oj.uz

Submission #113867

# Submission time Handle Problem Language Result Execution time Memory
113867 2019-05-29T00:39:51 Z baluteshih Shortcut (IOI16_shortcut) C++14
0 / 100
 2 ms 384 KB 
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define pb push_back
#define jizz ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
#define F first
#define S second
#define ET cout << "\n"
#define MP make_pair
#define MEM(i,j) memset(i,j,sizeof i)
#define ALL(v) v.begin(),v.end()
#define DB(a,s,e) {for(int i=s;i<e;++i) cout << a[i] << " ";ET;}
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

const ll INF=1e18;

/*
j<i
si-sj+di+dj>k
si+di-k>sj-dj

x-y<0
|sj-x|+|si-y|+di+dj+c<=k 
x+y>=(sj+dj)+(si+di)-k+c ->b0
x-y>=(sj+dj)-(si-di)-k+c ->b1
x-y<=(sj-dj)-(si+di)+k-c ->b2
x+y<=(sj-dj)+(si-di)+k-c ->b3

y>=b0-x
y>=x-b2
y<=x-b1
y<=b3-x
y<=sn

*/

ll bit[2][1000005];
vector<ll> vec;

void modify(ll x,ll v,ll t)
{
	if(t==0)
		for(;x<=vec.size();x+=x&-x) bit[0][x]=max(bit[0][x],v);
	else
		for(;x<=vec.size();x+=x&-x) bit[1][x]=min(bit[1][x],v);
}

ll query(ll x,ll t)
{
	ll re;
	if(t==0)
		for(re=-INF;x;x-=x&-x) re=max(re,bit[0][x]);
	else
		for(re=INF;x;x-=x&-x) re=min(re,bit[1][x]);
	return re;
}

ll find_shortcut(int n,vector<int> l,vector<int> d, int c)
{
	ll mx=-INF,L=1,R=0;
	vector<ll> s(n,0),dp(n,0),idx(n,0);
	for(int i=1;i<n;++i)
		s[i]=s[i-1]+l[i-1];
	for(int i=0;i<n;++i)
		dp[i]=max((ll)d[i],s[i]+mx),mx=max(mx,dp[i]-s[i]);
	for(int i=1;i<n;++i)
		R=max(R,dp[i-1]+d[i]+s[i]-s[i-1]);
	for(int i=0;i<n;++i)
		vec.pb(s[i]-d[i]);
	sort(ALL(vec)),vec.resize(unique(ALL(vec))-vec.begin());
	for(int i=0;i<n;++i)
		idx[i]=upper_bound(ALL(vec),s[i]-d[i])-vec.begin();
	while(L<R)
	{
		ll mid=L+R>>1,b0=-INF,b1=-INF,b2=-1,b3=INF,flag=0;
		for(int i=1;i<=vec.size();++i)
			bit[0][i]=-INF,bit[1][i]=INF;
		for(int i=1;i<n;++i)
		{
			modify(idx[i-1],s[i-1]+d[i-1],0),modify(idx[i-1],s[i-1]-d[i-1],1);
			ll p=lower_bound(ALL(vec),s[i]+d[i]-mid)-vec.begin(),mx=query(p,0),mi=query(p,1);
			b0=max(b0,s[i]+d[i]+mx-mid+c),b1=max(b1,mx-s[i]+d[i]-mid+c);
			b2=min(b2,mi-s[i]-d[i]+mid-c),b3=min(b3,mi+s[i]-d[i]+mid-c);
		}
		for(int i=0,j=n,k=-1;i+1<n&&!flag;++i)
		{
			ll up=min({s[n-1],s[i]-b1,b3-s[i]}),dn=max(b0-s[i],s[i]-b2);
			while(j>0&&s[j-1]>=b0-s[i]) --j;
			while(k+1<n&&s[k+1]>=s[i]-b2) ++k;
			if(max(j,k)!=s.size()&&s[max(j,k)]<=up) flag=1;
		}
		if(flag) R=mid;
		else L=mid+1;
	}
	return L;
}

Compilation message

shortcut.cpp: In function 'void modify(ll, ll, ll)':
shortcut.cpp:45:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(;x<=vec.size();x+=x&-x) bit[0][x]=max(bit[0][x],v);
        ~^~~~~~~~~~~~
shortcut.cpp:47:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(;x<=vec.size();x+=x&-x) bit[1][x]=min(bit[1][x],v);
        ~^~~~~~~~~~~~
shortcut.cpp: In function 'll find_shortcut(int, std::vector<int>, std::vector<int>, int)':
shortcut.cpp:77:11: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   ll mid=L+R>>1,b0=-INF,b1=-INF,b2=-1,b3=INF,flag=0;
          ~^~
shortcut.cpp:78:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i=1;i<=vec.size();++i)
               ~^~~~~~~~~~~~
shortcut.cpp:92:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if(max(j,k)!=s.size()&&s[max(j,k)]<=up) flag=1;
       ~~~~~~~~^~~~~~~~~~
shortcut.cpp:89:40: warning: unused variable 'dn' [-Wunused-variable]
    ll up=min({s[n-1],s[i]-b1,b3-s[i]}),dn=max(b0-s[i],s[i]-b2);
                                        ^~

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -

Subtask #2
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -

Subtask #4
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -

Subtask #7
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -

Subtask #8
0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB n = 4, 80 is a correct answer
2 Correct 2 ms 384 KB n = 9, 110 is a correct answer
3 Correct 2 ms 256 KB n = 4, 21 is a correct answer
4 Correct 2 ms 384 KB n = 3, 4 is a correct answer
5 Correct 2 ms 384 KB n = 2, 62 is a correct answer
6 Correct 2 ms 384 KB n = 2, 3 is a correct answer
7 Correct 2 ms 256 KB n = 3, 29 is a correct answer
8 Correct 2 ms 384 KB n = 2, 3 is a correct answer
9 Correct 2 ms 256 KB n = 2, 3 is a correct answer
10 Correct 2 ms 384 KB n = 2, 2000000001 is a correct answer
11 Correct 2 ms 256 KB n = 2, 3000000000 is a correct answer
12 Correct 2 ms 256 KB n = 3, 3000000000 is a correct answer
13 Correct 2 ms 384 KB n = 3, 3000000000 is a correct answer
14 Correct 2 ms 256 KB n = 4, 3000000001 is a correct answer
15 Correct 2 ms 384 KB n = 4, 4000000000 is a correct answer
16 Correct 2 ms 384 KB n = 5, 4000000000 is a correct answer
17 Incorrect 2 ms 384 KB n = 10, incorrect answer: jury 1000000343 vs contestant 1000000318
18 Halted 0 ms 0 KB -