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Submission #413797

# Submission time Handle Problem Language Result Execution time Memory
413797 2021-05-29T13:47:36 Z Tc14 The short shank; Redemption (BOI21_prison) C++17
100 / 100
 1715 ms 90596 KB 
//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ve vector
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 1e9 + 10;
const ll LLINF = (ll)1e18 + 10;

int n, d, t;
ve<int> T;

struct value {
    int pos;
    int inc;
    pll min;
    pll seg;
};

pll calcDP(ll lambda) {

    stack<value> U;
    pll seg;

    U.push({-1, 0, {LLINF, -1}, {LLINF, -1}});

    if (T[n - 1] > t) {
        U.push({n - 1, 0, {0, 0}, {0, 0}});
        seg = {LLINF, 0};
    }
    else seg = {1, 0};

    for (int i = n - 2; i >= 0; i--) {

        pll m = min(seg, U.top().min);
        pll v = m;

        v.first += lambda;
        v.second++;
        seg = min(seg, v);

        if (T[i] > t) {
            U.push({i, 0, m, seg});
            seg = {LLINF, 0};
        }
        else {

            int diff = t - T[i];

            seg.first++;
            U.top().inc++;
            U.top().min.first++;
            U.top().seg.first++;

            while (U.size() > 1 && (U.top().pos - i) <= diff) {

                U.top().seg.first++;
                seg = min(seg, U.top().seg);
                int inc = U.top().inc + 1;

                U.pop();

                U.top().inc += inc;
                U.top().min.first += inc;
                U.top().seg.first += inc;
            }
        }
    }

    return min(seg, U.top().min);
}

int main() {

    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    cin >> n >> d >> t;
    T = ve<int>(n);

    for (int i = 0; i < n; i++) {
        cin >> T[i];
    }

    ll lo = 0;
    ll hi = 4e6;
    ll c, x;

    while (lo != hi) {

        ll mi = (lo + hi) / 2;

        x = calcDP(mi).second;

        if (x > d) lo = mi + 1;
        else hi = mi;
    }

    tie(c, x) = calcDP(lo);

    cout << c - d * lo << endl;

