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 <bits/stdc++.h>
using ll = long long;
template <class T>
using Vec = std::vector<T>;
int main() {
int N, M;
std::cin >> N >> M;
Vec<int> A(M), B(M);
for (int i = 0; i < M; ++i) {
std::cin >> A[i] >> B[i];
A[i] -= 1;
B[i] -= 1;
}
if (N <= 15 and M <= 15) {
for (int set = 0; set < (1 << M); ++set) {
bool ok = true;
for (int i = 0; i < N; ++i) {
bool f = false, g = false;
for (int j = 0; j < M; ++j) {
if ((A[j] <= B[j] and A[j] <= i and i <= B[j]) or (A[j] > B[j] and (A[j] <= i or i <= B[j]))) {
((set >> j & 1) ? f : g) = true;
}
}
if (!f or !g) {
ok = false;
break;
}
}
if (ok) {
for (int j = 0; j < M; ++j) {
std::cout << (set >> j & 1);
}
std::cout << '\n';
return 0;
}
}
std::cout << "impossible\n";
return 0;
}
Vec<Vec<int>> right(N);
for (int i = 0; i < M; ++i) {
assert(A[i] <= B[i]);
right[A[i]].push_back(i);
}
int r1 = 0, r2 = 0;
Vec<int> assign(M);
for (int i = 0; i < N; ++i) {
if (std::min(r1, r2) < i) {
std::cout << "impossible\n";
return 0;
}
for (const auto x: right[i]) {
if (r1 < r2) {
assign[x] = 0;
r1 = std::max(r1, B[x] + 1);
}
else {
assign[x] = 1;
r2 = std::max(r2, B[x] + 1);
}
}
}
if (std::min(r1, r2) < N) {
std::cout << "impossible\n";
}
else {
for (const auto x: assign) {
std::cout << x;
}
std::cout << '\n';
}
return 0;
}
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