QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#371128 | #7802. Game of Nim | kevinyang# | AC ✓ | 215ms | 513980kb | C++20 | 7.8kb | 2024-03-30 00:22:33 | 2024-03-30 00:22:35 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
/* Macros {{{ */
/* A lot of this is from some of Benq's submissions
[https://codeforces.com/profile/Benq]
Ugly af to the eyes, but with vim fold its barable
Hopefully c++20 concepts can make all this stuff must cleaner */
/* Basics {{{ */
using ll = long long;
using ld = long double;
using str = string;
using pi = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
#define mp make_pair
#define fi first
#define se second
#define arr array
#define ve vector
using vi = vector<int>;
using vll = vector<ll>;
using vld = vector<ld>;
using vpi = vector<pi>;
using vpll = vector<pll>;
using vpld = vector<pld>;
using vvi = vector<vi>;
using vvll = vector<vll>;
using vvld = vector<vld>;
using vvpi = vector<vpi>;
using vvpll = vector<vpll>;
using vvpld = vector<vpld>;
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define sz size()
#define rsz(a) resize(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define For(i, a, b) for (int i = a; i < b; ++i)
#define Rof(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define rep(a) For(_, 0, a)
#define each(a, x) for (auto &a : x)
#define reach(a, x) for (auto a = x.rbegin(); a != x.rend(); ++a)
template <typename T, typename U>
inline void cmin(T &x, U y) {
if (y < x) x = y;
}
template <typename T, typename U>
inline void cmax(T &x, U y) {
if (x < y) x = y;
}
/*}}}*/
/* IO {{{ */
/* Template Macros {{{ */
#define tcT template <class T
#define tcTU tcT, class U
#define tcTUU tcT, class... U
/*}}}*/
inline namespace Helpers { /*{{{*/
tcT, class = void > struct is_iterable : false_type {};
tcT > struct is_iterable<
T, void_t<decltype(begin(declval<T>())), decltype(end(declval<T>()))>>
: true_type {};
tcT > constexpr bool is_iterable_v = is_iterable<T>::value;
tcT, class = void > struct is_readable : false_type {};
tcT > struct is_readable<T, typename std::enable_if_t<is_same_v<
decltype(cin >> declval<T &>()), istream &>>>
: true_type {};
tcT > constexpr bool is_readable_v = is_readable<T>::value;
tcT, class = void > struct is_printable : false_type {};
tcT > struct is_printable<T, typename std::enable_if_t<is_same_v<
decltype(cout << declval<T>()), ostream &>>>
: true_type {};
tcT > constexpr bool is_printable_v = is_printable<T>::value;
} /* namespace Helpers */
/*}}}*/
inline namespace Input { /*{{{*/
tcT > constexpr bool needs_input_v = !is_readable_v<T> && is_iterable_v<T>;
tcTUU > void re(T &t, U &...u);
tcTU > void re(pair<T, U> &p); /* pairs */
/* re: read{{{ */
tcT > typename enable_if<is_readable_v<T>, void>::type re(T &x) {
cin >> x;
} /* default */
tcT > typename enable_if<needs_input_v<T>, void>::type re(
T &i); // vectors, arrays, etc...
tcTU > void re(pair<T, U> &p) { re(p.fi, p.se); } // pairs
tcT > typename enable_if<needs_input_v<T>, void>::type re(T &i) {
each(x, i) re(x);
}
tcTUU > void re(T &t, U &...u) {
re(t);
re(u...);
} /* read multiple}}} */
/* rv: resize and read vectors{{{ */
void rv(size_t) {}
tcTUU > void rv(size_t N, ve<T> &t, U &...u);
template <class... U>
void rv(size_t, size_t N2, U &...u);
tcTUU > void rv(size_t N, ve<T> &t, U &...u) {
t.rsz(N);
re(t);
rv(N, u...);
}
template <class... U>
void rv(size_t, size_t N2, U &...u) {
rv(N2, u...);
} /*}}}*/
/* dumb shortcuts to read in ints{{{ */
void decrement() {} /* subtract one from each */
tcTUU > void decrement(T &t, U &...u) {
--t;
decrement(u...);
}
#define ints(...) \
int __VA_ARGS__; \
re(__VA_ARGS__);
#define int1(...) \
ints(__VA_ARGS__); \
decrement(__VA_ARGS__); /*}}}*/
} /* namespace Input */
/*}}}*/
inline namespace ToString { /*{{{*/
tcT > constexpr bool needs_output_v = !is_printable_v<T> && is_iterable_v<T>;
/* ts: string representation to print */
tcT > typename enable_if<is_printable_v<T>, str>::type ts(T v) {
stringstream ss;
ss << fixed << setprecision(15) << v;
return ss.str();
} /* default */
tcT > str bit_vec(T t) { /* bit vector to string */
str res = "{";
For(i, 0, t.sz) res += ts(t[i]);
res += "}";
return res;
}
str ts(ve<bool> v) { return bit_vec(v); }
template <size_t SZ>
str ts(bitset<SZ> b) {
return bit_vec(b);
} /* bit vector */
tcTU > str ts(pair<T, U> p); /* pairs */
tcT > typename enable_if<needs_output_v<T>, str>::type ts(
T v); /* vectors, arrays */
tcTU > str ts(pair<T, U> p) { return "(" + ts(p.fi) + ", " + ts(p.se) + ")"; }
tcT > typename enable_if<is_iterable_v<T>, str>::type ts_sep(T v, str sep) {
/* convert container to string w/ separator sep */
bool fst = 1;
str res = "";
for (const auto &x : v) {
if (!fst) res += sep;
fst = 0;
res += ts(x);
}
return res;
}
tcT > typename enable_if<needs_output_v<T>, str>::type ts(T v) {
return "{" + ts_sep(v, ", ") + "}";
}
/* for nested DS */
template <int, class T>
typename enable_if<!needs_output_v<T>, ve<str>>::type ts_lev(const T &v) {
return {ts(v)};
}
template <int lev, class T>
typename enable_if<needs_output_v<T>, ve<str>>::type ts_lev(const T &v) {
if (lev == 0 || !v.sz) return {ts(v)};
ve<str> res;
for (const auto &t : v) {
if (res.sz) res.back() += ",";
ve<str> tmp = ts_lev<lev - 1>(t);
res.insert(end(res), all(tmp));
}
For(i, 0, res.sz) {
str bef = " ";
if (i == 0) bef = "{";
res[i] = bef + res[i];
}
res.back() += "}";
return res;
}
} /* namespace ToString */
/*}}}*/
inline namespace Output { /*{{{*/
template <class T>
void pr_sep(ostream &os, str, const T &t) {
os << ts(t);
}
template <class T, class... U>
void pr_sep(ostream &os, str sep, const T &t, const U &...u) {
pr_sep(os, sep, t);
os << sep;
pr_sep(os, sep, u...);
}
/* print w/ no spaces */
template <class... T>
void pr(const T &...t) {
pr_sep(cout, "", t...);
}
/* print w/ spaces, end with newline */
void ps() { cout << "\n"; }
template <class... T>
void ps(const T &...t) {
pr_sep(cout, " ", t...);
ps();
}
/* debug to cerr */
template <class... T>
void dbg_out(const T &...t) {
pr_sep(cerr, " | ", t...);
cerr << endl;
}
void loc_info(int line, str names) {
cerr << "Line(" << line << ") -> [" << names << "]: ";
}
template <int lev, class T>
void dbgl_out(const T &t) {
cerr << "\n\n" << ts_sep(ts_lev<lev>(t), "\n") << "\n" << endl;
