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#include <bits/stdc++.h> | ||
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using ll = long long; | ||
const ll MOD = 1e9 + 7; | ||
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int s, a, b, c, mval; | ||
ll dp[51]; | ||
ll combi[51][51]; | ||
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void getinput() | ||
{ | ||
std::cin >> s >> a >> b >> c; | ||
} | ||
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void init() | ||
{ | ||
// combination | ||
combi[0][0] = 1; | ||
for (int i = 1; i <= 50; i++) | ||
{ | ||
combi[i][0] = 1; | ||
for (int j = 1; j <= i; j++) | ||
{ | ||
combi[i][j] = (combi[i - 1][j - 1] + combi[i - 1][j]) % MOD; | ||
} | ||
} | ||
} | ||
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ll comb(int i, int j) | ||
{ | ||
return combi[i][j] % MOD; | ||
} | ||
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ll solve(int song) | ||
{ | ||
if (song <= 0) | ||
return 0; | ||
auto &ret = dp[song]; | ||
if (ret != -1) | ||
return ret; | ||
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ret = comb(song, a); | ||
ret = (ret * comb(song, b)) % MOD; | ||
ret = (ret * comb(song, c)) % MOD; | ||
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for (int i = song - 1; i >= a; i--) | ||
ret = (ret - (comb(song, i) * solve(i)) % MOD + MOD) % MOD; | ||
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return ret; | ||
} | ||
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ll solve() | ||
{ | ||
std::memset(dp, -1, sizeof(dp)); | ||
init(); | ||
if (a + b + c < s) | ||
return 0; | ||
return solve(s); | ||
} | ||
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int main() | ||
{ | ||
std::ios::sync_with_stdio(false); | ||
std::cin.tie(0); | ||
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getinput(); | ||
std::cout << solve() << '\n'; | ||
} |
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#include <bits/stdc++.h> | ||
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using ll = long long; | ||
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int n; | ||
std::vector<ll> a; | ||
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void getinput() | ||
{ | ||
std::cin >> n; | ||
for (int i = 0; i < n; i++) | ||
{ | ||
int num; | ||
std::cin >> num; | ||
a.push_back(num); | ||
} | ||
} | ||
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int solve() | ||
{ | ||
int ans1 = 0; | ||
ll sum1 = (a[0] + a[1]) * 3; | ||
for (int i = 1; i < n - 1; i++) | ||
{ | ||
if ((a[i] + a[i + 1]) * 3 < sum1) | ||
{ | ||
sum1 = (a[i] + a[i + 1]) * 3; | ||
ans1 = i; | ||
} | ||
} | ||
if (n == 2) | ||
return ans1; | ||
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int ans2 = 0; | ||
ll sum2 = (a[0] + a[1] + a[2]) * 2; | ||
for (int i = 1; i < n - 2; i++) | ||
{ | ||
if ((a[i] + a[i + 1] + a[i + 2]) * 2 < sum2) | ||
{ | ||
sum2 = (a[i] + a[i + 1] + a[i + 2]) * 2; | ||
ans2 = i; | ||
} | ||
} | ||
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if (sum1 < sum2) | ||
return ans1; | ||
else if (sum1 > sum2) | ||
return ans2; | ||
else | ||
return std::min(ans1, ans2); | ||
} | ||
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int main() | ||
{ | ||
std::ios::sync_with_stdio(false); | ||
std::cin.tie(0); | ||
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getinput(); | ||
std::cout << solve() << '\n'; | ||
} |
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#include <bits/stdc++.h> | ||
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std::string a, b; | ||
int dp[1001][1001]; | ||
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void getinput() | ||
{ | ||
std::cin >> a >> b; | ||
} | ||
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int solve() | ||
{ | ||
int n = a.length(), m = b.length(); | ||
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for (int i = 1; i <= n; i++) | ||
{ | ||
dp[i][0] = i; | ||
} | ||
for (int j = 1; j <= m; j++) | ||
{ | ||
dp[0][j] = j; | ||
} | ||
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for (int i = 1; i <= n; i++) | ||
{ | ||
for (int j = 1; j <= m; j++) | ||
{ | ||
if (a[i - 1] == b[j - 1]) | ||
dp[i][j] = dp[i - 1][j - 1]; | ||
else | ||
dp[i][j] = std::min({dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1]}) + 1; | ||
} | ||
} | ||
return dp[n][m]; | ||
} | ||
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int main() | ||
{ | ||
std::ios::sync_with_stdio(false); | ||
std::cin.tie(0); | ||
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getinput(); | ||
std::cout << solve() << '\n'; | ||
} |
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#include <bits/stdc++.h> | ||
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using ll = long long; | ||
int n, k; | ||
std::vector<int> numbers; | ||
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void getinput() | ||
{ | ||
std::cin >> n >> k; | ||
for (int i = 0; i < n; i++) | ||
{ | ||
int num; | ||
std::cin >> num; | ||
numbers.push_back(num); | ||
} | ||
} | ||
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ll solve() | ||
{ | ||
