QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#69367#4590. Happy TravellingkarunaTL 557ms8284kbC++172.0kb2022-12-26 21:58:342022-12-26 21:58:36

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-12-26 21:58:36]
  • 评测
  • 测评结果:TL
  • 用时:557ms
  • 内存:8284kb
  • [2022-12-26 21:58:34]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const ll INF = 1e18 + 10;
const int N = 101010;
const int S = 300;

int n, k, d, a[N], t[N], off[N];
ll dp[N];

struct SEG {
    ll tree[N * 8];
    
    void update(int a, ll v, int l, int r, int x) {
        if (l == r) {
            tree[x] += v;
            return;
        }
        int m = (l + r) / 2;
        if (a <= m) {
            update(a, v, l, m, 2 * x);
        }
        else update(a, v, m + 1, r, 2 * x + 1);
        tree[x] = max(tree[2 * x], tree[2 * x + 1]);
    }
    ll query(int a, int b, int l, int r, int x) {
        if (b < l || a > r) return -INF;
        if (a <= l && r <= b) return tree[x];
        int m = (l + r) / 2;
        return max(query(a, b, l, m, 2 * x), query(a, b, m + 1, r, 2 * x + 1));
    }
} t1;

int main() {
    cin.tie(0); ios_base::sync_with_stdio(0);
    cin >> n >> k >> d;
    for (int i = n; i >= 1; i--) cin >> a[i];
    for (int i = n; i >= 1; i--) cin >> t[i];

    dp[1] = a[1];
    fill(dp + 2, dp + 1 + n, -INF);
    if (k > S) {
        for (int i = 1; i <= n; i++) {
            for (int j = i - k; j >= 1; j -= k) {
                t1.update(j, -d, 1, n, 1);
            }
            if (i != 1) {
                dp[i] = a[i] + t1.query(i - t[i], i - 1, 1, n, 1);
            }
            t1.update(i, dp[i], 1, n, 1);
        }
    }
    else {
        int q = (n + k - 1) / k;
        for (int i = 1; i <= n; i++) {
            int r = (i - 1) / k;
            int s = (i - 1) % k;
            if (r) off[s] -= d;
            if (i != 1) {
                for (int j = 0; j < min(i - 1, k); j++) {
                    int l = (i - j - t[i] + k - 2) / k;
                    int r = (i - j - 2) / k;

                    dp[i] = max(dp[i], a[i] + off[j] + t1.query(j * q + l + 1, j * q + r + 1, 1, q * k, 1));
                }
            }
            t1.update(q * s + r + 1, dp[i] + r * d, 1, q * k, 1);
        }
    }
    cout << dp[n];
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5328kb

input:

6 2 1
8 -7 -8 9 0 2
5 3 3 2 1

output:

18

result:

ok single line: '18'

Test #2:

score: 0
Accepted
time: 3ms
memory: 5360kb

input:

8 8 8
10 -5 -5 -5 -5 -5 -5 10
5 2 5 3 2 1 1

output:

15

result:

ok single line: '15'

Test #3:

score: 0
Accepted
time: 0ms
memory: 5544kb

input:

13 2 2
-5 -4 -4 -1 7 -6 -5 -4 -3 -2 -1 5 -7
3 10 9 8 7 6 5 4 3 2 1 1

output:

-9

result:

ok single line: '-9'

Test #4:

score: 0
Accepted
time: 2ms
memory: 5464kb

input:

2 1 0
-10000 10000
1

output:

0

result:

ok single line: '0'

Test #5:

score: 0
Accepted
time: 73ms
memory: 7616kb

input:

98987 4 3
-8225 -8961 -5537 -5621 -8143 -5214 -5538 -6912 -6601 -8839 -7872 -7867 -9553 -9793 -7333 -7360 -5820 -7459 -8824 -9716 -9757 -5846 -5300 -5912 -7953 -8360 -7609 -5937 -5525 -9748 -7326 -8311 -9979 -9292 -8542 -7589 -7939 -5914 -7985 -9999 -9212 -8274 -8084 -6620 -5991 -7826 -6327 -5228 -6...

output:

-84108

result:

ok single line: '-84108'

Test #6:

score: 0
Accepted
time: 43ms
memory: 8284kb

input:

98467 2 3
-5677 -9080 -6665 -5838 -5755 -8938 -6286 -5160 -7147 -8370 -8214 -6088 -9763 -5183 -7123 -7264 -5298 -8855 -6381 -6592 -9216 -8429 -9598 -7443 -7393 -8712 -5545 -6778 -6010 -5717 -9102 -7968 -6140 -9592 -7917 -5217 -5015 -7798 -9339 -5678 -7073 -7607 -7961 -6185 -9941 -6421 -8779 -5388 -8...

