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Waiting for the dawn

23

2023/9/17

birthday

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daily 1

2023/9/15

CF 1680E

void solve() {
  int n;
  cin >> n;
  int l = 1, r = n;
  vector<vector<int>> a(n + 2, vector<int>(3)), dp(a);
  for (int j = 0; j < 2; ++j) {
    for (int i = 1; i <= n; ++i) {
      char c;
      cin >> c;
      a[i][j] = (c == '*' ? 1 : 0);
    }
  }
  while (!a[l][0] && !a[l][1]) ++l;
  while (!a[r][0] && !a[r][1]) --r;
  for (int i = l; i <= r; ++i) {
    dp[i][0] = min(dp[i - 1][0] + 1 + a[i][1], dp[i - 1][1] + 2);
    dp[i][1] = min(dp[i - 1][1] + 1 + a[i][0], dp[i - 1][0] + 2);
  }
  cout << min(dp[r][0], dp[r][1]) - 1 << '\n';
}
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daily 1

2023/9/14

CF 1728D

void solve() {
  string s;
  cin >> s;
  int n = s.size();
  s = ')' + s;
  auto check = [&](char x, char y) {
    if (x > y) return 1;
    if (x < y) return -1;
    return 0;
  };
  vector dp(n + 1, vector<int>(n + 1));
  for (int i = 1; i < n; ++i) {
    dp[i][i + 1] = (s[i] == s[i + 1]) ? 0 : 1;
  }
  int f1, f2, f3, f4;
  for (int len = 4; len <= n; len += 2) {
    for (int l = 1, r = len; r <= n; ++l, ++r) {
      dp[l][r] = -1;
      // case 1: Alice pick up s[l], Bob pick up s[l + 1]
      f1 = dp[l + 2][r] == 0 ? check(s[l], s[l + 1]) : dp[l + 2][r]; 
      // case 2: Alice pick up s[l], Bob pick up s[r]
      f2 = dp[l + 1][r - 1] == 0 ? check(s[l], s[r]) : dp[l + 1][r - 1];
      // case 1: Alice pick up s[r], Bob pick up s[r - 2]
      f3 = dp[l][r - 2] == 0 ? check(s[r], s[r - 1]) : dp[l][r - 2];
      // case 1: Alice pick up s[r], Bob pick up s[l]
      f4 = dp[l + 1][r - 1] == 0 ? check(s[r], s[l]) : dp[l + 1][r - 1];
      dp[l][r] = max(min(f1, f2), min(f3, f4));
    }
  }
  if (dp[1][n] == 1) {
    cout << "Alice" << '\n';
  } else if (dp[1][n] == -1) {
    cout << "Bob" << '\n';
  } else {
    cout << "Draw" << '\n';
  }
  return;
}
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daily 2

2023/9/13

CF 721C

void solve() {
  int n, m, T;
  cin >> n >> m >> T;
  vector<vector<int>> E(n + 1), cost(n + 1);
  vector<vector<int>> dp(n + 1, vector<int>(n + 1, INF)), pre(dp);
  vector<int> in(n + 1);
  for (int i = 1; i <= m; ++i) {
    int u, v, t;
    cin >> u >> v >> t;
    E[u].push_back(v);
    cost[u].push_back(t);
    in[v]++;
  }
  queue<int> q;
  for (int v = 1; v <= n; ++v) {
    if (!in[v]) {
      q.push(v);
    }
  }
  pre[1][1] = -1;
  dp[1][1] = 0;
  // dp[i][j] means the answer when passes j points and the current point is i
  while (!q.empty()) {
    auto u = q.front();
    q.pop();
    for (int i = 0; i < E[u].size(); ++i) {
      int v = E[u][i], c = cost[u][i];
      --in[v];
      if (!in[v]) {
        q.push(v);
      }
      for (int t = 2; t <= n; ++t) {
        if (dp[v][t] > dp[u][t - 1] + c) {
          dp[v][t] = dp[u][t - 1] + c;
          pre[v][t] = u;
        }
      }
    }
  }
  function<void(int, int)> print_trace = [&] (int cur, int t) {
    if (pre[cur][t] == -1) {
      cout << cur << ' ';
      return;
    }  
    print_trace(pre[cur][t], t - 1);
    cout << cur << ' ';
  };
  // reverse iteration
  for (int i = n; i >= 1; --i) {
    if (dp[n][i] <= T) {
      cout << i << '\n';
      print_trace(n, i);
      break;
    }
  }

