oj.uz

Submission #639688

# Submission time Handle Problem Language Result Execution time Memory
639688 2022-09-11T04:22:39 Z BossBobster parentrises (BOI18_parentrises) C++17
72 / 100
 110 ms 112844 KB 
#include <iostream>
#include <string.h>
#include <random>
#include <fstream>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <iomanip>
#include <algorithm>
#include <math.h>
#include <cmath>
#include <vector>
#include <stack>
#include <queue>
#include <array>
#include <bitset>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <complex>
#include <valarray>
#include <memory>
#include <cassert>
using namespace std;
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
//template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef pair<int, int> pii;
typedef pair<int, string> pis;
typedef pair<int, short> pish;
typedef pair<string, string> pss;
typedef pair<int, char> pic;
typedef pair<pii, int> piii;
typedef pair<double, double> pdd;
typedef pair<float, float> pff;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef unsigned int uint;
typedef unsigned short ushort;
typedef pair<uint, uint> puint;
typedef pair<ll, ll> pll;
typedef pair<pll, ll> plll;
typedef pair<pll, ld> plld;
typedef pair<int, ll> pil;
typedef pair<ull, ull> pull;
typedef pair<ld, ld> pld;
typedef complex<double> cd;
//#define max(n, m) ((n>m)?n:m)
//#define min(n, m) ((n<m)?n:m)
#define f first
#define s second
#define input() ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define eps 1e-9
#define leni(x) sizeof(x)/sizeof(int)
//#define cin fin
//#define cout fout

const int mod = 1000000007;
int msum(int a, int b)
{
    a += b;
    if(a >= mod) a -= mod;
    return a;
}
int nums[1000010];
int pre;
char col[1000010];
int dp[310][310][310];
queue<int> cur;
int main()
{
    input();
    int p, t, n;
    string st;
    cin >> p >> t;
    if(p == 1)
    {
        while(t--)
        {
            cin >> st;
            n = (int)st.length();
            for(int i = 0; i < n; i ++)
                nums[i] = (st[i]=='(')?1:-1;
            pre = 0;
            //if prefix becomes < 0, remove two ')' from the beginning
            //if prefix ends up positive in the end, remove '(' from the end
            bool bad = false;
            while(cur.size())
                cur.pop();
            for(int i = 0; i < n; i ++)
                col[i] = 'G';
            for(int i = 0; i < n; i ++)
            {
                if(nums[i] == -1)
                {
                    cur.push(i);
                    pre --;
                    if(pre == -1)
                    {
                        if(cur.size() < 2) { bad = true; break; }
                        int a = cur.front(); cur.pop(); int b = cur.front(); cur.pop();
                        col[a] = 'R'; col[b] = 'B';
                        pre = 0;
                    }
                }
                else pre ++;
            }
            if(nums[n-1] == 1 || bad)
            {
                cout << "impossible\n";
                continue;
            }
            if(pre > 0)
            {
                int num = pre*2;
                char c = 'R';
                for(int i = n-1; i >= 0; i --)
                {
                    if(num == 0) break;
                    if(nums[i] == 1)
                    {
                        col[i] = c;
                        c = ((c=='R')?'B':'R');
                        num --;
                    }
                }
                if(num)
                {
                    cout << "impossible\n";
                    continue;
                }
            }
            pre = 0;
            for(int i = 0; i < n; i ++)
            {
                pre += nums[i]*((col[i]=='G')?2:1);
                if(pre < 0)
                {
                    bad = true;
                    break;
                }
            }
            if(pre > 0 || bad)
            {
                cout << "impossible\n";
                continue;
            }
            for(int i = 0; i < n; i ++)
                cout << col[i];
            cout << '\n';
        }
    }
    else
    {
        int lim = 305; //the limit for lower and upper bounds
        dp[0][0][0] = 1;
        for(int i = 0; i < 300; i ++)
            for(int j = 0; j < lim; j ++)
                for(int k = 0; k < lim; k ++)
                {
                    dp[i+1][j+1][k+2] = msum(dp[i+1][j+1][k+2], dp[i][j][k]);
                    if(k > 0) //we can do max(0, j-2) because we can set one ) to R and the other to B
                        dp[i+1][max(0, j-2)][k-1] = msum(dp[i+1][max(0, j-2)][k-1], dp[i][j][k]);
                }
        while(t--)
        {
            cin >> n;
            int ans = 0;
            for(int i = 0; i < lim; i ++)
                ans = msum(ans, dp[n][0][i]);
            cout << ans << '\n';
        }
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 420 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 420 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #4
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 420 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 408 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 4 ms 1236 KB Output is correct
18 Correct 3 ms 460 KB Output is correct
19 Correct 4 ms 724 KB Output is correct
20 Correct 4 ms 1236 KB Output is correct
21 Correct 16 ms 1004 KB Output is correct
22 Correct 31 ms 9192 KB Output is correct
23 Correct 22 ms 1748 KB Output is correct
24 Correct 24 ms 5076 KB Output is correct
25 Correct 31 ms 9148 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 112788 KB Output is correct

Subtask #6
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 112788 KB Output is correct
2 Correct 103 ms 112804 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 112788 KB Output is correct
2 Correct 103 ms 112804 KB Output is correct
3 Incorrect 110 ms 112844 KB Output isn't correct
4 Halted 0 ms 0 KB -