9818 2024. 03. 08 03:24:22 SleepyOverlord Szitakötő (50 pont) cpp17 Elfogadva 50/50 57ms 9264 KiB
#include <vector>
#include <string> 
#include <set> 
#include <map> 
#include <unordered_set>
#include <unordered_map>
#include <queue> 
#include <bitset> 
#include <stack>
#include <list>

#include <numeric> 
#include <algorithm> 
#include <random>
#include <chrono>

#include <cstdio>
#include <fstream>
#include <iostream> 
#include <sstream> 
#include <iomanip>
#include <climits>

#include <cctype>
#include <cmath> 
#include <ctime>
#include <cassert>

using namespace std;

#define ULL unsigned long long
#define LL long long
#define PII pair <int, int>
#define VB vector <bool>
#define VI vector <int>
#define VLL vector <LL>
#define VD vector <double>
#define VS vector <string>
#define VPII vector <pair <int, int> >
#define VVI vector < VI >
#define VVB vector < VB >
#define SI set < int >
#define USI unordered_set <int>
#define MII map <int, int>
#define UMII unordered_map <int, int>
#define MS multiset
#define US unordered_set
#define UM unordered_map
#define UMS unordered_multiset
#define UMM unordered_multimap

#define FORN(i, n) for(int i = 0; i < (n); ++i)
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)
#define MX(x, y) x = max(x, y);
#define MN(x, y) x = min(x, y);

#define SZ size()
#define BG begin() 
#define EN end() 
#define CL clear()
#define X first
#define Y second
#define RS resize
#define PB push_back
#define MP make_pair
#define ALL(x) x.begin(), x.end()
#define INS insert
#define ER erase
#define CNT count

template <class T> ostream& operator <<(ostream & os, const vector<T> &vec)
{
	for (int i = 0; i < vec.size() - 1; ++i) os << vec[i] << ' ';
	return os << vec[vec.size() - 1];
}

template <class T1, class T2> ostream& operator <<(ostream & os, const pair<T1, T2> &p)
{
	return os << p.X << " " << p.Y;
}

template <typename T>
void pr(T var1)
{
	cout << var1 << '\n';
}
template <typename T, typename... Types>
void pr(T var1, Types... var2)
{
	cout << var1;
	pr(var2...);
}

void in(int &n, VI &a) //array of ints
{
	cin >> n;
	a.CL, a.RS(n + 1);
	FOR(i, 1, n) cin >> a[i];
}

void in(int &n, VS &a) //array of strings
{
	cin >> n;
	a.CL, a.RS(n + 1);
	FOR(i, 1, n) cin >> a[i];
}

void in(int &n, VPII &a) //array of pairs
{
	cin >> n;
	a.CL, a.RS(n + 1);
	FOR(i, 1, n) cin >> a[i].X >> a[i].Y;
}

void in(int &n, int &m, VVI &g) //unweighted graph
{
	cin >> n >> m;
	g.CL, g.RS(n + 1);
	FOR(i, 1, n)
	{
		int x, y;
		cin >> x >> y;
		g[x].PB(y);
		g[y].PB(x);
	}
}

void in(int &n, VVI &g) //unweighted tree
{
	cin >> n;
	g.CL, g.RS(n + 1);
	FOR(i, 1, n - 1)
	{
		int x, y;
		cin >> x >> y;
		g[x].PB(y);
		g[y].PB(x);
	}
}

void in(int &n, int &m, vector <VPII> &g) //weighted graph
{
	cin >> n >> m;
	g.CL, g.RS(n + 1);
	FOR(i, 1, n)
	{
		int x, y, z;
		cin >> x >> y >> z;
		g[x].PB({y, z});
		g[y].PB({x, z});
	}
}

void in(int &n, vector <VPII> &g) //weighted tree
{
	cin >> n;
	g.CL, g.RS(n + 1);
	FOR(i, 1, n - 1)
	{
		int x, y, z;
		cin >> x >> y >> z;
		g[x].PB({y, z});
		g[y].PB({x, z});
	}
}

const int MOD = 1e9 + 7;

int n, k;
VI a, pow2;
vector <ULL> ps;

int main()
{
	#ifdef AT_HOME
	freopen("a.in", "r", stdin);
	freopen("a.out", "w", stdout);
	#endif

	cin >> n >> k;
	if (n == 1)
	{
		pr(2);
		return 0;
	}
	a.RS(n + 1);
	ps.RS(n + 1);
	pow2.RS(n + 1);
	FOR(i, 1, n) 
	{
		cin >> a[i];
		ps[i] = ps[i - 1] + a[i];
	}

	pow2[0] = 1;
	FOR(i, 1, n) pow2[i] = pow2[i - 1] * 2 % MOD;

