#include <iostream>
#include <algorithm>
#include <set>
#include <vector>
#include <cassert>
using namespace std;
int N;
struct Segment {
int index, sortedIndex;
int start, length;
bool direction;
Segment(int index, int start, int length) :
index(index),
start(start),
length(length),
direction(0) {
}
// Check if this segment is completely inside another segment
bool isSubsetOf(const Segment& other) const {
int relativeStart = (start - other.start + N) % N;
return relativeStart + length <= other.length;
}
};
// Returns whether the given solution covers the whole circle
bool checkSolution(const vector<Segment>& segments) {
for (int direction = 0; direction < 2; direction++) {
size_t n = segments.size();
int hi = 0;
for (size_t i = 0; i < 2*n; i++) {
size_t j = i%n;
if (segments[j].direction != direction) {
continue;
}
int start = segments[j].start;
if (i < n) {
start -= N;
}
if (start > hi) {
return false;
}
int end = start + segments[j].length;
hi = max(hi, end);
}
if (hi < N) {
return false;
}
}
return true;
}
void printSolution(const vector<Segment>& segments) {
vector<bool> directions(segments.size());
for (const Segment& segment : segments) {
directions[segment.index] = segment.direction;
}
for (bool d : directions) {
cout << d;
}
cout << endl;
}
int main() {
ios::sync_with_stdio(0);
int M;
cin >> N >> M;
vector<Segment> segments;
for (int i = 0; i < M; i++) {
int a, b;
cin >> a >> b;
segments.emplace_back(i, a-1, ((b-a+N)%N)+1);
}
sort(segments.begin(), segments.end(), [](const Segment& a, const Segment& b) -> bool {
if (a.start == b.start) {
return a.length > b.length;
}
return a.start < b.start;
});
for (int i = 0; i < M; i++) {
segments[i].sortedIndex = i;
}
int hi[2] = {0, 0};
for (int i = 0; i < 2*M; i++) {
int j = i%M;
int start = segments[j].start;
if (i < M) {
start -= N;
}
if (start > hi[0] || start > hi[1]) {
cout << "IMPOSSIBLE" << endl;
return 0;
}
int end = start + segments[j].length;
if (hi[0] < hi[1]) {
segments[j].direction = 0;
}
else {
segments[j].direction = 1;
}
hi[segments[j].direction] = max(hi[segments[j].direction], end);
}
if (checkSolution(segments)) {
printSolution(segments);
}
else {
cout << "IMPOSSIBLE" << endl;
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
248 KB |
Output is correct |
2 |
Correct |
2 ms |
484 KB |
Output is correct |
3 |
Correct |
4 ms |
484 KB |
Output is correct |
4 |
Incorrect |
2 ms |
484 KB |
'impossible' claimed, but there is a solution |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Incorrect |
2 ms |
588 KB |
'impossible' claimed, but there is a solution |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Incorrect |
3 ms |
588 KB |
'impossible' claimed, but there is a solution |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
69 ms |
3220 KB |
Output is correct |
2 |
Correct |
3 ms |
3220 KB |
Output is correct |
3 |
Correct |
21 ms |
3220 KB |
Output is correct |
4 |
Correct |
30 ms |
3220 KB |
Output is correct |
5 |
Correct |
67 ms |
3316 KB |
Output is correct |
6 |
Correct |
68 ms |
3328 KB |
Output is correct |
7 |
Correct |
71 ms |
3376 KB |
Output is correct |
8 |
Correct |
5 ms |
3376 KB |
Output is correct |
9 |
Correct |
3 ms |
3376 KB |
Output is correct |
10 |
Correct |
72 ms |
3376 KB |
Output is correct |
11 |
Correct |
48 ms |
3376 KB |
Output is correct |
12 |
Correct |
73 ms |
3376 KB |
Output is correct |
13 |
Correct |
3 ms |
3376 KB |
Output is correct |
14 |
Correct |
9 ms |
3376 KB |
Output is correct |
15 |
Correct |
71 ms |
3376 KB |
Output is correct |
16 |
Correct |
30 ms |
3376 KB |
Output is correct |
17 |
Correct |
76 ms |
3468 KB |
Output is correct |
18 |
Correct |
76 ms |
3468 KB |
Output is correct |
19 |
Correct |
6 ms |
3468 KB |
Output is correct |
20 |
Correct |
67 ms |
3468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
3468 KB |
'impossible' claimed, but there is a solution |
2 |
Halted |
0 ms |
0 KB |
- |