OJ-Problems-Source/HDOJ/4319_autoAC.cpp
2016-09-04 15:55:06 +08:00

184 lines
4.5 KiB
C++

#include <cstdio>
#include <cstring>
#include <cmath>
const int MAXN = 100010;
struct Point
{
__int64 x, y;
}point[MAXN], high[2][MAXN], low[2][MAXN], merge[MAXN * 2];
int pointNumber, highNumber[2], lowNumber[2], mergeNumber;
int n, stack[MAXN], top;
__int64 a[MAXN];
Point operator + (const Point &a, const Point &b)
{
Point r;
r.x = a.x + b.x;
r.y = a.y + b.y;
return r;
}
Point operator - (const Point &a, const Point &b)
{
Point r;
r.x = a.x - b.x;
r.y = a.y - b.y;
return r;
}
inline __int64 operator * (const Point &a, const Point &b)
{
return a.x * b.y - a.y * b.x;
}
inline __int64 absolute(int x)
{
return x >= 0 ? x : -x;
}
inline double max(const double &x, const double &y)
{
return x > y ? x : y;
}
inline __int64 cross(const Point &a, const Point &b, const Point &o)
{
return (a - o) * (b - o);
}
void getBound(Point result[], int &resultNumber, bool isHigh)
{
if(pointNumber == 1)
{
result[0] = point[0];
resultNumber = 1;
return;
}
stack[0] = 0;
stack[1] = 1;
top = 2;
if(isHigh)
{
for(int i=2;i<pointNumber;++i)
{
while(top >= 2 && cross(point[stack[top-2]], point[i], point[stack[top-1]]) < 0)
{
-- top;
}
stack[top++] = i;
}
}
else
{
for(int i=2;i<pointNumber;++i)
{
while(top >= 2 && cross(point[stack[top-2]], point[i], point[stack[top-1]]) > 0)
{
-- top;
}
stack[top++] = i;
}
}
resultNumber = top;
for(int i=0;i<top;++i)
{
result[i].x = point[stack[i]].x;
result[i].y = point[stack[i]].y;
}
}
void mergeBound(Point p1[], int len1, Point p2[], int len2, bool isHigh)
{
merge[mergeNumber++] = p1[0] + p2[0];
int pNum1 = 1, pNum2 = 1;
while(pNum1 < len1 || pNum2 < len2)
{
if(pNum1 == len1)
{
merge[mergeNumber++] = p1[pNum1 - 1] + p2[pNum2 ++];
}
else if(pNum2 == len2)
{
merge[mergeNumber++] = p1[pNum1 ++] + p2[pNum2 - 1];
}
else
{
Point temp0 = p1[pNum1 - 1] + p2[pNum2 - 1];
Point temp1 = p1[pNum1] + p2[pNum2 - 1];
Point temp2 = p1[pNum1 - 1] + p2[pNum2];
if(isHigh)
{
if(cross(temp1, temp2, temp0) < 0)
{
merge[mergeNumber++] = temp1;
++ pNum1;
}
else
{
merge[mergeNumber++] = temp2;
++ pNum2;
}
}
else
{
if(cross(temp1, temp2, temp0) > 0)
{
merge[mergeNumber++] = temp1;
++ pNum1;
}
else
{
merge[mergeNumber++] = temp2;
++ pNum2;
}
}
}
}
}
double solve(int l, int r)
{
if(l == r)
{
return absolute(a[l]);
}
int mid = (l + r) >> 1;
double ansL = solve(l, mid);
double ansR = solve(mid + 1, r);
double ans = max(ansL, ansR);
__int64 sum = 0;
pointNumber = 0;
for(int i=mid;i>=l;--i)
{
sum += a[i];
point[pointNumber].x = mid - i + 1;
point[pointNumber].y = sum;
++ pointNumber;
}
getBound(high[0], highNumber[0], true);
getBound(low[0], lowNumber[0], false);
sum = 0;
pointNumber = 0;
for(int i=mid+1;i<=r;++i)
{
sum += a[i];
point[pointNumber].x = i - mid;
point[pointNumber].y = sum;
++ pointNumber;
}
getBound(high[1], highNumber[1], true);
getBound(low[1], lowNumber[1], false);
mergeNumber = 0;
mergeBound(high[0], highNumber[0], high[1], highNumber[1], true);
mergeBound(low[0], lowNumber[0], low[1], lowNumber[1], false);
for(int i=0;i<mergeNumber;++i)
{
ans = max(ans, fabs((double)merge[i].y) / sqrt((double)merge[i].x));
}
return ans;
}
int main()
{
while(~scanf("%d", &n))
{
for(int i=0;i<n;++i)
{
scanf("%I64d", &a[i]);
}
double ans = solve(0, n - 1);
printf("%.6lf\n", ans * ans);
}
return 0;
}