#include <iostream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <cstring>
#include <chrono>
#include <vector>
#include <map>
#include <random>
#include <set>
#include <algorithm>
#include <math.h>
#include <cstdio>
#include <stdio.h>
#include <queue>
#include <bitset>
#include <cstdlib>
#include <deque>
#include <cassert>
#include <stack>
using namespace std;
#define mp make_pair
#define f first
#define se second
#define pb push_back
#define ppb pop_back
#define emb emplace_back
#define ll long long
#define ull unsigned long long
#define cntbit(x) __builtin_popcount(x)
#define endl '\n'
#define uset unordered_set
#define umap unordered_map
#define pii pair<int, int>
#define ld long double
#define pll pair<long long, long long>
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T> inline T range(T l, T r) {
return uniform_int_distribution<T>(l, r)(rng);
}
inline void setin(string s) {
freopen(s.c_str(), "r", stdin);
}
inline void setout(string s) {
freopen(s.c_str(), "w", stdout);
}
template <typename T> void Min(T &a, T b) {
a = min(a, b);
}
template <typename T> void Max(T &a, T b) {
a = max(a, b);
}
#define int long long
const int mod = 1e9 + 7;
const int inf = 2e9;
const int N = 5e5 + 15;
int n, m, a[N];
vector <int> g[N];
bool used[N];
set <pii> cur;
int deg[N], d[N];
int p[N], sz[N];
pii e[N];
int ans[N];
vector <int> comp[N];
set <int> cycles;
vector <int> inc;
int pref[2][N];
vector <int> G[N];
bool tw[N];
bool used2[N];
int find(int v) {
if(v == p[v])
return v;
return p[v] = find(p[v]);
}
void unio(int a, int b) {
a = find(a);
b = find(b);
if(a != b) {
if(sz[a] < sz[b])
swap(a, b);
p[b] = a;
sz[a] += sz[b];
}
}
inline int gt(int i, int v) {
return e[i].f == v ? e[i].se : e[i].f;
}
void precheck(int v, int p = -1) {
used[v] = true;
for(int ind : g[v]) {
int to = gt(ind, v);
if(to == p)
continue;
if(used[to]) {
if(d[to] > d[v])
continue;
if((d[v] - d[to]) & 1) {
cout << 0 << endl;
exit(0);
}
}
else {
d[to] = d[v] + 1;
precheck(to, v);
}
}
}
vector <int> now;
void dfs(int v) {
used[v] = true;
now.pb(v);
for(int ind : g[v]) {
int to = gt(ind, v);
if(used[to] || find(v) != find(to))
continue;
dfs(to);
}
}
inline int get(int k, int l, int r) {
k = (k + 10) & 1;
Max(l, 0LL);
if(l > r)
return 0;
return pref[k][r] - (l == 0 ? 0 : pref[k][l-1]);
}
void solve_for_cycle(int s) {
if(sz[s] == 1)
return;
now.clear();
dfs(comp[s][0]);
int sum = 0;
for(int v : now)
sum += a[v];
for(int i = 0; i < now.size(); ++i) {
for(int j = 0; j < 2; ++j)
pref[j][i] = (i == 0 ? 0 : pref[j][i-1]);
pref[i & 1][i] += a[now[i]];
}
for(int i = 0; i + 1 < now.size(); ++i) {
int v = now[i];
int ind = -1;
for(int j = 0; j < g[v].size(); ++j)
if(gt(g[v][j], v) == now[i + 1])
ind = g[v][j];
assert(ind != -1);
int val = get(i + 2, i + 2, now.size() - 1) + get(i - 1, 0, i - 1);
ans[ind] = sum - 2 * val;
}
int v = now.back();
int ind = -1;
for(int j = 0; j < g[v].size(); ++j)
if(gt(g[v][j], v) == now[0])
ind = g[v][j];
int val = get(1, 1, now.size() - 2);
ans[ind] = sum - 2 * val;
}
main() {
for(int i = 0; i < N; ++i)
p[i] = i, sz[i] = 1;
ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0);
// setin("input.txt");
cin >> n >> m;
for(int i = 1; i <= n; ++i)
cin >> a[i];
for(int i = 1; i <= m; ++i) {
cin >> e[i].f >> e[i].se;
g[e[i].f].pb(i);
g[e[i].se].pb(i);
}
precheck(1);
for(int i = 1; i <= n; ++i)
deg[i] = g[i].size(), cur.insert({g[i].size(), i});
memset(used, 0, sizeof(used));
while(!cur.empty()) {
int v = cur.begin()->se;
cur.erase(cur.begin());
used[v] = true;
for(int ind : g[v]) {
int to = gt(ind, v);
if(used[to] && deg[to] == 0)
a[v] -= ans[ind] / 2;
}
if(deg[v] != 1)
continue;
deg[v] = 0;
for(int ind : g[v]) {
int to = gt(ind, v);
if(used[to])
continue;
ans[ind] = 2 * a[v];
cur.erase({deg[to], to});
--deg[to];
cur.insert({deg[to], to});
}
}
for(int v = 1; v <= n; ++v) {
for(int ind : g[v]) {
int to = gt(ind, v);
if(deg[v] > 1 && deg[to] > 1)
unio(v, to);
}
}
for(int v = 1; v <= n; ++v) {
for(int ind : g[v]) {
int to = gt(ind, v);
if(find(v) != find(to) && deg[v] != 0 && deg[to] != 0) {
G[find(v)].pb(ind);
G[find(to)].pb(ind);
}
}
}
memset(used, 0, sizeof(used));
cur.clear();
for(int i = 1; i <= n; ++i) {
if(deg[find(i)] != 0) {
comp[find(i)].pb(i);
deg[find(i)] = G[find(i)].size();
cur.insert({deg[find(i)], find(i)});
}
}
memset(used, 0, sizeof(used));
while(!cur.empty()) {
int v = cur.begin()->se;
cur.erase(cur.begin());
used2[v] = true;
for(int ind : G[v]) {
int x = e[ind].f, y = e[ind].se;
int to = (find(x) == v ? find(y) : find(x));
if(used2[to])
a[find(x) == v ? x : y] -= ans[ind] / 2;
}
solve_for_cycle(v);
for(int ind : G[v]) {
int x = e[ind].f, y = e[ind].se;
int to = (find(x) == v ? find(y) : find(x));
if(used2[to])
continue;
ans[ind] = 2 * a[find(x) == v ? x : y];
cur.erase({deg[to], to});
--deg[to];
cur.insert({deg[to], to});
}
}
for(int i = 1; i <= m; ++i)
cout << ans[i] << endl;
return 0;
}
Compilation message
pipes.cpp: In function 'void solve_for_cycle(long long int)':
pipes.cpp:160:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < now.size(); ++i) {
~~^~~~~~~~~~~~
pipes.cpp:165:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i + 1 < now.size(); ++i) {
~~~~~~^~~~~~~~~~~~
pipes.cpp:168:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < g[v].size(); ++j)
~~^~~~~~~~~~~~~
pipes.cpp:177:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < g[v].size(); ++j)
~~^~~~~~~~~~~~~
pipes.cpp: At global scope:
pipes.cpp:184:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main() {
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
27 ms |
43904 KB |
Output is correct |
2 |
Correct |
23 ms |
43904 KB |
Output is correct |
3 |
Correct |
31 ms |
44024 KB |
Output is correct |
4 |
Correct |
199 ms |
58984 KB |
Output is correct |
5 |
Correct |
25 ms |
43944 KB |
Output is correct |
6 |
Correct |
29 ms |
43904 KB |
Output is correct |
7 |
Correct |
22 ms |
43904 KB |
Output is correct |
8 |
Correct |
25 ms |
43904 KB |
Output is correct |
9 |
Correct |
24 ms |
44032 KB |
Output is correct |
10 |
Correct |
23 ms |
44032 KB |
Output is correct |
11 |
Correct |
26 ms |
44032 KB |
Output is correct |
12 |
Correct |
24 ms |
44164 KB |
Output is correct |
13 |
Correct |
163 ms |
55928 KB |
Output is correct |
14 |
Correct |
191 ms |
58232 KB |
Output is correct |
15 |
Correct |
206 ms |
59128 KB |
Output is correct |
16 |
Correct |
175 ms |
56824 KB |
Output is correct |
17 |
Correct |
205 ms |
59000 KB |
Output is correct |
18 |
Correct |
207 ms |
59128 KB |
Output is correct |
19 |
Correct |
201 ms |
61560 KB |
Output is correct |
20 |
Correct |
25 ms |
43904 KB |
Output is correct |
21 |
Correct |
31 ms |
44032 KB |
Output is correct |
22 |
Correct |
259 ms |
59128 KB |
Output is correct |
23 |
Correct |
205 ms |
55928 KB |
Output is correct |
24 |
Correct |
212 ms |
59128 KB |
Output is correct |
25 |
Correct |
170 ms |
56568 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
24 ms |
43904 KB |
Output is correct |
2 |
Correct |
24 ms |
44160 KB |
Output is correct |
3 |
Correct |
89 ms |
52576 KB |
Output is correct |
4 |
Runtime error |
265 ms |
118424 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
5 |
Runtime error |
258 ms |
106920 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
6 |
Correct |
289 ms |
66296 KB |
Output is correct |
7 |
Correct |
28 ms |
43904 KB |
Output is correct |
8 |
Correct |
24 ms |
43904 KB |
Output is correct |
9 |
Correct |
28 ms |
43392 KB |
Output is correct |
10 |
Runtime error |
70 ms |
88812 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
11 |
Runtime error |
71 ms |
88824 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
12 |
Runtime error |
74 ms |
88824 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
13 |
Correct |
23 ms |
43392 KB |
Output is correct |
14 |
Correct |
28 ms |
43904 KB |
Output is correct |
15 |
Correct |
25 ms |
44160 KB |
Output is correct |
16 |
Correct |
25 ms |
44160 KB |
Output is correct |
17 |
Correct |
25 ms |
43520 KB |
Output is correct |
18 |
Runtime error |
74 ms |
89208 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
19 |
Runtime error |
69 ms |
89208 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
20 |
Runtime error |
69 ms |
89080 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
21 |
Correct |
24 ms |
43648 KB |
Output is correct |
22 |
Correct |
25 ms |
44160 KB |
Output is correct |
23 |
Correct |
177 ms |
58848 KB |
Output is correct |
24 |
Correct |
203 ms |
61560 KB |
Output is correct |
25 |
Correct |
79 ms |
52600 KB |
Output is correct |
26 |
Runtime error |
240 ms |
116980 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
27 |
Runtime error |
307 ms |
118572 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
28 |
Runtime error |
333 ms |
108408 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
29 |
Correct |
258 ms |
61944 KB |
Output is correct |
30 |
Correct |
195 ms |
63412 KB |
Output is correct |
31 |
Correct |
267 ms |
63480 KB |
Output is correct |
32 |
Correct |
291 ms |
59512 KB |
Output is correct |
33 |
Correct |
112 ms |
53496 KB |
Output is correct |
34 |
Runtime error |
234 ms |
116216 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
35 |
Runtime error |
325 ms |
118396 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
36 |
Runtime error |
341 ms |
107640 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
37 |
Correct |
293 ms |
66296 KB |
Output is correct |
38 |
Correct |
274 ms |
62712 KB |
Output is correct |
39 |
Correct |
224 ms |
59148 KB |
Output is correct |
40 |
Correct |
268 ms |
61304 KB |
Output is correct |
41 |
Correct |
113 ms |
55288 KB |
Output is correct |
42 |
Runtime error |
241 ms |
117776 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
43 |
Runtime error |
311 ms |
120052 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
44 |
Runtime error |
296 ms |
106916 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
45 |
Correct |
200 ms |
63240 KB |
Output is correct |
46 |
Correct |
261 ms |
63992 KB |
Output is correct |
47 |
Correct |
278 ms |
61432 KB |
Output is correct |
48 |
Correct |
193 ms |
63412 KB |
Output is correct |
49 |
Correct |
76 ms |
50808 KB |
Output is correct |
50 |
Runtime error |
247 ms |
115584 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
51 |
Runtime error |
258 ms |
112168 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
52 |
Runtime error |
230 ms |
111848 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
53 |
Correct |
198 ms |
63224 KB |
Output is correct |
54 |
Correct |
215 ms |
62240 KB |
Output is correct |