using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static long NN => long.Parse(ReadLine()); static long[] NList => ReadLine().Split().Select(long.Parse).ToArray(); static long[] NMi => ReadLine().Split().Select(c => long.Parse(c) - 1).ToArray(); static long[][] NMap(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NMi).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, m) = (c[0], c[1]); var map = NMap(m); var pset = new HashSet(); var mset = new HashSet(); var opset = new HashSet(); var omset = new HashSet(); var ecset = new HashSet(); var ocset = new HashSet(); ecset.Add(0); ocset.Add(0); foreach (var mi in map) { pset.Add(mi[0] + mi[1]); mset.Add(mi[0] - mi[1]); if ((mi[0] + mi[1]) % 2 == 0) { ecset.Add(mi[0] + mi[1]); ecset.Add(Math.Abs(mi[0] - mi[1])); ecset.Add(2 * n - 2 - Math.Abs(mi[0] - mi[1])); } else { ocset.Add(mi[0] + mi[1]); ocset.Add(Math.Abs(mi[0] - mi[1])); ocset.Add(2 * n - 2 - Math.Abs(mi[0] - mi[1])); } } var eclist = new List(ecset); eclist.Sort(); var edic = new Dictionary(); for (var i = 0; i < eclist.Count; ++i) edic[eclist[i]] = i; var oclist = new List(ocset); oclist.Sort(); var odic = new Dictionary(); for (var i = 0; i < oclist.Count; ++i) odic[oclist[i]] = i; var eft = new FenwickTree(eclist.Count); var oft = new FenwickTree(oclist.Count); var ans = 0L; foreach (var plus in pset) { if (plus % 2 == 0) { ans += Math.Min(plus + 1, 2 * n - 1 - plus); // WriteLine($"/: {Math.Min(plus + 1, 2 * n - 1 - plus)}"); eft.Add(edic[plus], 1); } else { ans += Math.Min(plus + 1, 2 * n - 1 - plus); // WriteLine($"/: {Math.Min(plus + 1, 2 * n - 1 - plus)}"); oft.Add(odic[plus], 1); } } foreach (var mi in mset) { var left = Math.Abs(mi); var right = 2 * n - 2 - Math.Abs(mi); if (mi % 2 == 0) { ans += (right - left) / 2 + 1 - eft.Sum(edic[right]) + eft.Sum(edic[left] - 1); // WriteLine($"({right} - {left}) / 2 + 1 - {eft.Sum(edic[right])} + {eft.Sum(edic[left] - 1)}"); } else { ans += (right - left) / 2 + 1 - oft.Sum(odic[right]) + oft.Sum(odic[left] - 1); // WriteLine($"({right} - {left}) / 2 + 1 - {oft.Sum(odic[right])} + {oft.Sum(odic[left] - 1)}"); } } WriteLine(ans); } class FenwickTree { int size; long[] tree; public FenwickTree(int size) { this.size = size; tree = new long[size + 2]; } public void Add(int index, int value) { ++index; for (var x = index; x <= size; x += (x & -x)) tree[x] += value; } /// 先頭からindexまでの和(include index) public long Sum(int index) { if (index < 0) return 0; ++index; var sum = 0L; for (var x = index; x > 0; x -= (x & -x)) sum += tree[x]; return sum; } /// Sum(x) >= value となる最小のxを求める // 各要素は非負であること public int LowerBound(long value) { if (value < 0) return -1; var x = 0; var b = 1; while (b * 2 <= size) b <<= 1; for (var k = b; k > 0; k >>= 1) { if (x + k <= size && tree[x + k] < value) { value -= tree[x + k]; x += k; } } return x; } } }