oj.uz

Submission #646052

# Submission time Handle Problem Language Result Execution time Memory
646052 2022-09-28T14:26:58 Z alextodoran The short shank; Redemption (BOI21_prison) C++17
100 / 100
 1314 ms 415448 KB 
/**
 ____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|

**/

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;

const int N_MAX = 2000000;

int N, K, T;
int start[N_MAX + 2];

int spread[N_MAX + 2];
vector <int> endSpread[N_MAX + 2];
int maxTrigger[N_MAX + 2];

int parent[N_MAX + 2];
vector <int> sons[N_MAX + 2];

int depth[N_MAX + 2];

int M;
int order[N_MAX + 2];
int L[N_MAX + 2], R[N_MAX + 2];

void dfs (int u) {
    order[++M] = u;
    L[u] = R[u] = M;
    for (int v : sons[u]) {
        depth[v] = depth[u] + 1;
        dfs(v);
        R[u] = R[v];
    }
}

bool active[N_MAX + 2];

struct SegInfo {
    int maxVal;
    int maxID;
    int lazy;
};
SegInfo operator + (const SegInfo &x, const SegInfo &y) {
    SegInfo z;
    if (x.maxVal > y.maxVal) {
        z = x;
    } else {
        z = y;
    }
    z.lazy = 0;
    return z;
}
void operator += (SegInfo &x, const int &y) {
    x.maxVal += y;
    x.lazy += y;
}

SegInfo segTree[N_MAX * 4 + 2];

void build (int node, int l, int r) {
    if (l == r) {
        segTree[node] = SegInfo{depth[order[l]], l, 0};
        return;
    }
    int mid = (l + r) / 2;
    int left = node * 2, right = node * 2 + 1;
    build(left, l, mid);
    build(right, mid + 1, r);
    segTree[node] = segTree[left] + segTree[right];
}
void build () {
    build(1, 1, M);
}
void update (int node, int l, int r, int ul, int ur) {
    if (ul <= l && r <= ur) {
        segTree[node] += -1;
        return;
    }
    int mid = (l + r) / 2;
    int left = node * 2, right = node * 2 + 1;
    segTree[left] += segTree[node].lazy;
    segTree[right] += segTree[node].lazy;
    if (ul <= mid) {
        update(left, l, mid, ul, ur);
    }
    if (mid + 1 <= ur) {
        update(right, mid + 1, r, ul, ur);
    }
    segTree[node] = segTree[left] + segTree[right];
}
void update (int ul, int ur) {
    update(1, 1, M, ul, ur);
}

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

    cin >> N >> K >> T;
    for (int i = 1; i <= N; i++) {
        cin >> start[i];
        spread[i] = max(i - 1, min(N, i + (T - start[i])));
        if (spread[i] < N) {
            endSpread[spread[i]].push_back(i);
        }
    }
    set <int> triggers;
    for (int i = 1; i <= N; i++) {
        if (start[i] <= T) {
            triggers.insert(i);
        }
        maxTrigger[i] = (triggers.empty() == false ? *triggers.rbegin() : 0);
        for (int j : endSpread[i]) {
            triggers.erase(j);
        }
    }

    int answer = 0;
    vector <int> st;
    for (int i = N; i >= 1; i--) {
        while (st.empty() == false && maxTrigger[st.back()] >= i) {
            st.pop_back();
        }
        parent[i] = (st.empty() == false ? st.back() : 0);
        if (maxTrigger[i] > 0) {
            answer++;
            if (maxTrigger[i] < i) {
                active[i] = true;
                st.push_back(i);
            }
        }
    }
    for (int u = 1; u <= N; u++) {
        if (active[u] == true && parent[u] != 0) {
            sons[parent[u]].push_back(u);
        }
    }
    for (int u = 1; u <= N; u++) {
        if (active[u] == true && parent[u] == 0) {
            depth[u] = 1;
            dfs(u);
        }
    }
    if (M != 0) {
        build();
        while (K--) {
            int u = order[segTree[1].maxID];
            int v = u;
            while (active[v] == true) {
                answer--;
                active[v] = false;
                update(L[v], R[v]);
                v = parent[v];
            }
        }
    }
    cout << answer << "\n";