	ULL solLeft = 0, solRight = 0;
	ULL larvaSize = a[k];
	//Bimbo balra kell induljon, hogy tulelje (kiveve ha utolso)
	FORD(i, k - 1, 2)
	{
		//Ha i balra indult
		if (larvaSize >= ps[i]) solLeft = (solLeft + pow2[i - 1]) % MOD;
		//Ha i jobbra indult
		larvaSize += a[i];
	}
	//Az elso mindegy merre indult
	if (k > 1) larvaSize += a[1], solLeft += 2;
	VI dp(n + 1); //hany lehetoseg van ha i-1-el bezarolag jobbra indulunk
	VI dpSuf(n + 2);
	dpSuf[n] = dp[n] = 2;

	//Bimbo ezutan talalkozik a "jobboldallal"
	FORD(i, n - 1, k + 1)
	{
		larvaSize = ps[i - 1];
		//Ha i jobbra indult
		if (larvaSize > ps[n] - ps[i - 1]) //Meg tudunk enni mindenkit aki maradt
		{
			dp[i] = (dp[i + 1] + pow2[n - i]) % MOD;
		}
		else
		{
			//Meddig tudjuk osszeszedni a jobbra levo larvakat?
			int l = i, r = n;
			while (r - l > 1)
			{
				int m = (l + r) / 2;
				LL s = ps[m] - ps[i - 1];
				if (larvaSize > s) l = m;
				else r = m;
			}
			LL aux = dpSuf[i + 1];
			aux -= dpSuf[r + 1];
			if (aux < 0) aux += MOD;
			dp[i] = (dp[i] + aux) % MOD;
		}
		dpSuf[i] = (dpSuf[i + 1] + dp[i]) % MOD;
		//Ha i tul nagy
		if (larvaSize <= a[i])
		{
			pr(0);
			return 0;
		}
	}
	solRight = dp[k + 1];
	if (k < n)
		if (ps[n - 1] <= a[n])
		{
			pr(0);
			return 0;
		}
		else ;
	else solRight = 2; //ha utolso, indulhatott jobbra is es minden ugyanaz

	pr(solLeft % MOD * solRight % MOD);

	return 0;
}
Részfeladat Összpont Teszt Verdikt Idő Memória
base 50/50
1 Elfogadva 0/0 3ms 1872 KiB
2 Elfogadva 0/0 57ms 6712 KiB
3 Elfogadva 1/1 3ms 2336 KiB
4 Elfogadva 1/1 3ms 2364 KiB
5 Elfogadva 1/1 2ms 2364 KiB
6 Elfogadva 1/1 3ms 2376 KiB
7 Elfogadva 1/1 3ms 2500 KiB
8 Elfogadva 1/1 3ms 2580 KiB
9 Elfogadva 1/1 3ms 2708 KiB
10 Elfogadva 2/2 3ms 2832 KiB
11 Elfogadva 2/2 3ms 2832 KiB
12 Elfogadva 2/2 3ms 3076 KiB
13 Elfogadva 2/2 3ms 3192 KiB
14 Elfogadva 2/2 3ms 3420 KiB
15 Elfogadva 2/2 3ms 3488 KiB
16 Elfogadva 2/2 3ms 3584 KiB
17 Elfogadva 2/2 3ms 3668 KiB
18 Elfogadva 2/2 3ms 3796 KiB
19 Elfogadva 2/2 3ms 4020 KiB
20 Elfogadva 2/2 3ms 4104 KiB
21 Elfogadva 1/1 3ms 4468 KiB
22 Elfogadva 2/2 43ms 9012 KiB
23 Elfogadva 2/2 43ms 9000 KiB
24 Elfogadva 2/2 56ms 8932 KiB
25 Elfogadva 2/2 50ms 8932 KiB
26 Elfogadva 2/2 48ms 9200 KiB
27 Elfogadva 2/2 28ms 8992 KiB
28 Elfogadva 2/2 46ms 8992 KiB
29 Elfogadva 2/2 37ms 9264 KiB
30 Elfogadva 2/2 54ms 9136 KiB
31 Elfogadva 2/2 46ms 9140 KiB