Submission #680903

# Submission time Handle Problem Language Result Execution time Memory
680903 2023-01-12T02:12:00 Z DennisTran Visiting Singapore (NOI20_visitingsingapore) C++17
100 / 100
387 ms 196640 KB
#pragma GCC optimize("O2")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FOD(i, a, b) for (int i = (a); i >= (b); i--)
#define REP(i, n) for (int i = 0; i < (n); i++)
#define ALL(x) (x).begin(), (x).end()
#define TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define file(name)  if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define int long long
using namespace std;

const int MAXN = 5005;
const long long INF = 0x3f3f3f3f3f3f3f3f;

int K, N, M, v[MAXN], s[MAXN], t[MAXN];
long long dp[MAXN], Max[MAXN][MAXN], Ord[MAXN], prv[MAXN];
long long A, B;

signed main(void) {
    ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
    //file("TASK");
    cin >> K >> N >> M >> A >> B;
    FOR(i, 1, K) cin >> v[i];
    FOR(i, 1, N) cin >> s[i];
    FOR(i, 1, M) cin >> t[i];

    memset(dp, -INF, sizeof dp);
    memset(Max, -INF, sizeof Max);
    memset(Ord, -INF, sizeof Ord);
    dp[0] = 0;
    long long ans = A + M * B;
    FOR(i, 1, N) {
        FOR(j, 0, M) prv[j] = dp[j];
        FOR(j, 0, M) dp[j] = -INF;
        long long cur = -INF;
        FOR(j, 1, M) {
            if (s[i] == t[j]) {
                dp[j] = prv[j - 1] + v[t[j]];
                if (i >= 2 && j >= 2)
                    dp[j] = max(dp[j], Max[i - 2][j - 2] + v[t[j]] + B * (i + j) + 2 * (A - B));
                if (j >= 2)
                    dp[j] = max(dp[j], cur + v[t[j]] + B * j + A - B);
                if (i >= 2)
                    dp[j] = max(dp[j], Ord[j - 1] + v[t[j]] + B * i + A - B);
                 dp[j] = max(dp[j], v[t[j]] + (j > 1) * A + (j - 1) * B);
            }

            Max[i][j] = dp[j] - B *(i + j);
            Max[i][j] = max(Max[i][j], Max[i - 1][j]);
            Max[i][j] = max(Max[i][j], Max[i][j - 1]);
            if (j >= 1) cur = max(cur, prv[j - 1] - (j - 1) * B);
            //Ord[i][j] = dp[i][j] - i * B;
            //Ord[i][j] = max(Ord[i][j], Ord[i - 1][j]);
            if (dp[j] != -INF)
                ans = max(ans, dp[j] + (M > j) * A + (M - j) * B);
        }
        if (i >= 1) {
            FOR(j, 1, M) {
                Ord[j] = max(Ord[j], prv[j] - (i - 1) * B);
            }
        }

    }
    //FOR(i, 1, N) FOR(j, 1, M) cout << dp[i][j] << " \n" [j == M];
    cout << ans;
    cerr << "Time elapsed: " << TIME << " s.\n";
    return (0 ^ 0);
}

