a变成全是偶数或者全是奇数的序列(序列有奇有偶),奇数的最小值必须比偶数的最小值小,整个序列才可以变为全奇数的序列(不可能变成全偶数)。
AC代码:
#include <iostream>
#include <algorithm>
using namespace std;
typedef long long ll;
typedef long double db;
int a[200005];
void solve()
{
int n;
cin >> n;
for (int i = 1; i <= n; i++)
cin >> a[i];
int ou = 0, ji = 0, minou = 1e9, minji = 1e9;
for (int i = 1; i <= n; i++)
{
if (a[i] & 1)
{
ji++;
minji = min(minji, a[i]);
}
else
{
ou++;
minou = min(minou, a[i]);
}
}
if (ji > 0 && ou > 0 && minou < minji)
{
cout << "NO" << endl;
}
else
{
cout << "YES" << endl;
}
}
int main()
{
int t;
cin >> t;
while (t--)
{
solve();
}
return 0;
}
D题
题目链接:https://codeforces.com/problemset/problem/1833/D
基本思路:因为要获得操作之后字典序最大的排列,所以,我们要想方设法地将p[2]到p[n]之间最大的数maxx放到最前面。我们不妨设置low和high两个左右指针。当p[n]==maxx时,high指向p[n],
当的时候,high指向maxx的前一个元素。再设置一个指针op指向p[1],因为在将low到high之间的元素转换之后,low左边的元素会转移到后方。因此,为了使操作完成之后的排列尽可能地大,我们可以先将low指向high,如果p[low-1]>p[op],则将low指针左移,这样便可保证操作之后的排列的字典序最大。
AC代码:
#include <iostream>
#include <algorithm>
using namespace std;
typedef long long ll;
typedef long double db;
int p[2005];
void solve()
{
int n;
cin >> n;
for (int i = 1; i <= n; i++)
cin >> p[i];
int maxx = n;
if (p[1] == maxx)
{
maxx--;
}
if (p[n] == maxx)
{
int op = 1, low = n, r = n;
while (p[low - 1] > p[op])
low--;
for (int i = r; i >= low; i--)
cout << p[i] << " ";
for (int i = 1; i < low; i++)
cout << p[i] << " ";
cout << endl;
return;
}
int r = 1;
for(int i=1;i<=n;i++)
if (p[i] == maxx)
{
r = i - 1;
break;
}
int op = 1, low = r;
while (p[low - 1] > p[op])
low--;
for (int i = r + 1; i <= n; i++)
cout << p[i] << " ";
for (int i = r; i >= low; i--)
cout << p[i] << " ";
for (int i = 1; i < low; i++)
cout << p[i] << " ";
cout << endl;
}
int main()
{
int t;
cin >> t;
while (t--)
{
solve();
}
return 0;
}
E题
题目链接:https://codeforces.com/problemset/problem/1833/E
基本思路:可以使用并查集来求解。用并查集将其分为多少个组,最大值便是多少。因为每两个度为1的点可以合成一块,所以用变量ans来统计一下度为1的点,最后计算得到最小值的数量:
AC代码:
#include <iostream>
#include <algorithm>
#include <string>
#include <map>
using namespace std;
typedef long long ll;
typedef long double db;
typedef pair<int, int>pii;
map<pii, bool>mp;
int f[200005], a[200005], du[200005];
int find(int x)//并查集认爹函数+路径压缩
{
if (x != f[x])
f[x] = find(f[x]);
return f[x];
}
void solve()
{
int n;
cin >> n;
for (int i = 1; i <= n; i++)
{
cin >> a[i];
}
mp.clear();
for (int i = 1; i <= n; i++)
{
f[i] = i;
du[i] = 0;
}
for (int i = 1; i <= n; i++)
{
if (mp[{i, a[i]}] == false && mp[{a[i], i}] == false)
{
du[a[i]]++;
du[i]++;
f[find(i)] = find(a[i]);
mp[{i, a[i]}] = true;
mp[{a[i], i}] = true;
}
}
int maxx = 0, ans = 0;
for (int i = 1; i <= n; i++)
{
if (find(i) == i)
maxx++;
if (du[i] == 1)
ans++;
}
int minn = min(maxx, maxx - ans / 2 + 1);
cout << minn << " " << maxx << endl;
}
int main()
{
int t;
cin >> t;
while (t--)
{
solve();
}
return 0;
}