Submission #478227

# Submission time Handle Problem Language Result Execution time Memory
478227 2021-10-06T15:26:24 Z dennisstar Split the sequence (APIO14_sequence) C++17
28 / 100
369 ms 9992 KB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

struct line {
	ll a, b; int ind;
	ll get(ll x) { return a*x+b; }
	line() {}
	line(ll a, ll b, ll i) : a(a), b(b), ind(i) {}
};
 
struct cht {
	vector<line> l;
	int t;
	cht() : t(0) {}
	void upd(line v) {
		while (t+1<l.size() && (l.back().b<=v.b || (l[l.size()-2].b-v.b)*(l.back().a-l[l.size()-2].a)<=(l[l.size()-2].b-l.back().b)*(v.a-l[l.size()-2].a))) l.pop_back();
		l.emplace_back(v);
	}
	pair<ll, ll> get(ll x) {
		while (t+1<l.size() && l[t].get(x)<l[t+1].get(x)) t++;
		return {l[t].get(x), l[t].ind};
	}
};

vector<int> rt, ans;

pair<ll, ll> sol(vector<ll> &a, ll s, bool q=false) {
	int n=a.size();
	vector<ll> d(n), l(n), c(n), ss;
	for (int i=0; i<n; i++) ss.emplace_back((ss.size()?ss.back():0)+a[i]);
	cht st;
	st.upd(line(2*ss.back(), 0, -1));
	for (int i=0; i<n; i++) {
		auto [v, j]=st.get(ss[i]);
		d[i]=v-2*ss[i]*ss[i]+s;
		l[i]=j;
		c[i]=(j<0?0:c[j])+1;
		st.upd(line(2*(ss[i]+ss[n-1]), d[i]-2*ss[i]*ss[n-1], i));
	}

	if (q) {
		rt.clear();
		for (int i=n-1; i!=-1; i=l[i]) rt.emplace_back(i);
		reverse(rt.begin(), rt.end());
	}

	return {d[n-1], c[n-1]};
}

void track(vector<ll> &a, ll s, int p) {
	sol(a, -(2*s+1), true);
	auto l=rt;
	sol(a, -(2*s-1), true);
	auto r=rt;
	if (l.size()==p) { ans=l; return ; }
	if (r.size()==p) { ans=r; return ; }
	for (int i=0, j=0; i+1<r.size(); i++) {
		while (l[j]<=r[i]) j++;
		if (r[i+1]<=l[j]&&i+1+l.size()-j==p) {
			for (int k=0; k<=i; k++) ans.emplace_back(r[k]);
			for (int k=j; k<l.size(); k++) ans.emplace_back(l[k]);
			return ;
		}
	}
	puts("fuck");
	assert(0);
}

int main() {
	cin.tie(0)->sync_with_stdio(0);

	int n, k;
	cin>>n>>k;
	k++;
	vector<ll> a(n);
	for (auto &i:a) cin>>i;

	ll s=0, e=1e18;
	while (s<e) {
		ll m=(s+e)/2;
		auto c=sol(a, -(2*m+1)).second;
		if (c>k) s=m+1;
		else e=m;
	}

	cout<<(sol(a, -2*s+1).first-(-2*s+1)*k)/2<<'\n';
	track(a, s, k);
	for (int i=0; i<k-1; i++) cout<<ans[i]+1<<' ';

	return 0;
}

Compilation message

sequence.cpp: In member function 'void cht::upd(line)':
sequence.cpp:18:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<line>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   18 |   while (t+1<l.size() && (l.back().b<=v.b || (l[l.size()-2].b-v.b)*(l.back().a-l[l.size()-2].a)<=(l[l.size()-2].b-l.back().b)*(v.a-l[l.size()-2].a))) l.pop_back();
      |          ~~~^~~~~~~~~
sequence.cpp: In member function 'std::pair<long long int, long long int> cht::get(ll)':
sequence.cpp:22:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<line>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   22 |   while (t+1<l.size() && l[t].get(x)<l[t+1].get(x)) t++;
      |          ~~~^~~~~~~~~
sequence.cpp: In function 'void track(std::vector<long long int>&, ll, int)':
sequence.cpp:57:14: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   57 |  if (l.size()==p) { ans=l; return ; }
      |      ~~~~~~~~^~~
sequence.cpp:58:14: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   58 |  if (r.size()==p) { ans=r; return ; }
      |      ~~~~~~~~^~~
sequence.cpp:59:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   59 |  for (int i=0, j=0; i+1<r.size(); i++) {
      |                     ~~~^~~~~~~~~
sequence.cpp:61:35: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   61 |   if (r[i+1]<=l[j]&&i+1+l.size()-j==p) {
      |                     ~~~~~~~~~~~~~~^~~
sequence.cpp:63:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |    for (int k=j; k<l.size(); k++) ans.emplace_back(l[k]);
      |                  ~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 204 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 204 KB contestant found the optimal answer: 0 == 0
4 Incorrect 0 ms 204 KB declared answer doesn't correspond to the split scheme: declared = 1542526, real = 1542524
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 204 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 204 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 204 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 204 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 204 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 204 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 204 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 204 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 204 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 204 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 204 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Incorrect 1 ms 332 KB declared answer doesn't correspond to the split scheme: declared = 1019625824, real = 1019625819
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 2 ms 332 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 3 ms 332 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 2 ms 332 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 2 ms 332 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 2 ms 332 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 332 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 2 ms 332 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Incorrect 19 ms 1124 KB declared answer doesn't correspond to the split scheme: declared = 1818678305, real = 1818678304
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 317 ms 9532 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 326 ms 9552 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Incorrect 369 ms 9992 KB declared answer doesn't correspond to the split scheme: declared = 497443232642597614, real = 496781753454350046
4 Halted 0 ms 0 KB -