    return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 94240 KB Output is correct
2 Correct 44 ms 94348 KB Output is correct
3 Correct 43 ms 94296 KB Output is correct
4 Correct 44 ms 94300 KB Output is correct
5 Correct 44 ms 94264 KB Output is correct
6 Correct 45 ms 94292 KB Output is correct
7 Correct 45 ms 94336 KB Output is correct
8 Correct 46 ms 94284 KB Output is correct
9 Correct 47 ms 94456 KB Output is correct
10 Correct 45 ms 94260 KB Output is correct
11 Correct 44 ms 94320 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 94260 KB Output is correct
2 Correct 234 ms 136956 KB Output is correct
3 Correct 186 ms 137992 KB Output is correct
4 Correct 230 ms 145100 KB Output is correct
5 Correct 166 ms 141532 KB Output is correct
6 Correct 160 ms 133916 KB Output is correct
7 Correct 385 ms 187196 KB Output is correct
8 Correct 177 ms 135656 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 94240 KB Output is correct
2 Correct 44 ms 94348 KB Output is correct
3 Correct 43 ms 94296 KB Output is correct
4 Correct 44 ms 94300 KB Output is correct
5 Correct 44 ms 94264 KB Output is correct
6 Correct 45 ms 94292 KB Output is correct
7 Correct 45 ms 94336 KB Output is correct
8 Correct 46 ms 94284 KB Output is correct
9 Correct 47 ms 94456 KB Output is correct
10 Correct 45 ms 94260 KB Output is correct
11 Correct 44 ms 94320 KB Output is correct
12 Correct 43 ms 94256 KB Output is correct
13 Correct 45 ms 94292 KB Output is correct
14 Correct 45 ms 94284 KB Output is correct
15 Correct 49 ms 94268 KB Output is correct
16 Correct 45 ms 94384 KB Output is correct
17 Correct 45 ms 94264 KB Output is correct
18 Correct 45 ms 94284 KB Output is correct
19 Correct 42 ms 94248 KB Output is correct
20 Correct 46 ms 94280 KB Output is correct
21 Correct 46 ms 94260 KB Output is correct
22 Correct 44 ms 94284 KB Output is correct
23 Correct 48 ms 94752 KB Output is correct
24 Correct 47 ms 94672 KB Output is correct
25 Correct 46 ms 94668 KB Output is correct
26 Correct 46 ms 94632 KB Output is correct
27 Correct 52 ms 94764 KB Output is correct
28 Correct 47 ms 94668 KB Output is correct
29 Correct 45 ms 94708 KB Output is correct
30 Correct 44 ms 94564 KB Output is correct
31 Correct 47 ms 94632 KB Output is correct
32 Correct 48 ms 94620 KB Output is correct
33 Correct 45 ms 94536 KB Output is correct
34 Correct 53 ms 94668 KB Output is correct
35 Correct 45 ms 94712 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 94224 KB Output is correct
2 Correct 69 ms 101836 KB Output is correct
3 Correct 68 ms 101964 KB Output is correct
4 Correct 75 ms 104012 KB Output is correct
5 Correct 77 ms 105272 KB Output is correct
6 Correct 79 ms 105432 KB Output is correct
7 Correct 61 ms 100684 KB Output is correct
8 Correct 61 ms 100464 KB Output is correct
9 Correct 92 ms 109984 KB Output is correct
10 Correct 57 ms 100880 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 94240 KB Output is correct
2 Correct 44 ms 94348 KB Output is correct
3 Correct 43 ms 94296 KB Output is correct
4 Correct 44 ms 94300 KB Output is correct
5 Correct 44 ms 94264 KB Output is correct
6 Correct 45 ms 94292 KB Output is correct
7 Correct 45 ms 94336 KB Output is correct
8 Correct 46 ms 94284 KB Output is correct
9 Correct 47 ms 94456 KB Output is correct
10 Correct 45 ms 94260 KB Output is correct
11 Correct 44 ms 94320 KB Output is correct
12 Correct 43 ms 94256 KB Output is correct
13 Correct 45 ms 94292 KB Output is correct
14 Correct 45 ms 94284 KB Output is correct
15 Correct 49 ms 94268 KB Output is correct