}
} /* namespace Output */
/*}}}}}}}}}*/
int n, p, m;
void solve() {
re(n, p, m);
ve<vvi> dp((n-p)+1, vvi((n-p)+1, vi(513, 0)));
// dp[i][j][k] = number of solutions for i stones with min pile being j and cur xor k
// dp[i][j][k] = (i >= j ? dp[i-j][j][k^j] : 0) + dp[i][j+1][k]
// dp[0][j][0] = 1
for(int j=0; j<=(n-p); ++j) dp[0][j][0] = 1;
for(int i=1; i<=(n-p); ++i) {
for(int j=i; j>0; --j) {
for(int k=0; k<513; ++k) {
dp[i][j][k] = dp[i-j][j][k^j];
if(j < (n-p)) dp[i][j][k] = (dp[i][j][k] + dp[i][j+1][k]) % m;
}
}
}
int res = dp[n-p][1][p];
ps(res);
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
/* cout << fixed << setprecision(6); */
int t = 1;
// cin >> t;
for (int i = 0; i < t; i++) solve();
return 0;
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
* DON'T GET STUCK ON ONE APPROACH
*/
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3664kb
input:
8 3 1000
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
5 2 1000
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
2 1 2
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
6 2 1323123
output:
2
result:
ok 1 number(s): "2"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
10 4 123412412
output:
2
result:
ok 1 number(s): "2"
Test #6:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
20 10 123123
output:
2
result:
ok 1 number(s): "2"
Test #7:
score: 0
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time: 1ms
memory: 3940kb
input:
42 23 231234142
output:
0
result:
ok 1 number(s): "0"
Test #8:
score: 0
Accepted
time: 0ms
memory: 5220kb
input:
42 12 123123342
output:
610
result:
ok 1 number(s): "610"
Test #9:
score: 0
Accepted
time: 4ms
memory: 20460kb
input:
132 42 198519289
output:
386930
result:
ok 1 number(s): "386930"
Test #10:
score: 0
Accepted
time: 7ms
memory: 29868kb
input:
168 55 190931488
output:
7739643
result:
ok 1 number(s): "7739643"
Test #11:
score: 0
Accepted
time: 8ms
memory: 37940kb
input:
248 119 180187404
output:
5541
result:
ok 1 number(s): "5541"
Test #12:
score: 0
Accepted
time: 65ms
memory: 163584kb
input:
318 39 446463275
output:
309993834
result:
ok 1 number(s): "309993834"
Test #13:
score: 0
Accepted
time: 43ms
memory: 154628kb
input:
464 193 484172941
output:
58956714
result:
ok 1 number(s): "58956714"
Test #14:
score: 0
Accepted
time: 139ms
memory: 405940kb
input:
492 49 509191931
output:
410787599
result:
ok 1 number(s): "410787599"
Test #15:
score: 0
Accepted
time: 104ms
memory: 331800kb
input:
500 100 1000000000
output:
898871667
result:
ok 1 number(s): "898871667"
Test #16:
score: 0
Accepted
time: 59ms
memory: 188388kb
input:
500 200 2424
output:
1571
result:
ok 1 number(s): "1571"
Test #17:
score: 0
Accepted
time: 195ms
memory: 513916kb
input:
500 1 998244353
output:
824962382
result:
ok 1 number(s): "824962382"
Test #18:
score: 0
Accepted
time: 215ms
memory: 511820kb
input:
500 2 999999999
output:
479167812
result:
ok 1 number(s): "479167812"
Test #19:
score: 0
Accepted
time: 191ms
memory: 505776kb
input:
500 5 987654321
output:
888251427
result:
ok 1 number(s): "888251427"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
500 499 2
output:
0
result:
ok 1 number(s): "0"
Test #21:
score: 0
Accepted
time: 53ms
memory: 132284kb
input:
500 250 4324
output:
203
result:
ok 1 number(s): "203"
Test #22:
score: 0
Accepted
time: 32ms
memory: 126084kb
input:
500 256 1000000000
output:
0
result:
ok 1 number(s): "0"
Test #23:
score: 0
Accepted
time: 36ms
memory: 127172kb
input:
500 255 1000000000
output:
0
result:
ok 1 number(s): "0"
Test #24:
score: 0
Accepted
time: 43ms
memory: 127960kb
input:
500 254 1000000000
output:
0
result:
ok 1 number(s): "0"
Test #25:
score: 0
Accepted
time: 31ms
memory: 128988kb
input:
500 253 1000000000
output:
0
result:
ok 1 number(s): "0"
Test #26:
score: 0
Accepted
time: 35ms
memory: 130176kb
input:
500 252 1000000000
output:
0
result:
ok 1 number(s): "0"
Test #27:
score: 0
Accepted
time: 44ms
memory: 131160kb
input:
500 251 1000000000
output:
0
result:
ok 1 number(s): "0"
Test #28:
score: 0
Accepted
time: 62ms
memory: 142424kb
input:
500 240 1000000000
output:
78752
result:
ok 1 number(s): "78752"
Test #29:
score: 0
Accepted
time: 104ms
memory: 289328kb
input:
500 127 1000000000
output:
735856900
result:
ok 1 number(s): "735856900"
Test #30:
score: 0
Accepted
time: 102ms
memory: 287656kb
input:
500 128 1000000000
output:
752639907
result:
ok 1 number(s): "752639907"
Test #31:
score: 0
Accepted
time: 152ms
memory: 393544kb
input:
500 64 1000000000
output:
696747666
result:
ok 1 number(s): "696747666"
Test #32:
score: 0
Accepted
time: 124ms
memory: 395236kb
input:
500 63 1000000000
output:
372258537
result:
ok 1 number(s): "372258537"
Test #33:
score: 0
Accepted
time: 25ms
memory: 94540kb
input:
333 123 303739951
output:
0
result:
ok 1 number(s): "0"
Test #34:
score: 0
Accepted
time: 152ms
memory: 404112kb
input:
497 55 842080168
output:
0
result:
ok 1 number(s): "0"
Test #35:
score: 0
Accepted
time: 7ms
memory: 25888kb
input:
395 291 982483005
output:
0
result:
ok 1 number(s): "0"
Test #36:
score: 0
Accepted
time: 3ms
memory: 21024kb
input:
481 389 968737780
output:
0
result:
ok 1 number(s): "0"
Test #37:
score: 0
Accepted
time: 44ms
memory: 150108kb
input:
341 74 211356241
output:
0
result:
ok 1 number(s): "0"
Test #38:
score: 0
Accepted
time: 136ms
memory: 402596kb
input:
447 6 220551443
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 3ms
memory: 12188kb
input:
117 53 229852993
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 47ms
memory: 167136kb
input:
374 92 655232919
output:
510631436
result:
ok 1 number(s): "510631436"
Test #41:
score: 0
Accepted
time: 17ms
memory: 42220kb
input:
161 24 522915247
output:
0
result:
ok 1 number(s): "0"
Test #42:
score: 0
Accepted
time: 2ms
memory: 5572kb
input:
296 264 921737931
output:
0
result:
ok 1 number(s): "0"
Test #43:
score: 0
Accepted
time: 6ms
memory: 12192kb
input:
123 59 249153627
output:
0
result:
ok 1 number(s): "0"
Test #44:
score: 0
Accepted
time: 2ms
memory: 5400kb
input:
321 289 374745139
output:
0
result:
ok 1 number(s): "0"
Test #45:
score: 0
Accepted
time: 19ms
memory: 37512kb
input:
449 321 564028761
output:
0
result:
ok 1 number(s): "0"
Test #46:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
67 65 193423543
output:
0
result:
ok 1 number(s): "0"
Test #47:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
272 268 89068990
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
491 483 929064777
output:
0
result:
ok 1 number(s): "0"
Test #49:
score: 0
Accepted
time: 1ms
memory: 3924kb
input:
344 328 489724616
output:
0
result:
ok 1 number(s): "0"
Test #50:
score: 0
Accepted
time: 0ms
memory: 5588kb
input:
362 330 987111640
output:
0
result:
ok 1 number(s): "0"
Test #51:
score: 0
Accepted
time: 0ms
