Problem:
Score : 200 points

Problem Statement

We have a board with H horizontal rows and W vertical columns of squares.
There is a bishop at the top-left square on this board.
How many squares can this bishop reach by zero or more movements?

Here the bishop can only move diagonally.
More formally, the bishop can move from the square at the r_1-th row (from the top) and the c_1-th column (from the left) to the square at the r_2-th row and the c_2-th column if and only if exactly one of the following holds:

r_1 + c_1 = r_2 + c_2

r_1 - c_1 = r_2 - c_2

For example, in the following figure, the bishop can move to any of the red squares in one move:

Constraints

1 \leq H, W \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

H \ W

Output

Print the number of squares the bishop can reach.

Sample Input 1

4 5

Sample Output 1

10

The bishop can reach the cyan squares in the following figure:

Sample Input 2

7 3

Sample Output 2

11

The bishop can reach the cyan squares in the following figure:

Sample Input 3

1000000000 1000000000

Sample Output 3

500000000000000000

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections;
using System.Collections.Generic;

namespace 練習問題
{
    class Program {
        static void Main(string[] args) {
            List<int> pattern = new List<int>();
            long a = 0;
            long b = 0;
            var sw = new System.Diagnostics.Stopwatch();
            TimeSpan TLE = new TimeSpan(0,0,2);
            debug Debug = new debug();
            if (args.Length == 0){
                Debug.FlagFalse();
                //*
                string[] input = Console.ReadLine().Split(' ');
                a = long.Parse(input[0]);
                b = long.Parse(input[1]);
                //*/
                // c = int.Parse(Console.ReadLine());

                // string d = Console.ReadLine();

                //string[] input = Console.ReadLine().Split(' ');
            } else {
                Debug.FlagTrue();
                if (args[0] == "1"){
                    a = 4;
                    b = 5;
                } else if (args[0] == "2"){
                    a = 7;
                    b = 3;
                } else if (args [0] == "3"){
                    a = 1000000000;
                    b = 1000000000;
                } else {
                    a = 3;
                    b = 2;
                }
            }
            sw.Start(); //2秒以内ですねスタート
            long result = 0;
            if (a == 1 && b == 1){
                result = 1;
            }
            if (a % 2 == 1) {
                if (b % 2 == 1) {
                    result += (a + 1) / 2 * (b + 1) / 2 + (a - 1) / 2 * (b - 1) / 2;
                } else {
                    result += (a + 1) / 2 * b / 2 + (a - 1) / 2 * b / 2;
                }
            } else {
                result += a / 2 * b;
            }
            Console.WriteLine(result);
            sw.Stop();
            TimeSpan ts = sw.Elapsed;
            // Console.WriteLine($"{ts}");
        }
        
        static int intPow(int target,int kaisu){
            int startTarget = target;
            for (int i = 1; i < kaisu; i++)
            {
                target *= startTarget;
            }
            return target;
        }

        static void bubble_sort(List<List<int>> a) {
            int count=0;
            for (int i = 0; i < a.Count; i++) {
                for (int j = 0; j < a.Count-i-1; j++) {
                    // if (a[j] == a[a.Count - 1]){
                    //     continue;
                    // }
                    count++;
                    if (a[j][1] > a[j+1][1]){
                        int localsave = 0;
                        localsave = a[j+1][1];
                        a[j+1][1] = a[j][1];
                        a[j][1] = localsave;
                        localsave = a[j][0];
                        a[j][0] = a[j+1][0];
                        a[j+1][0] = localsave;
                    }
                }
                //debug(a,"途中" + i);
            }
            // debug(a,"result");
            //Console.WriteLine("回数"+count);
            for (int i = 0; i < a.Count; i++)
            {
                Console.WriteLine(a[i][0]+" "+a[i][1]);
            }
        }
        /* 標準入力と標準出力が使えるかのチェック
        static void echo() {
            string echotest = Console.ReadLine();
            Console.WriteLine(echotest);
        }

        static void HelloWorld(){
            Console.WriteLine("Hello World!");
        }
        */
    }

    public class debug{ //宣言時は、「 debug Debug = new debug(); 」推奨
        bool debug_flag = true;
        public void Log(string str){
            if (debug_flag == true){
                Console.WriteLine(str);
            }
        }
        public void Log(int str){
            if (debug_flag == true){
                Console.WriteLine(str);
            }
        }
        public void Log(float str){
            if (debug_flag == true){
                Console.WriteLine(str);
            }
        }
        public void Log(object obj){
            if (debug_flag == true){
                Console.WriteLine(obj);
            }
        }

        public void Log(int[] arr){
            if (debug_flag == true){
                Console.WriteLine(string.Join(",", arr));
            }
        }
        public void Log(string[] arr){
            if (debug_flag == true){
                Console.WriteLine(string.Join(",", arr));
            }
        }
        public void Log(List<int> arr){
            if (debug_flag == true){
                string shuturyoku = "";
                for (int i = 0; i < arr.Count; i++) {
                    shuturyoku += arr[i] + ",";
                }
                Console.WriteLine(shuturyoku.TrimEnd(','));
            }
        }

        public void Log(List<string> arr){
            if (debug_flag == true){
                string shuturyoku = "";
                for (int i = 0; i < arr.Count; i++) {
                    shuturyoku += arr[i] + ",";
                }
                Console.WriteLine(shuturyoku.TrimEnd(','));
            }
        }

        public void Log(List<float> arr){
            if (debug_flag == true){
                string shuturyoku = "";
                for (int i = 0; i < arr.Count; i++) {
                    shuturyoku += arr[i] + ",";
                }
                Console.WriteLine(shuturyoku.TrimEnd(','));
            }
        }
        public void Log(){
            if (debug_flag == true){
                Console.WriteLine("アタイイレナサイ");
            }
        }
        public void FlagFalse(){
            debug_flag = false;
        }
        public void FlagTrue(){
            debug_flag = true;
        }
    }
}