Submission #1120102

#	Time	Username	Problem	Language	Result	Execution time	Memory
1120102		Yang8on	Collecting Stamps 3 (JOI20_ho_t3)	C++17	100 / 100	94 ms	134024 KiB

ho_t3

#include <bits/stdc++.h>
#define Y8o "CollectingStamps3"
#define maxn (int) 205
#define ll long long
#define pii pair<int, int>
#define gb(i, j) ((i >> j) & 1)
#define all(x) x.begin(), x.end()
#define _left id * 2, l, mid
#define _right id * 2 + 1, mid + 1, r
#define fi(i, a, b) for(int i = a; i <= b; i ++)
#define fid(i, a, b) for(int i = a; i >= b; i --)

#define f first
#define s second

using namespace std;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll GetRandom(ll l, ll r) {
    return uniform_int_distribution<ll> (l, r) (rng);
}
void iof() {
    ios_base::sync_with_stdio(0);
    cin.tie(NULL), cout.tie(NULL);
    if(fopen(Y8o".inp", "r"))
    {
        freopen(Y8o".inp", "r", stdin);
//        freopen(Y8o".out", "w", stdout);
    }
}
void ctime() {
    cerr << "\n" << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
}

const ll inf = 1e18;
int n, L;
pii a[maxn];

namespace sub1 {

    int dp[1 << 12][13][205];

    int cost(int i, int j) {
        pii x = a[i], y = a[j];
        if(x.f > y.f) swap(x, y);
        return min( y.f - x.f, L - y.f + x.f - 0 );
    }

    void solve() {
        memset(dp, -0x3f, sizeof dp);
        fi(i, 1, n) dp[(1 << (i - 1))][i][cost(0, i)] = cost(0, i) <= a[i].s;

        fi(mask, 1, (1 << n) - 1) {
            fi(i, 1, n) if(gb(mask, i - 1)) {
                fi(j, 1, n) if(!gb(mask, j - 1)) {
                    int w = cost(i, j);
                    fi(t, 0, 200 - w) {
                        dp[mask ^ (1 << (j - 1))][j][t + w] =
                        max(dp[mask ^ (1 << (j - 1))][j][t + w], dp[mask][i][t] + (t + w <= a[j].s));
                    }
                }
            }
        }

        int ans = 0;
        fi(i, 1, n) {
            fi(t, 0, 200) {
                ans = max(ans, dp[(1 << n) - 1][i][t]);
            }
        }
        cout << ans;
    }
}

namespace sub2 {

    int cost(int i, int j) {
        pii x = a[i], y = a[j];
        if(x.f > y.f) swap(x, y);
        return min( y.f - x.f, L - y.f + x.f - 0 );
    }

    ll dp[1 << 15][16][16];

    void solve() {
        fi(mask, 0, (1 << n) - 1) fi(i, 0, n) fi(sl, 0, n)
            dp[mask][i][sl] = inf;

        fi(i, 1, n) {
            int w = cost(0, i), tt = w <= a[i].s;
            dp[1 << (i - 1)][i][tt] = w;
        }

        fi(mask, 1, (1 << n) - 1) {
            fi(i, 1, n) if(gb(mask, i - 1)) {
                fi(j, 1, n) if(!gb(mask, j - 1)) {
                    int w = cost(i, j);
                    fi(sl, 0, n) {
                        int tt = dp[mask][i][sl] + w <= a[j].s;
                        dp[mask ^ (1 << (j - 1))][j][sl + tt] =
                        min(dp[mask ^ (1 << (j - 1))][j][sl + tt], dp[mask][i][sl] + w);
                    }
                }
            }
        }

        int ans = 0;
        fi(i, 1, n) fi(sl, 0, n) if(dp[(1 << n) - 1][i][sl] != inf)
            ans = max(ans, sl);
        cout << ans;
    }
}

namespace sub {

    int cost(int i, int j) {
        pii x = a[i], y = a[j];
        if(x.f > y.f) swap(x, y);
        return min( y.f - x.f, L - y.f + x.f - 0 );
    }

