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Submission #984887

# Submission time Handle Problem Language Result Execution time Memory
984887 2024-05-17T07:51:56 Z vjudge2 Bitaro's travel (JOI23_travel) C++17
100 / 100
 424 ms 72364 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
const int N = 200001;
const int lg = 19;

int lg2[N], mn[N][lg], mx[N][lg];

int query_min(int l, int r) {
    int j = lg2[r - l + 1];
    return min(mn[l][j], mn[r - (1 << j) + 1][j]);
}

int query_max(int l, int r) {
    int j = lg2[r - l + 1];
    return max(mx[l][j], mx[r - (1 << j) + 1][j]);
}

int32_t main() {
    ios::sync_with_stdio(0); cin.tie(0);
    int n, q;
    cin >> n;
    vector<int> x(n), ll(n), rr(n);
    for (int i = 0; i < n; i++) {
        cin >> x[i];
        ll[i] = rr[i] = i;
    }
    for (int i = 1; i < n; i++) {
        int dist = x[i] - x[i - 1];
        int l = i, r = n - 1;
        while (l < r) {
            int mid = (l + r + 1) / 2;
            if (x[mid] - x[i] < dist) l = mid;
            else r = mid - 1;
        }
        if (x[l] - x[i] < dist) rr[i - 1] = l; // if i'm going left to i - 1, rb must > l
    }
    for (int i = 0; i < n - 1; i++) {
        int dist = x[i + 1] - x[i];
        int l = 0, r = i;
        while (l < r) {
            int mid = (l + r) / 2;
            if (x[i] - x[mid] <= dist) r = mid;
            else l = mid + 1;
        }
        if (x[i] - x[l] <= dist) ll[i + 1] = l; // if i'm going right to i + 1, lb must < l
    }
    // for (int i = 0; i < n; i++) cout << ll[i] << ' ' << rr[i] << '\n';
    // lg2[1] = 0;
    for (int i = 2; i <= n; i++) lg2[i] = lg2[i / 2] + 1;
    for (int i = 0; i < n; i++) mx[i][0] = rr[i], mn[i][0] = ll[i];
    for (int j = 1; j < lg; j++) {
        for (int i = 0; i + (1 << j) - 1 < n; i++) {
            mn[i][j] = min(mn[i][j - 1], mn[i + (1 << (j - 1))][j - 1]);
            mx[i][j] = max(mx[i][j - 1], mx[i + (1 << (j - 1))][j - 1]);
        }
    }
    cin >> q;
    while (q--) {
        int s, ans = 0;
        cin >> s;
        int left = 0, lb, rb, cp;
        if (s >= x.back()) left = 1, lb = rb = n - 1, ans += s - x.back(), cp = n - 1;
        else if (s > x.front()) {
            auto it = lower_bound(x.begin(), x.end(), s);
            int prv, nxt;
            if ((*it) == s) {
                prv = *prev(it);
                nxt = *next(it);
                lb = rb = cp = it - x.begin();
            } else {
                prv = *prev(it);
                nxt = *it;
                if (s - prv <= nxt - s) lb = rb = cp = it - x.begin() - 1, ans += s - prv;
                else lb = rb = cp = it - x.begin(), ans += nxt - s;
            }
            if (lb == 0) left = 1;
            else if (rb == n - 1) left = 0;
            else {
                prv = x[lb - 1];
                nxt = x[rb + 1];
                if (x[cp] - prv <= nxt - x[cp]) left = 0;
                else left = 1;
            }
        } else lb = rb = 0, ans += x.front() - s, cp = 0;
        // cout << "ans:" << lb << ' ' << rb << ' ' << ans << '\n';
        for (int ti = 0; ti < (lg << 1); ti++) {
            left ^= 1;
            if (lb <= 0 && rb > n) break;
            if (left && lb > 0) {
                int l = 0, r = lb - 1;
                while (l < r) {
                    int mid = (l + r) / 2;
                    if (rb >= query_max(mid, lb - 1)) r = mid;
                    else l = mid + 1;
                }
                ans += abs(x[cp] - x[l]);
                lb = cp = l;
                // cout << "ans:" << lb << ' ' << rb << ' ' << ans << '\n';
            } else if (!left && rb < n - 1) {
                int l = rb + 1, r = n - 1;
                while (l < r) {
                    int mid = (l + r + 1) / 2;
                    if (lb <= query_min(rb + 1, mid)) l = mid;
                    else r = mid - 1;
                }
                ans += abs(x[l] - x[cp]);
                rb = cp = l;
                // cout << "ans:" << lb << ' ' << rb << ' ' << ans << '\n';
            }
            // cout << "iter\n";
        }
        // cout << "final ans:" << lb << ' ' << rb << ' ' << ans << '\n';
        cout << ans << '\n';
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4696 KB Output is correct
7 Correct 1 ms 4700 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 4628 KB Output is correct
15 Correct 3 ms 4696 KB Output is correct
16 Correct 2 ms 4700 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4696 KB Output is correct
7 Correct 1 ms 4700 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 4628 KB Output is correct
15 Correct 3 ms 4696 KB Output is correct
16 Correct 2 ms 4700 KB Output is correct
17 Correct 98 ms 68148 KB Output is correct
18 Correct 81 ms 67920 KB Output is correct
19 Correct 80 ms 68136 KB Output is correct
20 Correct 76 ms 68128 KB Output is correct
21 Correct 78 ms 67996 KB Output is correct
22 Correct 77 ms 67920 KB Output is correct
23 Correct 75 ms 67980 KB Output is correct
24 Correct 81 ms 68176 KB Output is correct
25 Correct 79 ms 68140 KB Output is correct
26 Correct 79 ms 68148 KB Output is correct
27 Correct 82 ms 68140 KB Output is correct
28 Correct 86 ms 68152 KB Output is correct
29 Correct 79 ms 67984 KB Output is correct
30 Correct 76 ms 68084 KB Output is correct
31 Correct 78 ms 68088 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 249 ms 67412 KB Output is correct
8 Correct 213 ms 69972 KB Output is correct
9 Correct 261 ms 70052 KB Output is correct
10 Correct 215 ms 69972 KB Output is correct
11 Correct 258 ms 70196 KB Output is correct
12 Correct 211 ms 69972 KB Output is correct
13 Correct 37 ms 6192 KB Output is correct
14 Correct 29 ms 3664 KB Output is correct
15 Correct 200 ms 71148 KB Output is correct
16 Correct 192 ms 70996 KB Output is correct
17 Correct 199 ms 71324 KB Output is correct
18 Correct 36 ms 6224 KB Output is correct