Compilation message

VisitingSingapore.cpp: In function 'int main()':
VisitingSingapore.cpp:28:16: warning: overflow in conversion from 'long long int' to 'int' changes value from '-4557430888798830399' to '-1061109567' [-Woverflow]
   28 |     memset(dp, -INF, sizeof dp);
      |                ^~~~
VisitingSingapore.cpp:29:17: warning: overflow in conversion from 'long long int' to 'int' changes value from '-4557430888798830399' to '-1061109567' [-Woverflow]
   29 |     memset(Max, -INF, sizeof Max);
      |                 ^~~~
VisitingSingapore.cpp:30:17: warning: overflow in conversion from 'long long int' to 'int' changes value from '-4557430888798830399' to '-1061109567' [-Woverflow]
   30 |     memset(Ord, -INF, sizeof Ord);
      |                 ^~~~
# Verdict Execution time Memory Grader output
1 Correct 87 ms 196440 KB Output is correct
2 Correct 81 ms 196476 KB Output is correct
3 Correct 71 ms 196452 KB Output is correct
4 Correct 70 ms 196392 KB Output is correct
5 Correct 69 ms 196420 KB Output is correct
6 Correct 87 ms 196412 KB Output is correct
7 Correct 71 ms 196360 KB Output is correct
8 Correct 72 ms 196592 KB Output is correct
9 Correct 76 ms 196464 KB Output is correct
10 Correct 81 ms 196464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 70 ms 196384 KB Output is correct
2 Correct 83 ms 196476 KB Output is correct
3 Correct 87 ms 196440 KB Output is correct
4 Correct 76 ms 196376 KB Output is correct
5 Correct 76 ms 196392 KB Output is correct
6 Correct 77 ms 196420 KB Output is correct
7 Correct 77 ms 196556 KB Output is correct
8 Correct 79 ms 196476 KB Output is correct
9 Correct 82 ms 196476 KB Output is correct
10 Correct 83 ms 196428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 85 ms 196428 KB Output is correct
2 Correct 90 ms 196412 KB Output is correct
3 Correct 120 ms 196456 KB Output is correct
4 Correct 168 ms 196600 KB Output is correct
5 Correct 103 ms 196496 KB Output is correct
6 Correct 119 ms 196556 KB Output is correct
7 Correct 158 ms 196580 KB Output is correct
8 Correct 96 ms 196536 KB Output is correct
9 Correct 121 ms 196572 KB Output is correct
10 Correct 192 ms 196588 KB Output is correct
11 Correct 191 ms 196556 KB Output is correct
12 Correct 189 ms 196532 KB Output is correct
13 Correct 212 ms 196600 KB Output is correct
14 Correct 342 ms 196564 KB Output is correct
15 Correct 336 ms 196620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 85 ms 196428 KB Output is correct
2 Correct 90 ms 196412 KB Output is correct
3 Correct 120 ms 196456 KB Output is correct
4 Correct 168 ms 196600 KB Output is correct
5 Correct 103 ms 196496 KB Output is correct
6 Correct 119 ms 196556 KB Output is correct
7 Correct 158 ms 196580 KB Output is correct
8 Correct 96 ms 196536 KB Output is correct
9 Correct 121 ms 196572 KB Output is correct
10 Correct 192 ms 196588 KB Output is correct
11 Correct 191 ms 196556 KB Output is correct
12 Correct 189 ms 196532 KB Output is correct
13 Correct 212 ms 196600 KB Output is correct
14 Correct 342 ms 196564 KB Output is correct
15 Correct 336 ms 196620 KB Output is correct
16 Correct 166 ms 196600 KB Output is correct
17 Correct 146 ms 196500 KB Output is correct
18 Correct 149 ms 196600 KB Output is correct
19 Correct 88 ms 196544 KB Output is correct
20 Correct 147 ms 196572 KB Output is correct
21 Correct 74 ms 196400 KB Output is correct
22 Correct 86 ms 196480 KB Output is correct
23 Correct 110 ms 196576 KB Output is correct
24 Correct 87 ms 196528 KB Output is correct
25 Correct 194 ms 196636 KB Output is correct
26 Correct 241 ms 196636 KB Output is correct
27 Correct 198 ms 196624 KB Output is correct
28 Correct 198 ms 196620 KB Output is correct
29 Correct 387 ms 196612 KB Output is correct
30 Correct 325 ms 196612 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 85 ms 196428 KB Output is correct
2 Correct 90 ms 196412 KB Output is correct
3 Correct 120 ms 196456 KB Output is correct
4 Correct 168 ms 196600 KB Output is correct
5 Correct 103 ms 196496 KB Output is correct
6 Correct 119 ms 196556 KB Output is correct
7 Correct 158 ms 196580 KB Output is correct
8 Correct 96 ms 196536 KB Output is correct
9 Correct 121 ms 196572 KB Output is correct
10 Correct 192 ms 196588 KB Output is correct
11 Correct 191 ms 196556 KB Output is correct
12 Correct 189 ms 196532 KB Output is correct
13 Correct 212 ms 196600 KB Output is correct
14 Correct 342 ms 196564 KB Output is correct
15 Correct 336 ms 196620 KB Output is correct
16 Correct 204 ms 196524 KB Output is correct
17 Correct 134 ms 196556 KB Output is correct
18 Correct 90 ms 196428 KB Output is correct
19 Correct 75 ms 196396 KB Output is correct
20 Correct 73 ms 196504 KB Output is correct
21 Correct 79 ms 196492 KB Output is correct
22 Correct 139 ms 196588 KB Output is correct
23 Correct 97 ms 196520 KB Output is correct
24 Correct 160 ms 196556 KB Output is correct
25 Correct 219 ms 196640 KB Output is correct
26 Correct 218 ms 196620 KB Output is correct
27 Correct 207 ms 196516 KB Output is correct
28 Correct 213 ms 196624 KB Output is correct
29 Correct 363 ms 196620 KB Output is correct
30 Correct 378 ms 196612 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 196452 KB Output is correct
