oj.uz

Submission #208657

# Submission time Handle Problem Language Result Execution time Memory
208657 2020-03-12T01:30:04 Z E869120 Sequence (BOI14_sequence) C++14
42 / 100
 1000 ms 760 KB 
#include <iostream>
#include <algorithm>
#include <string>
using namespace std;

int N, A[1 << 18];
bool used[10000009][10];
bool used3[1009][10];
bool used4[10009][10];

void init() {
	for (int i = 0; i < 10000; i++) {
		int cx = i;
		while (cx >= 1) {
			used[i][cx % 10] = true;
			cx /= 10;
		}
	}
	for (int i = 0; i < 1000; i++) {
		int cx = i;
		for (int j = 0; j < 3; j++) {
			used3[i][cx % 10] = true;
			cx /= 10;
		}
	}
	for (int i = 0; i < 10000; i++) {
		int cx = i;
		for (int j = 0; j < 4; j++) {
			used4[i][cx % 10] = true;
			cx /= 10;
		}
	}
}

bool check(int pos) {
	for (int i = 0; i < N; i++) {
		if (used[pos][A[i]] == false) return false;
		pos++;
	}
	return true;
}

int cnt[109][10];

string fixes(string V, bool flag) {
	if (V == "") {
		if (flag == true) V = "1";
		else V = "0";
	}
	else if (V[0] == '0') {
		if (V.size() == 1) V = "10";
		else swap(V[0], V[1]);
	}
	return V;
}

long long solve(int dig) {
	for (int i = 0; i < 101; i++) {
		for (int j = 0; j < 10; j++) cnt[i][j] = 0;
	}

	int maxt = 0;
	for (int i = 0; i < N; i++) {
		int V1 = (dig + i) % 1000;
		int V2 = (dig + i) / 1000;
		maxt = max(maxt, V2);
		if (used3[V1][A[i]] == true) continue;
		cnt[maxt][A[i]] = 1;
	}

	// ケース 1: 下 3 桁が XYZ の場合
	long long m1 = (1LL << 60);
	for (int i = 0; i < 900; i++) {
		int v[10] = { 0,0,0,0,0,0,0,0,0,0 }; bool flag = false;
		for (int j = 0; j <= maxt; j++) {
			for (int k = 0; k < 10; k++) {
				if (cnt[j][k] == 1 && used3[i + j][k] == false) v[k] = 1;
			}
			if (cnt[j][0] == 1 && used[i + j][0] == false) flag = true;
		}
		string S = ""; for (int j = 0; j < 10; j++) { if (v[j] == 1) S += ('0' + j); }
		S = fixes(S, flag);
		long long eval = 1000000LL * stoll(S) + 1000LL * i + dig;
		m1 = min(m1, eval);
	}

	// ケース 2: 下 4 桁が X9YZ の場合
	long long m2 = (1LL << 60);
	for (int i = 0; i < 9000; i++) {
		if ((i % 1000) <= 899) continue;
		int v[10] = { 0,0,0,0,0,0,0,0,0,0 }; bool flag = false;
		for (int j = 0; j <= maxt; j++) {
			for (int k = 0; k < 10; k++) {
				if (cnt[j][k] == 1 && used4[i + j][k] == false) v[k] = 1;
			}
			if (cnt[j][0] == 1 && used[i + j][0] == false) flag = true;
		}
		string S = ""; for (int j = 0; j < 10; j++) { if (v[j] == 1) S += ('0' + j); }
		S = fixes(S, flag);
		long long eval = 10000000LL * stoll(S) + 1000LL * i + dig;
		m2 = min(m2, eval);
	}

	return min(m1, m2);
}

int main() {
	cin >> N; init();
	for (int i = 0; i < N; i++) cin >> A[i];

	// ステップ 1. 1000 以下を全探索
	for (int i = 1; i <= 1000; i++) {
		if (check(i) == true) {
			cout << i << endl;
			return 0;
		}
	}

	// ステップ 2. そうでない場合
	long long minx = (1LL << 60);
	for (int i = 0; i <= 999; i++) {
		minx = min(minx, solve(i));
	}
	cout << minx << endl;
	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 5 ms 504 KB Output is correct
3 Correct 5 ms 504 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 5 ms 556 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 5 ms 504 KB Output is correct
9 Correct 5 ms 504 KB Output is correct
10 Correct 6 ms 632 KB Output is correct
11 Correct 6 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct
14 Correct 5 ms 504 KB Output is correct
15 Correct 5 ms 504 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 5 ms 504 KB Output is correct
3 Correct 5 ms 504 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 5 ms 504 KB Output is correct
7 Correct 192 ms 504 KB Output is correct
8 Correct 5 ms 504 KB Output is correct
9 Correct 5 ms 504 KB Output is correct
10 Correct 5 ms 504 KB Output is correct
11 Correct 281 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct
14 Correct 5 ms 504 KB Output is correct
15 Correct 5 ms 504 KB Output is correct
16 Correct 5 ms 504 KB Output is correct
17 Correct 6 ms 504 KB Output is correct
18 Correct 295 ms 504 KB Output is correct
19 Correct 312 ms 504 KB Output is correct
20 Correct 379 ms 632 KB Output is correct
21 Correct 311 ms 504 KB Output is correct
22 Correct 380 ms 632 KB Output is correct
23 Correct 383 ms 504 KB Output is correct

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 477 ms 632 KB Output is correct
3 Correct 463 ms 632 KB Output is correct
4 Correct 514 ms 632 KB Output is correct
5 Correct 533 ms 632 KB Output is correct
6 Correct 389 ms 504 KB Output is correct
7 Execution timed out 1083 ms 760 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #4
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 5 ms 508 KB Output is correct
3 Correct 5 ms 504 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Execution timed out 1090 ms 632 KB Time limit exceeded
6 Halted 0 ms 0 KB -