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Submission #879585

# Submission time Handle Problem Language Result Execution time Memory
879585 2023-11-27T16:37:42 Z Shayan86 The short shank; Redemption (BOI21_prison) C++17
100 / 100
 370 ms 336924 KB 
#include <bits/stdc++.h>
using namespace std;

#pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// Ofast, O0, O1, O2, O3, unroll-loops, fast-math, trapv

typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;

#define Mp          make_pair
#define sep         ' '
#define endl        '\n'
#define F	        first
#define S	        second
#define pb          push_back
#define all(x)      (x).begin(),(x).end()
#define kill(res)	cout << res << '\n', exit(0);
#define set_dec(x)	cout << fixed << setprecision(x);
#define fast_io     ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io     freopen("input.txt", "r", stdin) ; freopen("output.txt", "w", stdout);

const ll N = 2e6 + 50;
const ll inf = 1e9 + 7;

ll n, D, T, t[N], killer[N], res, m, h[N], far[N], par[N];

vector<int> adj[N], dead[N], root, height[N];

void dfs(int v){
    far[v] = v;
    for(int u: adj[v]){
        h[u] = h[v] + 1; par[u] = v; dfs(u);
        if(h[far[u]] > h[far[v]]) far[v] = far[u];
    }
}

int main(){
    fast_io;

    cin >> n >> D >> T;

    for(int i = 1; i <= n; i++){
        cin >> t[i];
        if(t[i] > T) t[i] = 0;
        else t[i] = min(n, i + T - t[i]);
    }

    vector<int> alive;
    for(int i = n; i > 0; i--){
        alive.pb(i);
        while(!alive.empty() && alive.back() <= t[i]){
            killer[alive.back()] = i; 
            dead[i].pb(alive.back());
            alive.pop_back();
        }
    }

    res = n - alive.size();

    vector<int> open;
    for(int i = 1; i <= n; i++){
        reverse(all(dead[i]));
        for(int v: dead[i]){
            if(v == i) continue;
            if(open.empty()) root.pb(++m);
            else adj[open.back()].pb(++m);
            open.pb(m);
        }
        if(!killer[i] || killer[i] == i) continue;
        open.pop_back();
    }

    for(int v: root){
        dfs(v); height[h[far[v]]].pb(far[v]);
    }

    int cur = m;
    while(cur >= 0 && D){
        if(height[cur].empty()){
            cur--; continue;
        }
        D--;
        int v = height[cur].back();
        height[cur].pop_back();
        while(par[v]){
            for(int u: adj[par[v]]){
                if(u == v) continue;
                height[h[far[u]] - h[u]].pb(far[u]); par[u] = 0;
            }
            v = par[v];
        }
        res -= cur+1;
    }

    cout << res;