2 Correct 89 ms 196428 KB Output is correct
3 Correct 86 ms 196356 KB Output is correct
4 Correct 84 ms 196484 KB Output is correct
5 Correct 84 ms 196480 KB Output is correct
6 Correct 84 ms 196448 KB Output is correct
7 Correct 81 ms 196376 KB Output is correct
8 Correct 79 ms 196424 KB Output is correct
9 Correct 89 ms 196400 KB Output is correct
10 Correct 81 ms 196400 KB Output is correct
11 Correct 82 ms 196428 KB Output is correct
12 Correct 77 ms 196420 KB Output is correct
13 Correct 82 ms 196480 KB Output is correct
14 Correct 80 ms 196380 KB Output is correct
15 Correct 82 ms 196424 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 87 ms 196440 KB Output is correct
2 Correct 81 ms 196476 KB Output is correct
3 Correct 71 ms 196452 KB Output is correct
4 Correct 70 ms 196392 KB Output is correct
5 Correct 69 ms 196420 KB Output is correct
6 Correct 87 ms 196412 KB Output is correct
7 Correct 71 ms 196360 KB Output is correct
8 Correct 72 ms 196592 KB Output is correct
9 Correct 76 ms 196464 KB Output is correct
10 Correct 81 ms 196464 KB Output is correct
11 Correct 70 ms 196384 KB Output is correct
12 Correct 83 ms 196476 KB Output is correct
13 Correct 87 ms 196440 KB Output is correct
14 Correct 76 ms 196376 KB Output is correct
15 Correct 76 ms 196392 KB Output is correct
16 Correct 77 ms 196420 KB Output is correct
17 Correct 77 ms 196556 KB Output is correct
18 Correct 79 ms 196476 KB Output is correct
19 Correct 82 ms 196476 KB Output is correct
20 Correct 83 ms 196428 KB Output is correct
21 Correct 85 ms 196428 KB Output is correct
22 Correct 90 ms 196412 KB Output is correct
23 Correct 120 ms 196456 KB Output is correct
24 Correct 168 ms 196600 KB Output is correct
25 Correct 103 ms 196496 KB Output is correct
26 Correct 119 ms 196556 KB Output is correct
27 Correct 158 ms 196580 KB Output is correct
28 Correct 96 ms 196536 KB Output is correct
29 Correct 121 ms 196572 KB Output is correct
30 Correct 192 ms 196588 KB Output is correct
31 Correct 191 ms 196556 KB Output is correct
32 Correct 189 ms 196532 KB Output is correct
33 Correct 212 ms 196600 KB Output is correct
34 Correct 342 ms 196564 KB Output is correct
35 Correct 336 ms 196620 KB Output is correct
36 Correct 166 ms 196600 KB Output is correct
37 Correct 146 ms 196500 KB Output is correct
38 Correct 149 ms 196600 KB Output is correct
39 Correct 88 ms 196544 KB Output is correct
40 Correct 147 ms 196572 KB Output is correct
41 Correct 74 ms 196400 KB Output is correct
42 Correct 86 ms 196480 KB Output is correct
43 Correct 110 ms 196576 KB Output is correct
44 Correct 87 ms 196528 KB Output is correct
45 Correct 194 ms 196636 KB Output is correct
46 Correct 241 ms 196636 KB Output is correct
47 Correct 198 ms 196624 KB Output is correct
48 Correct 198 ms 196620 KB Output is correct
49 Correct 387 ms 196612 KB Output is correct
50 Correct 325 ms 196612 KB Output is correct
51 Correct 204 ms 196524 KB Output is correct
52 Correct 134 ms 196556 KB Output is correct
53 Correct 90 ms 196428 KB Output is correct
54 Correct 75 ms 196396 KB Output is correct
55 Correct 73 ms 196504 KB Output is correct
56 Correct 79 ms 196492 KB Output is correct
57 Correct 139 ms 196588 KB Output is correct
58 Correct 97 ms 196520 KB Output is correct
59 Correct 160 ms 196556 KB Output is correct
60 Correct 219 ms 196640 KB Output is correct
61 Correct 218 ms 196620 KB Output is correct
62 Correct 207 ms 196516 KB Output is correct
63 Correct 213 ms 196624 KB Output is correct
64 Correct 363 ms 196620 KB Output is correct
65 Correct 378 ms 196612 KB Output is correct
66 Correct 83 ms 196452 KB Output is correct
67 Correct 89 ms 196428 KB Output is correct
68 Correct 86 ms 196356 KB Output is correct
69 Correct 84 ms 196484 KB Output is correct
70 Correct 84 ms 196480 KB Output is correct
71 Correct 84 ms 196448 KB Output is correct
72 Correct 81 ms 196376 KB Output is correct
73 Correct 79 ms 196424 KB Output is correct
74 Correct 89 ms 196400 KB Output is correct
75 Correct 81 ms 196400 KB Output is correct
76 Correct 82 ms 196428 KB Output is correct
77 Correct 77 ms 196420 KB Output is correct
78 Correct 82 ms 196480 KB Output is correct
79 Correct 80 ms 196380 KB Output is correct
80 Correct 82 ms 196424 KB Output is correct
81 Correct 188 ms 196624 KB Output is correct
82 Correct 102 ms 196552 KB Output is correct
83 Correct 120 ms 196592 KB Output is correct
84 Correct 103 ms 196568 KB Output is correct
85 Correct 138 ms 196516 KB Output is correct
86 Correct 126 ms 196568 KB Output is correct
87 Correct 101 ms 196432 KB Output is correct
88 Correct 86 ms 196460 KB Output is correct
89 Correct 95 ms 196536 KB Output is correct
90 Correct 272 ms 196608 KB Output is correct
91 Correct 216 ms 196548 KB Output is correct
92 Correct 208 ms 196632 KB Output is correct
93 Correct 217 ms 196636 KB Output is correct
94 Correct 232 ms 196620 KB Output is correct
95 Correct 207 ms 196612 KB Output is correct
96 Correct 215 ms 196544 KB Output is correct
97 Correct 215 ms 196624 KB Output is correct
98 Correct 374 ms 196616 KB Output is correct
99 Correct 373 ms 196612 KB Output is correct
100 Correct 351 ms 196608 KB Output is correct