| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 707920 |
2023-03-10T13:42:19 Z |
Cyanmond |
Toy Train (IOI17_train) |
C++17 |
|
2000 ms |
224876 KB |
#include "train.h"
#include <bits/stdc++.h>
using namespace std;
std::vector<int> who_wins(std::vector<int> a, std::vector<int> r, std::vector<int> u, std::vector<int> v) {
const int n = (int)a.size(), m = (int)u.size();
std::vector<std::vector<int>> graph(n);
for (int i = 0; i < m; ++i) {
graph[u[i]].push_back(v[i]);
}
int cntC = 0;
int chargingS = -1;
for (int i = 0; i < n; ++i) {
if (r[i] == 1) {
++cntC;
if (chargingS == -1) {
chargingS = i;
}
}
}
if (cntC == 1) {
// subtask 5
std::vector<int> reachableV(n, -1);
reachableV[chargingS] = 1;
for (int i = 0; i < n; ++i) {
auto itr = std::find(graph[i].begin(), graph[i].end(), i);
if (r[i] == 0 and a[i] == 0 and itr != graph[i].end()) {
reachableV[i] = 0;
}
}
for (int x = 0; x < 2 * n; ++x) {
for (int i = 0; i < n; ++i) {
if (reachableV[i] != -1) {
continue;
}
if (a[i] == 1) {
bool isOk = false, isRa = true;
for (const int t : graph[i]) {
if (reachableV[t] == 1) {
isOk = true;
}
if (reachableV[t] == -1) {
isRa = false;
}
}
if (isOk) {
reachableV[i] = 1;
} else if (isRa) {
reachableV[i] = 0;
}
} else {
bool isOk = true, isRa = true;
for (const int t : graph[i]) {
if (reachableV[t] != 1) {
isOk = false;
}
if (reachableV[t] == -1) {
isRa = false;
}
}
if (isOk) {
reachableV[i] = 1;
} else if (isRa) {
reachableV[i] = 0;
}
}
}
}
for (auto &e : reachableV) {
if (e == -1) {
e = 0;
}
}
reachableV[chargingS] = -1;
if (a[chargingS] == 1) {
bool isOk = false;
for (const int t : graph[chargingS]) {
if (reachableV[t] == 1) {
isOk = true;
} else if (t == chargingS) {
isOk = true;
}
}
if (isOk) {
reachableV[chargingS] = 1;
} else {
reachableV[chargingS] = 0;
}
} else {
bool isOk = true;
for (const int t : graph[chargingS]) {
if (reachableV[t] == 0) {
isOk = false;
}
}
if (isOk) {
reachableV[chargingS] = 1;
} else {
reachableV[chargingS] = 0;
}
}
std::vector<int> answer(n);
for (int i = 0; i < n; ++i) {
answer[i] = (reachableV[i] == 1 and reachableV[chargingS] == 1) ? 1 : 0;
}
return answer;
} else if (std::all_of(a.begin(), a.end(), [](const int v) {
return v == 0;
})) {
// subtask 4
std::vector<int> answer(n, 1);
std::vector<bool> tCycle(n);
for (int f = 0; f < n; ++f) {
std::vector<int> type(n);
auto dfs = [&](auto &&self, const int v) -> bool {
type[v] = 1;
for (const int t : graph[v]) {
if (r[t] == 1) {
continue;
}
if (type[t] == 0) {
const auto res = self(self, t);
if (res) {
return true;
}
} else if (type[t] == 1) {
return true;
}
}
type[v] = 2;
return false;
};
tCycle[f] = dfs(dfs, f);
}
std::vector<std::vector<bool>> isReachable(n, std::vector<bool>(n));
for (int f = 0; f < n; ++f) {
isReachable[f][f] = true;
std::queue<int> que;
que.push(f);
while (not que.empty()) {
const int x = que.front();
que.pop();
for (const int t : graph[x]) {
if (not isReachable[f][t]) {
isReachable[f][t] = true;
que.push(t);
}
}
}
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
if (isReachable[i][j] and tCycle[j]) {
answer[i] = 0;
}
}
}
return answer;
} else if (std::all_of(a.begin(), a.end(), [](const int v) {
return v == 1;
})) {
// subtask 3
std::vector<int> answer(n);
std::vector<bool> tCycle(n);
for (int f = 0; f < n; ++f) {
if (r[f] == 0) {
