Submission #1039595

# Submission time Handle Problem Language Result Execution time Memory
1039595 2024-07-31T05:06:40 Z underwaterkillerwhale Visiting Singapore (NOI20_visitingsingapore) C++17
100 / 100
444 ms 196948 KB
#include <bits/stdc++.h>
#define se              second
#define fs              first
#define mp              make_pair
#define pb              push_back
#define ll              long long
#define ii              pair<ll,ll>
#define ld              long double
#define SZ(v)           (int)v.size()
#define ALL(v)          v.begin(), v.end()
#define bit(msk, i)     ((msk >> i) & 1)
#define iter(id, v)     for(auto id : v)
#define rep(i,m,n)      for(int i=(m); i<=(n); i++)
#define reb(i,m,n)      for(int i=(m); i>=(n); i--)
using namespace std;

mt19937_64 rd(chrono :: steady_clock :: now().time_since_epoch().count());
ll Rand(ll l, ll r) { return uniform_int_distribution<ll> (l, r)(rd); }

const int N = 5e3 + 7;
const int Mod = 1e9 + 7;
const int szBL = 240;
const int INF = 1e9;
const int BASE = 137;

int n, K, m, A, B;
int dp[N][N], f[N][N], pt[N][2], ps[N][2];
int V[N];
int T[N], S[N];

inline void maximize (int &A, int B) { if (A < B) A = B; }

void solution () {
    cin >> K >> n >> m >> A >> B;
    rep (i, 1, K) cin >> V[i];
    rep (i, 1, n) cin >> S[i];
    rep (i, 1, m) cin >> T[i];

    memset(dp, -0x3f, sizeof dp);
    memset(f, -0x3f, sizeof f);
    rep (i, 0, m) pt[i][0] = ps[i][0] = -INF;
    rep (j, 1, n) {
        rep (i, 0, m) ps[i][j & 1] = -INF;
        rep (i, 1, m) {
            if (S[j] == T[i]) {
                if (i == 1) maximize(dp[i][j], V[T[1]]);
                else maximize (dp[i][j], A + B * (i - 1) + V[T[i]]);
                if (T[i - 1] == S[j - 1]) maximize(dp[i][j], dp[i - 1][j - 1] + V[T[i]]);
                maximize (dp[i][j], f[i - 1][j - 1] + 2 * A + B * i + B * j + V[T[i]]);
                maximize (dp[i][j], ps[i - 1][j & 1 ^ 1] + A + B * i + V[T[i]]);
                maximize (dp[i][j], pt[i - 1][j & 1 ^ 1] + A + B * j + V[T[i]]);
//                cout << i<<" "<<j<<" "<<ps[i][j & 1 ^ 1]<<" "<<dp[i][j]<<"\n";
//                rep (k, 1, i - 1) {
//                    if (S[j - 1] == T[k]) {
//                        dp[i][j] = max(dp[i][j],
//                                   dp[k][j - 1] + A * (i - k >= 2) + B * (i - k - 1) + V[T[i]]);
//                    }
//                }
//                rep (k, 1, j - 1) {
//                    if (S[k] == T[i - 1]) {
//                        dp[i][j] = max(dp[i][j],
//                                   dp[i - 1][k] + A * (j - k >= 2) + B * (j - k - 1) + V[T[i]]);
//                    }
//                }
            }
            f[i][j] = max({f[i - 1][j], f[i][j - 1], dp[i][j] - B * (j + 1) - B * (i + 1)});
            pt[i][j & 1] = max(pt[i][j & 1 ^ 1], dp[i][j] - B * (j + 1));
            ps[i][j & 1] = max(ps[i - 1][j & 1], dp[i][j] - B * (i + 1));
        }
    }
    int res = -INF;
    rep (i, 1, m)
    rep (j, 1, n) res = max(res, dp[i][j] + A * (i != m) + B * (m - i));
    cout << max(res, A + B * m)<<"\n";
}
#define file(name) freopen(name".inp", "r", stdin); \
freopen(name".out", "w", stdout);
/*
*/
int main () {
//    file("c");
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    ll num_Test = 1;
//    cin >> num_Test;
    while(num_Test--)
        solution();
}
/*
no bug challenge +2
*/