output:

-150169

result:

ok single line: '-150169'

Test #7:

score: 0
Accepted
time: 49ms
memory: 7972kb

input:

96173 2 1
-6463 -9099 -6269 -6169 -8273 -9839 -9929 -5447 -5908 -6884 -6908 -8359 -6477 -9414 -9207 -8180 -6264 -9293 -8981 -6557 -9260 -9700 -6785 -7121 -8382 -9712 -5178 -5821 -9107 -9004 -7472 -9306 -9311 -7160 -7965 -5394 -8048 -7415 -5233 -7746 -7390 -5298 -7721 -7915 -9646 -5371 -5712 -6234 -5...

output:

-45780

result:

ok single line: '-45780'

Test #8:

score: 0
Accepted
time: 34ms
memory: 8180kb

input:

96905 1 1
-7933 -5685 -6201 -5415 -7294 -9904 -8968 -8433 -6287 -6727 -5933 -5418 -8953 -6743 -7057 -7087 -7244 -5302 -5130 -8934 -5053 -9811 -8695 -5989 -7785 -5991 -8351 -9463 -7037 -8867 -8956 -8194 -5272 -6270 -7737 -7793 -8851 -5839 -5178 -7009 -8018 -7375 -6091 -9226 -7117 -9522 -9248 -6036 -8...

output:

-72336

result:

ok single line: '-72336'

Test #9:

score: 0
Accepted
time: 36ms
memory: 7488kb

input:

97070 2 1
-6843 -9736 -7145 -9801 -6733 -7807 -8835 -5776 -6971 -7101 -8428 -7429 -9250 -9405 -6152 -7904 -5761 -8347 -6597 -8875 -8741 -7759 -8905 -9136 -8820 -9272 -9124 -6384 -7302 -5351 -8660 -5499 -9551 -9598 -9332 -7226 -5354 -9753 -7657 -5512 -7806 -5845 -5320 -9052 -8654 -9068 -5744 -7548 -7...

output:

-52581

result:

ok single line: '-52581'

Test #10:

score: 0
Accepted
time: 31ms
memory: 7984kb

input:

95643 95643 0
-5396 -7667 -7724 -8395 -5929 -5814 -6879 -7612 -6487 -5657 -6266 -7551 -8950 -6584 -5148 -7025 -7570 -6296 -6031 -7598 -5852 -5859 -7943 -6304 -6896 -5652 -9303 -5869 -9073 -6843 -7438 -6428 -8896 -5239 -7793 -6730 -7331 -7202 -8118 -9344 -8450 -8315 -8402 -8705 -5246 -9043 -7347 -872...

output:

-13774

result:

ok single line: '-13774'

Test #11:

score: 0
Accepted
time: 27ms
memory: 7752kb

input:

100000 99999 476
-109 -1014 -1404 -1837 -712 -1500 -1760 -751 184 -333 -860 -418 -1676 -1499 -1506 -456 -1692 -1473 -1872 -1523 -599 461 -583 -1685 -94 121 53 -385 192 -562 -1169 220 366 -746 -584 -1395 325 -502 98 -1773 -293 -72 -1894 -449 416 -1001 -1350 -1842 -1279 -528 323 -1196 32 -83 -1112 410...

output:

4735350

result:

ok single line: '4735350'

Test #12:

score: 0
Accepted
time: 557ms
memory: 7832kb

input:

93009 101 191
-278 -103 -706 -686 -521 -375 -330 -183 -381 -91 -686 -683 -89 -448 -724 -71 -374 -470 -214 -475 -505 -599 -108 -157 -199 -541 -509 -477 -62 -96 -415 -49 -524 -93 -230 -745 -561 -47 -451 -165 -763 -461 -357 -555 -757 -52 -246 -297 -145 -599 -36 -366 -157 -200 -38 -344 -105 -509 -54 -41...

output:

1532

result:

ok single line: '1532'

Test #13:

score: -100
Time Limit Exceeded

input:

97621 313 252
-459 -973 -853 -287 -579 -817 -629 -187 -509 -814 -628 -742 -369 -503 -519 -213 -393 -708 -776 -222 -147 -760 -558 -926 -439 -437 -729 -16 -932 -964 -508 -809 -434 -186 -440 -142 -828 -11 -521 -282 -718 -976 -832 -760 -574 -461 -432 -219 -182 -2 -27 -638 -598 -800 -907 -510 -127 -429 -...

output:


result: