#include<bits/stdc++.h>
using namespace std;
using LL=long long;
#define FOR(i,l,r)for(int i=(l);i<=(r);++i)
#define REP(i,n)FOR(i,0,(n)-1)
#define ssize(x)int(x.size())
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
int n, m;
vector<pair<int, int>> edges;
vector<LL> ans(n + 1), state(n, -1);
void rek(int p) {
debug(p, state);
if (p == m) {
debug(state);
int mn = n;
int mx = 0;
REP (i, n)
if (state[i] == 1) {
mn = min(mn, i);
mx = max(mx, i);
}
if (mn == n) {
auto dolicz = [&](int w) {
FOR (i, 1, w)
ans[i] += w - i + 1;
};
int len = 0;
REP (i, n) {
if (state[i] == 0) {
dolicz(len);
len = 0;
}
else {
assert(state[i] == -1);
++len;
}
}
dolicz(len);
return;
}
int k = mx - mn + 1;
FOR (i, mn, mx)
if (state[i] == 0)
return;
int lf = 0;
while (mn && state[mn - 1] == -1) {
--mn;
++lf;
}
int rg = 0;
while (mx + 1 < n && state[mx + 1] == -1) {
++mx;
++rg;
}
REP (i, lf + 1)
REP (j, rg + 1)
++ans[k + i + j];
return;
}
auto [l, r] = edges[p];
if (state[l] == -1) {
if (state[r] == -1) {
state[l] = state[r] = 0;
rek(p + 1);
state[l] = state[r] = 1;
rek(p + 1);
state[l] = state[r] = -1;
}
else if (state[r] == 0) {
swap(state[l], state[r]);
rek(p + 1);
swap(state[l], state[r]);
}
else {
rek(p + 1);
}
}
else if (state[r] == -1) {
if (state[l] == 0) {
rek(p + 1);
}
else {
swap(state[l], state[r]);
rek(p + 1);
swap(state[l], state[r]);
}
}
else {
if (state[l] && !state[r]) {
swap(state[l], state[r]);
rek(p + 1);
swap(state[l], state[r]);
}
else
rek(p + 1);
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> m;
edges.resize(m);
for (auto &[l, r] : edges) {
cin >> l >> r;
--l;
--r;
}
ans.resize(n + 1);
state.resize(n + 1, -1);
rek(0);
FOR (i, 1, n) {
if (i > 1)
cout << ' ';
cout << ans[i] % 2;
}
cout << endl;
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 | #include<bits/stdc++.h> using namespace std; using LL=long long; #define FOR(i,l,r)for(int i=(l);i<=(r);++i) #define REP(i,n)FOR(i,0,(n)-1) #define ssize(x)int(x.size()) #ifdef DEBUG auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";} auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";} #define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X) #else #define debug(...){} #endif int n, m; vector<pair<int, int>> edges; vector<LL> ans(n + 1), state(n, -1); void rek(int p) { debug(p, state); if (p == m) { debug(state); int mn = n; int mx = 0; REP (i, n) if (state[i] == 1) { mn = min(mn, i); mx = max(mx, i); } if (mn == n) { auto dolicz = [&](int w) { FOR (i, 1, w) ans[i] += w - i + 1; }; int len = 0; REP (i, n) { if (state[i] == 0) { dolicz(len); len = 0; } else { assert(state[i] == -1); ++len; } } dolicz(len); return; } int k = mx - mn + 1; FOR (i, mn, mx) if (state[i] == 0) return; int lf = 0; while (mn && state[mn - 1] == -1) { --mn; ++lf; } int rg = 0; while (mx + 1 < n && state[mx + 1] == -1) { ++mx; ++rg; } REP (i, lf + 1) REP (j, rg + 1) ++ans[k + i + j]; return; } auto [l, r] = edges[p]; if (state[l] == -1) { if (state[r] == -1) { state[l] = state[r] = 0; rek(p + 1); state[l] = state[r] = 1; rek(p + 1); state[l] = state[r] = -1; } else if (state[r] == 0) { swap(state[l], state[r]); rek(p + 1); swap(state[l], state[r]); } else { rek(p + 1); } } else if (state[r] == -1) { if (state[l] == 0) { rek(p + 1); } else { swap(state[l], state[r]); rek(p + 1); swap(state[l], state[r]); } } else { if (state[l] && !state[r]) { swap(state[l], state[r]); rek(p + 1); swap(state[l], state[r]); } else rek(p + 1); } } int main() { cin.tie(0)->sync_with_stdio(0); cin >> n >> m; edges.resize(m); for (auto &[l, r] : edges) { cin >> l >> r; --l; --r; } ans.resize(n + 1); state.resize(n + 1, -1); rek(0); FOR (i, 1, n) { if (i > 1) cout << ' '; cout << ans[i] % 2; } cout << endl; } |
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