| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1324363 | sh_qaxxorov_571 | Paint By Numbers (IOI16_paint) | C++20 | 317 ms | 45648 KiB |
#include "paint.h"
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 200005;
const int MAXK = 105;
bool pref[MAXN][MAXK], suff[MAXN][MAXK];
int can_x[MAXN], can_white[MAXN];
int sum_white[MAXN], sum_black[MAXN];
// Berilgan oraliqda oq katak bormi?
bool has_white(int l, int r) {
if (l > r) return false;
return (sum_white[r] - sum_white[l - 1]) > 0;
}
// Berilgan oraliqda qora katak bormi?
bool has_black(int l, int r) {
if (l > r) return false;
return (sum_black[r] - sum_black[l - 1]) > 0;
}
string solve_puzzle(string s, vector<int> c) {
int n = s.length();
int k = c.size();
s = " " + s + " "; // 1-indexed qilish uchun
for (int i = 1; i <= n; i++) {
sum_white[i] = sum_white[i - 1] + (s[i] == '_');
sum_black[i] = sum_black[i - 1] + (s[i] == 'X');
}
// Oldindan hisoblash (Prefix DP)
pref[0][0] = true;
for (int i = 1; i <= n; i++) {
for (int j = 0; j <= k; j++) {
// Holat 1: i-katak oq bo'lishi mumkinmi?
if (s[i] != 'X' && pref[i - 1][j]) {
pref[i][j] = true;
}
// Holat 2: i-katak j-blokning oxiri bo'lishi mumkinmi?
if (j > 0 && i >= c[j - 1]) {
int start = i - c[j - 1] + 1;
if (!has_white(start, i)) { // Blok ichida oq katak yo'q
if (start == 1) {
if (j == 1) pref[i][j] = true;
} else if (s[start - 1] != 'X' && pref[start - 2][j - 1]) {
pref[i][j] = true;
}
}
}
}
}
// Orqadan hisoblash (Suffix DP)
suff[n + 1][k + 1] = true;
for (int i = n; i >= 1; i--) {
for (int j = 1; j <= k + 1; j++) {
if (s[i] != 'X' && suff[i + 1][j]) {
suff[i][j] = true;
}
if (j <= k && i + c[j - 1] - 1 <= n) {
int end = i + c[j - 1] - 1;
if (!has_white(i, end)) {
if (end == n) {
if (j == k) suff[i][j] = true;
} else if (s[end + 1] != 'X' && suff[end + 2][j + 1]) {
suff[i][j] = true;
}
}
}
}
}
// Kataklarni tekshirish
for (int i = 1; i <= n; i++) {
// Oq bo'lishi mumkinmi?
for (int j = 0; j <= k; j++) {
if (s[i] != 'X' && pref[i - 1][j] && suff[i + 1][j + 1]) {
can_white[i] = 1;
break;
}
}
// Qora bo'lishi mumkinmi?
}
// Bloklarni tekshirish (qaysi kataklar qora blokning qismi bo'la oladi)
for (int j = 1; j <= k; j++) {
int len = c[j - 1];
for (int i = 1; i <= n - len + 1; i++) {
int end = i + len - 1;
bool possible = false;
if (!has_white(i, end)) {
bool p_ok = (i == 1 && j == 1) || (i > 1 && s[i - 1] != 'X' && pref[i - 2][j - 1]);
bool s_ok = (end == n && j == k) || (end < n && s[end + 1] != 'X' && suff[end + 2][j + 1]);
if (p_ok && s_ok) possible = true;
}
if (possible) {
can_x[i]++;
can_x[end + 1]--;
}
}
}
int cur_x = 0;
string res = "";
for (int i = 1; i <= n; i++) {
cur_x += can_x[i];
if (cur_x > 0 && can_white[i]) res += '?';
else if (cur_x > 0) res += 'X';
else res += '_';
}
return res;
}컴파일 시 표준 에러 (stderr) 메시지
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