#include<bits/stdc++.h>
#define fr first
#define sc second
using namespace std;
const int N = 200010;
struct Segtree{
pair <int, int> tree[4*N]; int lazy[4*N];
pair <int, int> join(pair <int, int> a, pair <int, int> b){
if(a.fr < b.fr) return a;
else if(b.fr < a.fr) return b;
if(a.sc < b.sc) return a;
return b;
}
void unlazy(int node, int l, int r){
if(lazy[node] == 0) return;
tree[node].first = lazy[node];
tree[node].second = l;
if(l != r){
lazy[2*node] = lazy[node];
lazy[2*node+1] = lazy[node];
}
lazy[node] = 0;
}
void build(int node, int l,int r){
lazy[node] = 0;
if(l == r){
tree[node] = {0, l};
return;
}
int mid = (l+r)/2;
build(2*node, l, mid);
build(2*node+1, mid+1, r);
tree[node] = join(tree[2*node], tree[2*node+1]);
return;
}
void update(int node, int l, int r, int tl, int tr, int val){
unlazy(node, tl, tr);
if(l > tr or tl > r) return;
if(l <= tl and tr <= r){
lazy[node] = val;
unlazy(node, tl, tr);
return;
}
int mid = (tl+tr)/2;
update(2*node, l, r, tl, mid, val);
update(2*node+1, l, r, mid+1,tr, val);
tree[node] = join(tree[2*node], tree[2*node+1]);
return;
}
pair <int, int> query(int node, int l, int r, int tl, int tr){
unlazy(node, tl, tr);
if(l > tr or tl > r) return {2, 0};
if(l <= tl and tr <= r) return tree[node];
int mid = (tl+tr)/2;
return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
}
} seg[2];
struct Segtree2{
pair <int, int> tree[4*N]; int lazy[4*N];
pair <int, int> join(pair <int, int> a, pair <int, int> b){
if(a.fr < b.fr) return a;
if(a.fr > b.fr) return b;
return a;
}
void unlazy(int node, int l, int r){
tree[node].first += lazy[node];
if(l != r){
lazy[2*node] += lazy[node];
lazy[2*node+1] += lazy[node];
}
lazy[node] = 0;
}
void build(int node, int l,int r){
lazy[node] = 0;
if(l == r){
tree[node] = {0, l};
return;
}
int mid = (l+r)/2;
build(2*node, l, mid);
build(2*node+1, mid+1, r);
tree[node] = join(tree[2*node], tree[2*node+1]);
return;
}
void update(int node, int l, int r, int tl, int tr, int val){
unlazy(node, tl, tr);
if(l > tr or tl > r) return;
if(l <= tl and tr <= r){
lazy[node] += val;
unlazy(node, tl, tr);
return;
}
int mid = (tl+tr)/2;
update(2*node, l, r, tl, mid, val);
update(2*node+1, l, r, mid+1,tr, val);
tree[node] = join(tree[2*node], tree[2*node+1]);
return;
}
pair <int, int> query(int node, int l, int r, int tl, int tr){
unlazy(node, tl, tr);
if(l > tr or tl > r) return {1e9, 0};
if(l <= tl and tr <= r) return tree[node];
int mid = (tl+tr)/2;
return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
}
} segint;
vector <array <int, 3>> intervalos;
int res[N];
int main(){
int n, m;
cin >> n >> m;
for(int i = 1;i <= m;i++){
int a, b;
cin >> a >> b;
intervalos.push_back({a, -b, i-1});
}
sort(intervalos.begin(), intervalos.end());
for(int i = 0;i < m;i++){
intervalos[i][1] *= -1;
}
segint.build(1, 1, n);
for(auto [a, b, i] : intervalos){
if(b > a){
segint.update(1, a, b-1, 1, n, 1);
}
else if(b < a){
segint.update(1, a, n, 1, n, 1);
if(b == 1) continue;
segint.update(1, 1, b-1, 1, n, 1);
}
}
pair <int, int> t = segint.query(1, 1, n, 1, n);
if(t.fr <= 1){
seg[0].build(1, 1, n);
seg[1].build(1, 1, n);
int st = t.sc+1;
if(st > n) st = 1;
map <int, int> aux;
for(int i = 0;i < n;i++){
int d = st+i;
if(d > n) d %= n;
aux[d] = i+1;
}
array <int, 3> amigao = {-1, -1, -1};
vector <array <int, 3>> aaa;
for(int i = 0;i < m;i++){
intervalos[i][0] = aux[intervalos[i][0]];
intervalos[i][1] = aux[intervalos[i][1]];
if(intervalos[i][1] < intervalos[i][0]){
amigao = intervalos[i];
}
else{
aaa.push_back({intervalos[i][0], -intervalos[i][1], intervalos[i][2]});
}
}
intervalos = aaa;