    ll dp[maxn][maxn][maxn][2];

    void solve() {
        fi(i, 0, n + 2) fi(j, 0, n + 2) fi(sl, 0, n)
            dp[i][j][sl][0] = dp[i][j][sl][1] = inf;
        dp[0][n + 1][0][0] = dp[0][n + 1][0][1] = 0;

        fid(len, n + 1, 0) {
            fi(i, 0, (n + 1) - len + 1) {
                int j = i + len - 1;
                fi(sl, 0, n) {
                    if(i > 0) {
                        int tt = dp[i - 1][j][sl][0] + cost(i - 1, i) <= a[i].s;
                        dp[i][j][sl + tt][0] = min(dp[i][j][sl + tt][0], dp[i - 1][j][sl][0] + cost(i - 1, i));

                        tt = dp[i - 1][j][sl][1] + cost(j, i) <= a[i].s;
                        dp[i][j][sl + tt][0] = min(dp[i][j][sl + tt][0], dp[i - 1][j][sl][1] + cost(j, i));

                    }
                    int tt = dp[i][j + 1][sl][0] + cost(i, j) <= a[j].s;
                    dp[i][j][sl + tt][1] = min(dp[i][j][sl + tt][1], dp[i][j + 1][sl][0] + cost(i, j));

                    tt = dp[i][j + 1][sl][1] + cost(j + 1, j) <= a[j].s;
                    dp[i][j][sl + tt][1] = min(dp[i][j][sl + tt][1], dp[i][j + 1][sl][1] + cost(j + 1, j));
                }
            }
        }


        int ans = 0;
        fi(i, 0, n) {
            int j = i + 1;
            fi(sl, 0, n) if(dp[i][j][sl][0] != inf || dp[i][j][sl][1] != inf) {
                ans = max(ans, sl);
            }
        }
        cout << ans;
    }

}

void solve() {
    cin >> n >> L ;
    fi(i, 1, n) cin >> a[i].f;
    fi(i, 1, n) cin >> a[i].s;

    if(n <= 12 && L <= 200) return sub1 :: solve(), void();
    if(n <= 15) return sub2 :: solve(), void();
    return sub :: solve(), void();
}


int main() {
    iof();

    int nTest = 1;
//    cin >> nTest;

    while(nTest --) {
        solve();
    }

    ctime();
    return 0;
}

Compilation message (stderr)

ho_t3.cpp: In function 'void sub1::solve()':
ho_t3.cpp:54:39: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
   54 |             fi(i, 1, n) if(gb(mask, i - 1)) {
      |                                     ~~^~~
ho_t3.cpp:6:25: note: in definition of macro 'gb'
    6 | #define gb(i, j) ((i >> j) & 1)
      |                         ^
ho_t3.cpp:55:44: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
   55 |                 fi(j, 1, n) if(!gb(mask, j - 1)) {
      |                                          ~~^~~
ho_t3.cpp:6:25: note: in definition of macro 'gb'
    6 | #define gb(i, j) ((i >> j) & 1)
      |                         ^
ho_t3.cpp: In function 'void sub2::solve()':
ho_t3.cpp:95:39: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
   95 |             fi(i, 1, n) if(gb(mask, i - 1)) {
      |                                     ~~^~~
ho_t3.cpp:6:25: note: in definition of macro 'gb'
    6 | #define gb(i, j) ((i >> j) & 1)
      |                         ^
ho_t3.cpp:96:44: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
   96 |                 fi(j, 1, n) if(!gb(mask, j - 1)) {
      |                                          ~~^~~
ho_t3.cpp:6:25: note: in definition of macro 'gb'
    6 | #define gb(i, j) ((i >> j) & 1)
      |                         ^
ho_t3.cpp: In function 'void iof()':
ho_t3.cpp:27:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   27 |         freopen(Y8o".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 5 / 5
• Subtask 2: 10 / 10
• Subtask 3: 10 / 10
• Subtask 4: 75 / 75