package contest190726; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class E { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int H = ni(), W = ni(), n = ni(); int[][] co = new int[n][]; for(int i = 0;i < n;i++) { co[i] = new int[] {ni(), ni(), ni()}; } // (0,H+1) 2 (W+1,H+1) // 1 3 // (0,0) 0 (W+1,0) int[][] xs = new int[4][]; { int[] lxs = new int[n]; int p = 0; for(int i = 0;i < n;i++) { if(co[i][1] == 0) { lxs[p++] = co[i][0]; } } lxs = Arrays.copyOf(lxs, p); Arrays.sort(lxs); xs[0] = uniq(lxs); } { int[] lxs = new int[n]; int p = 0; for(int i = 0;i < n;i++) { if(co[i][1] == H+1) { lxs[p++] = W+1-co[i][0]; } } lxs = Arrays.copyOf(lxs, p); Arrays.sort(lxs); xs[2] = uniq(lxs); } { int[] lxs = new int[n]; int p = 0; for(int i = 0;i < n;i++) { if(co[i][0] == 0) { lxs[p++] = H+1-co[i][1]; } } lxs = Arrays.copyOf(lxs, p); Arrays.sort(lxs); xs[1] = uniq(lxs); } { int[] lxs = new int[n]; int p = 0; for(int i = 0;i < n;i++) { if(co[i][0] == W+1) { lxs[p++] = co[i][1]; } } lxs = Arrays.copyOf(lxs, p); Arrays.sort(lxs); xs[3] = uniq(lxs); } SegmentTreeRMQ[] st = new SegmentTreeRMQ[4]; for(int i = 0;i < 4;i++) { st[i] = new SegmentTreeRMQ(n+1); } long ans = 0; for(int[] c : co) { int type = 0; int x = 0; if(c[1] == 0) { type = 0; x = c[0]; }else if(c[0] == 0) { type = 1; x = H+1-c[1]; }else if(c[1] == H+1) { type = 2; x = W+1-c[0]; }else { type = 3; x = c[1]; } int indx = Arrays.binarySearch(xs[type], x); int or = -st[type].minx(indx, indx+1); int y = or + c[2]; int U = type % 2 == 0 ? W+1 : H+1; int V = type % 2 == 1 ? W+1 : H+1; int dir = -1; int minlen = V; { // 左と衝突 int last = st[type+1&3].lastle(n-1, -x); if(last != -1) { int len = V-xs[type+1&3][last]; if(len < minlen) { minlen = len; dir = 1; } } } { // 正面衝突 int ind = Arrays.binarySearch(xs[type+2&3], U-x); if(ind >= 0) { int len = V-(-st[type+2&3].minx(ind, ind+1)); if(len < minlen) { minlen = len; dir = 2; } } } { // 右と衝突 int first = st[type+3&3].firstle(0, -(U-x)); if(first != -1) { int len = xs[type+3&3][first]; if(len < minlen) { minlen = len; dir = 3; } } } // tr(minlen, y, dir); if(minlen <= y) { // 衝突 st[type].update(indx, 0); ans -= or; if(dir == -1) { }else if(dir == 2) { int ind = Arrays.binarySearch(xs[type+2&3], U-x); ans -= -st[type+2&3].minx(ind, ind+1); st[type+2&3].update(ind, 0); }else if(dir == 1) { int last = st[type+1&3].lastle(n-1, -x); ans -= -st[type+1&3].minx(last, last+1); st[type+1&3].update(last, 0); }else if(dir == 3) { int first = st[type+3&3].firstle(0, -(U-x)); ans -= -st[type+3&3].minx(first, first+1); st[type+3&3].update(first, 0); } }else { st[type].update(Arrays.binarySearch(xs[type], x), -y); ans += c[2]; } } out.println(ans); } public static class SegmentTreeRMQ { public int M, H, N; public int[] st; public SegmentTreeRMQ(int n) { N = n; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; st = new int[M]; // Arrays.fill(st, 0, M, Integer.MAX_VALUE); } public SegmentTreeRMQ(int[] a) { N = a.length; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; st = new int[M]; for(int i = 0;i < N;i++){ st[H+i] = a[i]; } Arrays.fill(st, H+N, M, Integer.MAX_VALUE); for(int i = H-1;i >= 1;i--)propagate(i); } public void update(int pos, int x) { st[H+pos] = x; for(int i = (H+pos)>>>1;i >= 1;i >>>= 1)propagate(i); } private void propagate(int i) { st[i] = Math.min(st[2*i], st[2*i+1]); } public int minx(int l, int r){ int min = Integer.MAX_VALUE; if(l >= r)return min; while(l != 0){ int f = l&-l; if(l+f > r)break; int v = st[(H+l)/f]; if(v < min)min = v; l += f; } while(l < r){ int f = r&-r; int v = st[(H+r)/f-1]; if(v < min)min = v; r -= f; } return min; } public int min(int l, int r){ return l >= r ? 0 : min(l, r, 0, H, 1);} private int min(int l, int r, int cl, int cr, int cur) { if(l <= cl && cr <= r){ return st[cur]; }else{ int mid = cl+cr>>>1; int ret = Integer.MAX_VALUE; if(cl < r && l < mid){ ret = Math.min(ret, min(l, r, cl, mid, 2*cur)); } if(mid < r && l < cr){ ret = Math.min(ret, min(l, r, mid, cr, 2*cur+1)); } return ret; } } public int firstle(int l, int v) { int cur = H+l; while(true){ if(st[cur] <= v){ if(cur < H){ cur = 2*cur; }else{ return cur-H; } }else{ cur++; if((cur&cur-1) == 0)return -1; if((cur&1)==0)cur>>>=1; } } } public int lastle(int l, int v) { int cur = H+l; while(true){ if(st[cur] <= v){ if(cur < H){ cur = 2*cur+1; }else{ return cur-H; } }else{ if((cur&cur-1) == 0)return -1; cur--; if((cur&1)==1)cur>>>=1; } } } } public static int[] uniq(int[] a) { int n = a.length; int p = 0; for(int i = 0;i < n;i++) { if(i == 0 || a[i] != a[i-1])a[p++] = a[i]; } return Arrays.copyOf(a, p); } void run() throws Exception { 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)); } }