sort(intervalos.begin(), intervalos.end());
for(int i = 0;i < intervalos.size();i++){
intervalos[i][1] *= -1;
}
if(amigao[0] != -1){
res[amigao[2]] = 0;
seg[0].update(1, amigao[0], n, 1, n, 1);
seg[0].update(1, 1, amigao[1], 1, n, 1);
}
for(int i = 0;i < intervalos.size();i++){
auto [l, r, _] = intervalos[i];
pair <int, int> a = seg[0].query(1, l, r, 1, n);
pair <int, int> b = seg[1].query(1, l, r, 1, n);
if(a.fr == 1 and b.fr == 1){
res[_] = 0;
continue;
}
else if(a.fr == 1 and b.fr == 0){
res[_] = 1;
seg[1].update(1, l, r, 1, n, 1);
}
else if(a.fr == 0 and b.fr == 1){
res[_] = 0;
seg[0].update(1, l, r, 1, n, 1);
}
else{
if(a.sc < b.sc){
res[_] = 0;
seg[0].update(1, l, r, 1, n, 1);
}
else{
res[_] = 1;
seg[1].update(1, l, r, 1, n, 1);
}
}
}
if(seg[0].query(1, 1, n, 1, n).fr != 1 or seg[1].query(1, 1, n, 1, n).sc != 1){
cout << "impossible\n";
return 0;
}
for(int i = 0;i < m;i++){
cout << res[i];
}
cout << '\n';
}
else{
for(int i = 0;i < m;i++){
if(intervalos[i][1] < intervalos[i][0]) intervalos[i][1] += n;
intervalos[i][1] *= -1;
}
sort(intervalos.begin(), intervalos.end());
for(int i = 0;i < m;i++){
intervalos[i][1] *= -1;
if(intervalos[i][1] > n) intervalos[i][1] -= n;
}
seg[0].build(1, 1, n);
seg[1].build(1, 1, n);
for(int i = 0;i < intervalos.size();i++){
auto [l, r, _] = intervalos[i];
if(l < r){
pair <int, int> a = seg[0].query(1, l, r, 1, n);
pair <int, int> b = seg[1].query(1, l, r, 1, n);
if(a.fr == 1 and b.fr == 1){
res[_] = 0;
continue;
}
else if(a.fr == 1 and b.fr == 0){
res[_] = 1;
seg[1].update(1, l, r, 1, n, 1);
}
else if(a.fr == 0 and b.fr == 1){
res[_] = 0;
seg[0].update(1, l, r, 1, n, 1);
}
else{
if(a.sc < b.sc){
res[_] = 0;
seg[0].update(1, l, r, 1, n, 1);
}
else{
res[_] = 1;
seg[1].update(1, l, r, 1, n, 1);
}
}
}
else{
pair <int, int> a = seg[0].query(1, l, n, 1, n);
pair <int, int> b = seg[1].query(1, l, n, 1, n);
if(a.fr == 1 and b.fr == 1){
a = seg[0].query(1, 1, r, 1, n);
b = seg[1].query(1, 1, r, 1, n);
if(a.fr == 1 and b.fr == 1){
res[_] = 0;
continue;
}
else if(a.fr == 1 and b.fr == 0){
res[_] = 1;
seg[1].update(1, l, n, 1, n, 1);
seg[1].update(1, 1, r, 1, n, 1);
}
else if(a.fr == 0 and b.fr == 1){
res[_] = 0;
seg[0].update(1, l, n, 1, n, 1);
seg[0].update(1, 1, r, 1, n, 1);
}
else{
if(a.sc < b.sc){
res[_] = 0;
seg[0].update(1, l, n, 1, n, 1);
seg[0].update(1, 1, r, 1, n, 1);
}
else{
res[_] = 1;
seg[1].update(1, l, n, 1, n, 1);
seg[1].update(1, 1, r, 1, n, 1);
}
}
continue;
}
else if(a.fr == 1 and b.fr == 0){
res[_] = 1;
seg[1].update(1, l, n, 1, n, 1);
seg[1].update(1, 1, r, 1, n, 1);
}
else if(a.fr == 0 and b.fr == 1){
res[_] = 0;
seg[0].update(1, l, n, 1, n, 1);
seg[0].update(1, 1, r, 1, n, 1);
}
else{
if(a.sc < b.sc){
res[_] = 0;
seg[0].update(1, l, n, 1, n, 1);
seg[0].update(1, 1, r, 1, n, 1);
}
else{
res[_] = 1;
seg[1].update(1, l, n, 1, n, 1);
seg[1].update(1, 1, r, 1, n, 1);
}
}
}
}
for(int i = 0;i < m;i++){
cout << res[i];
}
cout << '\n';
}
}
Compilation message
alternating.cpp: In function 'int main()':
alternating.cpp:164:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
164 | for(int i = 0;i < intervalos.size();i++){
| ~~^~~~~~~~~~~~~~~~~~~
alternating.cpp:172:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
172 | for(int i = 0;i < intervalos.size();i++){
| ~~^~~~~~~~~~~~~~~~~~~
alternating.cpp:220:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 3> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
220 | for(int i = 0;i < intervalos.size();i++){
| ~~^~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
24912 KB |
Output is correct |
2 |
Correct |
4 ms |
23632 KB |
Output is correct |
3 |
Correct |
5 ms |
23632 KB |
Output is correct |
4 |
Correct |
6 ms |
23632 KB |
Output is correct |
5 |
Correct |
4 ms |
25084 KB |
Output is correct |
6 |
Correct |
4 ms |
24912 KB |
Output is correct |
7 |
Correct |
3 ms |
24912 KB |
Output is correct |
8 |
Correct |
3 ms |
24912 KB |
Output is correct |
9 |
Correct |
3 ms |
24912 KB |
Output is correct |
10 |
Correct |
6 ms |
23632 KB |
Output is correct |
11 |
Incorrect |
5 ms |
23756 KB |
no wires in direction 1 between segments 2 and 2 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
24912 KB |
Output is correct |
2 |
Correct |
4 ms |
23632 KB |
Output is correct |
3 |
Correct |
5 ms |
23632 KB |
Output is correct |
4 |
Correct |
6 ms |
23632 KB |
Output is correct |
5 |
Correct |
4 ms |
25084 KB |
Output is correct |
6 |
Correct |
4 ms |
24912 KB |
Output is correct |
7 |
Correct |
3 ms |
24912 KB |
Output is correct |
8 |
Correct |
3 ms |
24912 KB |
Output is correct |
9 |
Correct |
3 ms |
24912 KB |
Output is correct |
10 |
Correct |
6 ms |
23632 KB |
Output is correct |
11 |
Incorrect |
5 ms |
23756 KB |
no wires in direction 1 between segments 2 and 2 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
24912 KB |
Output is correct |
2 |
Correct |
4 ms |
23632 KB |
Output is correct |
3 |
Correct |
5 ms |
23632 KB |
Output is correct |
4 |
Correct |
6 ms |
23632 KB |
Output is correct |
5 |
Correct |
4 ms |
25084 KB |
Output is correct |
6 |
Correct |
4 ms |
24912 KB |
Output is correct |
7 |
Correct |
3 ms |
24912 KB |
Output is correct |
8 |
Correct |
3 ms |
24912 KB |
Output is correct |
9 |
Correct |
3 ms |
24912 KB |
Output is correct |
10 |
Correct |
6 ms |
23632 KB |
Output is correct |
11 |
Incorrect |
5 ms |
23756 KB |
no wires in direction 1 between segments 2 and 2 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
97 ms |
33980 KB |
Output is correct |
2 |
Correct |
21 ms |
33872 KB |
Output is correct |
3 |
Correct |
99 ms |
31424 KB |
Output is correct |
4 |
Correct |
97 ms |
31936 KB |
Output is correct |
5 |
Correct |
140 ms |
34112 KB |
Output is correct |
6 |
Correct |
143 ms |
33164 KB |
Output is correct |
7 |
Correct |
129 ms |
34508 KB |
Output is correct |
8 |
Correct |
30 ms |
29776 KB |
Output is correct |
9 |
Correct |
27 ms |
29520 KB |
Output is correct |
10 |
Correct |
135 ms |
37316 KB |
Output is correct |
11 |
Correct |
113 ms |
32860 KB |
Output is correct |
12 |
Correct |
115 ms |
37064 KB |
Output is correct |
13 |
Correct |
21 ms |
30288 KB |
Output is correct |
14 |
Correct |
19 ms |
31824 KB |
Output is correct |
15 |
Correct |
128 ms |
33212 KB |
Output is correct |
16 |
Correct |
97 ms |
32704 KB |
Output is correct |
17 |
Correct |
190 ms |
34492 KB |
Output is correct |
18 |
Correct |
120 ms |
29428 KB |
Output is correct |
19 |
Correct |
36 ms |
30800 KB |
Output is correct |
20 |
Correct |
123 ms |
31208 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
24912 KB |
Output is correct |
2 |
Correct |
4 ms |
23632 KB |
Output is correct |
3 |
Correct |
5 ms |
23632 KB |
Output is correct |
4 |
Correct |
6 ms |
23632 KB |
Output is correct |
5 |
Correct |
4 ms |
25084 KB |
Output is correct |
6 |
Correct |
4 ms |
24912 KB |
Output is correct |
7 |
Correct |
3 ms |
24912 KB |
Output is correct |
8 |
Correct |
3 ms |
24912 KB |
Output is correct |
9 |
Correct |
3 ms |
24912 KB |
Output is correct |
10 |
Correct |
6 ms |
23632 KB |
Output is correct |
11 |
Incorrect |
5 ms |
23756 KB |
no wires in direction 1 between segments 2 and 2 |
12 |
Halted |
0 ms |
0 KB |
- |