Submission #49465

# Submission time Handle Problem Language Result Execution time Memory
49465 2018-05-29T06:55:07 Z hamzqq9 Split the sequence (APIO14_sequence) C++14
100 / 100
798 ms 83692 KB
#include<bits/stdc++.h>
#define lf double
#define ll long long
#define cc pair<char,char>
#define ull unsigned ll
#define ii pair<int,int>
#define li pair<ll,int>
#define iii pair<int,ii>
#define iiii pair<ii,ii>
#define iiii2 pair<int,iii>
#define lii pair<ll,ii>
#define lolo pair<ll,ll>
#define heap priority_queue
#define mp make_pair
#define st first
#define nd second
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ppf pop_front
#define all(x) x.begin(),x.end()
#define len(x) strlen(x)
#define sz(x) (int) x.size()
#define orta ((bas+son)/2)
#define min3(x,y,z) min(min(x,y),z)
#define max3(x,y,z) max(max(x,y),z)
#define umin(x,y) x=min(x,y)
#define umax(x,y) x=max(x,y)
#define dbgs(x) cerr<<(#x)<<" --> "<<(x)<<" "
#define dbg(x) cerr<<(#x)<<" --> "<<(x)<<endl;getchar()
#define MOD 1000000000
#define inf 1000000000000000000ll
#define N 100005
#define LOG 20
#define magic 100
#define KOK 250
#define EPS 0.0025
#define pw(x) (1<<(x))
#define PI 3.1415926535
#define loloi pair<lolo,int>
using namespace std;

int n,k,x,ptr;
ll dp[2][N],pre[N];
int tut[201][100001];
vector<loloi> v;

ll res(lolo line,ll x) {

	return line.st*x+line.nd;

}

ll get(ll val) {

	while(ptr+1<sz(v) && res(v[ptr].st,val)<res(v[ptr+1].st,val)) ptr++;

	return res(v[ptr].st,val);

}

lf inter(lolo line1,lolo line2) {

	return 1.0*(line2.nd-line1.nd)/(line1.st-line2.st);

}

void up(ll a,ll b,int ind) {

	while(sz(v)>1 && inter({a,b},v[sz(v)-1].st)<=inter({a,b},v[sz(v)-2].st)) {

		v.ppb();

	}

	v.pb({{a,b},ind});

	ptr=min(ptr,sz(v)-1);

}

void clear() {

	ptr=0;

	v.clear();

}

int main() {
 
 	#if 0
	freopen("input.txt","r",stdin);
 	#endif

	scanf("%d %d",&n,&k);

	for(int i=1;i<=n;i++) {

		scanf("%d",&x);

		pre[i]=pre[i-1]+x;

	}

	for(int i=1;i<=k;i++) {

		clear();

		up(pre[i],-pre[i]*pre[i]+dp[0][i],i);

		for(int j=i+1;j<=n;j++) {

			dp[1][j]=get(pre[j]);

			tut[i][j]=v[ptr].nd;

			up(pre[j],-pre[j]*pre[j]+dp[0][j],j);

			dp[0][j]=dp[1][j];

		}

	}

	printf("%lld\n",dp[0][n]);

	for(int i=tut[k][n];i>=1;i=tut[k][i]) {

		k--;

		printf("%d ",i);

	}

	assert(k==0);

}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:96:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d",&n,&k);
  ~~~~~^~~~~~~~~~~~~~~
sequence.cpp:100:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d",&x);
   ~~~~~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 488 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 544 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 544 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 544 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 544 KB contestant found the optimal answer: 1 == 1
7 Correct 3 ms 640 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 640 KB contestant found the optimal answer: 1 == 1
9 Correct 3 ms 640 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 640 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 640 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 3 ms 640 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 3 ms 640 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 640 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 640 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 640 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 644 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 648 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 3 ms 648 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 860 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 860 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 860 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 860 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 860 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 860 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 860 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 860 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 860 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1716 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1716 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1716 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1716 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1716 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 1716 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 1716 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 1716 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1716 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1716 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 2364 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 2364 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 2364 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 2368 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 2492 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 2492 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 2492 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 2492 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 2492 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 68 ms 9936 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 9936 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 49 ms 9936 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 61 ms 9936 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 58 ms 9936 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 45 ms 9936 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 54 ms 9936 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 65 ms 9936 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 29 ms 9936 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 9936 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 583 ms 83692 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 83692 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 798 ms 83692 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 595 ms 83692 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 604 ms 83692 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 420 ms 83692 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 463 ms 83692 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 625 ms 83692 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845