ll ans = 0; | ||
int half = (k + 1) / 2; | ||
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if (k == 1) | ||
{ | ||
for (auto &num : numbers) | ||
ans += num; | ||
return ans; | ||
} | ||
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std::multiset<int, std::greater<int>> left; | ||
std::multiset<int> right; | ||
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for (int i = 0; i < k - 1; i++) | ||
{ | ||
left.insert(numbers[i]); | ||
} | ||
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for (int i = k - 1; i < n; i++) | ||
{ | ||
// add number[i] | ||
right.insert(numbers[i]); | ||
while (left.size() > half) | ||
{ | ||
auto val = *(left.begin()); | ||
right.insert(val); | ||
left.erase(left.begin()); | ||
} | ||
while (right.size() > k - half) | ||
{ | ||
auto val = *(right.begin()); | ||
left.insert(val); | ||
right.erase(right.begin()); | ||
} | ||
if (*(left.begin()) > *(right.begin())) | ||
{ | ||
auto lval = *(left.begin()); | ||
auto rval = *(right.begin()); | ||
left.erase(left.begin()); | ||
right.erase(right.begin()); | ||
left.insert(rval); | ||
right.insert(lval); | ||
} | ||
// calculate median | ||
auto median = *(left.begin()); | ||
ans += median; | ||
// erase number[i-k+1] | ||
auto erase = numbers[i - k + 1]; | ||
auto it = left.find(erase); | ||
if (it != left.end()) | ||
{ | ||
left.erase(it); | ||
} | ||
else | ||
{ | ||
auto it2 = right.find(erase); | ||
right.erase(it2); | ||
} | ||
} | ||
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return ans; | ||
} | ||
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int main() | ||
{ | ||
std::ios::sync_with_stdio(false); | ||
std::cin.tie(0); | ||
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getinput(); | ||
std::cout << solve() << '\n'; | ||
} |
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#include <bits/stdc++.h> | ||
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using ll = long long; | ||
using edge = std::pair<ll, int>; // dist, dest | ||
using node = std::pair<ll, int>; // current cost(dist), current position | ||
using wnode = std::pair<ll, std::pair<int, bool>>; // cur cost, cur pos, cur state (run/walk) | ||
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const ll INF = 1LL << 60; | ||
int n, m; | ||
std::vector<edge> graph[4001]; | ||
ll fdist[4001], wdist[2][4001]; | ||
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void getinput() | ||
{ | ||
std::cin >> n >> m; | ||
for (int i = 0; i < m; i++) | ||
{ | ||
int a, b, d; | ||
std::cin >> a >> b >> d; | ||
graph[a].emplace_back(d * 2, b); | ||
graph[b].emplace_back(d * 2, a); | ||
} | ||
} | ||
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void run_fox() | ||
{ | ||
std::priority_queue<node, std::vector<node>, std::greater<node>> pq; | ||
std::memset(fdist, 0x3f, sizeof(fdist)); | ||
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fdist[1] = 0; | ||
pq.emplace(0, 1); | ||
while (!pq.empty()) | ||
{ | ||
auto [cost, cur] = pq.top(); | ||
pq.pop(); | ||
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if (cost > fdist[cur]) | ||
continue; | ||
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for (auto &[ncost, dest] : graph[cur]) | ||
{ | ||
if (cost + ncost < fdist[dest]) | ||
{ | ||
fdist[dest] = cost + ncost; | ||
pq.emplace(cost + ncost, dest); | ||
} | ||
} | ||
} | ||
} | ||
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void run_wolf() | ||
{ | ||
std::priority_queue<wnode, std::vector<wnode>, std::greater<wnode>> pq; | ||
std::memset(wdist, 0x3f, sizeof(wdist)); | ||
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// true: run, false: walk | ||
// wdist[0][1] = wdist[1][1] = 0을 하면 안 되는 이유 | ||
// 1에서 출발하여 돌다가 다시 1로 돌아온 후, 느리게 걸어나가는 경로가 최적일 수도 있음 | ||
pq.emplace(0, std::make_pair(1, false)); | ||
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while (!pq.empty()) | ||
{ | ||
auto top = pq.top(); | ||
ll cost = top.first, cur = top.second.first; | ||
auto state = top.second.second; | ||
pq.pop(); | ||
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if (cost > wdist[state][cur]) | ||
continue; | ||
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auto nstate = !state; | ||
for (auto &[ncost, dest] : graph[cur]) | ||
{ | ||
auto speed = nstate ? ncost / 2 : ncost * 2; | ||
if (cost + speed < wdist[nstate][dest]) | ||
{ | ||
wdist[nstate][dest] = cost + speed; | ||
pq.emplace(cost + speed, std::make_pair(dest, nstate)); | ||
} | ||
} | ||
} | ||
} | ||
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int solve() | ||
{ | ||
run_fox(); | ||
run_wolf(); | ||
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int ans = 0; | ||
for (int i = 2; i <= n; i++) | ||
{ | ||
if (fdist[i] < std::min(wdist[0][i], wdist[1][i])) | ||
{ | ||
ans++; | ||
} | ||
} | ||
return ans; | ||
} | ||
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int main() | ||
{ | ||
std::ios::sync_with_stdio(false); | ||
std::cin.tie(0); | ||
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getinput(); | ||
std::cout << solve() << '\n'; | ||
} |
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