}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 142164 KB Output is correct
2 Correct 40 ms 142200 KB Output is correct
3 Correct 39 ms 142200 KB Output is correct
4 Correct 41 ms 142056 KB Output is correct
5 Correct 39 ms 142160 KB Output is correct
6 Correct 40 ms 142072 KB Output is correct
7 Correct 39 ms 142164 KB Output is correct
8 Correct 39 ms 142136 KB Output is correct
9 Correct 39 ms 142172 KB Output is correct
10 Correct 38 ms 142204 KB Output is correct
11 Correct 41 ms 142516 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 142368 KB Output is correct
2 Correct 115 ms 173144 KB Output is correct
3 Correct 108 ms 171524 KB Output is correct
4 Correct 117 ms 173236 KB Output is correct
5 Correct 104 ms 172516 KB Output is correct
6 Correct 102 ms 167124 KB Output is correct
7 Correct 118 ms 201036 KB Output is correct
8 Correct 108 ms 171128 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 142164 KB Output is correct
2 Correct 40 ms 142200 KB Output is correct
3 Correct 39 ms 142200 KB Output is correct
4 Correct 41 ms 142056 KB Output is correct
5 Correct 39 ms 142160 KB Output is correct
6 Correct 40 ms 142072 KB Output is correct
7 Correct 39 ms 142164 KB Output is correct
8 Correct 39 ms 142136 KB Output is correct
9 Correct 39 ms 142172 KB Output is correct
10 Correct 38 ms 142204 KB Output is correct
11 Correct 41 ms 142516 KB Output is correct
12 Correct 38 ms 142172 KB Output is correct
13 Correct 40 ms 142160 KB Output is correct
14 Correct 39 ms 142172 KB Output is correct
15 Correct 39 ms 142172 KB Output is correct
16 Correct 39 ms 142244 KB Output is correct
17 Correct 38 ms 142164 KB Output is correct
18 Correct 40 ms 142172 KB Output is correct
19 Correct 39 ms 142172 KB Output is correct
20 Correct 38 ms 142172 KB Output is correct
21 Correct 38 ms 142164 KB Output is correct
22 Correct 40 ms 142172 KB Output is correct
23 Correct 39 ms 142492 KB Output is correct
24 Correct 40 ms 142260 KB Output is correct
25 Correct 41 ms 142456 KB Output is correct
26 Correct 39 ms 142332 KB Output is correct
27 Correct 39 ms 142416 KB Output is correct
28 Correct 40 ms 142428 KB Output is correct
29 Correct 46 ms 142640 KB Output is correct
30 Correct 40 ms 142428 KB Output is correct
31 Correct 41 ms 142424 KB Output is correct
32 Correct 39 ms 142164 KB Output is correct
33 Correct 40 ms 142216 KB Output is correct
34 Correct 40 ms 142420 KB Output is correct
35 Correct 41 ms 142424 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 142160 KB Output is correct
2 Correct 52 ms 146768 KB Output is correct
3 Correct 53 ms 146512 KB Output is correct
4 Correct 52 ms 147980 KB Output is correct
5 Correct 52 ms 149316 KB Output is correct
6 Correct 53 ms 149328 KB Output is correct
7 Correct 49 ms 146000 KB Output is correct
8 Correct 50 ms 145592 KB Output is correct
9 Correct 52 ms 150544 KB Output is correct
10 Correct 48 ms 145748 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 142164 KB Output is correct
2 Correct 40 ms 142200 KB Output is correct
3 Correct 39 ms 142200 KB Output is correct
4 Correct 41 ms 142056 KB Output is correct
5 Correct 39 ms 142160 KB Output is correct
6 Correct 40 ms 142072 KB Output is correct
7 Correct 39 ms 142164 KB Output is correct
8 Correct 39 ms 142136 KB Output is correct
9 Correct 39 ms 142172 KB Output is correct
10 Correct 38 ms 142204 KB Output is correct
11 Correct 41 ms 142516 KB Output is correct
12 Correct 38 ms 142172 KB Output is correct
13 Correct 40 ms 142160 KB Output is correct
14 Correct 39 ms 142172 KB Output is correct