    return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 2 ms 312 KB Output is correct
11 Correct 1 ms 204 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 308 KB Output is correct
2 Correct 261 ms 7128 KB Output is correct
3 Correct 225 ms 6980 KB Output is correct
4 Correct 273 ms 6856 KB Output is correct
5 Correct 327 ms 4804 KB Output is correct
6 Correct 432 ms 13816 KB Output is correct
7 Correct 418 ms 26952 KB Output is correct
8 Correct 390 ms 12464 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 2 ms 312 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 316 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 308 KB Output is correct
20 Correct 1 ms 268 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 3 ms 332 KB Output is correct
25 Correct 4 ms 332 KB Output is correct
26 Correct 3 ms 368 KB Output is correct
27 Correct 4 ms 368 KB Output is correct
28 Correct 3 ms 332 KB Output is correct
29 Correct 3 ms 332 KB Output is correct
30 Correct 3 ms 332 KB Output is correct
31 Correct 4 ms 332 KB Output is correct
32 Correct 3 ms 332 KB Output is correct
33 Correct 4 ms 344 KB Output is correct
34 Correct 4 ms 344 KB Output is correct
35 Correct 3 ms 328 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 45 ms 1216 KB Output is correct
3 Correct 43 ms 1228 KB Output is correct
4 Correct 57 ms 2624 KB Output is correct
5 Correct 52 ms 3412 KB Output is correct
6 Correct 63 ms 3420 KB Output is correct
7 Correct 62 ms 2600 KB Output is correct
8 Correct 61 ms 2780 KB Output is correct
9 Correct 62 ms 4236 KB Output is correct
10 Correct 40 ms 1424 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 2 ms 312 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 316 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 308 KB Output is correct
20 Correct 1 ms 268 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 3 ms 332 KB Output is correct
25 Correct 4 ms 332 KB Output is correct
26 Correct 3 ms 368 KB Output is correct
27 Correct 4 ms 368 KB Output is correct
28 Correct 3 ms 332 KB Output is correct
29 Correct 3 ms 332 KB Output is correct
30 Correct 3 ms 332 KB Output is correct
31 Correct 4 ms 332 KB Output is correct
32 Correct 3 ms 332 KB Output is correct
33 Correct 4 ms 344 KB Output is correct
34 Correct 4 ms 344 KB Output is correct
35 Correct 3 ms 328 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 45 ms 1216 KB Output is correct
38 Correct 43 ms 1228 KB Output is correct
39 Correct 57 ms 2624 KB Output is correct
40 Correct 52 ms 3412 KB Output is correct
41 Correct 63 ms 3420 KB Output is correct
42 Correct 62 ms 2600 KB Output is correct
43 Correct 61 ms 2780 KB Output is correct
44 Correct 62 ms 4236 KB Output is correct
45 Correct 40 ms 1424 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 204 KB Output is correct
48 Correct 1 ms 316 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 1 ms 316 KB Output is correct
52 Correct 1 ms 204 KB Output is correct
53 Correct 1 ms 204 KB Output is correct
54 Correct 2 ms 204 KB Output is correct
55 Correct 1 ms 204 KB Output is correct
56 Correct 1 ms 316 KB Output is correct
57 Correct 4 ms 332 KB Output is correct
58 Correct 4 ms 320 KB Output is correct
59 Correct 3 ms 332 KB Output is correct
60 Correct 4 ms 332 KB Output is correct
61 Correct 3 ms 324 KB Output is correct
62 Correct 3 ms 332 KB Output is correct
63 Correct 3 ms 324 KB Output is correct
64 Correct 4 ms 332 KB Output is correct
65 Correct 3 ms 348 KB Output is correct
66 Correct 4 ms 324 KB Output is correct
67 Correct 3 ms 332 KB Output is correct
68 Correct 4 ms 332 KB Output is correct
69 Correct 3 ms 332 KB Output is correct
70 Correct 1 ms 204 KB Output is correct
71 Correct 46 ms 1236 KB Output is correct
72 Correct 41 ms 1352 KB Output is correct
73 Correct 61 ms 2652 KB Output is correct
74 Correct 51 ms 3420 KB Output is correct
75 Correct 52 ms 3452 KB Output is correct
76 Correct 71 ms 2440 KB Output is correct
77 Correct 64 ms 2620 KB Output is correct
78 Correct 65 ms 4220 KB Output is correct
79 Correct 40 ms 1356 KB Output is correct
80 Correct 41 ms 1336 KB Output is correct
81 Correct 45 ms 1352 KB Output is correct
82 Correct 41 ms 1228 KB Output is correct
83 Correct 55 ms 1640 KB Output is correct
84 Correct 50 ms 1092 KB Output is correct
85 Correct 55 ms 3392 KB Output is correct
86 Correct 58 ms 2308 KB Output is correct
87 Correct 58 ms 2400 KB Output is correct
88 Correct 60 ms 4068 KB Output is correct
89 Correct 63 ms 4176 KB Output is correct
90 Correct 52 ms 3020 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 2 ms 312 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 308 KB Output is correct
13 Correct 261 ms 7128 KB Output is correct
14 Correct 225 ms 6980 KB Output is correct
15 Correct 273 ms 6856 KB Output is correct
16 Correct 327 ms 4804 KB Output is correct
17 Correct 432 ms 13816 KB Output is correct
18 Correct 418 ms 26952 KB Output is correct
19 Correct 390 ms 12464 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 316 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 316 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 308 KB Output is correct
28 Correct 1 ms 268 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 3 ms 332 KB Output is correct
32 Correct 3 ms 332 KB Output is correct
33 Correct 4 ms 332 KB Output is correct
34 Correct 3 ms 368 KB Output is correct
