| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 757758 |
2023-06-13T17:47:31 Z |
NK_ |
K-th path (IZhO11_kthpath) |
C++17 |
|
1 ms |
360 KB |
#include <bits/stdc++.h>
using namespace std;
/////////////////////// MACROS ////////////////////////////////////////////
using ll = long long;
using ld = long double;
using db = double;
using str = string;
using pi = pair<int,int>;
using pl = pair<ll,ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vs = vector<str>;
using vc = vector<char>;
using vpi = vector<pi>;
using vpl = vector<pl>;
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
tcTU> using PR = pair<T,U>;
tcTU> using umap = unordered_map<T, U>;
tcT> using uset = unordered_set<T>;
tcT> using mset = multiset<T>;
#define mp make_pair
#define f first
#define s second
#define sz(x) int((x).size())
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define ppb pop_back()
#define ppf pop_front()
#define pb push_back
#define eb emplace_back
#define pf push_front
#define lb lower_bound
#define ub upper_bound
// LOOPS
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_, a)
#define each(a,x) for (auto& a: x)
/////////////////////// IMPORANT VARS /////////////////////////////////////
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INFL = ll(3e18)+10;
const int INF = int(1e9)+10;
const ld PI = acos((ld)-1);
const int dx[4] = {1,0,-1,0}, dy[4] = {0,1,0,-1};
tcT> using pqg = priority_queue<T,vector<T>,greater<T>>;
tcT> using pql = priority_queue<T,vector<T>,less<T>>;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define nl '\n'
constexpr int pct(int x) { return __builtin_popcount(x); } // # of bits set
constexpr int bits(int x) {
return x == 0 ? 0 : 31-__builtin_clz(x); }
constexpr int p2(int x) { return 1<<x; }
constexpr int msk2(int x) { return p2(x)-1; }
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
tcT> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; } // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
tcTU> T fstTrue(T lo, T hi, U f) {
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
T mid = lo+(hi-lo)/2;
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
tcTU> T lstTrue(T lo, T hi, U f) {
lo --; assert(lo <= hi); // assuming f is decreasing
while (lo < hi) { // find first index such that f is true
T mid = lo+(hi-lo+1)/2;
f(mid) ? lo = mid : hi = mid-1;
}
return lo;
}
tcT> void remDup(vector<T>& v) { // sort and remove duplicates
sort(all(v)); v.erase(unique(all(v)),end(v)); }
tcTU> void erase(T& t, const U& u) { // don't erase
auto it = t.find(u); assert(it != end(t));
t.erase(it); } // element that doesn't exist from (multi)set
// #include <ext/pb_ds/assoc_container.hpp>
// using namespace __gnu_pbds;
// tcT> using iset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// #define ook order_of_key
// #define fbo find_by_order
// struct chash {
// const uint64_t C = ll(2e18*PI)+71;
// const int RANDOM = rng();
// ll operator()(ll x) const {
// return __builtin_bswap64((x^RANDOM)*C); }
// };
// template<class K,class V> using um = unordered_map<K,V,chash>;
// template<class K,class V> using ht = gp_hash_table<K,V,chash>;
// template<class K,class V> V get(ht<K,V>& u, K x) {
// auto it = u.find(x); return it == end(u) ? 0 : it->s; }
/////////////////////// OUPUT /////////////////////////////////////////////
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) {
#ifdef LOCAL
return b ? "true" : "false";
#else
return ts((int)b);
#endif
}
tcTU> str ts(pair<T,U> p) {
#ifdef LOCAL
return "("+ts(p.f)+", "+ts(p.s)+")";
#else
return ts(p.f)+" "+ts(p.s);
#endif
}
tcTU> str ts(V<pair<T, U>> v) {
#ifdef LOCAL
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
#else
bool fst = 1; str res = "";
for (const auto& x: v) {
if (!fst) res += " ";
fst = 0; res += ts(x);
}
return res;
#endif
}
tcT> str ts(T v) {
#ifdef LOCAL
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
#else
bool fst = 1; str res = "";
for (const auto& x: v) {
if (!fst) res += " ";
fst = 0; res += ts(x);
