package contest180223; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.ArrayDeque; import java.util.Arrays; import java.util.InputMismatchException; import java.util.Queue; public class E { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(), K = ni(); long P = nl(); if(P == 0){ out.println((long)n*(n+1)*(n+2)/6); return; } int[][] d = new int[n][n]; for(int i = 0;i < n;i++){ Arrays.fill(d[i], 999999999); } Queue q = new ArrayDeque<>(); for(int i = 0;i < K;i++){ int r = ni()-1, c = ni()-1; d[r][c] = 0; q.add(r<<16|c); } int[] dr = { 1, 1, 0, 0, -1, -1 }; int[] dc = { 0, 1, 1, -1, -1, 0}; while(!q.isEmpty()){ int cur = q.poll(); int r = cur>>>16, c = cur&65535; for(int k = 0;k < 6;k++){ int nr = r + dr[k], nc = c + dc[k]; if(nr >= 0 && nr < n && nc >= 0 && nc <= nr && d[nr][nc] > d[r][c] + 1){ d[nr][nc] = d[r][c] + 1; q.add(nr<<16|nc); } } } int[][] rsum = new int[n+1][n+1]; for(int i = 0;i < n;i++){ for(int j = 0;j <= i;j++){ rsum[i+1][j+1] = rsum[i][j] + d[i][j]; } } int[][] lsum = new int[n+1][n+1]; for(int i = 0;i < n;i++){ for(int j = 0;j <= i;j++){ lsum[i+1][j+1] = lsum[i][j+1] + d[i][j]; } } int[][] vsum = new int[n+1][n+1]; for(int i = 0;i < n;i++){ for(int j = 0;j <= i;j++){ vsum[i+1][j+1] = vsum[i+1][j] + d[i][j]; } } // tr(d); // tr(rsum); // tr(lsum); // tr(vsum); ans = 0; dfs(0, 0, 0, rsum, lsum, vsum, n, 0L, P); out.println(ans); } long ans = 0; void dfs(int r, int c, int b, int[][] rsum, int[][] lsum, int[][] vsum, int n, long S, long P) { if(r == n)return; while(S < P && b < n){ S += vsum[b+1][c+b-r+1] - vsum[b+1][c]; b++; } if(S < P)return; ans += n-b+1; dfs(r+1, c, b, rsum, lsum, vsum, n, S - rsum[b-1+1][c+b-1-r+1] + rsum[r][c], P); if(r == c){ dfs(r+1, c+1, b, rsum, lsum, vsum, n, S - lsum[b-1+1][c+1] + lsum[r][c+1], P); } } void run() throws Exception { // int n = 4000, m = 1; // Random gen = new Random(); // StringBuilder sb = new StringBuilder(); // sb.append(n + " "); // sb.append(m + " "); // sb.append(0L + " "); // for (int i = 0; i < m; i++) { // int v1 = gen.nextInt(n); // int v2 = gen.nextInt(v1+1); // sb.append(v1 + 1 + " "); // sb.append(v2 + 1 + " "); // } // INPUT = sb.toString(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new E().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }