oj.uz

Submission #318483

# Submission time Handle Problem Language Result Execution time Memory
318483 2020-11-02T05:35:42 Z jhnah917 Alternating Current (BOI18_alternating) C++14
0 / 100
 163 ms 12772 KB 
#include <bits/stdc++.h>
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define compress(v) sort(all(v)), v.erase(unique(all(v)), v.end())
using namespace std;

typedef long long ll;

int par[101010];
vector<int> g[101010];
int find(int v){ return v == par[v] ? v : par[v] = find(par[v]); }
void merge(int pa, int ch){ pa = find(pa); ch = find(ch); if(pa != ch) par[ch] = pa; }

struct Seg{
    int tree[1 << 18], tmp[1 << 18], n;
    void init(int _n){ n = _n; memset(tree, 0, sizeof tree); memset(tmp, 0, sizeof tree); }
    void push(int node, int s, int e){
        if(!tmp[node]) return;
        tree[node] += tmp[node];
        if(s != e){
            tmp[node << 1] += tmp[node];
            tmp[node << 1 | 1] += tmp[node];
        }
        tmp[node] = 0;
    }
    void update(int node, int s, int e, int l, int r, int v){
        push(node, s, e);
        if(r < s || e < l) return;
        if(l <= s && e <= r){
            tmp[node] += v; push(node, s, e);
            return;
        }
        int m = s + e >> 1;
        update(node << 1, s, m, l, r, v);
        update(node << 1 | 1, m+1, e, l, r, v);
        tree[node] = min(tree[node << 1], tree[node << 1 | 1]);
    }
    int query(int node, int s, int e, int l, int r){
        push(node, s, e);
        if(r < s || e < l) return 1e9;
        if(l <= s && e <= r) return tree[node];
        int m = s + e >> 1;
        int t1 = query(node << 1, s, m, l, r);
        int t2 = query(node << 1 | 1, m+1, e, l, r);
        return min(t1, t2);
    }
    void update(int s, int e, int x){
        int S = s, E = e;
        if(E >= n) E -= n;
        if(S <= E) update(1, 0, n-1, S, E, x);
        else update(1, 0, n-1, 0, E, x), update(1, 0, n-1, S, n-1, x);
    }
    int query(int s, int e){ return query(1, 0, n-1, s, e); }
} seg[2];

struct Info{
    int s, e, x, eli, color;
    Info() : Info(0, 0, 0) {}
    Info(int s, int e, int x) : s(s), e(e), x(x), eli(-1), color(-1) {}
    bool operator < (const Info &t) const { return make_pair(s, -e) < make_pair(t.s, -t.e); }
};

int n, m, ed, ed_idx;
Info a[101010];
vector<Info> v;

void calc_elimination(){
    deque<Info> dq;
    sort(a+1, a+m+1);
    for(int i=1; i<=m; i++){
        if(dq.empty() || dq.back().e < a[i].e) dq.push_back(a[i]);
        else a[i].eli = dq.back().x;
    }
    while(dq.size() && dq.front().e <= ed) a[dq[0].x].eli = ed_idx, dq.pop_front();
    for(auto i : dq) v.push_back(i);
    
    iota(par, par+101010, 0);
    for(int i=1; i<=m; i++) if(a[i].eli != -1) merge(a[i].eli, a[i].x);
    for(int i=1; i<=m; i++){
        if(a[i].eli != -1) a[i].eli = find(a[i].x), g[a[i].eli].push_back(a[i].x);
        else g[a[i].x].push_back(a[i].x);
    }
}

bool eval(){
    int t1 = seg[0].query(0, n-1);
    int t2 = seg[1].query(0, n-1);
    assert(t1 >= 0 && t2 >= 0);
    return t1 > 0 && t2 > 0;
}

void even(){
    seg[0].init(n); seg[1].init(n);
    
    for(int i=0; i<v.size(); i++) a[v[i].x].color = i % 2;
    for(int i=1; i<=m; i++) if(a[i].color == -1) a[i].color = !a[a[i].eli].color;
    
    for(int i=1; i<=m; i++){
        seg[a[i].color].update(a[i].s, a[i].e, 1);
    }
    if(eval()){
        for(int i=1; i<=m; i++) cout << a[i].color;
    }
    else cout << "impossible";
}

void odd(){
    seg[0].init(n); seg[1].init(n);
    for(int i=0; i<v.size(); i++) a[v[i].x].color = i % 2;
    for(int i=1; i<=m; i++) if(a[i].color == -1) a[i].color = !a[a[i].eli].color;
    for(int i=1; i<=m; i++){
        seg[a[i].color].update(a[i].s, a[i].e, 1);
    }
    if(eval()){ for(int j=1; j<=m; j++) cout << a[j].color; return; }
    
    for(int i=0; i<v.size(); i++){
        for(auto j : g[v[i].x]){
            seg[a[j].color].update(a[j].s, a[j].e, -1);
            a[j].color ^= 1;
            seg[a[j].color].update(a[j].s, a[j].e, 1);
        }
        if(eval()){ for(int j=1; j<=m; j++) cout << a[j].color; return; }
    }
    cout << "impossible";
}

int main(){
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    cin >> n >> m;
    for(int i=1; i<=m; i++){
        int s, e; cin >> s >> e; s--; e--;
        if(s > e){
            if(ed < e) ed = e, ed_idx = i;
            e += n;
        }
        a[i] = {s, e, i};
    }
    calc_elimination();
    sort(a+1, a+m+1, [](Info a, Info b){ return a.x < b.x; });
    if(v.size() % 2 == 0) even();
    else odd();
}

Compilation message

alternating.cpp: In member function 'void Seg::update(int, int, int, int, int, int)':
alternating.cpp:34:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   34 |         int m = s + e >> 1;
      |                 ~~^~~
alternating.cpp: In member function 'int Seg::query(int, int, int, int, int)':
alternating.cpp:43:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   43 |         int m = s + e >> 1;
      |                 ~~^~~
alternating.cpp: In function 'void even()':
alternating.cpp:96:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Info>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |     for(int i=0; i<v.size(); i++) a[v[i].x].color = i % 2;
      |                  ~^~~~~~~~~
alternating.cpp: In function 'void odd()':
alternating.cpp:110:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Info>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  110 |     for(int i=0; i<v.size(); i++) a[v[i].x].color = i % 2;
      |                  ~^~~~~~~~~
alternating.cpp:117:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Info>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  117 |     for(int i=0; i<v.size(); i++){
      |                  ~^~~~~~~~~

Subtask #1
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9196 KB Output is correct
2 Correct 6 ms 9196 KB Output is correct
3 Correct 6 ms 9196 KB Output is correct
4 Correct 6 ms 9196 KB Output is correct
5 Correct 6 ms 9196 KB Output is correct
6 Correct 6 ms 9196 KB Output is correct
7 Correct 6 ms 9196 KB Output is correct
8 Correct 6 ms 9196 KB Output is correct
9 Correct 6 ms 9196 KB Output is correct
10 Correct 6 ms 9196 KB Output is correct
11 Correct 5 ms 9196 KB Output is correct
12 Correct 6 ms 9196 KB Output is correct
13 Correct 6 ms 9196 KB Output is correct
14 Correct 7 ms 9196 KB Output is correct
15 Incorrect 6 ms 9196 KB 'impossible' claimed, but there is a solution
16 Halted 0 ms 0 KB -

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9196 KB Output is correct
2 Correct 6 ms 9196 KB Output is correct
3 Correct 6 ms 9196 KB Output is correct
4 Correct 6 ms 9196 KB Output is correct
5 Correct 6 ms 9196 KB Output is correct
6 Correct 6 ms 9196 KB Output is correct
7 Correct 6 ms 9196 KB Output is correct
8 Correct 6 ms 9196 KB Output is correct
9 Correct 6 ms 9196 KB Output is correct
10 Correct 6 ms 9196 KB Output is correct
11 Correct 5 ms 9196 KB Output is correct
12 Correct 6 ms 9196 KB Output is correct
13 Correct 6 ms 9196 KB Output is correct
14 Correct 7 ms 9196 KB Output is correct
15 Incorrect 6 ms 9196 KB 'impossible' claimed, but there is a solution
16 Halted 0 ms 0 KB -

Subtask #3
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9196 KB Output is correct
2 Correct 6 ms 9196 KB Output is correct
3 Correct 6 ms 9196 KB Output is correct
4 Correct 6 ms 9196 KB Output is correct
5 Correct 6 ms 9196 KB Output is correct
6 Correct 6 ms 9196 KB Output is correct
7 Correct 6 ms 9196 KB Output is correct
8 Correct 6 ms 9196 KB Output is correct
9 Correct 6 ms 9196 KB Output is correct
10 Correct 6 ms 9196 KB Output is correct
11 Correct 5 ms 9196 KB Output is correct
12 Correct 6 ms 9196 KB Output is correct
13 Correct 6 ms 9196 KB Output is correct
14 Correct 7 ms 9196 KB Output is correct
15 Incorrect 6 ms 9196 KB 'impossible' claimed, but there is a solution
16 Halted 0 ms 0 KB -

Subtask #4
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 9828 KB Output is correct
2 Correct 7 ms 9196 KB Output is correct
3 Correct 100 ms 9456 KB Output is correct
4 Correct 47 ms 9584 KB Output is correct
5 Correct 97 ms 12124 KB Output is correct
6 Correct 163 ms 11356 KB Output is correct
7 Correct 89 ms 10404 KB Output is correct
8 Correct 9 ms 9324 KB Output is correct
9 Correct 7 ms 9196 KB Output is correct
10 Correct 105 ms 12380 KB Output is correct
11 Correct 72 ms 10976 KB Output is correct
12 Correct 78 ms 9820 KB Output is correct
13 Correct 7 ms 9196 KB Output is correct
14 Correct 6 ms 9196 KB Output is correct
15 Correct 87 ms 9868 KB Output is correct
16 Correct 107 ms 12772 KB Output is correct
17 Correct 141 ms 9824 KB Output is correct
18 Correct 104 ms 9816 KB Output is correct
19 Correct 13 ms 9196 KB Output is correct
20 Incorrect 121 ms 12764 KB 'impossible' claimed, but there is a solution

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9196 KB Output is correct
2 Correct 6 ms 9196 KB Output is correct
3 Correct 6 ms 9196 KB Output is correct
4 Correct 6 ms 9196 KB Output is correct
5 Correct 6 ms 9196 KB Output is correct
6 Correct 6 ms 9196 KB Output is correct
7 Correct 6 ms 9196 KB Output is correct
8 Correct 6 ms 9196 KB Output is correct
9 Correct 6 ms 9196 KB Output is correct
10 Correct 6 ms 9196 KB Output is correct
11 Correct 5 ms 9196 KB Output is correct
12 Correct 6 ms 9196 KB Output is correct
13 Correct 6 ms 9196 KB Output is correct
14 Correct 7 ms 9196 KB Output is correct
15 Incorrect 6 ms 9196 KB 'impossible' claimed, but there is a solution
16 Halted 0 ms 0 KB -