  return;
}
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daily 2

2023/9/12

CF 453 A

void solve() {
  int m, n;
  cin >> m >> n;
  long double ans = 0;
  for (double i = 1; i <= m; i += 1) {
    ans += i * (pow(i / m, n) - pow((i - 1) / m, n));  
  }
  cout << ans << '\n';
  return ;
}

CF 721C

void solve() {
  int n, m, T;
  cin >> n >> m >> T;
  vector<vector<int>> E(n + 1), cost(n + 1);
  vector<vector<int>> dp(n + 1, vector<int>(n + 1, INF)), pre(dp);
  vector<int> in(n + 1);
  for (int i = 1; i <= m; ++i) {
    int u, v, t;
    cin >> u >> v >> t;
    E[u].push_back(v);
    cost[u].push_back(t);
    in[v]++;
  }
  queue<int> q;
  for (int v = 1; v <= n; ++v) {
    if (!in[v]) {
      q.push(v);
    }
  }
  pre[1][1] = -1;
  dp[1][1] = 0;
  // dp[i][j] means the answer when passes j points and the current point is i
  while (!q.empty()) {
    auto u = q.front();
    q.pop();
    for (int i = 0; i < E[u].size(); ++i) {
      int v = E[u][i], c = cost[u][i];
      --in[v];
      if (!in[v]) {
        q.push(v);
      }
      for (int t = 2; t <= n; ++t) {
        if (dp[v][t] > dp[u][t - 1] + c) {
          dp[v][t] = dp[u][t - 1] + c;
          pre[v][t] = u;
        }
      }
    }
  }
  function<void(int, int)> print_trace = [&] (int cur, int t) {
    if (pre[cur][t] == -1) {
      cout << cur << ' ';
      return;
    }  
    print_trace(pre[cur][t], t - 1);
    cout << cur << ' ';
  };
  // reverse iteration
  for (int i = n; i >= 1; --i) {
    if (dp[n][i] <= T) {
      cout << i << '\n';
      print_trace(n, i);
      break;
    }
  }

  return;
}
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daily 2

2023/9/11

CF 940E

void solve() {
  int n, c;
  cin >> n >> c;
  vector<int> a(n + 1);
  ll sum = 0;
  for (int i = 1; i <= n; ++i) {
    cin >> a[i];
    sum += a[i];
  } 
  deque<int> q;
  vector<ll> dp(n + 1);
  for (int i = 1; i <= n; ++i) {
    // we maintain a queue to store the increasing queue
    while(q.size() && a[q.back()] >= a[i]) q.pop_back();
    q.push_back(i);
    while(q.size() && i - q.front() >= c) q.pop_front();
    if(i >= c) dp[i] = max(dp[i - 1], dp[i - c] + a[q.front()]);
  }
  cout << sum - dp[n] << '\n';
  return ;
}

CF 580D

void solve() {
  int n, m, k;
  cin >> n >> m >> k;
  vector<int> a(n);
  vector<vector<ll>> dp(n,
                        vector<ll>(1 << n));  // the status is sta and ends in i
  for (int i = 0; i < n; ++i) {
    cin >> a[i];
    dp[i][1 << i] = a[i];
  }
  int u, v, c;
  vector<vector<int>> mp(n, vector<int>(n));
  for (int i = 0; i < k; ++i) {
    cin >> u >> v >> c;
    --u, --v;
    mp[u][v] = c;
  }
  for (int sta = 0; sta < (1 << n); ++sta) {
    for (int i = 0; i < n; ++i) {
      if (!(sta & (1 << i))) continue;
      for (int j = 0; j < n; ++j) {
        if (i == j || !(sta & (1 << j))) continue;
        dp[i][sta] = max(dp[i][sta], dp[j][sta ^ (1 << i)] + mp[j][i] + a[i]);
      }
    }
  }
  ll ans = 0;
  for (int i = 0; i < (1 << n); ++i) {
    if (__builtin_popcount(i) != m) {
      continue;
    }
    for (int j = 0; j < n; ++j) {
      ans = max(ans, dp[j][i]);
    }
  }
  cout << ans << '\n';
  return;
}
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daily 2