Compilation message

VisitingSingapore.cpp: In function 'void solution()':
VisitingSingapore.cpp:50:49: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   50 |                 maximize (dp[i][j], ps[i - 1][j & 1 ^ 1] + A + B * i + V[T[i]]);
      |                                               ~~^~~
VisitingSingapore.cpp:51:49: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   51 |                 maximize (dp[i][j], pt[i - 1][j & 1 ^ 1] + A + B * j + V[T[i]]);
      |                                               ~~^~~
VisitingSingapore.cpp:67:40: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   67 |             pt[i][j & 1] = max(pt[i][j & 1 ^ 1], dp[i][j] - B * (j + 1));
      |                                      ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 83 ms 196684 KB Output is correct
2 Correct 96 ms 196620 KB Output is correct
3 Correct 86 ms 196596 KB Output is correct
4 Correct 80 ms 196624 KB Output is correct
5 Correct 83 ms 196692 KB Output is correct
6 Correct 85 ms 196688 KB Output is correct
7 Correct 78 ms 196688 KB Output is correct
8 Correct 85 ms 196504 KB Output is correct
9 Correct 90 ms 196472 KB Output is correct
10 Correct 102 ms 196636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 80 ms 196692 KB Output is correct
2 Correct 79 ms 196692 KB Output is correct
3 Correct 83 ms 196692 KB Output is correct
4 Correct 85 ms 196476 KB Output is correct
5 Correct 86 ms 196688 KB Output is correct
6 Correct 90 ms 196688 KB Output is correct
7 Correct 88 ms 196692 KB Output is correct
8 Correct 98 ms 196524 KB Output is correct
9 Correct 86 ms 196632 KB Output is correct
10 Correct 96 ms 196732 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 105 ms 196736 KB Output is correct
2 Correct 91 ms 196692 KB Output is correct
3 Correct 176 ms 196536 KB Output is correct
4 Correct 310 ms 196692 KB Output is correct
5 Correct 146 ms 196776 KB Output is correct
6 Correct 172 ms 196616 KB Output is correct
7 Correct 268 ms 196692 KB Output is correct
8 Correct 141 ms 196688 KB Output is correct
9 Correct 193 ms 196688 KB Output is correct
10 Correct 360 ms 196692 KB Output is correct
11 Correct 354 ms 196688 KB Output is correct
12 Correct 368 ms 196768 KB Output is correct
13 Correct 361 ms 196692 KB Output is correct
14 Correct 423 ms 196944 KB Output is correct
15 Correct 435 ms 196692 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 105 ms 196736 KB Output is correct
2 Correct 91 ms 196692 KB Output is correct
3 Correct 176 ms 196536 KB Output is correct
4 Correct 310 ms 196692 KB Output is correct
5 Correct 146 ms 196776 KB Output is correct
6 Correct 172 ms 196616 KB Output is correct
7 Correct 268 ms 196692 KB Output is correct
8 Correct 141 ms 196688 KB Output is correct
9 Correct 193 ms 196688 KB Output is correct
10 Correct 360 ms 196692 KB Output is correct
11 Correct 354 ms 196688 KB Output is correct
12 Correct 368 ms 196768 KB Output is correct
13 Correct 361 ms 196692 KB Output is correct
14 Correct 423 ms 196944 KB Output is correct
15 Correct 435 ms 196692 KB Output is correct
16 Correct 234 ms 196576 KB Output is correct
17 Correct 259 ms 196644 KB Output is correct
18 Correct 242 ms 196688 KB Output is correct
19 Correct 110 ms 196688 KB Output is correct
20 Correct 193 ms 196692 KB Output is correct
21 Correct 87 ms 196660 KB Output is correct
22 Correct 117 ms 196652 KB Output is correct
23 Correct 160 ms 196800 KB Output is correct
