This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <bits/stdc++.h>
#include <cmath>
#include <algorithm>
#include <vector>
#include <deque>
#include <set>
#include <stack>
#include <string>
#include <map>
#include <queue>
#define double long double
using namespace std;
const long long oo = 1000000000000000000;
long long int sum, ans = 0, mx = 0, mn = 1000000000, num, pos;
/*
ViHHiPuh
(( `'-""``""-'` ))
)-__-_.._-__-(
/ --- (o _ o) --- \
\ .-* ( .0. ) *-. /
_'-. ,_ '=' _, .-'_
/ `;#'#'# - #'#'#;` \
\_)) -----'#'----- ((_/
# --------- #
'# ------- ------ #'
/..-'# ------- #'-.\
_\...-\'# -- #'/-.../_
((____)- '#' -(____))
cout << fixed << setprecision(6) << x;
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
freopen ( "sum.in", "r", stdin )
*/
int n;
vector <double> v, vv;
double a[ 100001 ], b[ 100001 ];
double f( int mask, double sum, double ans, double col ) {
double mxx = min( sum - col, ans - col );
for ( int i = 0; i < n; i ++ ) {
if ( !( mask & ( 1 << i ) ) ) {
mask |= ( 1 << i );
col ++;
sum += a[ i ];
mxx = max( mxx, f( mask, sum, ans, col ) );
sum -= a[ i ];
ans += b[ i ];
mxx = max( mxx, f( mask, sum, ans, col ) );
col --;
ans -= b[ i ];
col += 2;
ans += b[ i ];
sum += a[ i ];
mxx = max( mxx, f( mask, sum, ans, col ) );
col -= 2;
ans -= b[ i ];
sum -= a[ i ];
mask ^= ( 1 << i );
}
}
return mxx;
}
int main () {
cin >> n;
for ( int i = 1; i <= n; i ++ ) {
cin >> a[ i ] >> b[ i ];
v.push_back( a[ i ] );
vv.push_back( b[ i ] );
}
sort( v.begin(), v.end() );
sort( vv.begin(), vv.end() );
double sum, num, ans;
ans = sum = num = 0;
double mx = 0;
while ( true ) {
if ( !v.size() && !vv.size() )
break;
mx = max( mx, min( sum, num ) );
if ( v.size() && sum < num ) {
sum += v.back();
sum --;
num --;
ans ++;
v.pop_back();
}
else {
if ( vv.size() ) {
num += vv.back();
vv.pop_back();
num --;
sum --;
ans ++;
}
else {
sum += v.back();
v.pop_back();
num --;
sum --;
ans ++;
}
}
}
cout << fixed << setprecision( 4 ) << mx;
}
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