import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.io.StreamTokenizer;
public class Graph {
static StreamTokenizer in;
static PrintWriter out;
static int nextInt() throws IOException {
in.nextToken();
return (int) in.nval;
}
final static int MAXN = 200005;
static int n, m;
static int[] a = new int[MAXN];
static int[] b = new int[MAXN];
static int[] c = new int[MAXN];
static int[] deg = new int[MAXN];
static int[] gptr = new int[2 * MAXN];
static int[] gfst = new int[2 * MAXN];
static int[] gsnd = new int[2 * MAXN];
static boolean[] vis = new boolean[MAXN];
static int[] sgn = new int[MAXN];
static int[] val = new int[MAXN];
static int Ql, Qr;
static int[] Q = new int[MAXN];
static int ans[] = new int[MAXN];
static int cnt;
static int comp[] = new int[MAXN];
static int num[] = new int[MAXN];
static int quickSelect(int l, int r, int k) {
if (l == r) {
return num[l];
}
int pivot = num[r];
int ptrL = l;
int ptrR = r;
for (int i = l; i <= ptrR; i++) {
if (num[i] < pivot) {
if (ptrL < i) {
int tmp = num[ptrL];
num[ptrL] = num[i];
num[i] = tmp;
}
ptrL++;
} else if (num[i] > pivot) {
int tmp = num[ptrR];
num[ptrR] = num[i];
num[i] = tmp;
ptrR--;
i--;
}
}
if (k < ptrL) {
return quickSelect(l, ptrL - 1, k);
} else if (k > ptrR) {
return quickSelect(ptrR + 1, r, k);
} else {
return pivot;
}
}
public static void main(String[] args) throws IOException {
in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
out = new PrintWriter(System.out);
n = nextInt();
m = nextInt();
for (int i = 0; i < m; i++) {
a[i] = nextInt();
b[i] = nextInt();
c[i] = 2 * nextInt();
deg[a[i]]++;
deg[b[i]]++;
}
for (int v = 1; v <= n; v++) {
deg[v] += deg[v - 1];
gptr[v] = deg[v - 1];
}
for (int i = 0; i < m; i++) {
gfst[gptr[a[i]]] = b[i];
gsnd[gptr[a[i]]] = c[i];
gptr[a[i]]++;
gfst[gptr[b[i]]] = a[i];
gsnd[gptr[b[i]]] = c[i];
gptr[b[i]]++;
}
for (int u = 1; u <= n; u++) {
if (!vis[u]) {
vis[u] = true;
sgn[u] = +1;
val[u] = 0;
cnt = 0;
comp[cnt++] = u;
boolean bip = true;
int x = 0;
Ql = Qr = 0;
Q[Qr++] = u;
while (Ql < Qr) {
int v = Q[Ql++];
for (int i = deg[v - 1]; i < deg[v]; i++) {
int w = gfst[i];
int sum = gsnd[i];
if (!vis[w]) {
vis[w] = true;
sgn[w] = -sgn[v];
val[w] = sum - val[v];
comp[cnt++] = w;
Q[Qr++] = w;
} else if (sgn[w] == sgn[v]) {
bip = false;
x = sgn[w] * (sum - val[w] - val[v]) / 2;
}
}
}
if (bip) {
for (int i = 0; i < cnt; i++) {
int v = comp[i];
num[i] = (-sgn[v]) * val[v];
}
x = quickSelect(0, cnt - 1, cnt / 2);
}
for (int i = 0; i < cnt; i++) {
int v = comp[i];
ans[v] = val[v] + sgn[v] * x;
}
for (int i = 0; i < cnt; i++) {
int v = comp[i];
for (int j = deg[v - 1]; j < deg[v]; j++) {
int w = gfst[j];
if (ans[v] + ans[w] != gsnd[j]) {
out.println("NO");
out.flush();
return;
}
}
}
}
}
out.println("YES");
for (int v = 1; v <= n; v++) {
if(ans[v] == -1) {
out.print("-");
}
out.print(ans[v] / 2);
if (ans[v] % 2 != 0) {
out.print(".5");
}
out.print(" ");
}
out.println();
out.flush();
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
77 ms |
22904 KB |
answer = YES |
2 |
Correct |
76 ms |
23036 KB |
answer = YES |
3 |
Correct |
76 ms |
22776 KB |
answer = YES |
4 |
Correct |
76 ms |
22856 KB |
answer = NO |
5 |
Correct |
78 ms |
22904 KB |
answer = YES |
6 |
Correct |
79 ms |
22776 KB |
answer = YES |
7 |
Correct |
82 ms |
23096 KB |
answer = YES |
8 |
Correct |
85 ms |
23064 KB |
answer = YES |
9 |
Correct |
76 ms |
23032 KB |
answer = NO |
10 |
Correct |
78 ms |
22776 KB |
answer = YES |
11 |
Correct |
76 ms |
22904 KB |
answer = YES |
12 |
Correct |
79 ms |
23012 KB |
answer = NO |
13 |
Correct |
78 ms |
22904 KB |
answer = YES |
14 |
Correct |
77 ms |
22904 KB |
answer = YES |
15 |
Correct |
78 ms |
22904 KB |
answer = YES |
16 |
Correct |
78 ms |
22644 KB |
answer = YES |
17 |
Correct |
84 ms |
22724 KB |
answer = YES |
18 |
Correct |
83 ms |
22904 KB |
answer = YES |
19 |
Correct |
88 ms |
23036 KB |
answer = YES |
20 |
Correct |
86 ms |
22712 KB |
answer = YES |
21 |
Correct |
86 ms |
22900 KB |
answer = YES |
22 |
Correct |
83 ms |
22896 KB |
answer = NO |
23 |
Correct |
90 ms |
22884 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
77 ms |
22904 KB |
answer = YES |
2 |
Correct |
76 ms |
23036 KB |
answer = YES |
3 |
Correct |
76 ms |
22776 KB |
answer = YES |
4 |
Correct |
76 ms |
22856 KB |
answer = NO |
5 |
Correct |
78 ms |
22904 KB |
answer = YES |
6 |
Correct |
79 ms |
22776 KB |
answer = YES |
7 |
Correct |
82 ms |
23096 KB |
answer = YES |
8 |
Correct |
85 ms |
23064 KB |
answer = YES |
9 |
Correct |
76 ms |
23032 KB |
answer = NO |
10 |
Correct |
78 ms |
22776 KB |
answer = YES |
11 |
Correct |
76 ms |
22904 KB |
answer = YES |
12 |
Correct |
79 ms |
23012 KB |
answer = NO |
13 |
Correct |
78 ms |
22904 KB |
answer = YES |
14 |
Correct |
77 ms |
22904 KB |
answer = YES |
15 |
Correct |
78 ms |
22904 KB |
answer = YES |
16 |
Correct |
78 ms |
22644 KB |
answer = YES |
17 |
Correct |
84 ms |
22724 KB |
answer = YES |
18 |
Correct |
83 ms |
22904 KB |
answer = YES |
19 |
Correct |
88 ms |
23036 KB |
answer = YES |
20 |
Correct |
86 ms |
22712 KB |
answer = YES |
21 |
Correct |
86 ms |
22900 KB |
answer = YES |
22 |
Correct |
83 ms |
22896 KB |
answer = NO |
23 |
Correct |
90 ms |
22884 KB |
answer = NO |
24 |
Correct |
90 ms |
22920 KB |
answer = YES |
25 |
Correct |
87 ms |
22976 KB |
answer = YES |
26 |
Correct |
90 ms |
22904 KB |
answer = YES |
27 |
Correct |
87 ms |
22868 KB |
answer = YES |
28 |
Correct |
82 ms |
22876 KB |
answer = YES |
29 |
Correct |
87 ms |
23092 KB |
answer = YES |
30 |
Correct |
79 ms |
22980 KB |
answer = NO |
31 |
Correct |
85 ms |
22880 KB |
answer = YES |
32 |
Correct |
85 ms |
22868 KB |
answer = YES |
33 |
Correct |
88 ms |
22688 KB |
answer = YES |
34 |
Correct |
88 ms |
22744 KB |
answer = YES |
35 |
Correct |
88 ms |
22804 KB |
answer = YES |
36 |
Correct |
89 ms |
23016 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
77 ms |
22904 KB |
answer = YES |
2 |
Correct |
76 ms |
23036 KB |
answer = YES |
3 |
Correct |
76 ms |
22776 KB |
answer = YES |
4 |
Correct |
76 ms |
22856 KB |
answer = NO |
5 |
Correct |
78 ms |
22904 KB |
answer = YES |
6 |
Correct |
79 ms |
22776 KB |
answer = YES |
7 |
Correct |
82 ms |
23096 KB |
answer = YES |
8 |
Correct |
85 ms |
23064 KB |
answer = YES |
9 |
Correct |
76 ms |
23032 KB |
answer = NO |
10 |
Correct |
78 ms |
22776 KB |
answer = YES |
11 |
Correct |
76 ms |
22904 KB |
answer = YES |
12 |
Correct |
79 ms |
23012 KB |
answer = NO |
13 |
Correct |
78 ms |
22904 KB |
answer = YES |
14 |
Correct |
77 ms |
22904 KB |
answer = YES |
15 |
Correct |
78 ms |
22904 KB |
answer = YES |
16 |
Correct |
78 ms |
22644 KB |
answer = YES |
17 |
Correct |
84 ms |
22724 KB |
answer = YES |
18 |
Correct |
83 ms |
22904 KB |
answer = YES |
19 |
Correct |
88 ms |
23036 KB |
answer = YES |
20 |
Correct |
86 ms |
22712 KB |
answer = YES |
21 |
Correct |
86 ms |
22900 KB |
answer = YES |
22 |
Correct |
83 ms |
22896 KB |
answer = NO |
23 |
Correct |
90 ms |
22884 KB |
answer = NO |
24 |
Correct |
90 ms |
22920 KB |
answer = YES |
25 |
Correct |
87 ms |
22976 KB |
answer = YES |
26 |
Correct |
90 ms |
22904 KB |
answer = YES |
27 |
Correct |
87 ms |
22868 KB |
answer = YES |
28 |
Correct |
82 ms |
22876 KB |
answer = YES |
29 |
Correct |
87 ms |
23092 KB |
answer = YES |
30 |
Correct |
79 ms |
22980 KB |
answer = NO |
31 |
Correct |
85 ms |
22880 KB |
answer = YES |
32 |
Correct |
85 ms |
22868 KB |
answer = YES |
33 |
Correct |
88 ms |
22688 KB |
answer = YES |
34 |
Correct |
88 ms |
22744 KB |
answer = YES |
35 |
Correct |
88 ms |
22804 KB |
answer = YES |
36 |
Correct |
89 ms |
23016 KB |
answer = YES |
37 |
Correct |
93 ms |
24068 KB |
answer = YES |
38 |
Correct |
93 ms |
24112 KB |
answer = YES |
39 |
Correct |
92 ms |
23988 KB |
answer = YES |
40 |
Correct |
99 ms |
24288 KB |
answer = YES |
41 |
Correct |
101 ms |
24380 KB |
answer = NO |
42 |
Correct |
121 ms |
25016 KB |
answer = YES |
43 |
Correct |
97 ms |
24116 KB |
answer = YES |
44 |
Correct |
121 ms |
24428 KB |
answer = YES |
45 |
Correct |
115 ms |
24360 KB |
answer = YES |
46 |
Correct |
105 ms |
24072 KB |
answer = YES |
47 |
Correct |
113 ms |
24204 KB |
answer = YES |
48 |
Correct |
105 ms |
24856 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
77 ms |
22904 KB |
answer = YES |
2 |
Correct |
76 ms |
23036 KB |
answer = YES |
3 |
Correct |
76 ms |
22776 KB |
answer = YES |
4 |
Correct |
76 ms |
22856 KB |
answer = NO |
5 |
Correct |
78 ms |
22904 KB |
answer = YES |
6 |
Correct |
79 ms |
22776 KB |
answer = YES |
7 |
Correct |
82 ms |
23096 KB |
answer = YES |
8 |
Correct |
85 ms |
23064 KB |
answer = YES |
9 |
Correct |
76 ms |
23032 KB |
answer = NO |
10 |
Correct |
78 ms |
22776 KB |
answer = YES |
11 |
Correct |
76 ms |
22904 KB |
answer = YES |
12 |
Correct |
79 ms |
23012 KB |
answer = NO |
13 |
Correct |
78 ms |
22904 KB |
answer = YES |
14 |
Correct |
77 ms |
22904 KB |
answer = YES |
15 |
Correct |
78 ms |
22904 KB |
answer = YES |
16 |
Correct |
78 ms |
22644 KB |
answer = YES |
17 |
Correct |
84 ms |
22724 KB |
answer = YES |
18 |
Correct |
83 ms |
22904 KB |
answer = YES |
19 |
Correct |
88 ms |
23036 KB |
answer = YES |
20 |
Correct |
86 ms |
22712 KB |
answer = YES |
21 |
Correct |
86 ms |
22900 KB |
answer = YES |
22 |
Correct |
83 ms |
22896 KB |
answer = NO |
23 |
Correct |
90 ms |
22884 KB |
answer = NO |
24 |
Correct |
90 ms |
22920 KB |
answer = YES |
25 |
Correct |
87 ms |
22976 KB |
answer = YES |
26 |
Correct |
90 ms |
22904 KB |
answer = YES |
27 |
Correct |
87 ms |
22868 KB |
answer = YES |
28 |
Correct |
82 ms |
22876 KB |
answer = YES |
29 |
Correct |
87 ms |
23092 KB |
answer = YES |
30 |
Correct |
79 ms |
22980 KB |
answer = NO |
31 |
Correct |
85 ms |
22880 KB |
answer = YES |
32 |
Correct |
85 ms |
22868 KB |
answer = YES |
33 |
Correct |
88 ms |
22688 KB |
answer = YES |
34 |
Correct |
88 ms |
22744 KB |
answer = YES |
35 |
Correct |
88 ms |
22804 KB |
answer = YES |
36 |
Correct |
89 ms |
23016 KB |
answer = YES |
37 |
Correct |
93 ms |
24068 KB |
answer = YES |
38 |
Correct |
93 ms |
24112 KB |
answer = YES |
39 |
Correct |
92 ms |
23988 KB |
answer = YES |
40 |
Correct |
99 ms |
24288 KB |
answer = YES |
41 |
Correct |
101 ms |
24380 KB |
answer = NO |
42 |
Correct |
121 ms |
25016 KB |
answer = YES |
43 |
Correct |
97 ms |
24116 KB |
answer = YES |
44 |
Correct |
121 ms |
24428 KB |
answer = YES |
45 |
Correct |
115 ms |
24360 KB |
answer = YES |
46 |
Correct |
105 ms |
24072 KB |
answer = YES |
47 |
Correct |
113 ms |
24204 KB |
answer = YES |
48 |
Correct |
105 ms |
24856 KB |
answer = YES |
49 |
Correct |
193 ms |
27112 KB |
answer = YES |
50 |
Correct |
220 ms |
27116 KB |
answer = YES |
51 |
Correct |
206 ms |
27292 KB |
answer = YES |
52 |
Correct |
164 ms |
25244 KB |
answer = NO |
53 |
Correct |
104 ms |
24232 KB |
answer = YES |
54 |
Correct |
112 ms |
23712 KB |
answer = YES |
55 |
Correct |
142 ms |
25276 KB |
answer = YES |
56 |
Correct |
196 ms |
26020 KB |
answer = YES |
57 |
Correct |
180 ms |
27072 KB |
answer = YES |
58 |
Correct |
180 ms |
26372 KB |
answer = YES |
59 |
Correct |
208 ms |
27096 KB |
answer = YES |
60 |
Correct |
227 ms |
26876 KB |
answer = YES |
61 |
Correct |
141 ms |
24744 KB |
answer = YES |
62 |
Correct |
304 ms |
25944 KB |
answer = NO |
63 |
Correct |
318 ms |
26476 KB |
answer = YES |
64 |
Correct |
301 ms |
26512 KB |
answer = NO |
65 |
Correct |
306 ms |
26180 KB |
answer = YES |
66 |
Correct |
106 ms |
24312 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
77 ms |
22904 KB |
answer = YES |
2 |
Correct |
76 ms |
23036 KB |
answer = YES |
3 |
Correct |
76 ms |
22776 KB |
answer = YES |
4 |
Correct |
76 ms |
22856 KB |
answer = NO |
5 |
Correct |
78 ms |
22904 KB |
answer = YES |
6 |
Correct |
79 ms |
22776 KB |
answer = YES |
7 |
Correct |
82 ms |
23096 KB |
answer = YES |
8 |
Correct |
85 ms |
23064 KB |
answer = YES |
9 |
Correct |
76 ms |
23032 KB |
answer = NO |
10 |
Correct |
78 ms |
22776 KB |
answer = YES |
11 |
Correct |
76 ms |
22904 KB |
answer = YES |
12 |
Correct |
79 ms |
23012 KB |
answer = NO |
13 |
Correct |
78 ms |
22904 KB |
answer = YES |
14 |
Correct |
77 ms |
22904 KB |
answer = YES |
15 |
Correct |
78 ms |
22904 KB |
answer = YES |
16 |
Correct |
78 ms |
22644 KB |
answer = YES |
17 |
Correct |
84 ms |
22724 KB |
answer = YES |
18 |
Correct |
83 ms |
22904 KB |
answer = YES |
19 |
Correct |
88 ms |
23036 KB |
answer = YES |
20 |
Correct |
86 ms |
22712 KB |
answer = YES |
21 |
Correct |
86 ms |
22900 KB |
answer = YES |
22 |
Correct |
83 ms |
22896 KB |
answer = NO |
23 |
Correct |
90 ms |
22884 KB |
answer = NO |
24 |
Correct |
90 ms |
22920 KB |
answer = YES |
25 |
Correct |
87 ms |
22976 KB |
answer = YES |
26 |
Correct |
90 ms |
22904 KB |
answer = YES |
27 |
Correct |
87 ms |
22868 KB |
answer = YES |
28 |
Correct |
82 ms |
22876 KB |
answer = YES |
29 |
Correct |
87 ms |
23092 KB |
answer = YES |
30 |
Correct |
79 ms |
22980 KB |
answer = NO |
31 |
Correct |
85 ms |
22880 KB |
answer = YES |
32 |
Correct |
85 ms |
22868 KB |
answer = YES |
33 |
Correct |
88 ms |
22688 KB |
answer = YES |
34 |
Correct |
88 ms |
22744 KB |
answer = YES |
35 |
Correct |
88 ms |
22804 KB |
answer = YES |
36 |
Correct |
89 ms |
23016 KB |
answer = YES |
37 |
Correct |
93 ms |
24068 KB |
answer = YES |
38 |
Correct |
93 ms |
24112 KB |
answer = YES |
39 |
Correct |
92 ms |
23988 KB |
answer = YES |
40 |
Correct |
99 ms |
24288 KB |
answer = YES |
41 |
Correct |
101 ms |
24380 KB |
answer = NO |
42 |
Correct |
121 ms |
25016 KB |
answer = YES |
43 |
Correct |
97 ms |
24116 KB |
answer = YES |
44 |
Correct |
121 ms |
24428 KB |
answer = YES |
45 |
Correct |
115 ms |
24360 KB |
answer = YES |
46 |
Correct |
105 ms |
24072 KB |
answer = YES |
47 |
Correct |
113 ms |
24204 KB |
answer = YES |
48 |
Correct |
105 ms |
24856 KB |
answer = YES |
49 |
Correct |
193 ms |
27112 KB |
answer = YES |
50 |
Correct |
220 ms |
27116 KB |
answer = YES |
51 |
Correct |
206 ms |
27292 KB |
answer = YES |
52 |
Correct |
164 ms |
25244 KB |
answer = NO |
53 |
Correct |
104 ms |
24232 KB |
answer = YES |
54 |
Correct |
112 ms |
23712 KB |
answer = YES |
55 |
Correct |
142 ms |
25276 KB |
answer = YES |
56 |
Correct |
196 ms |
26020 KB |
answer = YES |
57 |
Correct |
180 ms |
27072 KB |
answer = YES |
58 |
Correct |
180 ms |
26372 KB |
answer = YES |
59 |
Correct |
208 ms |
27096 KB |
answer = YES |
60 |
Correct |
227 ms |
26876 KB |
answer = YES |
61 |
Correct |
141 ms |
24744 KB |
answer = YES |
62 |
Correct |
304 ms |
25944 KB |
answer = NO |
63 |
Correct |
318 ms |
26476 KB |
answer = YES |
64 |
Correct |
301 ms |
26512 KB |
answer = NO |
65 |
Correct |
306 ms |
26180 KB |
answer = YES |
66 |
Correct |
106 ms |
24312 KB |
answer = YES |
67 |
Correct |
449 ms |
33392 KB |
answer = YES |
68 |
Correct |
389 ms |
32196 KB |
answer = YES |
69 |
Correct |
352 ms |
33028 KB |
answer = YES |
70 |
Correct |
423 ms |
31396 KB |
answer = YES |
71 |
Correct |
353 ms |
33236 KB |
answer = YES |
72 |
Correct |
381 ms |
31776 KB |
answer = YES |
73 |
Correct |
364 ms |
32144 KB |
answer = YES |
74 |
Correct |
307 ms |
29892 KB |
answer = YES |
75 |
Correct |
262 ms |
25720 KB |
answer = NO |
76 |
Correct |
216 ms |
27064 KB |
answer = YES |
77 |
Correct |
211 ms |
28140 KB |
answer = YES |
78 |
Correct |
333 ms |
31184 KB |
answer = YES |
79 |
Correct |
328 ms |
30952 KB |
answer = YES |
80 |
Correct |
315 ms |
30464 KB |
answer = YES |
81 |
Correct |
252 ms |
26928 KB |
answer = NO |
82 |
Correct |
357 ms |
32720 KB |
answer = YES |
83 |
Correct |
342 ms |
33696 KB |
answer = YES |
84 |
Correct |
475 ms |
34208 KB |
answer = YES |
85 |
Correct |
329 ms |
31824 KB |
answer = YES |
86 |
Correct |
340 ms |
33868 KB |
answer = YES |
87 |
Correct |
283 ms |
26292 KB |
answer = NO |
88 |
Correct |
386 ms |
34012 KB |
answer = YES |
89 |
Correct |
395 ms |
32476 KB |
answer = YES |
90 |
Correct |
414 ms |
33692 KB |
answer = YES |
91 |
Correct |
413 ms |
33620 KB |
answer = YES |
92 |
Correct |
349 ms |
31636 KB |
answer = YES |
93 |
Correct |
332 ms |
30524 KB |
answer = YES |
94 |
Correct |
287 ms |
27096 KB |
answer = NO |
95 |
Correct |
219 ms |
25456 KB |
answer = NO |
96 |
Correct |
413 ms |
32972 KB |
answer = YES |
97 |
Correct |
229 ms |
25652 KB |
answer = NO |