24 Correct 109 ms 196688 KB Output is correct
25 Correct 353 ms 196712 KB Output is correct
26 Correct 359 ms 196688 KB Output is correct
27 Correct 361 ms 196692 KB Output is correct
28 Correct 345 ms 196688 KB Output is correct
29 Correct 444 ms 196644 KB Output is correct
30 Correct 418 ms 196688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 105 ms 196736 KB Output is correct
2 Correct 91 ms 196692 KB Output is correct
3 Correct 176 ms 196536 KB Output is correct
4 Correct 310 ms 196692 KB Output is correct
5 Correct 146 ms 196776 KB Output is correct
6 Correct 172 ms 196616 KB Output is correct
7 Correct 268 ms 196692 KB Output is correct
8 Correct 141 ms 196688 KB Output is correct
9 Correct 193 ms 196688 KB Output is correct
10 Correct 360 ms 196692 KB Output is correct
11 Correct 354 ms 196688 KB Output is correct
12 Correct 368 ms 196768 KB Output is correct
13 Correct 361 ms 196692 KB Output is correct
14 Correct 423 ms 196944 KB Output is correct
15 Correct 435 ms 196692 KB Output is correct
16 Correct 319 ms 196608 KB Output is correct
17 Correct 183 ms 196680 KB Output is correct
18 Correct 110 ms 196592 KB Output is correct
19 Correct 89 ms 196556 KB Output is correct
20 Correct 87 ms 196560 KB Output is correct
21 Correct 91 ms 196688 KB Output is correct
22 Correct 184 ms 196692 KB Output is correct
23 Correct 105 ms 196692 KB Output is correct
24 Correct 268 ms 196688 KB Output is correct
25 Correct 349 ms 196612 KB Output is correct
26 Correct 368 ms 196948 KB Output is correct
27 Correct 377 ms 196688 KB Output is correct
28 Correct 377 ms 196692 KB Output is correct
29 Correct 424 ms 196724 KB Output is correct
30 Correct 416 ms 196816 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 196688 KB Output is correct
2 Correct 81 ms 196632 KB Output is correct
3 Correct 80 ms 196696 KB Output is correct
4 Correct 81 ms 196692 KB Output is correct
5 Correct 81 ms 196688 KB Output is correct
6 Correct 79 ms 196516 KB Output is correct
7 Correct 80 ms 196692 KB Output is correct
8 Correct 82 ms 196468 KB Output is correct
9 Correct 84 ms 196684 KB Output is correct
10 Correct 81 ms 196692 KB Output is correct
11 Correct 81 ms 196688 KB Output is correct
12 Correct 121 ms 196540 KB Output is correct
13 Correct 81 ms 196688 KB Output is correct
14 Correct 82 ms 196476 KB Output is correct
15 Correct 81 ms 196692 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 196684 KB Output is correct
2 Correct 96 ms 196620 KB Output is correct
3 Correct 86 ms 196596 KB Output is correct
4 Correct 80 ms 196624 KB Output is correct
5 Correct 83 ms 196692 KB Output is correct
6 Correct 85 ms 196688 KB Output is correct
7 Correct 78 ms 196688 KB Output is correct
8 Correct 85 ms 196504 KB Output is correct
9 Correct 90 ms 196472 KB Output is correct
10 Correct 102 ms 196636 KB Output is correct
11 Correct 80 ms 196692 KB Output is correct
12 Correct 79 ms 196692 KB Output is correct
13 Correct 83 ms 196692 KB Output is correct
14 Correct 85 ms 196476 KB Output is correct
15 Correct 86 ms 196688 KB Output is correct
16 Correct 90 ms 196688 KB Output is correct
17 Correct 88 ms 196692 KB Output is correct
18 Correct 98 ms 196524 KB Output is correct
19 Correct 86 ms 196632 KB Output is correct
20 Correct 96 ms 196732 KB Output is correct
21 Correct 105 ms 196736 KB Output is correct
22 Correct 91 ms 196692 KB Output is correct
23 Correct 176 ms 196536 KB Output is correct
24 Correct 310 ms 196692 KB Output is correct
