#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 pp[N];
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;
pp[v] = p;
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);
}
int u = v;
while(u != to) {
unio(u, pp[u]);
u = pp[u];
}
}
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]);
}
int calc(int i, int sum) {
int v = now[i];
int ind = -1;
int val;
if(i + 1 < now.size()) {
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);
val = get(i + 2, i + 2, now.size() - 1) + get(i - 1, 0, i - 1);
}
else {
for(int j = 0; j < g[v].size(); ++j)
if(gt(g[v][j], v) == now[0])
ind = g[v][j];
assert(ind != -1);
val = get(1, 1, now.size() - 2);
}
return ans[ind] = sum - 2 * val;
}
void solve_for_cycle(int s) {
if(sz[s] == 1) {
for(int ind : G[s]) {
int x = e[ind].f, y = e[ind].se;
if(find(y) == s)
swap(x, y);
int to = find(y);
if(used2[to])
continue;
ans[ind] = 2 * a[x];
cur.erase({deg[to], to});
--deg[to];
cur.insert({deg[to], to});
}
return;
}
int sum = 0;
for(int v : now)
sum += a[v];
now.clear();
dfs(comp[s][0]);
int start = 0;
int x, y;
for(int ind : G[s]) {
x = e[ind].f, y = e[ind].se;
if(find(y) == s)
swap(x, y);
int to = find(y);
if(!used2[to])
break;
}
for(int i = 0; i < now.size(); ++i) {
if(now[i] == x) {
start = i;
break;
}
}
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]];
}
int prev = calc(start, sum);
for(int i = start + 1; i < 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) % now.size()])
ind = g[v][j];
ans[ind] = 2 * a[v] - prev;
prev = ans[ind];
}
for(int i = 0; i < start; ++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) % now.size()])
ind = g[v][j];
ans[ind] = 2 * a[v] - prev;
prev = ans[ind];
}
int sum_of_start_in_cycle = 0;
int v = now[start];
for(int ind : g[v]) {
int to = gt(ind, v);
if(find(to) == s)
sum_of_start_in_cycle += ans[ind];
}
for(int ind : g[v]) {
int to = gt(ind, v);
// cout << find(to) << ' ' << ans[ind] << endl;
}
for(int ind : g[v]) {
int x = v, y = gt(ind, v);
if(find(y) == s)
swap(x, y);
int to = find(y);
if(!used2[to]) {
ans[ind] = 2 * a[v] - sum_of_start_in_cycle;
// cout << a[v] << ' ' << ind << ' ' << sum_of_start_in_cycle << endl;
}
}
}
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 v = 1; v <= n; ++v) {
for(int ind : g[v]) {
int to = gt(ind, v);
if(find(v) != find(to))
G[find(v)].pb(ind);
}
}
memset(used, 0, sizeof(used));
for(int i = 1; i <= n; ++i) {
comp[find(i)].pb(i);
deg[find(i)] = G[find(i)].size();
cur.insert({deg[find(i)], find(i)});
}
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;
if(find(y) == v)
swap(x, y);
int to = find(y);
if(used2[to])
a[x] -= ans[ind] / 2;
}
solve_for_cycle(v);
}
for(int i = 1; i <= n; ++i) {
int val = 0;
for(int ind : g[i])
val += ans[ind] / 2;
// cout << "asdsa: " << val << endl;
}
for(int i = 1; i <= m; ++i)
cout << ans[i] << endl;
return 0;
}
Compilation message
pipes.cpp: In function 'long long int calc(long long int, long long int)':
pipes.cpp:164:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(i + 1 < now.size()) {
~~~~~~^~~~~~~~~~~~
pipes.cpp:165:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < g[v].size(); ++j)
~~^~~~~~~~~~~~~
pipes.cpp:172:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < g[v].size(); ++j)
~~^~~~~~~~~~~~~
pipes.cpp: In function 'void solve_for_cycle(long long int)':
pipes.cpp:212:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < now.size(); ++i) {
~~^~~~~~~~~~~~
pipes.cpp:218:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < now.size(); ++i) {
~~^~~~~~~~~~~~
pipes.cpp:224:30: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = start + 1; i < now.size(); ++i) {
~~^~~~~~~~~~~~
pipes.cpp:227:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < g[v].size(); ++j)
~~^~~~~~~~~~~~~
pipes.cpp:236:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j = 0; j < g[v].size(); ++j)
~~^~~~~~~~~~~~~
pipes.cpp:250:13: warning: unused variable 'to' [-Wunused-variable]
int to = gt(ind, v);
^~
pipes.cpp: At global scope:
pipes.cpp:265:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main() {
^
pipes.cpp: In function 'void solve_for_cycle(long long int)':
pipes.cpp:213:9: warning: 'x' may be used uninitialized in this function [-Wmaybe-uninitialized]
if(now[i] == x) {
^~
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
24 ms |
44032 KB |
Output is correct |
| 2 |
Correct |
28 ms |
44032 KB |
Output is correct |
| 3 |
Correct |
25 ms |
44160 KB |
Output is correct |
| 4 |
Correct |
249 ms |
66808 KB |
Output is correct |
