Submission #895915

# Submission time Handle Problem Language Result Execution time Memory
895915 2023-12-31T04:43:06 Z thunopro Split the sequence (APIO14_sequence) C++14
100 / 100
1227 ms 91600 KB
#include<bits/stdc++.h>
using namespace std ; 
#define ll long long 
#define ld double 
#define maxn 200009 
#define fi first 
#define se second 
#define pb push_back 
#define left id<<1 
#define right id<<1|1 
#define re exit(0); 
#define _lower(x) lower_bound(v.begin(),v.end(),x)-v.begin()+1  

const int mod = 1e9+7 ; 
const int INF = 1e9 ; 
const int LOG = 18 ; 

typedef vector<int> vi ; 
typedef pair<int,int> pii ; 
typedef vector<ll> vl ; 
typedef vector<pii> vii ; 
 
void add ( int &a , int b ) 
{
	a += b ;
	if ( a < 0 ) a += mod ; 
	if ( a >= mod ) a -= mod ; 
}

template < typename T > void chkmin ( T &a , T b ) { if ( a > b ) a = b ; } 
template < typename T > void chkmax ( T &a , T b ) { if ( a < b ) a = b ; } 

void rf () 
{
	freopen ("bai1.inp","r",stdin) ; 
//	freopen ("bai1.out","w",stdout) ; 
}

int _pow ( int a , int n ) 
{
	if ( n == 0 ) return 1 ; 
	int res = _pow (a,n/2) ; 
	if ( n % 2 ) return 1ll*res*res%mod*a%mod ; 
	else return 1ll*res*res%mod ; 
}

int n , k ; 
int a [maxn] , sum [maxn] ;

ll dp [maxn] ; 
int trace [maxn][209] ; 

struct line {
	int a ; ll b ; 
	int id ; 
	line ( int _a , ll _b , int _id ) {
		a = _a , b = _b , id = _id ; 
	}
	ll eval ( int x ) {
		return 1ll*x*a+b ; 
	}
};

struct CHT {
	vector <line> T ; 
	bool badline ( line A , line B , line C ) 
	{
		return (ld)(C.b-A.b)/(A.a-C.a) <= (ld)(B.b-A.b)/(A.a-B.a) ; 
	}
	void ins ( line m ) 
	{
		while (T.size()>=2) 
		{
			if ( badline(T[T.size()-2],T.back(),m)) T.pop_back() ; 
			else break ; 
		}
		T.pb(m) ; 
	}
	pair<ll,ll> get ( int x ) 
	{
		int l = 0 , r =T.size()-2 ; 
		while ( l <= r ) 
		{
			int mid = (l+r)/2 ; 
			if ( T[mid].eval(x) <= T[mid+1].eval(x) ) l = mid + 1 ; 
			else r = mid - 1 ; 
		}
		return {T[l].eval(x),T[l].id} ; 
	}
	void clear () 
	{
		T . clear () ; 
	}
};
int main () 
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);cout.tie(0) ; 
//	rf () ; 
	cin >> n >> k ; 
	for ( int i = 1 ; i <= n ; i ++ ) cin >> a [i] , sum [i] = sum [i-1] + a [i] ; 
	
	k ++ ; 
	memset ( dp , 0x3f , sizeof dp ) ; 
	
	CHT T ; 
	for ( int r = 1 ; r <= k ; r ++ ) 
	{
		T.clear() ; 
		T.ins({0,0,0}) ; 
		for ( int i = 1 ; i <= n ; i ++ ) 
		{
			int C = sum [n] - sum [i] ; 
			auto F = T.get (-C) ; 
			if ( dp[i] < 1e18 ) T.ins({sum[i],dp[i],i}) ; 
			dp [i] = F.fi + 1ll*C*sum[i] ; 
			trace [i][r] = F.se ; 
		}
	}
	
	cout << dp [n] << "\n" ; 
	
	vi res ; 
	int pos = n ;
	while ( k > 1 ) 
	{
		pos = trace [pos][k] ; 
		res . pb (pos) ; 
		k -- ; 
	}
	
	reverse(res.begin(),res.end()) ; 
	for ( auto x : res ) cout << x << " " ; 
	
}

// range , error , check speical , ... 
// find key , find key 
//'-std=c++11' stay hard 
// there is no tomorrow 

Compilation message

sequence.cpp: In function 'void rf()':
sequence.cpp:35:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   35 |  freopen ("bai1.inp","r",stdin) ;
      |  ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 4444 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 4444 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 4444 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 4560 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 4440 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 4444 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 4444 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 4440 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 4596 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 4444 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 4444 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 4444 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 4596 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 4444 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 4444 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 4564 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 4440 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4440 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 4444 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 4440 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4444 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 4444 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 4700 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 4696 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 4700 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 4748 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 4700 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 4700 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 4700 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 4744 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 4700 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 6748 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 6856 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 6612 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 6748 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 6984 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 6744 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 6748 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 6748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 6748 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 13144 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 13144 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 88 ms 13516 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 13588 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 64 ms 13148 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 82 ms 13144 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 79 ms 13340 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 68 ms 13500 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 68 ms 13336 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 86 ms 13340 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 32 ms 91180 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 33 ms 91344 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1038 ms 91172 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 31 ms 90320 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1227 ms 91164 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 967 ms 90056 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 918 ms 91344 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 812 ms 91344 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 785 ms 91600 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1004 ms 90316 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845