2023/9/10

CF 295C

#define total(x, y) ((x * 50 + y * 100))
ll A[N][N][N][N];
ll C[N][N];
ll dp[N << 2][N][N];
void solve() {
  ll n, lim;
  cin >> n >> lim;
  vector<int> a(n + 1);
  int cnta = 0, cntb = 0;
  for (int i = 1; i <= n; ++i) {
    cin >> a[i];
    if (a[i] == 50) {
      cnta++;
    } else {
      cntb++;
    }
  }
  for (int i = 0; i < N; ++i) {
    for (int j = C[i][0] = 1; j <= i; ++j) {
      C[i][j] = (C[i - 1][j] + C[i - 1][j - 1]) % MOD;
    }
  }
  for (int a = 0; a < N; ++a) {
    for (int b = 0; b < N; ++b) {
      for (int c = 0; c <= a; ++c) {
        for (int d = 0; d <= b; ++d) {
          A[a][b][c][d] = (C[a][c] * C[b][d]) % MOD;
        }
      }
    }
  }
  dp[0][cnta][cntb] = 1;
  for (int i = 1; i <= 4 * n + 1; i += 2) {
    ll res = 0;
    // positive direction
    for (int x = 0; x <= cnta; ++x) {
      for (int y = 0; y <= cntb; ++y) {
        if (dp[i - 1][x][y]) {
          for (int a = 0; a <= x; ++a) {
            for (int b = 0; b <= y; ++b) {
              if ((a | b) && (total(a, b) <= lim)) {
                dp[i][x - a][y - b] +=
                    (A[x][y][a][b] * dp[i - 1][x][y]);
                dp[i][x - a][y - b] %= MOD;
              }
            }
          }
        }
      }
    }
    if (dp[i][0][0]) {
      cout << i << '\n' << dp[i][0][0] << '\n';
      return;
    }
    // negative direction
    for (int x = 0; x <= cnta; ++x) {
      for (int y = 0; y <= cntb; ++y) {
        if (dp[i][x][y]) {
          for (int a = 0; a <= cnta - x; ++a) {
            for (int b = 0; b <= cntb - y; ++b) {
              if ((a | b) && (total(a, b) <= lim)) {
                dp[i + 1][x + a][y + b] +=
                    (A[cnta - x][cntb - y][a][b] * dp[i][x][y]);
                dp[i + 1][x + a][y + b] %= MOD;
              }
            }
          }
        }
      }
    }
  }
  cout << -1 << '\n' <<0 <<'\n';
  return;
}
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daily 1

2023/9/9

CF 59A

#include<iostream>
#include<string>
using namespace std;
int main(){
    string s;
    while(cin>>s){
        int low=0,up=0;
        for(int i=0;i<s.length();++i){
            if(s[i]>=65&&s[i]<=90)  ++up;
            else if(s[i]>=97&&s[i]<=122)    ++low;
        }
        if(low>=up){
            for(int i=0;i<s.length();++i){
                if(s[i]>=65&&s[i]<=90)
                    s[i]+=32;
            }
        }
        else{
            for(int i=0;i<s.length();++i){
                if(s[i]>=97&&s[i]<=122)
                    s[i]-=32;
            }
        }
        cout<<s<<'\n';
    }
    return 0;
}
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daily 1

2023/9/8

daily codeforces

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daily 2

2023/9/7

daily codeforces

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Yanxin Xiang

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