#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main() { ll N, M; cin >> N >> M; vector X(M); vector Y(M); for (ll i = 0; i < M; i++) { cin >> X[i] >> Y[i]; } // パリティの異なるもの同士が交わらない // とりあえず全部 X + Y 方面に置いておこう ll ans = 0; set odds; set evens; for (ll i = 0; i < M; i++) { if ((X[i] + Y[i]) % 2 == 1) { if (odds.find(X[i] + Y[i]) == odds.end()) { ans += min((X[i] + Y[i]) - 1, 2 * N + 1 - (X[i] + Y[i])); odds.insert(X[i] + Y[i]); } } else { if (evens.find(X[i] + Y[i]) == evens.end()) { ans += min((X[i] + Y[i]) - 1, 2 * N + 1 - (X[i] + Y[i])); evens.insert(X[i] + Y[i]); } } } vector odd_vec(0); vector even_vec(0); for (auto it = odds.begin(); it != odds.end(); it++) { odd_vec.push_back(*it); } for (auto it = evens.begin(); it != evens.end(); it++) { even_vec.push_back(*it); } set odds2; set evens2; for (ll i = 0; i < M; i++) { if ((X[i] + Y[i]) % 2 == 1) { if (odds2.find(X[i] - Y[i]) == odds2.end()) { ll diffs = abs(X[i] - Y[i]); ll lb = diffs + 2; ll ub = 2 * N - diffs; auto lit = lower_bound(all(odd_vec), lb); auto uit = lower_bound(all(odd_vec), ub + 1); ll lid = lit - odd_vec.begin(); ll uid = uit - odd_vec.begin(); ans += ((ub - lb) / 2 + 1 - (uid - lid)); odds2.insert(X[i] - Y[i]); } } else { if (evens2.find(X[i] - Y[i]) == evens2.end()) { if (X[i] == Y[i]) { ans += N - even_vec.size(); } else { ll diffs = abs(X[i] - Y[i]); ll lb = diffs + 2; ll ub = 2 * N - diffs; auto lit = lower_bound(all(even_vec), lb); auto uit = lower_bound(all(even_vec), ub + 1); ll lid = lit - even_vec.begin(); ll uid = uit - even_vec.begin(); ans += ((ub - lb) / 2 + 1 - (uid - lid)); } evens2.insert(X[i] - Y[i]); } } } cout << ans << endl; }