#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e5;
int l[maxn], r[maxn], ans[maxn], n, m;
map<int, set<long long> > mp;
void brute() {
vector<int> a(n);
for (int mask = 1; mask < (1 << n); ++mask) {
int sum = 0;
for (int i = 0; i < n; ++i) {
int cur = mask & (1 << i);
if (cur > 0) a[i] = 1; else a[i] = 0;
sum += a[i];
}
for (int i = 1; i <= m; ++i) {
if (a[l[i]] == 1 && a[r[i]] == 0) swap(a[l[i]], a[r[i]]);
}
int l = -1, r = -1;
for (int i = 0; i < n; ++i) {
if (a[i] == 1) {
if (l == -1) l = i;
r = i;
}
}
if (r - l + 1 == sum) {
++ans[sum];
}
}
for (int i = 1; i <= n; ++i) cout << ans[i] % 2 << " "; cout << endl;
}
int main() {
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
ios_base::sync_with_stdio(false);
cin >> n >> m;
for (int i = 1; i <= m; ++i) {
cin >> l[i] >> r[i];
--l[i], --r[i];
}
if (n <= 17) {
brute();
return 0;
}
vector<int> a(n);
vector<long long> start, finish;
for (int i = 0; i < n; ++i) {
for (int j = i; j < n; ++j) {
for (int k = 0; k < n; ++k) {
if (k >= i && k <= j) a[k] = 1; else a[k] = 0;
}
long long cur = 0;
for (int k = 0; k < n; ++k) cur = cur * 2 + a[k];
start.push_back(cur);
}
}
for (int it = m; it >= 1; --it) {
finish.clear();
for (const auto& x : start) {
auto cur = x;
long long L = x & (1ll << l[it]);
long long R = x & (1ll << r[it]);
if (L > 0) L = 1;
if (R > 0) R = 1;
if (L == 1 && R == 0) continue;
finish.push_back(x);
if (L == 0 && R == 1) {
cur += (1ll << l[it]);
cur -= (1ll << r[it]);
finish.push_back(cur);
}
}
sort(finish.begin(), finish.end());
if (finish.empty()) {
start = finish;
break;
}
int cnt = 1;
for (int i = 1; i < finish.size(); ++i) {
if (finish[cnt - 1] == finish[i]) continue; else {
++cnt;
finish[cnt - 1] = finish[i];
}
}
while (finish.size() > cnt) finish.pop_back();
start = finish;
}
vector<int> ans(n + 1, 0);
for (const auto& x : start) {
int cnt = 0;
long long cur = x;
while (cur) {
cnt += cur % 2;
cur /= 2;
}
++ans[cnt];
}
for (int i = 1; i <= n; ++i) {
if (i != 1) cout << " ";
cout << ans[i] % 2;
}
cout << endl;
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 | #include <bits/stdc++.h> using namespace std; const int maxn = 1e5; int l[maxn], r[maxn], ans[maxn], n, m; map<int, set<long long> > mp; void brute() { vector<int> a(n); for (int mask = 1; mask < (1 << n); ++mask) { int sum = 0; for (int i = 0; i < n; ++i) { int cur = mask & (1 << i); if (cur > 0) a[i] = 1; else a[i] = 0; sum += a[i]; } for (int i = 1; i <= m; ++i) { if (a[l[i]] == 1 && a[r[i]] == 0) swap(a[l[i]], a[r[i]]); } int l = -1, r = -1; for (int i = 0; i < n; ++i) { if (a[i] == 1) { if (l == -1) l = i; r = i; } } if (r - l + 1 == sum) { ++ans[sum]; } } for (int i = 1; i <= n; ++i) cout << ans[i] % 2 << " "; cout << endl; } int main() { // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); ios_base::sync_with_stdio(false); cin >> n >> m; for (int i = 1; i <= m; ++i) { cin >> l[i] >> r[i]; --l[i], --r[i]; } if (n <= 17) { brute(); return 0; } vector<int> a(n); vector<long long> start, finish; for (int i = 0; i < n; ++i) { for (int j = i; j < n; ++j) { for (int k = 0; k < n; ++k) { if (k >= i && k <= j) a[k] = 1; else a[k] = 0; } long long cur = 0; for (int k = 0; k < n; ++k) cur = cur * 2 + a[k]; start.push_back(cur); } } for (int it = m; it >= 1; --it) { finish.clear(); for (const auto& x : start) { auto cur = x; long long L = x & (1ll << l[it]); long long R = x & (1ll << r[it]); if (L > 0) L = 1; if (R > 0) R = 1; if (L == 1 && R == 0) continue; finish.push_back(x); if (L == 0 && R == 1) { cur += (1ll << l[it]); cur -= (1ll << r[it]); finish.push_back(cur); } } sort(finish.begin(), finish.end()); if (finish.empty()) { start = finish; break; } int cnt = 1; for (int i = 1; i < finish.size(); ++i) { if (finish[cnt - 1] == finish[i]) continue; else { ++cnt; finish[cnt - 1] = finish[i]; } } while (finish.size() > cnt) finish.pop_back(); start = finish; } vector<int> ans(n + 1, 0); for (const auto& x : start) { int cnt = 0; long long cur = x; while (cur) { cnt += cur % 2; cur /= 2; } ++ans[cnt]; } for (int i = 1; i <= n; ++i) { if (i != 1) cout << " "; cout << ans[i] % 2; } cout << endl; return 0; } |
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