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| #include <cstdio>
#include <cmath>
const double pi = acos(-1);
int getint() {
int r = 0; char c = getchar();
for (; c < '0' || c > '9'; c = getchar());
for (; '0' <= c && c <= '9'; c = getchar()) r=r*10-'0'+c;
return r;
}
const int maxn = 100050;
const double inf = 1e10+7;
int n, r, h;
double v[maxn];
int root, son[maxn][2], fa[maxn], tot = 0;
double idx[maxn], dp[maxn], mx[maxn];
double max(double a, double b) { return a > b ? a : b; }
void init() {
root = 1;
tot = 2;
son[1][0] = 0;
son[1][1] = 2;
dp[1] = 0;
mx[1] = 0;
fa[1] = 0;
idx[1] = -inf;
son[2][0] = 0;
son[2][1] = 0;
dp[2] = 0;
mx[2] = 0;
fa[2] = 1;
idx[2] = inf;
idx[0] = dp[0] = mx[0] = 0;
}
void pushup(int x) { if (x) mx[x] = max(dp[x], max(mx[son[x][0]], mx[son[x][1]])); }
int ws(int x) { if (x == son[fa[x]][0]) return 0; return 1; }
void rotate(int x) {
int y = fa[x], a = ws(x), z = fa[y], b = ws(y);
son[z][b] = x; fa[x] = z;
son[y][a] = son[x][!a]; fa[son[x][!a]] = y;
son[x][!a] = y; fa[y] = x;
pushup(y);
pushup(x);
}
void splay(int x, int pos = 0) {
int y = fa[x], a = ws(x), z = fa[y], b = ws(y);
while (y != pos) {
if (z == pos) rotate(x);
else {
if (a == b) { rotate(y); rotate(x); }
else { rotate(x); rotate(x); }
}
y = fa[x], a = ws(x), z = fa[y], b = ws(y);
}
if (pos == 0) root = x;
}
double ans = 0;
void ins(double key) {
int now = root, lst;
double dpn = key;
while (now) {
lst = now;
if (idx[now] < key) {
dpn = max(dpn, dp[now] + key);
dpn = max(dpn, mx[son[now][0]] + key);
now = son[now][1];
} else {
now = son[now][0];
}
}
int np = ++tot;
idx[np] = key;
dp[np] = mx[np] = dpn;
ans = max(ans, dpn);
son[np][0] = son[np][1] = 0;
if (idx[lst] < key) now = 1;
else now = 0;
son[lst][now] = np;
fa[np] = lst;
splay(np);
}
int main () {
n = getint();
for (int i = 0; i < n; ++i) {
r = getint(); h = getint();
v[i] = pi * r * r * h;
}
init();
for (int i = 0; i < n; ++i) ins(v[i]);
printf("%.5lf", ans);
}
|