oj.uz

Submission #587037

# Submission time Handle Problem Language Result Execution time Memory
587037 2022-07-01T08:42:33 Z 반딧불(#8396) Mixture (BOI20_mixture) C++17
100 / 100
 325 ms 28588 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;
int 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);
//    x = rand()%10, y = rand()%5, z = rand()%5;
//    printf("%lld %lld %lld\n", 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(threeMp.empty()){
        threeMp[arr[i]]++;
        threeCnt = 0;
        return;
    }
    if(threeMp.find(arr[i]) != threeMp.end()){
        threeMp[arr[i]]++;
        return;
    }

    /// ū ������ ����
    auto it = threeMp.lower_bound(arr[i]);
    if(it == threeMp.begin() || it == threeMp.end()) threeCnt -= large(threeMp.rbegin()->first, threeMp.begin()->first);
    else threeCnt -= large(prev(it)->first, it->first);
    assert(threeCnt==0 || threeCnt==1);

    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());
    if(it == prev(threeMp.end())) threeCnt += large(it->first, threeMp.begin()->first);
    else threeCnt += large(it->first, next(it)->first);
    if(it == threeMp.begin()) threeCnt += large(threeMp.rbegin()->first, it->first);
    else threeCnt += large(prev(it)->first, it->first);
    assert(threeCnt==0 || threeCnt==1);
}

int deleteCnt;
void delPoint(){
    int i;
    scanf("%d", &i);
//    i = ++deleteCnt;

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

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

    /// ans=3 update
    if((int)threeMp.size() == 1 || ((int)threeMp.size() == 2 && threeMp[arr[i]] == 1)){
        threeMp[arr[i]]--;
        if(!threeMp[arr[i]]) threeMp.erase(arr[i]);
        threeCnt = 0;
        return;
    }
    if(threeMp[arr[i]] > 1){
        threeMp[arr[i]]--;
        return;
    }

    auto it = threeMp.lower_bound(arr[i]);
    if(it == prev(threeMp.end())) threeCnt -= large(it->first, threeMp.begin()->first);
    else threeCnt -= large(it->first, next(it)->first);
    if(it == threeMp.begin()) threeCnt -= large(threeMp.rbegin()->first, it->first);
    else threeCnt -= large(prev(it)->first, it->first);
    assert(threeCnt==0 || threeCnt==1);

    threeMp[arr[i]]--;
    threeMp.erase(arr[i]);

    it = threeMp.lower_bound(arr[i]);
    if(it == threeMp.begin() || it == threeMp.end()) threeCnt += large(threeMp.rbegin()->first, threeMp.begin()->first);
    else threeCnt += large(prev(it)->first, it->first);
    assert(threeCnt==0 || threeCnt==1);
}

void print(){
    if(oneCnt) puts("1");
    else if(twoCnt) puts("2");
    else if((int)threeMp.size() >= 3 && !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:146:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  146 |     scanf("%d", &i);
      |     ~~~~~^~~~~~~~~~
Mixture.cpp: In function 'int main()':
Mixture.cpp:195:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  195 |     scanf("%lld %lld %lld %d", &A, &B, &C, &n);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Mixture.cpp:198:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  198 |         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 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 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 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 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 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 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 328 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 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 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 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 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 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 328 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 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 2 ms 468 KB Output is correct
45 Correct 2 ms 468 KB Output is correct
46 Correct 6 ms 852 KB Output is correct
47 Correct 6 ms 852 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 3 ms 344 KB Output is correct
50 Correct 3 ms 340 KB Output is correct
51 Correct 8 ms 980 KB Output is correct
52 Correct 4 ms 468 KB Output is correct
53 Correct 11 ms 852 KB Output is correct
54 Correct 8 ms 920 KB Output is correct
55 Correct 2 ms 340 KB Output is correct
56 Correct 2 ms 340 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 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 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 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 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 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 328 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 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 2 ms 468 KB Output is correct
45 Correct 2 ms 468 KB Output is correct
46 Correct 6 ms 852 KB Output is correct
47 Correct 6 ms 852 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 3 ms 344 KB Output is correct
50 Correct 3 ms 340 KB Output is correct
51 Correct 8 ms 980 KB Output is correct
52 Correct 4 ms 468 KB Output is correct
53 Correct 11 ms 852 KB Output is correct
54 Correct 8 ms 920 KB Output is correct
55 Correct 2 ms 340 KB Output is correct
56 Correct 2 ms 340 KB Output is correct
57 Correct 4 ms 340 KB Output is correct
58 Correct 13 ms 1236 KB Output is correct
59 Correct 12 ms 1224 KB Output is correct
60 Correct 11 ms 1052 KB Output is correct
61 Correct 12 ms 852 KB Output is correct
62 Correct 13 ms 852 KB Output is correct
63 Correct 239 ms 19048 KB Output is correct
64 Correct 274 ms 19444 KB Output is correct
65 Correct 266 ms 15396 KB Output is correct
66 Correct 256 ms 15552 KB Output is correct
67 Correct 1 ms 296 KB Output is correct
68 Correct 1 ms 212 KB Output is correct
69 Correct 325 ms 28588 KB Output is correct
70 Correct 272 ms 23128 KB Output is correct
71 Correct 294 ms 23116 KB Output is correct
72 Correct 224 ms 17368 KB Output is correct
73 Correct 304 ms 20044 KB Output is correct