| 5 |
Correct |
26 ms |
43904 KB |
Output is correct |
| 6 |
Correct |
24 ms |
43904 KB |
Output is correct |
| 7 |
Correct |
26 ms |
44024 KB |
Output is correct |
| 8 |
Correct |
24 ms |
44024 KB |
Output is correct |
| 9 |
Correct |
26 ms |
44160 KB |
Output is correct |
| 10 |
Correct |
25 ms |
44160 KB |
Output is correct |
| 11 |
Correct |
26 ms |
44160 KB |
Output is correct |
| 12 |
Correct |
25 ms |
44288 KB |
Output is correct |
| 13 |
Correct |
219 ms |
62304 KB |
Output is correct |
| 14 |
Correct |
248 ms |
65496 KB |
Output is correct |
| 15 |
Correct |
264 ms |
66808 KB |
Output is correct |
| 16 |
Correct |
254 ms |
63392 KB |
Output is correct |
| 17 |
Correct |
250 ms |
66808 KB |
Output is correct |
| 18 |
Correct |
330 ms |
66808 KB |
Output is correct |
| 19 |
Correct |
319 ms |
68856 KB |
Output is correct |
| 20 |
Correct |
24 ms |
44028 KB |
Output is correct |
| 21 |
Correct |
25 ms |
44160 KB |
Output is correct |
| 22 |
Correct |
418 ms |
66936 KB |
Output is correct |
| 23 |
Correct |
188 ms |
62072 KB |
Output is correct |
| 24 |
Correct |
267 ms |
66948 KB |
Output is correct |
| 25 |
Correct |
208 ms |
62968 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Incorrect |
28 ms |
44032 KB |
Output isn't correct |
| 2 |
Incorrect |
28 ms |
44160 KB |
Output isn't correct |
| 3 |
Correct |
112 ms |
53368 KB |
Output is correct |
| 4 |
Incorrect |
213 ms |
63716 KB |
Output isn't correct |
| 5 |
Incorrect |
267 ms |
65144 KB |
Output isn't correct |
| 6 |
Correct |
235 ms |
66552 KB |
Output is correct |
| 7 |
Incorrect |
24 ms |
44024 KB |
Output isn't correct |
| 8 |
Incorrect |
25 ms |
44032 KB |
Output isn't correct |
| 9 |
Correct |
25 ms |
43520 KB |
Output is correct |
| 10 |
Incorrect |
24 ms |
44024 KB |
Output isn't correct |
| 11 |
Incorrect |
28 ms |
44032 KB |
Output isn't correct |
| 12 |
Incorrect |
24 ms |
44032 KB |
Output isn't correct |
| 13 |
Correct |
24 ms |
43512 KB |
Output is correct |
| 14 |
Incorrect |
24 ms |
44032 KB |
Output isn't correct |
| 15 |
Incorrect |
25 ms |
44152 KB |
Output isn't correct |
| 16 |
Incorrect |
25 ms |
44160 KB |
Output isn't correct |
| 17 |
Correct |
24 ms |
43520 KB |
Output is correct |
| 18 |
Incorrect |
26 ms |
44160 KB |
Output isn't correct |
| 19 |
Incorrect |
31 ms |
44152 KB |
Output isn't correct |
| 20 |
Incorrect |
32 ms |
44160 KB |
Output isn't correct |
| 21 |
Correct |
24 ms |
43648 KB |
Output is correct |
| 22 |
Incorrect |
29 ms |
44156 KB |
Output isn't correct |
| 23 |
Incorrect |
153 ms |
60656 KB |
Output isn't correct |
| 24 |
Incorrect |
246 ms |
64876 KB |
Output isn't correct |
| 25 |
Correct |
99 ms |
53368 KB |
Output is correct |
| 26 |
Incorrect |
231 ms |
64240 KB |
Output isn't correct |
| 27 |
Incorrect |
197 ms |
62108 KB |
Output isn't correct |
| 28 |
Incorrect |
285 ms |
63224 KB |
Output isn't correct |
| 29 |
Correct |
245 ms |
62072 KB |
Output is correct |
| 30 |
Incorrect |
200 ms |
66796 KB |
Output isn't correct |
| 31 |
Incorrect |
186 ms |
63468 KB |
Output isn't correct |
| 32 |
Incorrect |
327 ms |
66416 KB |
Output isn't correct |
| 33 |
Correct |
104 ms |
54264 KB |
Output is correct |
| 34 |
Incorrect |
309 ms |
67576 KB |
Output isn't correct |
| 35 |
Incorrect |
188 ms |
63716 KB |
Output isn't correct |
| 36 |
Incorrect |
234 ms |
63996 KB |
Output isn't correct |
| 37 |
Correct |
239 ms |
66552 KB |
Output is correct |
| 38 |
Incorrect |
207 ms |
66416 KB |
Output isn't correct |
| 39 |
Incorrect |
255 ms |
66424 KB |
Output isn't correct |
| 40 |
Incorrect |
208 ms |
65124 KB |
Output isn't correct |
| 41 |
Correct |
93 ms |
56184 KB |
Output is correct |
| 42 |
Incorrect |
176 ms |
61676 KB |
Output isn't correct |
| 43 |
Incorrect |
167 ms |
62180 KB |
Output isn't correct |
| 44 |
Incorrect |
341 ms |
65016 KB |
Output isn't correct |
| 45 |
Correct |
186 ms |
63224 KB |
Output is correct |
| 46 |
Incorrect |
267 ms |
68076 KB |
Output isn't correct |
| 47 |
Incorrect |
285 ms |
64876 KB |
Output isn't correct |
| 48 |
Incorrect |
210 ms |
63468 KB |
Output isn't correct |
| 49 |
Correct |
83 ms |
51576 KB |
Output is correct |
| 50 |
Incorrect |
271 ms |
64880 KB |
Output isn't correct |
| 51 |
Incorrect |
208 ms |
63980 KB |
Output isn't correct |
| 52 |
Incorrect |
175 ms |
58744 KB |
Output isn't correct |
| 53 |
Correct |
223 ms |
63288 KB |
Output is correct |
| 54 |
Incorrect |
210 ms |
66672 KB |
Output isn't correct |