}
return res;
#endif
}
///////////////////////// DEBUG ///////////////////////////////////////////
#define tcTUU tcT, class ...U
void DBG() { cerr << "]" << "\e[0m" << endl; }
tcTUU> void DBG(const T& t, const U&... u) {
cerr << ts(t); if (sizeof...(u)) cerr << ", ";
DBG(u...); }
#ifdef LOCAL
#define dbg(...) cerr << "\e[1m" << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
<< __FUNCTION__ << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
#define dbg(...) 0
#define chk(...) 0
#endif
///////////////////////// FILE I/O ////////////////////////////////////////
void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
void setPrec() { cout << fixed << setprecision(15); }
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void setIO(str s = "") {
unsyncIO(); setPrec();
#ifndef LOCAL
if (sz(s)) setIn(s+".in"), setOut(s+".out"); // for USACO
#endif
}
///////////////////////// TEMPLATE ABOVE //////////////////////////////////
// REMEMBER
// - Don't Focus On Only One Approach
// - Read And Understand Problem Fully
// - Think Of Edges Cases
// - Implement Carefully
// - Always Check For Overflows
// - Reset Global Variables
// - Look At The Bigger Picture
// - Don't Get Discouraged, You Can Pull It Back
V<vl> scmb; // small combinations
void genComb(int SZ) {
scmb.assign(SZ,vl(SZ)); scmb[0][0] = 1;
FOR(i,1,SZ) F0R(j,i+1)
scmb[i][j] = scmb[i-1][j]+(j?scmb[i-1][j-1]:0);
}
void solve() {
int N, M; cin >> N >> M;
vs A(N); each(x, A) cin >> x;
ll K; cin >> K;
auto paths = [&](int r, int c) {
int dh = N - 1 - r, dv = M - 1 - c;
// dbg(r, dh, c, dv, scmb[dh + dv][dh]);
return scmb[dh + dv][dh];
};
set<PR<char, pi>> T;
str ans; vpi pos = {mp(0, 0)};
V<vl> dp(N, vl(M)); dp[0][0] = 1;
while(sz(ans) < (N - 1 + M - 1)) {
T = {};
each(p, pos) {
if (p.f+1 < N) {
T.ins(mp(A[p.f+1][p.s], mp(p.f+1, p.s)));
dp[p.f+1][p.s] += dp[p.f][p.s];
}
if (p.s+1 < M) {
T.ins(mp(A[p.f][p.s+1], mp(p.f, p.s+1)));
dp[p.f][p.s+1] += dp[p.f][p.s];
}
}
dbg(T);
map<char, ll> W; each(x, T) W[x.f] += dp[x.s.f][x.s.s] * paths(x.s.f, x.s.s);
char c = ' ';
each(p, W) {
dbg(K, p.s);
if (K <= p.s) {
c = p.f; break;
} else K -= p.s;
}
assert(c != ' ');
dbg(W, K, c);
ans += c;
pos = {}; each(x, T) if (x.f == c) pos.pb(x.s);
dbg(pos, ans);
}
ans = A[0][0] + ans;
cout << ans << nl;
}
int main() {
setIO();
genComb(62);
int TT = 1;
// cin >> TT;
rep(TT) solve();
exit(0-0);
}
Compilation message
kthpath.cpp: In function 'void solve()':
kthpath.cpp:194:19: warning: statement has no effect [-Wunused-value]
194 | #define dbg(...) 0
| ^
kthpath.cpp:261:3: note: in expansion of macro 'dbg'
261 | dbg(T);
| ^~~
kthpath.cpp:194:19: warning: statement has no effect [-Wunused-value]
194 | #define dbg(...) 0
| ^
kthpath.cpp:267:4: note: in expansion of macro 'dbg'
267 | dbg(K, p.s);
| ^~~
kthpath.cpp:194:19: warning: statement has no effect [-Wunused-value]
194 | #define dbg(...) 0
| ^
kthpath.cpp:275:3: note: in expansion of macro 'dbg'
275 | dbg(W, K, c);
| ^~~
kthpath.cpp:194:19: warning: statement has no effect [-Wunused-value]
194 | #define dbg(...) 0
| ^
kthpath.cpp:280:3: note: in expansion of macro 'dbg'
280 | dbg(pos, ans);
| ^~~
kthpath.cpp: In function 'void setIn(str)':
kthpath.cpp:201:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
201 | void setIn(str s) { freopen(s.c_str(),"r",stdin); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
kthpath.cpp: In function 'void setOut(str)':
kthpath.cpp:202:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
202 | void setOut(str s) { freopen(s.c_str(),"w",stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
0 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 ms |
340 KB |
Output is correct |
| 9 |
Correct |
0 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
360 KB |
Output is correct |
| 15 |
Correct |
1 ms |
352 KB |
Output is correct |
| 16 |
Correct |
0 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
0 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
352 KB |
Output is correct |