16 Correct 45 ms 94384 KB Output is correct
17 Correct 45 ms 94264 KB Output is correct
18 Correct 45 ms 94284 KB Output is correct
19 Correct 42 ms 94248 KB Output is correct
20 Correct 46 ms 94280 KB Output is correct
21 Correct 46 ms 94260 KB Output is correct
22 Correct 44 ms 94284 KB Output is correct
23 Correct 48 ms 94752 KB Output is correct
24 Correct 47 ms 94672 KB Output is correct
25 Correct 46 ms 94668 KB Output is correct
26 Correct 46 ms 94632 KB Output is correct
27 Correct 52 ms 94764 KB Output is correct
28 Correct 47 ms 94668 KB Output is correct
29 Correct 45 ms 94708 KB Output is correct
30 Correct 44 ms 94564 KB Output is correct
31 Correct 47 ms 94632 KB Output is correct
32 Correct 48 ms 94620 KB Output is correct
33 Correct 45 ms 94536 KB Output is correct
34 Correct 53 ms 94668 KB Output is correct
35 Correct 45 ms 94712 KB Output is correct
36 Correct 53 ms 94224 KB Output is correct
37 Correct 69 ms 101836 KB Output is correct
38 Correct 68 ms 101964 KB Output is correct
39 Correct 75 ms 104012 KB Output is correct
40 Correct 77 ms 105272 KB Output is correct
41 Correct 79 ms 105432 KB Output is correct
42 Correct 61 ms 100684 KB Output is correct
43 Correct 61 ms 100464 KB Output is correct
44 Correct 92 ms 109984 KB Output is correct
45 Correct 57 ms 100880 KB Output is correct
46 Correct 50 ms 94284 KB Output is correct
47 Correct 44 ms 94284 KB Output is correct
48 Correct 44 ms 94304 KB Output is correct
49 Correct 44 ms 94284 KB Output is correct
50 Correct 46 ms 94364 KB Output is correct
51 Correct 55 ms 94264 KB Output is correct
52 Correct 47 ms 94284 KB Output is correct
53 Correct 47 ms 94252 KB Output is correct
54 Correct 45 ms 94360 KB Output is correct
55 Correct 45 ms 94284 KB Output is correct
56 Correct 46 ms 94284 KB Output is correct
57 Correct 47 ms 94680 KB Output is correct
58 Correct 50 ms 94584 KB Output is correct
59 Correct 47 ms 94668 KB Output is correct
60 Correct 46 ms 94684 KB Output is correct
61 Correct 47 ms 94672 KB Output is correct
62 Correct 45 ms 94668 KB Output is correct
63 Correct 46 ms 94668 KB Output is correct
64 Correct 45 ms 94548 KB Output is correct
65 Correct 45 ms 94616 KB Output is correct
66 Correct 44 ms 94540 KB Output is correct
67 Correct 46 ms 94540 KB Output is correct
68 Correct 45 ms 94672 KB Output is correct
69 Correct 45 ms 94652 KB Output is correct
70 Correct 44 ms 94236 KB Output is correct
71 Correct 76 ms 102508 KB Output is correct
72 Correct 80 ms 101968 KB Output is correct
73 Correct 73 ms 104036 KB Output is correct
74 Correct 78 ms 105280 KB Output is correct
75 Correct 79 ms 105532 KB Output is correct
76 Correct 62 ms 100780 KB Output is correct
77 Correct 75 ms 100468 KB Output is correct
78 Correct 96 ms 110012 KB Output is correct
79 Correct 58 ms 100772 KB Output is correct
80 Correct 70 ms 102032 KB Output is correct
81 Correct 76 ms 102556 KB Output is correct
82 Correct 77 ms 101976 KB Output is correct
83 Correct 75 ms 102644 KB Output is correct
84 Correct 71 ms 101156 KB Output is correct
85 Correct 82 ms 105796 KB Output is correct
86 Correct 72 ms 102444 KB Output is correct
87 Correct 65 ms 100152 KB Output is correct
88 Correct 83 ms 107000 KB Output is correct
89 Correct 95 ms 109576 KB Output is correct
90 Correct 82 ms 105656 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 94240 KB Output is correct
2 Correct 44 ms 94348 KB Output is correct
3 Correct 43 ms 94296 KB Output is correct
4 Correct 44 ms 94300 KB Output is correct