15 Correct 39 ms 142172 KB Output is correct
16 Correct 39 ms 142244 KB Output is correct
17 Correct 38 ms 142164 KB Output is correct
18 Correct 40 ms 142172 KB Output is correct
19 Correct 39 ms 142172 KB Output is correct
20 Correct 38 ms 142172 KB Output is correct
21 Correct 38 ms 142164 KB Output is correct
22 Correct 40 ms 142172 KB Output is correct
23 Correct 39 ms 142492 KB Output is correct
24 Correct 40 ms 142260 KB Output is correct
25 Correct 41 ms 142456 KB Output is correct
26 Correct 39 ms 142332 KB Output is correct
27 Correct 39 ms 142416 KB Output is correct
28 Correct 40 ms 142428 KB Output is correct
29 Correct 46 ms 142640 KB Output is correct
30 Correct 40 ms 142428 KB Output is correct
31 Correct 41 ms 142424 KB Output is correct
32 Correct 39 ms 142164 KB Output is correct
33 Correct 40 ms 142216 KB Output is correct
34 Correct 40 ms 142420 KB Output is correct
35 Correct 41 ms 142424 KB Output is correct
36 Correct 40 ms 142160 KB Output is correct
37 Correct 52 ms 146768 KB Output is correct
38 Correct 53 ms 146512 KB Output is correct
39 Correct 52 ms 147980 KB Output is correct
40 Correct 52 ms 149316 KB Output is correct
41 Correct 53 ms 149328 KB Output is correct
42 Correct 49 ms 146000 KB Output is correct
43 Correct 50 ms 145592 KB Output is correct
44 Correct 52 ms 150544 KB Output is correct
45 Correct 48 ms 145748 KB Output is correct
46 Correct 40 ms 142232 KB Output is correct
47 Correct 41 ms 142136 KB Output is correct
48 Correct 46 ms 142168 KB Output is correct
49 Correct 39 ms 142160 KB Output is correct
50 Correct 40 ms 142164 KB Output is correct
51 Correct 40 ms 142136 KB Output is correct
52 Correct 40 ms 142172 KB Output is correct
53 Correct 42 ms 142160 KB Output is correct
54 Correct 41 ms 142172 KB Output is correct
55 Correct 41 ms 142260 KB Output is correct
56 Correct 42 ms 142224 KB Output is correct
57 Correct 41 ms 142428 KB Output is correct
58 Correct 40 ms 142420 KB Output is correct
59 Correct 41 ms 142428 KB Output is correct
60 Correct 41 ms 142472 KB Output is correct
61 Correct 47 ms 142420 KB Output is correct
62 Correct 41 ms 142420 KB Output is correct
63 Correct 42 ms 142348 KB Output is correct
64 Correct 41 ms 142416 KB Output is correct
65 Correct 42 ms 142360 KB Output is correct
66 Correct 41 ms 142164 KB Output is correct
67 Correct 41 ms 142424 KB Output is correct
68 Correct 42 ms 142672 KB Output is correct
69 Correct 42 ms 142416 KB Output is correct
70 Correct 41 ms 142120 KB Output is correct
71 Correct 52 ms 146768 KB Output is correct
72 Correct 51 ms 146516 KB Output is correct
73 Correct 54 ms 147924 KB Output is correct
74 Correct 53 ms 149328 KB Output is correct
75 Correct 58 ms 149436 KB Output is correct
76 Correct 48 ms 147280 KB Output is correct
77 Correct 50 ms 145492 KB Output is correct
78 Correct 52 ms 150428 KB Output is correct
79 Correct 50 ms 146000 KB Output is correct
80 Correct 54 ms 146732 KB Output is correct
81 Correct 53 ms 146772 KB Output is correct
82 Correct 51 ms 146768 KB Output is correct
83 Correct 52 ms 147316 KB Output is correct
84 Correct 49 ms 146256 KB Output is correct
85 Correct 54 ms 149584 KB Output is correct
86 Correct 53 ms 146772 KB Output is correct
87 Correct 52 ms 145492 KB Output is correct
88 Correct 55 ms 149168 KB Output is correct
89 Correct 55 ms 150192 KB Output is correct
90 Correct 55 ms 148792 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 142164 KB Output is correct
2 Correct 40 ms 142200 KB Output is correct
3 Correct 39 ms 142200 KB Output is correct
4 Correct 41 ms 142056 KB Output is correct
5 Correct 39 ms 142160 KB Output is correct
6 Correct 40 ms 142072 KB Output is correct
7 Correct 39 ms 142164 KB Output is correct
8 Correct 39 ms 142136 KB Output is correct
9 Correct 39 ms 142172 KB Output is correct
10 Correct 38 ms 142204 KB Output is correct
11 Correct 41 ms 142516 KB Output is correct
12 Correct 37 ms 142368 KB Output is correct
13 Correct 115 ms 173144 KB Output is correct
14 Correct 108 ms 171524 KB Output is correct
15 Correct 117 ms 173236 KB Output is correct
16 Correct 104 ms 172516 KB Output is correct
17 Correct 102 ms 167124 KB Output is correct
18 Correct 118 ms 201036 KB Output is correct
19 Correct 108 ms 171128 KB Output is correct
20 Correct 38 ms 142172 KB Output is correct
21 Correct 40 ms 142160 KB Output is correct
22 Correct 39 ms 142172 KB Output is correct
23 Correct 39 ms 142172 KB Output is correct
24 Correct 39 ms 142244 KB Output is correct
25 Correct 38 ms 142164 KB Output is correct
26 Correct 40 ms 142172 KB Output is correct
27 Correct 39 ms 142172 KB Output is correct
28 Correct 38 ms 142172 KB Output is correct
29 Correct 38 ms 142164 KB Output is correct
30 Correct 40 ms 142172 KB Output is correct
31 Correct 39 ms 142492 KB Output is correct
32 Correct 40 ms 142260 KB Output is correct
33 Correct 41 ms 142456 KB Output is correct
34 Correct 39 ms 142332 KB Output is correct
35 Correct 39 ms 142416 KB Output is correct
36 Correct 40 ms 142428 KB Output is correct
37 Correct 46 ms 142640 KB Output is correct
38 Correct 40 ms 142428 KB Output is correct
39 Correct 41 ms 142424 KB Output is correct
40 Correct 39 ms 142164 KB Output is correct
41 Correct 40 ms 142216 KB Output is correct
42 Correct 40 ms 142420 KB Output is correct
43 Correct 41 ms 142424 KB Output is correct
44 Correct 40 ms 142160 KB Output is correct
45 Correct 52 ms 146768 KB Output is correct
46 Correct 53 ms 146512 KB Output is correct
47 Correct 52 ms 147980 KB Output is correct
48 Correct 52 ms 149316 KB Output is correct
49 Correct 53 ms 149328 KB Output is correct
50 Correct 49 ms 146000 KB Output is correct
51 Correct 50 ms 145592 KB Output is correct
52 Correct 52 ms 150544 KB Output is correct
53 Correct 48 ms 145748 KB Output is correct
54 Correct 40 ms 142232 KB Output is correct
55 Correct 41 ms 142136 KB Output is correct
56 Correct 46 ms 142168 KB Output is correct
57 Correct 39 ms 142160 KB Output is correct
58 Correct 40 ms 142164 KB Output is correct
59 Correct 40 ms 142136 KB Output is correct
60 Correct 40 ms 142172 KB Output is correct
61 Correct 42 ms 142160 KB Output is correct
62 Correct 41 ms 142172 KB Output is correct
63 Correct 41 ms 142260 KB Output is correct
64 Correct 42 ms 142224 KB Output is correct
65 Correct 41 ms 142428 KB Output is correct
66 Correct 40 ms 142420 KB Output is correct
67 Correct 41 ms 142428 KB Output is correct
68 Correct 41 ms 142472 KB Output is correct
69 Correct 47 ms 142420 KB Output is correct
70 Correct 41 ms 142420 KB Output is correct
71 Correct 42 ms 142348 KB Output is correct
72 Correct 41 ms 142416 KB Output is correct
73 Correct 42 ms 142360 KB Output is correct
74 Correct 41 ms 142164 KB Output is correct
75 Correct 41 ms 142424 KB Output is correct
76 Correct 42 ms 142672 KB Output is correct
77 Correct 42 ms 142416 KB Output is correct
78 Correct 41 ms 142120 KB Output is correct
79 Correct 52 ms 146768 KB Output is correct
80 Correct 51 ms 146516 KB Output is correct
81 Correct 54 ms 147924 KB Output is correct
82 Correct 53 ms 149328 KB Output is correct
83 Correct 58 ms 149436 KB Output is correct
84 Correct 48 ms 147280 KB Output is correct