25 Correct 146 ms 196776 KB Output is correct
26 Correct 172 ms 196616 KB Output is correct
27 Correct 268 ms 196692 KB Output is correct
28 Correct 141 ms 196688 KB Output is correct
29 Correct 193 ms 196688 KB Output is correct
30 Correct 360 ms 196692 KB Output is correct
31 Correct 354 ms 196688 KB Output is correct
32 Correct 368 ms 196768 KB Output is correct
33 Correct 361 ms 196692 KB Output is correct
34 Correct 423 ms 196944 KB Output is correct
35 Correct 435 ms 196692 KB Output is correct
36 Correct 234 ms 196576 KB Output is correct
37 Correct 259 ms 196644 KB Output is correct
38 Correct 242 ms 196688 KB Output is correct
39 Correct 110 ms 196688 KB Output is correct
40 Correct 193 ms 196692 KB Output is correct
41 Correct 87 ms 196660 KB Output is correct
42 Correct 117 ms 196652 KB Output is correct
43 Correct 160 ms 196800 KB Output is correct
44 Correct 109 ms 196688 KB Output is correct
45 Correct 353 ms 196712 KB Output is correct
46 Correct 359 ms 196688 KB Output is correct
47 Correct 361 ms 196692 KB Output is correct
48 Correct 345 ms 196688 KB Output is correct
49 Correct 444 ms 196644 KB Output is correct
50 Correct 418 ms 196688 KB Output is correct
51 Correct 319 ms 196608 KB Output is correct
52 Correct 183 ms 196680 KB Output is correct
53 Correct 110 ms 196592 KB Output is correct
54 Correct 89 ms 196556 KB Output is correct
55 Correct 87 ms 196560 KB Output is correct
56 Correct 91 ms 196688 KB Output is correct
57 Correct 184 ms 196692 KB Output is correct
58 Correct 105 ms 196692 KB Output is correct
59 Correct 268 ms 196688 KB Output is correct
60 Correct 349 ms 196612 KB Output is correct
61 Correct 368 ms 196948 KB Output is correct
62 Correct 377 ms 196688 KB Output is correct
63 Correct 377 ms 196692 KB Output is correct
64 Correct 424 ms 196724 KB Output is correct
65 Correct 416 ms 196816 KB Output is correct
66 Correct 77 ms 196688 KB Output is correct
67 Correct 81 ms 196632 KB Output is correct
68 Correct 80 ms 196696 KB Output is correct
69 Correct 81 ms 196692 KB Output is correct
70 Correct 81 ms 196688 KB Output is correct
71 Correct 79 ms 196516 KB Output is correct
72 Correct 80 ms 196692 KB Output is correct
73 Correct 82 ms 196468 KB Output is correct
74 Correct 84 ms 196684 KB Output is correct
75 Correct 81 ms 196692 KB Output is correct
76 Correct 81 ms 196688 KB Output is correct
77 Correct 121 ms 196540 KB Output is correct
78 Correct 81 ms 196688 KB Output is correct
79 Correct 82 ms 196476 KB Output is correct
80 Correct 81 ms 196692 KB Output is correct
81 Correct 296 ms 196688 KB Output is correct
82 Correct 130 ms 196688 KB Output is correct
83 Correct 171 ms 196684 KB Output is correct
84 Correct 141 ms 196692 KB Output is correct
85 Correct 168 ms 196688 KB Output is correct
86 Correct 151 ms 196688 KB Output is correct
87 Correct 94 ms 196728 KB Output is correct
88 Correct 90 ms 196688 KB Output is correct
89 Correct 111 ms 196688 KB Output is correct
90 Correct 343 ms 196668 KB Output is correct
91 Correct 340 ms 196692 KB Output is correct
92 Correct 329 ms 196692 KB Output is correct
93 Correct 350 ms 196688 KB Output is correct
94 Correct 335 ms 196696 KB Output is correct
95 Correct 347 ms 196684 KB Output is correct
96 Correct 339 ms 196692 KB Output is correct
97 Correct 340 ms 196948 KB Output is correct
98 Correct 381 ms 196692 KB Output is correct
99 Correct 396 ms 196812 KB Output is correct
100 Correct 383 ms 196620 KB Output is correct