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Submission #587028

# Submission time Handle Problem Language Result Execution time Memory
587028 2022-07-01T08:21:18 Z 반딧불(#8396) Mixture (BOI20_mixture) C++17
60 / 100
 2000 ms 4408 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef TEST
typedef long long ll;
#else
typedef __int128 ll;
#endif

struct vector2{
    ll x, y;
    vector2(){}
    vector2(ll x, ll y): x(x), y(y){}

    vector2 operator-()const{
        return vector2(-x, -y);
    }

    vector2 operator-(const vector2 &r)const{
        return vector2(x-r.x, y-r.y);
    }

    ll cross(vector2 r)const{
        return x*r.y - y*r.x;
    }

    bool operator<(const vector2 &r)const{
        if((make_pair(y, x) > make_pair(ll(0), ll(0))) ^ (make_pair(r.y, r.x) > make_pair(ll(0), ll(0)))){
            return make_pair(y, x) > make_pair(ll(0), ll(0));
        }
        return (vector2(0, 0) - *this).cross(r - *this) < 0;
    }

    bool operator==(const vector2 &r)const{
        return x==r.x && y==r.y;
    }
};

ll ccw(vector2 a, vector2 b){
    return a.cross(b);
}

ll ccw(vector2 a, vector2 b, vector2 c){
    return (b-a).cross(c-a);
}

ll mabs(ll x){
    return x>=0?x:-x;
}

vector2 calc(ll A, ll B, ll C, ll x, ll y, ll z){
    C += A+B, z += x+y;
    A*=z, B*=z, x*=C, y*=C;
    x-=A, y-=B;
    ll g = mabs(__gcd(x, y));
    if(g) x/=g, y/=g;
    return vector2(x, y);
}

long long A, B, C;
int n;
vector2 arr[100002];
int arrCnt;

/// ans=1 ���
int oneCnt;

/// ans=2 ���
map<vector2, ll> twoMp;
ll twoCnt;

/// ans=3 ���
map<vector2, int> threeMp;
bool threeCnt; /// 180�� �ʰ��� ������ ���°�?

bool large(vector2 a, vector2 b){
    return ccw(a, vector2(0, 0), b) > 0;
}

bool calc3(){
    vector2 prv;
    if(threeMp.size() <= 2) return false;
    for(auto it = threeMp.begin(); it != threeMp.end(); ++it){
        if(it == threeMp.begin()){
            prv = it->first;
            continue;
        }
        if(large(prv, it->first)) return false;
        prv = it->first;
    }
    if(large(prv, threeMp.begin()->first)) return false;
    return true;
}

void addPoint(){
    long long x, y, z;
    scanf("%lld %lld %lld", &x, &y, &z);
    int i = ++arrCnt;
    arr[i] = calc(A, B, C, x, y, z);

    /// ans=1 update
    if(arr[i] == vector2(0, 0)){
        oneCnt++;
        return;
    }

    /// ans=2 update
    twoMp[arr[i]]++;
    twoCnt += twoMp[-arr[i]];

    /// ans=3 update
    if((int)threeMp.size() < 2){
        threeMp[arr[i]]++;
        threeCnt = 0;
        return;
    }
    if(threeMp.find(arr[i]) != threeMp.end() || threeCnt){
        threeMp[arr[i]]++;
        return;
    }

    /// ū ������ ����
    auto it = threeMp.lower_bound(arr[i]);
    bool delOrig = 0;
    if(it == threeMp.begin()) delOrig = large(threeMp.rbegin()->first, threeMp.begin()->first);
    else delOrig = large(prev(it)->first, it->first);
    if(delOrig) threeCnt = 1;
    threeMp[arr[i]]++;
    threeCnt = calc3();
    return;

    threeMp[arr[i]]++;
//    for(auto p: threeMp) printf("(%lld, %lld) ", p.first.x, p.first.y);
//    puts("");
    it = threeMp.lower_bound(arr[i]);
    assert(it != threeMp.end());
    bool newOrig = 0;
    if(it == prev(threeMp.end())) newOrig |= large(it->first, threeMp.begin()->first);
    else newOrig |= large(it->first, next(it)->first);
    if(it == threeMp.begin()) newOrig |= large(threeMp.rbegin()->first, it->first);
    else newOrig |= large(prev(it)->first, it->first);
    if(newOrig) threeCnt = 0;
}

void delPoint(){
    int i;
    scanf("%d", &i);

    /// ans=1 update
    if(arr[i] == vector2(0, 0)){
        oneCnt--;
        return;
    }

    /// ans=2 update
    twoCnt -= twoMp[-arr[i]];
    twoMp[arr[i]]--;

    /// ans=3 update
    threeMp[arr[i]]--;
    if(!threeMp[arr[i]]) threeMp.erase(arr[i]);
    threeCnt = calc3();
    return;

    if((int)threeMp.size() <= 2){
        threeMp[arr[i]]--;
        if(!threeMp[arr[i]]) threeMp.erase(arr[i]);
        threeCnt = 0;
        return;
    }
    if(threeMp[arr[i]] > 1 || !threeCnt){
        threeMp[arr[i]]--;
        return;
    }

    threeMp.erase(arr[i]);

    if((int)threeMp.size() <= 2){
        threeCnt = 0;
        return;
    }

    auto it = threeMp.lower_bound(arr[i]);
    bool newOrig = 0;
    if(it == threeMp.begin() || it == threeMp.end()) newOrig = large(threeMp.rbegin()->first, threeMp.begin()->first);
    else newOrig = large(prev(it)->first, it->first);
    if(newOrig) threeCnt = 0;
}

void print(){
    if(oneCnt) puts("1");
    else if(twoCnt) puts("2");
    else if(threeCnt) puts("3");
    else puts("0");
}

int main(){
    scanf("%lld %lld %lld %d", &A, &B, &C, &n);
    for(int i=1; i<=n; i++){
        char c;
        scanf(" %c", &c);
        if(c=='A') addPoint();
        else delPoint();
        print();
    }
}

Compilation message

Mixture.cpp: In function 'void addPoint()':
Mixture.cpp:98:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   98 |     scanf("%lld %lld %lld", &x, &y, &z);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Mixture.cpp: In function 'void delPoint()':
Mixture.cpp:148:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  148 |     scanf("%d", &i);
      |     ~~~~~^~~~~~~~~~
Mixture.cpp: In function 'int main()':
Mixture.cpp:199:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  199 |     scanf("%lld %lld %lld %d", &A, &B, &C, &n);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Mixture.cpp:202:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  202 |         scanf(" %c", &c);
      |         ~~~~~^~~~~~~~~~~
Mixture.cpp: In function 'bool calc3()':
Mixture.cpp:21:36: warning: 'prv.vector2::y' may be used uninitialized in this function [-Wmaybe-uninitialized]
   21 |         return vector2(x-r.x, y-r.y);
      |                                    ^
Mixture.cpp:82:13: note: 'prv.vector2::y' was declared here
   82 |     vector2 prv;
      |             ^~~
Mixture.cpp:21:36: warning: 'prv.vector2::x' may be used uninitialized in this function [-Wmaybe-uninitialized]
   21 |         return vector2(x-r.x, y-r.y);
      |                                    ^
Mixture.cpp:82:13: note: 'prv.vector2::x' was declared here
   82 |     vector2 prv;
      |             ^~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 2 ms 468 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 2 ms 468 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 3 ms 468 KB Output is correct
45 Correct 4 ms 468 KB Output is correct
46 Correct 13 ms 812 KB Output is correct
47 Correct 15 ms 872 KB Output is correct
48 Correct 2 ms 340 KB Output is correct
49 Correct 4 ms 340 KB Output is correct
50 Correct 3 ms 388 KB Output is correct
51 Correct 27 ms 984 KB Output is correct
52 Correct 5 ms 468 KB Output is correct
53 Correct 31 ms 992 KB Output is correct
54 Correct 14 ms 960 KB Output is correct
55 Correct 2 ms 340 KB Output is correct
56 Correct 2 ms 340 KB Output is correct

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 2 ms 468 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 2 ms 468 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 3 ms 468 KB Output is correct
45 Correct 4 ms 468 KB Output is correct
46 Correct 13 ms 812 KB Output is correct
47 Correct 15 ms 872 KB Output is correct
48 Correct 2 ms 340 KB Output is correct
49 Correct 4 ms 340 KB Output is correct
50 Correct 3 ms 388 KB Output is correct
51 Correct 27 ms 984 KB Output is correct
52 Correct 5 ms 468 KB Output is correct
53 Correct 31 ms 992 KB Output is correct
54 Correct 14 ms 960 KB Output is correct
55 Correct 2 ms 340 KB Output is correct
56 Correct 2 ms 340 KB Output is correct
57 Correct 5 ms 340 KB Output is correct
58 Correct 31 ms 1288 KB Output is correct
59 Correct 32 ms 1216 KB Output is correct
60 Correct 30 ms 1108 KB Output is correct
61 Correct 16 ms 864 KB Output is correct
62 Correct 14 ms 800 KB Output is correct
63 Execution timed out 2064 ms 4408 KB Time limit exceeded
64 Halted 0 ms 0 KB -