85 Correct 50 ms 145492 KB Output is correct
86 Correct 52 ms 150428 KB Output is correct
87 Correct 50 ms 146000 KB Output is correct
88 Correct 54 ms 146732 KB Output is correct
89 Correct 53 ms 146772 KB Output is correct
90 Correct 51 ms 146768 KB Output is correct
91 Correct 52 ms 147316 KB Output is correct
92 Correct 49 ms 146256 KB Output is correct
93 Correct 54 ms 149584 KB Output is correct
94 Correct 53 ms 146772 KB Output is correct
95 Correct 52 ms 145492 KB Output is correct
96 Correct 55 ms 149168 KB Output is correct
97 Correct 55 ms 150192 KB Output is correct
98 Correct 55 ms 148792 KB Output is correct
99 Correct 49 ms 142156 KB Output is correct
100 Correct 48 ms 142176 KB Output is correct
101 Correct 56 ms 142260 KB Output is correct
102 Correct 51 ms 142160 KB Output is correct
103 Correct 47 ms 142452 KB Output is correct
104 Correct 46 ms 142244 KB Output is correct
105 Correct 46 ms 142260 KB Output is correct
106 Correct 46 ms 142112 KB Output is correct
107 Correct 47 ms 142164 KB Output is correct
108 Correct 47 ms 142168 KB Output is correct
109 Correct 46 ms 142256 KB Output is correct
110 Correct 51 ms 142232 KB Output is correct
111 Correct 124 ms 173196 KB Output is correct
112 Correct 113 ms 171284 KB Output is correct
113 Correct 114 ms 173236 KB Output is correct
114 Correct 114 ms 172752 KB Output is correct
115 Correct 127 ms 167120 KB Output is correct
116 Correct 118 ms 201036 KB Output is correct
117 Correct 112 ms 170952 KB Output is correct
118 Correct 43 ms 142444 KB Output is correct
119 Correct 53 ms 142420 KB Output is correct
120 Correct 46 ms 142264 KB Output is correct
121 Correct 53 ms 144488 KB Output is correct
122 Correct 48 ms 142420 KB Output is correct
123 Correct 49 ms 142484 KB Output is correct
124 Correct 45 ms 142296 KB Output is correct
125 Correct 49 ms 142224 KB Output is correct
126 Correct 47 ms 142420 KB Output is correct
127 Correct 43 ms 142164 KB Output is correct
128 Correct 43 ms 142420 KB Output is correct
129 Correct 47 ms 142420 KB Output is correct
130 Correct 47 ms 142276 KB Output is correct
131 Correct 51 ms 142160 KB Output is correct
132 Correct 57 ms 146956 KB Output is correct
133 Correct 58 ms 146656 KB Output is correct
134 Correct 57 ms 147796 KB Output is correct
135 Correct 58 ms 149420 KB Output is correct
136 Correct 57 ms 149332 KB Output is correct
137 Correct 59 ms 145836 KB Output is correct
138 Correct 55 ms 145492 KB Output is correct
139 Correct 56 ms 150532 KB Output is correct
140 Correct 56 ms 145592 KB Output is correct
141 Correct 57 ms 146768 KB Output is correct
142 Correct 58 ms 146884 KB Output is correct
143 Correct 56 ms 146772 KB Output is correct
144 Correct 56 ms 147284 KB Output is correct
145 Correct 55 ms 146256 KB Output is correct
146 Correct 57 ms 149404 KB Output is correct
147 Correct 57 ms 146612 KB Output is correct
148 Correct 56 ms 145744 KB Output is correct
149 Correct 55 ms 149228 KB Output is correct
150 Correct 58 ms 150192 KB Output is correct
151 Correct 55 ms 148832 KB Output is correct
152 Correct 352 ms 268392 KB Output is correct
153 Correct 351 ms 271096 KB Output is correct
154 Correct 352 ms 266944 KB Output is correct
155 Correct 349 ms 290492 KB Output is correct
156 Correct 327 ms 267540 KB Output is correct
157 Correct 273 ms 224904 KB Output is correct
158 Correct 302 ms 255632 KB Output is correct
159 Correct 369 ms 336924 KB Output is correct
160 Correct 370 ms 329504 KB Output is correct
161 Correct 269 ms 229268 KB Output is correct
162 Correct 294 ms 236352 KB Output is correct