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Submission #117313

# Submission time Handle Problem Language Result Execution time Memory
117313 2019-06-15T13:21:36 Z luciocf Tug of War (BOI15_tug) C++14
71 / 100
 3000 ms 5348 KB 
#include <bits/stdc++.h>

#pragma GCC optimize("Ofast")
 
#define ff first
#define ss second
 
using namespace std;
 
const int maxn = 6e4+10;
 
typedef pair<int, int> pii;
 
int n, k;
 
int sa, sb;
 
int pai[maxn], edge[maxn];
 
int firstCycle[maxn], lastCycle[maxn], pesoCycle[2][maxn], inCycle[maxn];
int comp[maxn], back[maxn];
 
bitset<1200001> dp[2];
 
bool mark[maxn];
 
vector<int> V;
 
vector<pair<pii, int>> grafo[maxn];

void dfs(int u, int ant, int cc)
{
	comp[u] = cc;
 
	for (auto pp: grafo[u])
	{
		int v = pp.ff.ff, w = pp.ff.ss, e = pp.ss;
 
		if (comp[v] == cc)
		{
			if (ant == e) continue;

			firstCycle[cc] = u, lastCycle[cc] = v;
			back[cc] = w;

			continue;
		}
 
		pai[v] = u, edge[v] = w;
 
		dfs(v, e, cc);
	}
}
 
void markCycle(int cc)
{
	int v = lastCycle[cc];
 
	int s0 = 0, s1 = back[cc];
	bool turn = 0;
 
	while (true)
	{
		inCycle[v] = true;
 
		if (v == firstCycle[cc]) break;

		if (!turn) s0 += edge[v];
		else s1 += edge[v];
 
		v = pai[v];
		turn = !turn;
	}
 
	pesoCycle[0][cc] = s0, pesoCycle[1][cc] = s1;
}

void dfs2(int u)
{
	mark[u] = true;
 
	for (auto pp: grafo[u])
	{
		int v = pp.ff.ff, w = pp.ff.ss;

		if (mark[v]) continue;

		dfs2(v);

		if (!inCycle[v])
		{
			if (v <= n) sa += w;
			else sb += w; 
		}
	}
}
 
int main(void)
{
	scanf("%d %d", &n, &k);

	int S = 0;
 
	for (int i = 1; i <= 2*n; i++)
	{
		int a, b, w;
		scanf("%d %d %d", &a, &b, &w);
 
		b += n;
		S += w;
 
		grafo[a].push_back({{b, w}, i});
		grafo[b].push_back({{a, w}, i});
	}
 
	int cc = 0;
	for (int i = 1; i <= 2*n; i++)
	{
		if (comp[i]) continue;
 
		dfs(i, 0, ++cc);
 
		if (firstCycle[cc] == 0)
		{
			printf("NO\n");
			return 0;
		}
	}

	for (int i = 1; i <= cc; i++)
	{
		markCycle(i);
		dfs2(firstCycle[i]);
	}
 
	dp[0][0] = 1;
	for (int i = 1; i <= cc; i++)
	{
		int a = (i-1)&1, b = i&1;

		dp[b].reset();

		for (int j = S; j >= 1; j--)
		{
			if (pesoCycle[0][i] <= j)
				dp[b][j] = dp[b][j]|dp[a][j-pesoCycle[0][i]];

			if (pesoCycle[1][i] <= j)
				dp[b][j] = dp[b][j]|dp[a][j-pesoCycle[1][i]];
		}
	}

	for (int i = 1; i <= S; i++)
	{
		if (dp[cc&1][i])
		{
			int a = i+sa, b = S-i-sa;

			if (abs(a-b) <= k)
			{
				printf("YES\n");
				return 0;
			}

			a = S-i-sb, b = i+sb;
			
			if (abs(a-b) <= k)
			{
				printf("YES\n");
				return 0;
			}
		}
	}
 
	printf("NO\n");
}

Compilation message

tug.cpp: In function 'int main()':
tug.cpp:100:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d", &n, &k);
  ~~~~~^~~~~~~~~~~~~~~~~
tug.cpp:107:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d %d", &a, &b, &w);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2048 KB Output is correct
2 Correct 4 ms 2048 KB Output is correct
3 Correct 3 ms 2048 KB Output is correct
4 Correct 3 ms 2048 KB Output is correct
5 Correct 3 ms 2048 KB Output is correct
6 Correct 4 ms 2020 KB Output is correct
7 Correct 3 ms 2048 KB Output is correct
8 Correct 3 ms 2048 KB Output is correct
9 Correct 3 ms 2048 KB Output is correct
10 Correct 4 ms 2048 KB Output is correct
11 Correct 3 ms 2048 KB Output is correct
12 Correct 3 ms 2048 KB Output is correct
13 Correct 4 ms 2048 KB Output is correct
14 Correct 3 ms 2048 KB Output is correct
15 Correct 3 ms 2048 KB Output is correct
16 Correct 3 ms 2048 KB Output is correct
17 Correct 4 ms 2048 KB Output is correct
18 Correct 3 ms 2048 KB Output is correct
19 Correct 3 ms 2048 KB Output is correct
20 Correct 3 ms 2048 KB Output is correct
21 Correct 3 ms 1792 KB Output is correct
22 Correct 3 ms 2048 KB Output is correct
23 Correct 3 ms 2048 KB Output is correct
24 Correct 3 ms 2048 KB Output is correct
25 Correct 3 ms 2048 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2048 KB Output is correct
2 Correct 4 ms 2048 KB Output is correct
3 Correct 3 ms 2048 KB Output is correct
4 Correct 3 ms 2048 KB Output is correct
5 Correct 3 ms 2048 KB Output is correct
6 Correct 4 ms 2020 KB Output is correct
7 Correct 3 ms 2048 KB Output is correct
8 Correct 3 ms 2048 KB Output is correct
9 Correct 3 ms 2048 KB Output is correct
10 Correct 4 ms 2048 KB Output is correct
11 Correct 3 ms 2048 KB Output is correct
12 Correct 3 ms 2048 KB Output is correct
13 Correct 4 ms 2048 KB Output is correct
14 Correct 3 ms 2048 KB Output is correct
15 Correct 3 ms 2048 KB Output is correct
16 Correct 3 ms 2048 KB Output is correct
17 Correct 4 ms 2048 KB Output is correct
18 Correct 3 ms 2048 KB Output is correct
19 Correct 3 ms 2048 KB Output is correct
20 Correct 3 ms 2048 KB Output is correct
21 Correct 3 ms 1792 KB Output is correct
22 Correct 3 ms 2048 KB Output is correct
23 Correct 3 ms 2048 KB Output is correct
24 Correct 3 ms 2048 KB Output is correct
25 Correct 3 ms 2048 KB Output is correct
26 Correct 452 ms 2396 KB Output is correct
27 Correct 64 ms 2296 KB Output is correct
28 Correct 440 ms 2424 KB Output is correct
29 Correct 65 ms 2304 KB Output is correct
30 Correct 441 ms 2312 KB Output is correct
31 Correct 64 ms 2304 KB Output is correct
32 Correct 447 ms 2424 KB Output is correct
33 Correct 64 ms 2304 KB Output is correct
34 Correct 36 ms 2304 KB Output is correct
35 Correct 64 ms 2304 KB Output is correct
36 Correct 448 ms 2424 KB Output is correct
37 Correct 67 ms 2380 KB Output is correct
38 Correct 464 ms 2424 KB Output is correct
39 Correct 64 ms 2304 KB Output is correct
40 Correct 449 ms 2312 KB Output is correct
41 Correct 63 ms 2296 KB Output is correct
42 Correct 438 ms 2304 KB Output is correct
43 Correct 64 ms 2296 KB Output is correct
44 Correct 441 ms 2424 KB Output is correct
45 Correct 64 ms 2304 KB Output is correct
46 Correct 446 ms 2396 KB Output is correct
47 Correct 5 ms 1920 KB Output is correct
48 Correct 184 ms 2304 KB Output is correct
49 Correct 185 ms 2304 KB Output is correct
50 Correct 540 ms 2312 KB Output is correct
51 Correct 443 ms 2348 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1160 ms 3200 KB Output is correct
2 Correct 13 ms 2816 KB Output is correct
3 Correct 1094 ms 3200 KB Output is correct
4 Correct 12 ms 2560 KB Output is correct
5 Correct 1094 ms 3192 KB Output is correct
6 Correct 12 ms 2688 KB Output is correct
7 Correct 1099 ms 3292 KB Output is correct
