Submission #227865

# Submission time Handle Problem Language Result Execution time Memory
227865 2020-04-29T05:33:51 Z quocnguyen1012 parentrises (BOI18_parentrises) C++14
100 / 100
217 ms 19160 KB
#include <bits/stdc++.h>

#define all(v) (v).begin(), (v).end()
#define sortv(v) sort(all(v))
#define uniqv(v) (v).erase(unique(all(v)), (v).end())
#define pb push_back
#define FI first
#define SE second
#define lb lower_bound
#define ub upper_bound
#define mp make_pair
#define test 0
#define TEST if(test)
#define ii pair<int, int>
#define fi first
#define se second
#define eb emplace_back

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;

const ll MOD = 1000000007; // 998244353
const int INF = 2e9;
const ll INFLL = 1e18;
const int MAX_N = 300;

int P, T, N;
string str;
vector<pii> vt;
vector<int> ans;

vector<pii> query;
ll answer[MAX_N+1];
ll dp[2][MAX_N+1][MAX_N*3+1];

void solve(void)
{
  string str; cin >> str;
  int n = str.size();
  vector<ii> sum;
  if(str[0] == ')'){
    cout << "impossible\n";
    return;
  }
  bool ok = true;
  sum.eb(1, 2);
  for(int i = 1; i < n; ++i){
    auto now = sum.back();
    if(str[i] == '('){
      now.fi++; now.se += 2;
    }
    else{
      now.fi -= 2; now.se--;
    }
    if(now.se < 0){
      ok = false;
      break;
    }
    now.fi = max(now.fi, 0);
    sum.eb(now);
  }
  if(sum.back().fi != 0)
    ok = false;
  if(!ok){
    cout << "impossible\n";
    return;
  }
  //for(auto it : sum) cerr << it.fi << ' ' << it.se << '\n';
  int suf = 0, num1 = 0, num2 = 0;
  vector<int> ans;
  for(int i = n - 1; i >= 0; --i){
    //cerr << suf << ' ';
    if(i == 0){
      if(suf == 2){
        ans.eb(3);
      }
      else{
        if(num1 > 0) ans.eb(1);
        else ans.eb(2);
      }
    }
    else{
      auto need = sum[i - 1];
      if(str[i] == '('){
        if(need.fi <= suf - 1 && suf - 1 <= need.se){
          suf--;
          if(num2 > num1){
            ans.eb(2); --num2;
          }
          else{
            ans.eb(1); --num1;
          }
        }
        else{
          suf -= 2;
          ans.eb(3);
          --num1; --num2;
        }
      }
      else{
        if(need.fi <= suf + 1 && suf + 1 <= need.se){
          ++suf;
          if(num2 > num1){
            ans.eb(1); ++num1;
          }
          else{
            ans.eb(2); ++num2;
          }
        }
        else{
          suf += 2;
          ans.eb(3);
          ++num1; ++num2;
        }
      }
    }
  }
  for(int i = n - 1; i >= 0; --i){
    if(ans[i] == 3){
      cout << 'G';
    }
    else if(ans[i] == 1){
      cout << 'R';
    }
    else{
      cout << 'B';
    }
  }
  cout << '\n';
}

int main(){
	#ifdef LOCAL
    freopen("A.INP", "r", stdin);
    freopen("A.OUT", "w", stdout);
  #endif // LOCAL
	scanf("%d%d", &P, &T);
	if(P==1){
		while(T--){
			solve();
		}
	}else{
		for(int i=0; i<T; i++){
			scanf("%d", &N);
			query.pb({N, i});
		}
		sort(query.begin(), query.end());
		dp[0][0][0] = 1LL;
		int idx = 0;
		for(int n=1; n<=MAX_N; n++){
			for(int i=0; i<n; i++){
				for(int j=0; j<=2*MAX_N; j++){
					dp[1][i+1][j+1] = (dp[1][i+1][j+1] + dp[0][i][j]) % MOD;
					if(i*2>=n-i)	dp[1][i][max(0, j-2)] = (dp[1][i][max(0, j-2)] + dp[0][i][j]) % MOD;
				}
			}
			TEST cout<<n<<endl;
			for(int i=0; i<=n; i++){
				for(int j=0; j<=2*MAX_N; j++){
					dp[0][i][j] = dp[1][i][j];
					dp[1][i][j] = 0LL;
					TEST{
						if(dp[0][i][j]!=0){
							cout<<i<<" "<<j<<" "<<dp[0][i][j]<<endl;
						}
					}
				}
			}
			ll sum = 0;
			for(int j=0; j<=n; j++){
				sum = (sum + dp[0][j][0]) % MOD;
			}
			while(idx<query.size() && query[idx].first==n){
				answer[query[idx].second] = sum;
				idx++;
			}
		}
		for(int i=0; i<T; i++){
			printf("%lld\n", answer[i]);
		}
	}
	return 0;
}

Compilation message

parentrises.cpp: In function 'int main()':
parentrises.cpp:177:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    while(idx<query.size() && query[idx].first==n){
          ~~~^~~~~~~~~~~~~
parentrises.cpp:141:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d", &P, &T);
  ~~~~~^~~~~~~~~~~~~~~~
parentrises.cpp:148:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
    scanf("%d", &N);
    ~~~~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 256 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 6 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 6 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 7 ms 512 KB Output is correct
12 Correct 6 ms 640 KB Output is correct
13 Correct 6 ms 384 KB Output is correct
14 Correct 6 ms 512 KB Output is correct
15 Correct 6 ms 616 KB Output is correct
16 Correct 31 ms 512 KB Output is correct
17 Correct 17 ms 2420 KB Output is correct
18 Correct 14 ms 784 KB Output is correct
19 Correct 15 ms 1436 KB Output is correct
20 Correct 18 ms 2420 KB Output is correct
21 Correct 217 ms 2168 KB Output is correct
22 Correct 121 ms 19152 KB Output is correct
23 Correct 93 ms 4060 KB Output is correct
24 Correct 101 ms 9980 KB Output is correct
25 Correct 120 ms 19160 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 132 ms 4600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 132 ms 4600 KB Output is correct
2 Correct 130 ms 4600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 132 ms 4600 KB Output is correct
2 Correct 130 ms 4600 KB Output is correct
3 Correct 130 ms 4548 KB Output is correct