Submission #487439

# Submission time Handle Problem Language Result Execution time Memory
487439 2021-11-15T13:41:54 Z idas Wish (LMIO19_noras) C++17
100 / 100
198 ms 15008 KB
#include <bits/stdc++.h>
#define FOR(i, begin, end) for(int i = (begin); i < (end); i++)
#define FAST_IO ios_base::sync_with_stdio(false); cin.tie(nullptr)
#define TSTS int ttt; cin >> ttt; while(ttt--) solve()
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define sz(x) int((x).size())

using namespace std;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long double, long double> pdd;
typedef map<int, int> mii;
typedef vector<int> vi;
typedef long double ld;
typedef long long ll;

const int INF=1e9, MOD=1e9+7, mod=98244353;
const long long LINF=1e8;

void setIO()
{
    FAST_IO;
}

void setIO(string s)
{
    FAST_IO;
    freopen((s+".in").c_str(), "r", stdin);
    freopen((s+".out").c_str(), "w", stdout);
}

const int N=2e5+10;
ll n, R;
pair<ll, ll> ini[N], add[N];

ll sq(ll x){return x*x;}

pair<ll, ll> getPos(int in, ll t)
{
    return {ini[in].F+add[in].F*t, ini[in].S+add[in].S*t};
}

ll calcDist(pair<ll, ll> pos)
{
    if(abs(pos.F)>INF||abs(pos.S)>INF) return -1;
    return sq(pos.F)+sq(pos.S);
}

ll getLow(int in)
{
    //davai patikrini po to shita shuda
    ll l=-1, r=LINF;
    while(l<r-1){
        ll m1=(l+r)/2, m2=m1+1;
        pair<ll, ll> pos1=getPos(in, m1), pos2=getPos(in, m2);
        ll v1=calcDist(pos1), v2=calcDist(pos2);
        if(v1<0||v2<0){
            r=m1;
            continue;
        }
        if(v1<=v2) r=m1;
        else l=m1;
    }
    return l+1;
}

ll lbound(int in, ll x)
{
    ll l=0, r=x;
    while(l<r){
        ll m=(l+r)/2;
        pair<ll, ll> pos=getPos(in, m); ll dist=calcDist(pos);
        if(dist<0){
            r=m;
            continue;
        }
        if(dist>R*R) l=m+1;
        else r=m;
    }
    return l;
}

ll rbound(int in, ll x)
{
    ll l=x, r=LINF;
    while(l<r){
        ll m=(l+r+1)/2;
        pair<ll, ll> pos=getPos(in, m); ll dist=calcDist(pos);
        if(dist<0){
            r=m-1;
            continue;
        }
        if(dist>R*R) r=m-1;
        else l=m;
    }
    return l;
}

int main()
{
    setIO();
    cin >> n >> R;
    ll now=0;
    FOR(i, 0, n)
    {
        ll aa, bb, cc, dd;
        cin >> aa >> bb >> cc >> dd;
        ini[i]={aa, bb}; add[i]={cc-aa, dd-bb};
    }

    vector<pair<ll, int>> inf;
    FOR(i, 0, n)
    {
        ll low=getLow(i);
        pair<ll, ll> pos=getPos(i, low); ll dist=sq(pos.F)+sq(pos.S);
        if(dist>R*R) continue;
        int l=lbound(i, low), r=rbound(i, low);
        inf.PB({l, 1}); inf.PB({r+1, -1});
    }

    sort(inf.begin(), inf.end());

    ll ans=0;
    for(auto[x, y] : inf){
        now+=y;
        ans=max(ans, now);
    }

    cout << ans;
}

/*
TESTINGAS:
3 1
0 0 100000 0
0 0 0 0
0 0 0 0
*/

Compilation message

noras.cpp: In function 'void setIO(std::string)':
noras.cpp:31:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   31 |     freopen((s+".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
noras.cpp:32:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   32 |     freopen((s+".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 62 ms 7632 KB Output is correct
24 Correct 69 ms 7620 KB Output is correct
25 Correct 61 ms 7632 KB Output is correct
26 Correct 60 ms 7596 KB Output is correct
27 Correct 56 ms 5572 KB Output is correct
28 Correct 78 ms 7612 KB Output is correct
29 Correct 65 ms 7692 KB Output is correct
30 Correct 62 ms 7580 KB Output is correct
31 Correct 60 ms 7616 KB Output is correct
32 Correct 81 ms 7636 KB Output is correct
33 Correct 88 ms 7704 KB Output is correct
34 Correct 81 ms 7680 KB Output is correct
35 Correct 81 ms 7624 KB Output is correct
36 Correct 96 ms 7676 KB Output is correct
37 Correct 59 ms 5640 KB Output is correct
38 Correct 62 ms 5580 KB Output is correct
39 Correct 60 ms 5636 KB Output is correct
40 Correct 68 ms 5636 KB Output is correct
41 Correct 58 ms 5568 KB Output is correct
42 Correct 59 ms 5568 KB Output is correct
43 Correct 174 ms 14804 KB Output is correct
44 Correct 186 ms 14896 KB Output is correct
45 Correct 198 ms 14844 KB Output is correct
46 Correct 178 ms 14900 KB Output is correct
47 Correct 181 ms 14912 KB Output is correct
48 Correct 169 ms 14996 KB Output is correct
49 Correct 161 ms 14892 KB Output is correct
50 Correct 157 ms 14892 KB Output is correct
51 Correct 154 ms 14816 KB Output is correct
52 Correct 162 ms 14872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 0 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 62 ms 7632 KB Output is correct
24 Correct 69 ms 7620 KB Output is correct
25 Correct 61 ms 7632 KB Output is correct
26 Correct 60 ms 7596 KB Output is correct
27 Correct 56 ms 5572 KB Output is correct
28 Correct 78 ms 7612 KB Output is correct
29 Correct 65 ms 7692 KB Output is correct
30 Correct 62 ms 7580 KB Output is correct
31 Correct 60 ms 7616 KB Output is correct
32 Correct 81 ms 7636 KB Output is correct
33 Correct 88 ms 7704 KB Output is correct
34 Correct 81 ms 7680 KB Output is correct
35 Correct 81 ms 7624 KB Output is correct
36 Correct 96 ms 7676 KB Output is correct
37 Correct 59 ms 5640 KB Output is correct
38 Correct 62 ms 5580 KB Output is correct
39 Correct 60 ms 5636 KB Output is correct
40 Correct 68 ms 5636 KB Output is correct
41 Correct 58 ms 5568 KB Output is correct
42 Correct 59 ms 5568 KB Output is correct
43 Correct 174 ms 14804 KB Output is correct
44 Correct 186 ms 14896 KB Output is correct
45 Correct 198 ms 14844 KB Output is correct
46 Correct 178 ms 14900 KB Output is correct
47 Correct 181 ms 14912 KB Output is correct
48 Correct 169 ms 14996 KB Output is correct
49 Correct 161 ms 14892 KB Output is correct
50 Correct 157 ms 14892 KB Output is correct
51 Correct 154 ms 14816 KB Output is correct
52 Correct 162 ms 14872 KB Output is correct
53 Correct 0 ms 332 KB Output is correct
54 Correct 1 ms 332 KB Output is correct
55 Correct 1 ms 332 KB Output is correct
56 Correct 1 ms 332 KB Output is correct
57 Correct 1 ms 332 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 60 ms 7684 KB Output is correct
60 Correct 60 ms 5544 KB Output is correct
61 Correct 60 ms 5632 KB Output is correct
62 Correct 71 ms 5572 KB Output is correct
63 Correct 68 ms 5692 KB Output is correct
64 Correct 66 ms 5568 KB Output is correct
65 Correct 71 ms 5640 KB Output is correct
66 Correct 71 ms 5544 KB Output is correct
67 Correct 71 ms 5568 KB Output is correct
68 Correct 88 ms 7640 KB Output is correct
69 Correct 82 ms 7600 KB Output is correct
70 Correct 79 ms 7612 KB Output is correct
71 Correct 79 ms 7580 KB Output is correct
72 Correct 79 ms 7584 KB Output is correct
73 Correct 71 ms 5616 KB Output is correct
74 Correct 72 ms 7612 KB Output is correct
75 Correct 65 ms 7768 KB Output is correct
76 Correct 59 ms 5540 KB Output is correct
77 Correct 164 ms 14876 KB Output is correct
78 Correct 167 ms 14896 KB Output is correct
79 Correct 171 ms 15008 KB Output is correct
80 Correct 163 ms 14812 KB Output is correct
81 Correct 162 ms 14896 KB Output is correct
82 Correct 166 ms 14920 KB Output is correct
83 Correct 178 ms 14900 KB Output is correct
84 Correct 158 ms 14960 KB Output is correct
85 Correct 157 ms 14804 KB Output is correct
86 Correct 159 ms 14840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 62 ms 7632 KB Output is correct
24 Correct 69 ms 7620 KB Output is correct
25 Correct 61 ms 7632 KB Output is correct
26 Correct 60 ms 7596 KB Output is correct
27 Correct 56 ms 5572 KB Output is correct
28 Correct 78 ms 7612 KB Output is correct
29 Correct 65 ms 7692 KB Output is correct
30 Correct 62 ms 7580 KB Output is correct
31 Correct 60 ms 7616 KB Output is correct
32 Correct 81 ms 7636 KB Output is correct
33 Correct 88 ms 7704 KB Output is correct
34 Correct 81 ms 7680 KB Output is correct
35 Correct 81 ms 7624 KB Output is correct
36 Correct 96 ms 7676 KB Output is correct
37 Correct 59 ms 5640 KB Output is correct
38 Correct 62 ms 5580 KB Output is correct
39 Correct 60 ms 5636 KB Output is correct
40 Correct 68 ms 5636 KB Output is correct
41 Correct 58 ms 5568 KB Output is correct
42 Correct 59 ms 5568 KB Output is correct
43 Correct 174 ms 14804 KB Output is correct
44 Correct 186 ms 14896 KB Output is correct
45 Correct 198 ms 14844 KB Output is correct
46 Correct 178 ms 14900 KB Output is correct
47 Correct 181 ms 14912 KB Output is correct
48 Correct 169 ms 14996 KB Output is correct
49 Correct 161 ms 14892 KB Output is correct
50 Correct 157 ms 14892 KB Output is correct
51 Correct 154 ms 14816 KB Output is correct
52 Correct 162 ms 14872 KB Output is correct
53 Correct 60 ms 7684 KB Output is correct
54 Correct 60 ms 5544 KB Output is correct
55 Correct 60 ms 5632 KB Output is correct
56 Correct 71 ms 5572 KB Output is correct
57 Correct 68 ms 5692 KB Output is correct
58 Correct 66 ms 5568 KB Output is correct
59 Correct 71 ms 5640 KB Output is correct
60 Correct 71 ms 5544 KB Output is correct
61 Correct 71 ms 5568 KB Output is correct
62 Correct 88 ms 7640 KB Output is correct
63 Correct 82 ms 7600 KB Output is correct
64 Correct 79 ms 7612 KB Output is correct
65 Correct 79 ms 7580 KB Output is correct
66 Correct 79 ms 7584 KB Output is correct
67 Correct 71 ms 5616 KB Output is correct
68 Correct 72 ms 7612 KB Output is correct
69 Correct 65 ms 7768 KB Output is correct
70 Correct 59 ms 5540 KB Output is correct
71 Correct 164 ms 14876 KB Output is correct
72 Correct 167 ms 14896 KB Output is correct
73 Correct 171 ms 15008 KB Output is correct
74 Correct 163 ms 14812 KB Output is correct
75 Correct 162 ms 14896 KB Output is correct
76 Correct 166 ms 14920 KB Output is correct
77 Correct 178 ms 14900 KB Output is correct
78 Correct 158 ms 14960 KB Output is correct
79 Correct 157 ms 14804 KB Output is correct
80 Correct 159 ms 14840 KB Output is correct
81 Correct 0 ms 332 KB Output is correct
82 Correct 1 ms 332 KB Output is correct
83 Correct 1 ms 332 KB Output is correct
84 Correct 1 ms 332 KB Output is correct
85 Correct 1 ms 332 KB Output is correct
86 Correct 1 ms 332 KB Output is correct
87 Correct 84 ms 5556 KB Output is correct
88 Correct 79 ms 5676 KB Output is correct
89 Correct 75 ms 5564 KB Output is correct
90 Correct 73 ms 5580 KB Output is correct
91 Correct 74 ms 5588 KB Output is correct
92 Correct 79 ms 5544 KB Output is correct
93 Correct 79 ms 5572 KB Output is correct
94 Correct 81 ms 9248 KB Output is correct
95 Correct 93 ms 9212 KB Output is correct
96 Correct 79 ms 9184 KB Output is correct
97 Correct 58 ms 9992 KB Output is correct
98 Correct 59 ms 10000 KB Output is correct
99 Correct 60 ms 10048 KB Output is correct
100 Correct 71 ms 10164 KB Output is correct
101 Correct 60 ms 9952 KB Output is correct
102 Correct 63 ms 9956 KB Output is correct
103 Correct 66 ms 10020 KB Output is correct
104 Correct 64 ms 9996 KB Output is correct
105 Correct 64 ms 10004 KB Output is correct
106 Correct 64 ms 9952 KB Output is correct