# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
206669 | opukittpceno_hhr | Rope (JOI17_rope) | C++17 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdio>
#include <iomanip>
#include <fstream>
#include <cassert>
#include <cstring>
#include <unordered_set>
#include <unordered_map>
#include <numeric>
#include <ctime>
#include <bitset>
#include <complex>
#include <random>
using namespace std;
const int N = 15;
const int INF = 1e9 + 239;
const int NONE = -1;
int eq(int a, int b) {
if (a == NONE || b == NONE) {
return 1;
} else {
return a == b;
}
}
int dp[N][N + 1];
int cans(vector<int> s) {
int n = (int)s.size();
for (int i = 0; i < N; i++) {
for (int j = 0; j <= N; j++) {
dp[i][j] = -1;
}
}
function<int(int, int)> can = [&](int i, int len) {
if (len % 2 == 1) {
return n;
}
if (len == 0) {
return 0;
}
if (dp[i][len] == -1) {
dp[i][len] = can(i + 1, len - 2) + !eq(s[i], s[i + len - 1]);
}
return dp[i][len];
};
vector<int> pdp(n + 1, INF);
pdp[0] = 0;
for (int i = 0; i < n; i++) {
for (int len = 2; i + len <= n; len++) {
pdp[i + len / 2] = min(pdp[i + len / 2], pdp[i] + can(i, len));
}
}
reverse(s.begin(), s.end());
for (int i = 0; i < N; i++) {
for (int j = 0; j <= N; j++) {
dp[i][j] = -1;
}
}
vector<int> sdp(n + 1, INF);
sdp[0] = 0;
for (int i = 0; i < n; i++) {
for (int len = 2; i + len <= n; len++) {
sdp[i + len / 2] = min(sdp[i + len / 2], sdp[i] + can(i, len));
}
}
int ans = n;
for (int i = 0; i <= n; i++) {
if (n - 2 - i >= 0) {
ans = min(ans, pdp[i] + sdp[n - 2 - i]);
}
}
return ans == 0;
}
int solve(vector<int> s, int a, int b) {
int n = (int)s.size();
int ans = n;
for (int i = 0; i < (1 << n); i++) {
vector<int> ts = s;
for (int j = 0; j < n; j++) {
if ((i >> j) & 1) {
ts[j] = a;
} else {
ts[j] = b;
}
}
if (cans(ts)) {
int c = 0;
for (int j = 0; j < n; j++) {
c += !eq(s[j], ts[j]);
}
ans = min(ans, c);
}
}
for (auto t : s) {
ans += (t == NONE);
}
return ans;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
// vector<int> a;
// a = {2, 2, 1, 1, NONE, NONE, 2, 1, 1, 2};
// cout << solve(a, 2, 1) << endl;
// vector<int> a;
// a = {2, 2, 1, 1, 1, 1, 2, 1, 1, 2};
// cout << cans(a) << endl;
int n, m;
cin >> n >> m;
vector<int> a(n);
for (auto &t : a) {
cin >> t;
t--;
}
vector<int> ans(m, n);
for (int i = 0; i < m; i++) {
for (int j = i; j < m; j++) {
vector<int> ta = a;
for (auto &x : ta) {
if (x != i && x != j) x = NONE;
}
int v = solve(ta, i, j);
ans[i] = min(ans[i], v);
ans[j] = min(ans[j], v);
}
}
for (auto t : ans) {
cout << t << '\n';
}
}