35 Correct 4 ms 368 KB Output is correct
36 Correct 3 ms 332 KB Output is correct
37 Correct 3 ms 332 KB Output is correct
38 Correct 3 ms 332 KB Output is correct
39 Correct 4 ms 332 KB Output is correct
40 Correct 3 ms 332 KB Output is correct
41 Correct 4 ms 344 KB Output is correct
42 Correct 4 ms 344 KB Output is correct
43 Correct 3 ms 328 KB Output is correct
44 Correct 1 ms 204 KB Output is correct
45 Correct 45 ms 1216 KB Output is correct
46 Correct 43 ms 1228 KB Output is correct
47 Correct 57 ms 2624 KB Output is correct
48 Correct 52 ms 3412 KB Output is correct
49 Correct 63 ms 3420 KB Output is correct
50 Correct 62 ms 2600 KB Output is correct
51 Correct 61 ms 2780 KB Output is correct
52 Correct 62 ms 4236 KB Output is correct
53 Correct 40 ms 1424 KB Output is correct
54 Correct 1 ms 204 KB Output is correct
55 Correct 1 ms 204 KB Output is correct
56 Correct 1 ms 316 KB Output is correct
57 Correct 1 ms 204 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 1 ms 316 KB Output is correct
60 Correct 1 ms 204 KB Output is correct
61 Correct 1 ms 204 KB Output is correct
62 Correct 2 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 1 ms 316 KB Output is correct
65 Correct 4 ms 332 KB Output is correct
66 Correct 4 ms 320 KB Output is correct
67 Correct 3 ms 332 KB Output is correct
68 Correct 4 ms 332 KB Output is correct
69 Correct 3 ms 324 KB Output is correct
70 Correct 3 ms 332 KB Output is correct
71 Correct 3 ms 324 KB Output is correct
72 Correct 4 ms 332 KB Output is correct
73 Correct 3 ms 348 KB Output is correct
74 Correct 4 ms 324 KB Output is correct
75 Correct 3 ms 332 KB Output is correct
76 Correct 4 ms 332 KB Output is correct
77 Correct 3 ms 332 KB Output is correct
78 Correct 1 ms 204 KB Output is correct
79 Correct 46 ms 1236 KB Output is correct
80 Correct 41 ms 1352 KB Output is correct
81 Correct 61 ms 2652 KB Output is correct
82 Correct 51 ms 3420 KB Output is correct
83 Correct 52 ms 3452 KB Output is correct
84 Correct 71 ms 2440 KB Output is correct
85 Correct 64 ms 2620 KB Output is correct
86 Correct 65 ms 4220 KB Output is correct
87 Correct 40 ms 1356 KB Output is correct
88 Correct 41 ms 1336 KB Output is correct
89 Correct 45 ms 1352 KB Output is correct
90 Correct 41 ms 1228 KB Output is correct
91 Correct 55 ms 1640 KB Output is correct
92 Correct 50 ms 1092 KB Output is correct
93 Correct 55 ms 3392 KB Output is correct
94 Correct 58 ms 2308 KB Output is correct
95 Correct 58 ms 2400 KB Output is correct
96 Correct 60 ms 4068 KB Output is correct
97 Correct 63 ms 4176 KB Output is correct
98 Correct 52 ms 3020 KB Output is correct
99 Correct 1 ms 204 KB Output is correct
100 Correct 1 ms 204 KB Output is correct
101 Correct 1 ms 204 KB Output is correct
102 Correct 1 ms 204 KB Output is correct
103 Correct 1 ms 204 KB Output is correct
104 Correct 1 ms 204 KB Output is correct
105 Correct 1 ms 312 KB Output is correct
106 Correct 2 ms 204 KB Output is correct
107 Correct 1 ms 204 KB Output is correct
108 Correct 1 ms 312 KB Output is correct
109 Correct 1 ms 204 KB Output is correct
110 Correct 1 ms 204 KB Output is correct
111 Correct 277 ms 7124 KB Output is correct
112 Correct 226 ms 6980 KB Output is correct
113 Correct 273 ms 6856 KB Output is correct
114 Correct 329 ms 4768 KB Output is correct
115 Correct 398 ms 14020 KB Output is correct
116 Correct 431 ms 26940 KB Output is correct
117 Correct 382 ms 12476 KB Output is correct
118 Correct 3 ms 332 KB Output is correct
119 Correct 3 ms 332 KB Output is correct
120 Correct 3 ms 332 KB Output is correct
121 Correct 3 ms 332 KB Output is correct
122 Correct 3 ms 324 KB Output is correct
123 Correct 3 ms 332 KB Output is correct
124 Correct 3 ms 328 KB Output is correct
125 Correct 4 ms 332 KB Output is correct
126 Correct 4 ms 332 KB Output is correct
127 Correct 3 ms 332 KB Output is correct
128 Correct 3 ms 332 KB Output is correct
129 Correct 3 ms 332 KB Output is correct
130 Correct 4 ms 376 KB Output is correct
131 Correct 1 ms 204 KB Output is correct
132 Correct 44 ms 1228 KB Output is correct
133 Correct 42 ms 1228 KB Output is correct
134 Correct 57 ms 2732 KB Output is correct
135 Correct 52 ms 3408 KB Output is correct
136 Correct 52 ms 3404 KB Output is correct
137 Correct 59 ms 2452 KB Output is correct
138 Correct 61 ms 2592 KB Output is correct
139 Correct 62 ms 4284 KB Output is correct
140 Correct 41 ms 1380 KB Output is correct
141 Correct 43 ms 1244 KB Output is correct
142 Correct 45 ms 1248 KB Output is correct
143 Correct 40 ms 1228 KB Output is correct
144 Correct 56 ms 1612 KB Output is correct
145 Correct 50 ms 964 KB Output is correct
146 Correct 55 ms 3404 KB Output is correct
147 Correct 60 ms 2324 KB Output is correct
148 Correct 58 ms 2404 KB Output is correct
149 Correct 59 ms 4128 KB Output is correct
150 Correct 60 ms 4056 KB Output is correct
151 Correct 62 ms 3012 KB Output is correct
152 Correct 1077 ms 27668 KB Output is correct
153 Correct 1096 ms 27452 KB Output is correct
154 Correct 1057 ms 27452 KB Output is correct
155 Correct 1363 ms 39248 KB Output is correct
156 Correct 1365 ms 18056 KB Output is correct
157 Correct 1695 ms 69036 KB Output is correct
158 Correct 1715 ms 66596 KB Output is correct
159 Correct 1560 ms 90596 KB Output is correct
160 Correct 1454 ms 76244 KB Output is correct
161 Correct 1330 ms 50308 KB Output is correct
162 Correct 1381 ms 51916 KB Output is correct