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D_Rudolph_and_Christmas_Tree.cpp
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D_Rudolph_and_Christmas_Tree.cpp
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#include <map>
#include <set>
#include <stack>
#include <vector>
#include <math.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <unordered_set>
#include <unordered_map>
#include <bits/stdc++.h>
#define ll long long
#define loop(o, n) for (int i = 0; i < n; i++)
#define py cout << "YES" << endl
#define pn cout << "NO" << endl
using namespace std;
// #define m 1e9+7
void func(int numBuildings, int baseLength, int height, double totalArea, int pos[])
{
for (int i = 0; i < numBuildings; i++)
{
cin >> pos[i];
if (i && pos[i] < pos[i - 1] + height)
{
double overlapHeight = pos[i - 1] + height - pos[i];
double overlapBase = overlapHeight * baseLength / height;
totalArea -= overlapBase * overlapHeight / 2;
}
}
cout << fixed << setprecision(7) << totalArea << endl;
}
int main()
{
int t;
cin >> t;
while (t--)
{
int numBuildings, baseLength, height;
cin >> numBuildings >> baseLength >> height;
double totalArea = static_cast<double>(height) * baseLength / 2 * numBuildings;
int buildingPositions[numBuildings];
func(numBuildings, baseLength, height, totalArea, buildingPositions);
}
return 0;
}