Subtask #4
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4696 KB Output is correct
7 Correct 1 ms 4700 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 4628 KB Output is correct
15 Correct 3 ms 4696 KB Output is correct
16 Correct 2 ms 4700 KB Output is correct
17 Correct 98 ms 68148 KB Output is correct
18 Correct 81 ms 67920 KB Output is correct
19 Correct 80 ms 68136 KB Output is correct
20 Correct 76 ms 68128 KB Output is correct
21 Correct 78 ms 67996 KB Output is correct
22 Correct 77 ms 67920 KB Output is correct
23 Correct 75 ms 67980 KB Output is correct
24 Correct 81 ms 68176 KB Output is correct
25 Correct 79 ms 68140 KB Output is correct
26 Correct 79 ms 68148 KB Output is correct
27 Correct 82 ms 68140 KB Output is correct
28 Correct 86 ms 68152 KB Output is correct
29 Correct 79 ms 67984 KB Output is correct
30 Correct 76 ms 68084 KB Output is correct
31 Correct 78 ms 68088 KB Output is correct
32 Correct 0 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 0 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2392 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 249 ms 67412 KB Output is correct
39 Correct 213 ms 69972 KB Output is correct
40 Correct 261 ms 70052 KB Output is correct
41 Correct 215 ms 69972 KB Output is correct
42 Correct 258 ms 70196 KB Output is correct
43 Correct 211 ms 69972 KB Output is correct
44 Correct 37 ms 6192 KB Output is correct
45 Correct 29 ms 3664 KB Output is correct
46 Correct 200 ms 71148 KB Output is correct
47 Correct 192 ms 70996 KB Output is correct
48 Correct 199 ms 71324 KB Output is correct
49 Correct 36 ms 6224 KB Output is correct
50 Correct 424 ms 72284 KB Output is correct
51 Correct 384 ms 72276 KB Output is correct
52 Correct 372 ms 72364 KB Output is correct
53 Correct 290 ms 72172 KB Output is correct
54 Correct 290 ms 72324 KB Output is correct
55 Correct 278 ms 72180 KB Output is correct
56 Correct 171 ms 72216 KB Output is correct
57 Correct 150 ms 72020 KB Output is correct
58 Correct 159 ms 72100 KB Output is correct