There is a rectangle in the xy-plane, with its lower left corner at (0,0) and its upper right corner at (W,H). Each of its sides is parallel to the x-axis or y-axis. Initially, the whole region within the rectangle is painted white.
Snuke plotted N points into the rectangle. The coordinate of the i-th (1≤i≤N) point was (xi,yi).
Then, he created an integer sequence a of length N, and for each 1≤i≤N, he painted some region within the rectangle black, as follows:
If ai=1, he painted the region satisfying x<xi within the rectangle.
If ai=2, he painted the region satisfying x>xi within the rectangle.
If ai=3, he painted the region satisfying y<yi within the rectangle.
If ai=4, he painted the region satisfying y>yi within the rectangle.
Find the area of the white region within the rectangle after he finished painting.
Constraints
1≤W,H≤100
1≤N≤100
0≤xi≤W (1≤i≤N)
0≤yi≤H (1≤i≤N)
W, H (21:32, added), xi and yi are integers.
ai (1≤i≤N) is 1,2,3 or 4.
Print the area of the white region within the rectangle after Snuke finished painting.
The figure below shows the rectangle before Snuke starts painting.
First, as (x1,y1)=(2,1) and a1=1, he paints the region satisfying x<2 within the rectangle:
Then, as (x2,y2)=(3,3) and a2=4, he paints the region satisfying y>3 within the rectangle:
Now, the area of the white region within the rectangle is 9.
#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
using namespace std;
int main()
{
int w,h,n;
int x,y,t;
cin>>w>>h>>n;
int a[105][105]={0};
for(int i=0;i<n;i++)
{
cin>>x>>y>>t;
if(t==1)
{
for(int j=1;j<=x;j++)
{
for(int k=1;k<=h;k++)
{
a[j][k] = 1;
}
}
}
else if(t==2)
{
for(int j=x+1;j<=w;j++)
{
for(int k=1;k<=h;k++)
{
a[j][k] = 1;
}
}
}
else if(t==3)
{
for(int j=1;j<=w;j++)
{
for(int k=1;k<=y;k++)
{
a[j][k] = 1;
}
}
}
else
{
for(int j=1;j<=w;j++)
{
for(int k=y+1;k<=h;k++)
{
a[j][k] = 1;
}
}
}
}
int ans = 0;
for(int i=1;i<=w;i++)
{
for(int j=1;j<=h;j++)
{
if(a[i][j]==0)
{
ans++;
}
}
}
cout<<ans;
}
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