5 Correct 44 ms 94264 KB Output is correct
6 Correct 45 ms 94292 KB Output is correct
7 Correct 45 ms 94336 KB Output is correct
8 Correct 46 ms 94284 KB Output is correct
9 Correct 47 ms 94456 KB Output is correct
10 Correct 45 ms 94260 KB Output is correct
11 Correct 44 ms 94320 KB Output is correct
12 Correct 50 ms 94260 KB Output is correct
13 Correct 234 ms 136956 KB Output is correct
14 Correct 186 ms 137992 KB Output is correct
15 Correct 230 ms 145100 KB Output is correct
16 Correct 166 ms 141532 KB Output is correct
17 Correct 160 ms 133916 KB Output is correct
18 Correct 385 ms 187196 KB Output is correct
19 Correct 177 ms 135656 KB Output is correct
20 Correct 43 ms 94256 KB Output is correct
21 Correct 45 ms 94292 KB Output is correct
22 Correct 45 ms 94284 KB Output is correct
23 Correct 49 ms 94268 KB Output is correct
24 Correct 45 ms 94384 KB Output is correct
25 Correct 45 ms 94264 KB Output is correct
26 Correct 45 ms 94284 KB Output is correct
27 Correct 42 ms 94248 KB Output is correct
28 Correct 46 ms 94280 KB Output is correct
29 Correct 46 ms 94260 KB Output is correct
30 Correct 44 ms 94284 KB Output is correct
31 Correct 48 ms 94752 KB Output is correct
32 Correct 47 ms 94672 KB Output is correct
33 Correct 46 ms 94668 KB Output is correct
34 Correct 46 ms 94632 KB Output is correct
35 Correct 52 ms 94764 KB Output is correct
36 Correct 47 ms 94668 KB Output is correct
37 Correct 45 ms 94708 KB Output is correct
38 Correct 44 ms 94564 KB Output is correct
39 Correct 47 ms 94632 KB Output is correct
40 Correct 48 ms 94620 KB Output is correct
41 Correct 45 ms 94536 KB Output is correct
42 Correct 53 ms 94668 KB Output is correct
43 Correct 45 ms 94712 KB Output is correct
44 Correct 53 ms 94224 KB Output is correct
45 Correct 69 ms 101836 KB Output is correct
46 Correct 68 ms 101964 KB Output is correct
47 Correct 75 ms 104012 KB Output is correct
48 Correct 77 ms 105272 KB Output is correct
49 Correct 79 ms 105432 KB Output is correct
50 Correct 61 ms 100684 KB Output is correct
51 Correct 61 ms 100464 KB Output is correct
52 Correct 92 ms 109984 KB Output is correct
53 Correct 57 ms 100880 KB Output is correct
54 Correct 50 ms 94284 KB Output is correct
55 Correct 44 ms 94284 KB Output is correct
56 Correct 44 ms 94304 KB Output is correct
57 Correct 44 ms 94284 KB Output is correct
58 Correct 46 ms 94364 KB Output is correct
59 Correct 55 ms 94264 KB Output is correct
60 Correct 47 ms 94284 KB Output is correct
61 Correct 47 ms 94252 KB Output is correct
62 Correct 45 ms 94360 KB Output is correct
63 Correct 45 ms 94284 KB Output is correct
64 Correct 46 ms 94284 KB Output is correct
65 Correct 47 ms 94680 KB Output is correct
66 Correct 50 ms 94584 KB Output is correct
67 Correct 47 ms 94668 KB Output is correct
68 Correct 46 ms 94684 KB Output is correct
69 Correct 47 ms 94672 KB Output is correct
70 Correct 45 ms 94668 KB Output is correct
71 Correct 46 ms 94668 KB Output is correct
72 Correct 45 ms 94548 KB Output is correct
73 Correct 45 ms 94616 KB Output is correct
74 Correct 44 ms 94540 KB Output is correct
75 Correct 46 ms 94540 KB Output is correct
76 Correct 45 ms 94672 KB Output is correct
77 Correct 45 ms 94652 KB Output is correct
78 Correct 44 ms 94236 KB Output is correct
79 Correct 76 ms 102508 KB Output is correct
80 Correct 80 ms 101968 KB Output is correct
81 Correct 73 ms 104036 KB Output is correct
82 Correct 78 ms 105280 KB Output is correct
83 Correct 79 ms 105532 KB Output is correct
84 Correct 62 ms 100780 KB Output is correct