continue;
}
std::vector<int> type(n);
auto dfs = [&](auto &&self, const int v) -> bool {
type[v] = 1;
for (const int t : graph[v]) {
if (type[t] == 0) {
const auto res = self(self, t);
if (res) {
return true;
}
} else if (t == f) {
return true;
}
}
type[v] = 2;
return false;
};
tCycle[f] = dfs(dfs, f);
}
std::vector<std::vector<bool>> isReachable(n, std::vector<bool>(n));
for (int f = 0; f < n; ++f) {
isReachable[f][f] = true;
std::queue<int> que;
que.push(f);
while (not que.empty()) {
const int x = que.front();
que.pop();
for (const int t : graph[x]) {
if (not isReachable[f][t]) {
isReachable[f][t] = true;
que.push(t);
}
}
}
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
if (isReachable[i][j] and tCycle[j]) {
answer[i] = 1;
}
}
}
return answer;
} else if (n <= 15) {
// subtask 2
std::vector<int> pow3(n + 1);
pow3[0] = 1;
for (int i = 1; i <= n; ++i) {
pow3[i] = pow3[i - 1] * 3;
}
std::vector<int> graphBit(n);
for (int i = 0; i < n; ++i) {
int b = 0;
for (const int t : graph[i]) {
b |= 1 << t;
}
graphBit[i] = b;
}
std::vector<std::vector<char>> dp(n, std::vector<char>(pow3[n]));
for (int bits = pow3[n] - 1; bits >= 0; --bits) {
std::vector<int> status(n);
int bit1 = 0, bit2 = 0, bit3 = 0, bit4 = 0;
int qbits = bits;
auto nextBits = [&](const int a) {
assert(status[a] == 0);
int res = bits;
res += pow3[a];
if (r[a] == 1) {
res = qbits + 2 * pow3[a];
}
return res;
};
for (int i = 0; i < n; ++i) {
const int v = bits % pow3[i + 1];
const int c = v / pow3[i];
status[i] = c;
}
for (int i = 0; i < n; ++i) {
if (status[i] == 1) {
qbits += pow3[i];
}
}
for (int i = 0; i < n; ++i) {
const int c = status[i];
if (c == 1) {
bit1 |= 1 << i;
} else if (c == 2) {
bit2 |= 1 << i;
} else {
if (dp[i][nextBits(i)]) {
bit3 |= 1 << i;
} else {
bit4 |= 1 << i;
}
}
}
for (int f = 0; f < n; ++f) {
if (status[f] == 0) {
continue;
}
if (a[f] == 1) {
bool isOk = false;
isOk |= (bit2 && graphBit[f]);
isOk |= (bit3 && graphBit[f]);
dp[f][bits] = isOk;
} else {
bool isOk = true;
if (bit1 && graphBit[f]) {
isOk = false;
} else if (bit4 && graphBit[f]) {
isOk = false;
}
dp[f][bits] = isOk;
}
}
}
std::vector<int> answer(n);
for (int i = 0; i < n; ++i) {
answer[i] = dp[i][pow3[i] * (r[i] + 1)] ? 1 : 0;
}
return answer;
} else {
// subtask 1
std::vector<int> answer(n);
for (int i = 0; i < n; ++i) {
int now = i;
while (true) {
if (a[now] == 1) {
if (r[now] == 1 and std::find(graph[now].begin(), graph[now].end(), now) != graph[now].end()) {
answer[i] = 1;
break;
}
if (graph[now].size() == 1 and graph[now][0] == now) {
answer[i] = 0;
break;
}
++now;
} else {
if (r[now] == 0 and std::find(graph[now].begin(), graph[now].end(), now) != graph[now].end()) {
answer[i] = 0;
break;
}
if (graph[now].size() == 1 and graph[now][0] == now) {
answer[i] = 1;
break;
}
++now;
}
}
}
return answer;
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
724 KB |
Output is correct |
| 2 |
Correct |
5 ms |
844 KB |
Output is correct |
| 3 |
Correct |
3 ms |
852 KB |
Output is correct |
| 4 |
Correct |
4 ms |
852 KB |
Output is correct |
| 5 |
Correct |
4 ms |
824 KB |
Output is correct |
| 6 |
Correct |
4 ms |
852 KB |
Output is correct |
| 7 |
Correct |
26 ms |
4184 KB |
Output is correct |
| 8 |
Correct |
25 ms |
4180 KB |
Output is correct |
| 9 |
Correct |
3 ms |
852 KB |
