// Author : Jakub Rożek
// Task : Desant 3
// Contest : PA 2024 r4 B
// Memory : O(2^(n/2))
// Time : O(2^(n/2) * (m + n^2))
// Solution : Symuluje sprytnie wszystkie kombinacje
#include "bits/stdc++.h"
using namespace std;
using LL = long long;
template <typename T>
using P = pair<T, T>;
template <typename T>
using VV = vector<vector<T>>;
#define all(x) x.begin(), x.end()
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORD(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i,n) for(int i=0; i<(n); ++i)
#define ssize(x) int((x).size())
#ifdef DEBUG
template <typename T1, typename T2>
auto&operator<<(auto&o,pair<T1,T2>p){return o<<'('<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";for(auto e:x)o<<","<<e;return o<<"}";}
#define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(x)
#else
#define debug(...) {}
#endif
// const int INF = 1'000'000'009;
const int mod = 2;
const int N = 35;
// const int M = 1'000;
int n, m, p, xx, yy;
LL odp[N+1];
LL pref[3][N+1];
LL w1, w2, x, y, z;
vector <P<LL>> zbior[2];
void solution() {
cin >> n >> m;
p = 0;
zbior[p].emplace_back(0LL, 0LL);
REP (i, m) {
cin >> xx >> yy;
x = 1LL << xx;
y = 1LL << yy;
z = x | y;
for (auto w: zbior[p]) {
w1 = w.first;
w2 = w.second;
if ((w1 & z) == 0LL) {
w1 |= z;
zbior[1-p].emplace_back(w1, w2);
w2 |= z;
} else if (((w2&x)&w1) || (((~w2)&y)&w1)) {
if (bool(w1&x) != bool(w1&y)) w1 ^= z;
if (bool(w2&x) != bool(w2&y)) w2 ^= z;
}
zbior[1-p].emplace_back(w1, w2);
}
zbior[p].clear();
p = 1-p;
}
pref[0][0] = 0;
pref[1][0] = 0;
pref[2][0] = 0;
for (auto w: zbior[p]) {
w1 = w.first;
w2 = w.second;
FOR (i, 1, n) {
x = 1LL << i;
pref[0][i] = pref[0][i-1];
pref[1][i] = pref[1][i-1];
pref[2][i] = pref[2][i-1];
if ((w1&x) == 0LL) pref[2][i] += 1;
else if ((w2&x) == 0LL) pref[0][i] += 1;
else pref[1][i] += 1;
}
FOR (i, 1, n) {
FOR (j, i, n) {
if (pref[0][j]-pref[0][i-1] > 0) continue;
if (pref[1][j]-pref[1][i-1] < pref[1][n]) continue;
odp[j-i+1]++;
}
}
}
FOR (i, 1, n) cout << odp[i] % mod << ' ';
cout << '\n';
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int tests = 1;
// cin>>tests;
FOR (i, 1, tests) {
solution();
}
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 | // Author : Jakub Rożek // Task : Desant 3 // Contest : PA 2024 r4 B // Memory : O(2^(n/2)) // Time : O(2^(n/2) * (m + n^2)) // Solution : Symuluje sprytnie wszystkie kombinacje #include "bits/stdc++.h" using namespace std; using LL = long long; template <typename T> using P = pair<T, T>; template <typename T> using VV = vector<vector<T>>; #define all(x) x.begin(), x.end() #define FOR(i,a,b) for(int i=(a); i<=(b); ++i) #define FORD(i,a,b) for(int i=(a); i>=(b); --i) #define REP(i,n) for(int i=0; i<(n); ++i) #define ssize(x) int((x).size()) #ifdef DEBUG template <typename T1, typename T2> auto&operator<<(auto&o,pair<T1,T2>p){return o<<'('<<p.first<<", "<<p.second<<")";} auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";for(auto e:x)o<<","<<e;return o<<"}";} #define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(x) #else #define debug(...) {} #endif // const int INF = 1'000'000'009; const int mod = 2; const int N = 35; // const int M = 1'000; int n, m, p, xx, yy; LL odp[N+1]; LL pref[3][N+1]; LL w1, w2, x, y, z; vector <P<LL>> zbior[2]; void solution() { cin >> n >> m; p = 0; zbior[p].emplace_back(0LL, 0LL); REP (i, m) { cin >> xx >> yy; x = 1LL << xx; y = 1LL << yy; z = x | y; for (auto w: zbior[p]) { w1 = w.first; w2 = w.second; if ((w1 & z) == 0LL) { w1 |= z; zbior[1-p].emplace_back(w1, w2); w2 |= z; } else if (((w2&x)&w1) || (((~w2)&y)&w1)) { if (bool(w1&x) != bool(w1&y)) w1 ^= z; if (bool(w2&x) != bool(w2&y)) w2 ^= z; } zbior[1-p].emplace_back(w1, w2); } zbior[p].clear(); p = 1-p; } pref[0][0] = 0; pref[1][0] = 0; pref[2][0] = 0; for (auto w: zbior[p]) { w1 = w.first; w2 = w.second; FOR (i, 1, n) { x = 1LL << i; pref[0][i] = pref[0][i-1]; pref[1][i] = pref[1][i-1]; pref[2][i] = pref[2][i-1]; if ((w1&x) == 0LL) pref[2][i] += 1; else if ((w2&x) == 0LL) pref[0][i] += 1; else pref[1][i] += 1; } FOR (i, 1, n) { FOR (j, i, n) { if (pref[0][j]-pref[0][i-1] > 0) continue; if (pref[1][j]-pref[1][i-1] < pref[1][n]) continue; odp[j-i+1]++; } } } FOR (i, 1, n) cout << odp[i] % mod << ' '; cout << '\n'; } int main() { cin.tie(0)->sync_with_stdio(0); int tests = 1; // cin>>tests; FOR (i, 1, tests) { solution(); } return 0; } |
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