85 Correct 75 ms 100468 KB Output is correct
86 Correct 96 ms 110012 KB Output is correct
87 Correct 58 ms 100772 KB Output is correct
88 Correct 70 ms 102032 KB Output is correct
89 Correct 76 ms 102556 KB Output is correct
90 Correct 77 ms 101976 KB Output is correct
91 Correct 75 ms 102644 KB Output is correct
92 Correct 71 ms 101156 KB Output is correct
93 Correct 82 ms 105796 KB Output is correct
94 Correct 72 ms 102444 KB Output is correct
95 Correct 65 ms 100152 KB Output is correct
96 Correct 83 ms 107000 KB Output is correct
97 Correct 95 ms 109576 KB Output is correct
98 Correct 82 ms 105656 KB Output is correct
99 Correct 44 ms 94328 KB Output is correct
100 Correct 44 ms 94352 KB Output is correct
101 Correct 45 ms 94284 KB Output is correct
102 Correct 48 ms 94348 KB Output is correct
103 Correct 44 ms 94360 KB Output is correct
104 Correct 45 ms 94372 KB Output is correct
105 Correct 44 ms 94276 KB Output is correct
106 Correct 44 ms 94288 KB Output is correct
107 Correct 52 ms 94336 KB Output is correct
108 Correct 47 ms 94320 KB Output is correct
109 Correct 44 ms 94332 KB Output is correct
110 Correct 46 ms 94360 KB Output is correct
111 Correct 263 ms 142012 KB Output is correct
112 Correct 192 ms 142700 KB Output is correct
113 Correct 248 ms 148348 KB Output is correct
114 Correct 175 ms 143408 KB Output is correct
115 Correct 167 ms 137708 KB Output is correct
116 Correct 384 ms 191032 KB Output is correct
117 Correct 182 ms 139468 KB Output is correct
118 Correct 56 ms 94704 KB Output is correct
119 Correct 47 ms 94672 KB Output is correct
120 Correct 47 ms 94776 KB Output is correct
121 Correct 47 ms 94616 KB Output is correct
122 Correct 52 ms 94680 KB Output is correct
123 Correct 54 ms 94664 KB Output is correct
124 Correct 47 ms 94668 KB Output is correct
125 Correct 47 ms 94532 KB Output is correct
126 Correct 46 ms 94596 KB Output is correct
127 Correct 47 ms 94540 KB Output is correct
128 Correct 48 ms 94540 KB Output is correct
129 Correct 47 ms 94864 KB Output is correct
130 Correct 47 ms 94712 KB Output is correct
131 Correct 45 ms 94256 KB Output is correct
132 Correct 68 ms 102468 KB Output is correct
133 Correct 69 ms 102040 KB Output is correct
134 Correct 74 ms 104172 KB Output is correct
135 Correct 83 ms 105240 KB Output is correct
136 Correct 81 ms 105520 KB Output is correct
137 Correct 62 ms 100744 KB Output is correct
138 Correct 64 ms 100424 KB Output is correct
139 Correct 89 ms 109964 KB Output is correct
140 Correct 62 ms 100812 KB Output is correct
141 Correct 73 ms 102056 KB Output is correct
142 Correct 89 ms 102592 KB Output is correct
143 Correct 75 ms 101976 KB Output is correct
144 Correct 81 ms 102664 KB Output is correct
145 Correct 71 ms 101236 KB Output is correct
146 Correct 100 ms 105904 KB Output is correct
147 Correct 73 ms 102452 KB Output is correct
148 Correct 69 ms 100176 KB Output is correct
149 Correct 85 ms 106976 KB Output is correct
150 Correct 90 ms 109504 KB Output is correct
151 Correct 86 ms 105672 KB Output is correct
152 Correct 990 ms 284688 KB Output is correct
153 Correct 690 ms 319280 KB Output is correct
154 Correct 664 ms 291320 KB Output is correct
155 Correct 976 ms 326188 KB Output is correct
156 Correct 793 ms 290252 KB Output is correct
157 Correct 496 ms 249960 KB Output is correct
158 Correct 617 ms 282780 KB Output is correct
159 Correct 1314 ms 415448 KB Output is correct
160 Correct 1150 ms 397216 KB Output is correct
161 Correct 588 ms 255472 KB Output is correct
162 Correct 551 ms 260184 KB Output is correct