Output is correct |
| 10 |
Correct |
3 ms |
824 KB |
Output is correct |
| 11 |
Correct |
3 ms |
724 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
2096 ms |
224876 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
252 ms |
4440 KB |
Output is correct |
| 2 |
Correct |
264 ms |
4456 KB |
Output is correct |
| 3 |
Correct |
275 ms |
4580 KB |
Output is correct |
| 4 |
Correct |
962 ms |
4572 KB |
Output is correct |
| 5 |
Correct |
673 ms |
4424 KB |
Output is correct |
| 6 |
Correct |
568 ms |
4432 KB |
Output is correct |
| 7 |
Correct |
739 ms |
4356 KB |
Output is correct |
| 8 |
Correct |
366 ms |
4436 KB |
Output is correct |
| 9 |
Correct |
559 ms |
1116 KB |
Output is correct |
| 10 |
Correct |
448 ms |
4436 KB |
Output is correct |
| 11 |
Correct |
368 ms |
4436 KB |
Output is correct |
| 12 |
Correct |
48 ms |
4436 KB |
Output is correct |
| 13 |
Correct |
43 ms |
1160 KB |
Output is correct |
| 14 |
Correct |
44 ms |
1152 KB |
Output is correct |
| 15 |
Correct |
40 ms |
1160 KB |
Output is correct |
| 16 |
Correct |
41 ms |
1164 KB |
Output is correct |
| 17 |
Correct |
52 ms |
1068 KB |
Output is correct |
| 18 |
Correct |
440 ms |
4248 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
734 ms |
4336 KB |
Output is correct |
| 2 |
Correct |
264 ms |
4296 KB |
Output is correct |
| 3 |
Correct |
359 ms |
4456 KB |
Output is correct |
| 4 |
Correct |
541 ms |
4436 KB |
Output is correct |
| 5 |
Correct |
623 ms |
4368 KB |
Output is correct |
| 6 |
Correct |
625 ms |
4364 KB |
Output is correct |
| 7 |
Correct |
663 ms |
4556 KB |
Output is correct |
| 8 |
Correct |
397 ms |
4448 KB |
Output is correct |
| 9 |
Correct |
54 ms |
4436 KB |
Output is correct |
| 10 |
Correct |
843 ms |
4388 KB |
Output is correct |
| 11 |
Correct |
836 ms |
4436 KB |
Output is correct |
| 12 |
Correct |
874 ms |
4520 KB |
Output is correct |
| 13 |
Correct |
870 ms |
1152 KB |
Output is correct |
| 14 |
Correct |
536 ms |
1108 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
763 ms |
1144 KB |
Output is correct |
| 2 |
Correct |
40 ms |
1248 KB |
Output is correct |
| 3 |
Correct |
367 ms |
1312 KB |
Output is correct |
| 4 |
Correct |
39 ms |
1152 KB |
Output is correct |
| 5 |
Correct |
1 ms |
304 KB |
Output is correct |
| 6 |
Correct |
300 ms |
828 KB |
Output is correct |
| 7 |
Correct |
22 ms |
932 KB |
Output is correct |
| 8 |
Correct |
37 ms |
852 KB |
Output is correct |
| 9 |
Correct |
33 ms |
852 KB |
Output is correct |
| 10 |
Correct |
2 ms |
468 KB |
Output is correct |
| 11 |
Correct |
14 ms |
844 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
724 KB |
Output is correct |
| 2 |
Correct |
5 ms |
844 KB |
Output is correct |
| 3 |
Correct |
3 ms |
852 KB |
Output is correct |
| 4 |
Correct |
4 ms |
852 KB |
Output is correct |
| 5 |
Correct |
4 ms |
824 KB |
Output is correct |
| 6 |
Correct |
4 ms |
852 KB |
Output is correct |
| 7 |
Correct |
26 ms |
4184 KB |
Output is correct |
| 8 |
Correct |
25 ms |
4180 KB |
Output is correct |
| 9 |
Correct |
3 ms |
852 KB |
Output is correct |
| 10 |
Correct |
3 ms |
824 KB |
Output is correct |
| 11 |
Correct |
3 ms |
724 KB |
Output is correct |
| 12 |
Execution timed out |
2096 ms |
224876 KB |
Time limit exceeded |
| 13 |
Halted |
0 ms |
0 KB |
- |