8 Correct 23 ms 2816 KB Output is correct
9 Correct 1117 ms 3192 KB Output is correct
10 Correct 12 ms 2688 KB Output is correct
11 Correct 1149 ms 3180 KB Output is correct
12 Correct 12 ms 2816 KB Output is correct
13 Correct 1152 ms 3192 KB Output is correct
14 Correct 1144 ms 3200 KB Output is correct
15 Correct 12 ms 2688 KB Output is correct
16 Correct 1095 ms 3292 KB Output is correct
17 Correct 12 ms 2816 KB Output is correct
18 Correct 1117 ms 3072 KB Output is correct
19 Correct 13 ms 2816 KB Output is correct
20 Correct 1103 ms 3176 KB Output is correct
21 Correct 14 ms 2944 KB Output is correct
22 Correct 567 ms 3448 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2048 KB Output is correct
2 Correct 4 ms 2048 KB Output is correct
3 Correct 3 ms 2048 KB Output is correct
4 Correct 3 ms 2048 KB Output is correct
5 Correct 3 ms 2048 KB Output is correct
6 Correct 4 ms 2020 KB Output is correct
7 Correct 3 ms 2048 KB Output is correct
8 Correct 3 ms 2048 KB Output is correct
9 Correct 3 ms 2048 KB Output is correct
10 Correct 4 ms 2048 KB Output is correct
11 Correct 3 ms 2048 KB Output is correct
12 Correct 3 ms 2048 KB Output is correct
13 Correct 4 ms 2048 KB Output is correct
14 Correct 3 ms 2048 KB Output is correct
15 Correct 3 ms 2048 KB Output is correct
16 Correct 3 ms 2048 KB Output is correct
17 Correct 4 ms 2048 KB Output is correct
18 Correct 3 ms 2048 KB Output is correct
19 Correct 3 ms 2048 KB Output is correct
20 Correct 3 ms 2048 KB Output is correct
21 Correct 3 ms 1792 KB Output is correct
22 Correct 3 ms 2048 KB Output is correct
23 Correct 3 ms 2048 KB Output is correct
24 Correct 3 ms 2048 KB Output is correct
25 Correct 3 ms 2048 KB Output is correct
26 Correct 452 ms 2396 KB Output is correct
27 Correct 64 ms 2296 KB Output is correct
28 Correct 440 ms 2424 KB Output is correct
29 Correct 65 ms 2304 KB Output is correct
30 Correct 441 ms 2312 KB Output is correct
31 Correct 64 ms 2304 KB Output is correct
32 Correct 447 ms 2424 KB Output is correct
33 Correct 64 ms 2304 KB Output is correct
34 Correct 36 ms 2304 KB Output is correct
35 Correct 64 ms 2304 KB Output is correct
36 Correct 448 ms 2424 KB Output is correct
37 Correct 67 ms 2380 KB Output is correct
38 Correct 464 ms 2424 KB Output is correct
39 Correct 64 ms 2304 KB Output is correct
40 Correct 449 ms 2312 KB Output is correct
41 Correct 63 ms 2296 KB Output is correct
42 Correct 438 ms 2304 KB Output is correct
43 Correct 64 ms 2296 KB Output is correct
44 Correct 441 ms 2424 KB Output is correct
45 Correct 64 ms 2304 KB Output is correct
46 Correct 446 ms 2396 KB Output is correct
47 Correct 5 ms 1920 KB Output is correct
48 Correct 184 ms 2304 KB Output is correct
49 Correct 185 ms 2304 KB Output is correct
50 Correct 540 ms 2312 KB Output is correct
51 Correct 443 ms 2348 KB Output is correct
52 Correct 1160 ms 3200 KB Output is correct
53 Correct 13 ms 2816 KB Output is correct
54 Correct 1094 ms 3200 KB Output is correct
55 Correct 12 ms 2560 KB Output is correct
56 Correct 1094 ms 3192 KB Output is correct
57 Correct 12 ms 2688 KB Output is correct
58 Correct 1099 ms 3292 KB Output is correct
59 Correct 23 ms 2816 KB Output is correct
60 Correct 1117 ms 3192 KB Output is correct
61 Correct 12 ms 2688 KB Output is correct
62 Correct 1149 ms 3180 KB Output is correct
63 Correct 12 ms 2816 KB Output is correct
64 Correct 1152 ms 3192 KB Output is correct
65 Correct 1144 ms 3200 KB Output is correct
66 Correct 12 ms 2688 KB Output is correct
67 Correct 1095 ms 3292 KB Output is correct
68 Correct 12 ms 2816 KB Output is correct
69 Correct 1117 ms 3072 KB Output is correct
70 Correct 13 ms 2816 KB Output is correct
71 Correct 1103 ms 3176 KB Output is correct
72 Correct 14 ms 2944 KB Output is correct
73 Correct 567 ms 3448 KB Output is correct
74 Execution timed out 3048 ms 5348 KB Time limit exceeded
75 Halted 0 ms 0 KB -