memory: 12064kb
input:
255 191 825170913
output:
0
result:
ok 1 number(s): "0"
Test #52:
score: 0
Accepted
time: 11ms
memory: 37348kb
input:
297 169 682131614
output:
0
result:
ok 1 number(s): "0"
Test #53:
score: 0
Accepted
time: 56ms
memory: 138192kb
input:
372 116 897520833
output:
406985347
result:
ok 1 number(s): "406985347"
Test #54:
score: 0
Accepted
time: 39ms
memory: 138232kb
input:
351 95 801600616
output:
0
result:
ok 1 number(s): "0"
Test #55:
score: 0
Accepted
time: 11ms
memory: 37392kb
input:
427 299 527480415
output:
0
result:
ok 1 number(s): "0"
Test #56:
score: 0
Accepted
time: 152ms
memory: 433740kb
input:
493 35 345854681
output:
0
result:
ok 1 number(s): "0"
Test #57:
score: 0
Accepted
time: 130ms
memory: 367136kb
input:
466 45 705433124
output:
405583388
result:
ok 1 number(s): "405583388"
Test #58:
score: 0
Accepted
time: 56ms
memory: 159084kb
input:
295 20 478460925
output:
0
result:
ok 1 number(s): "0"
Test #59:
score: 0
Accepted
time: 135ms
memory: 367108kb
input:
459 38 692239363
output:
0
result:
ok 1 number(s): "0"
Test #60:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
3 1 1000
output:
0
result:
ok 1 number(s): "0"
Test #61:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
3 2 1000
output:
0
result:
ok 1 number(s): "0"
Test #62:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
4 1 1000
output:
1
result:
ok 1 number(s): "1"
Test #63:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
4 2 1000
output:
1
result:
ok 1 number(s): "1"
Test #64:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
4 3 1000
output:
0
result:
ok 1 number(s): "0"
Test #65:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
8 3 2
output:
0
result:
ok 1 number(s): "0"
Test #66:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
6 1 100
output:
3
result:
ok 1 number(s): "3"
Test #67:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
6 2 100
output:
2
result:
ok 1 number(s): "2"
Test #68:
score: 0
Accepted
time: 1ms
memory: 3572kb
input:
6 3 100
output:
2
result:
ok 1 number(s): "2"
Test #69:
score: 0
Accepted
time: 11ms
memory: 37500kb
input:
256 128 123981492
output:
1
result:
ok 1 number(s): "1"
Test #70:
score: 0
Accepted
time: 12ms
memory: 36984kb
input:
254 127 1000000000
output:
877
result:
ok 1 number(s): "877"
Test #71:
score: 0
Accepted
time: 175ms
memory: 487824kb
input:
500 14 958912859
output:
650304186
result:
ok 1 number(s): "650304186"
Test #72:
score: 0
Accepted
time: 155ms
memory: 433664kb
input:
500 42 591829519
output:
133671197
result:
ok 1 number(s): "133671197"
Test #73:
score: 0
Accepted
time: 191ms
memory: 511792kb
input:
499 1 999912321
output:
0
result:
ok 1 number(s): "0"
Test #74:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
499 498 984129849
output:
0
result:
ok 1 number(s): "0"
Test #75:
score: 0
Accepted
time: 187ms
memory: 509960kb
input:
498 1 918239128
output:
604086379
result:
ok 1 number(s): "604086379"
Test #76:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
498 497 984192849
output:
0
result:
ok 1 number(s): "0"
Test #77:
score: 0
Accepted
time: 7ms
memory: 36872kb
input:
254 127 877
output:
0
result:
ok 1 number(s): "0"
Test #78:
score: 0
Accepted
time: 11ms
memory: 37904kb
input:
254 125 729
output:
0
result:
ok 1 number(s): "0"
Test #79:
score: 0
Accepted
time: 116ms
memory: 331708kb
input:
500 100 613156101
output:
0
result:
ok 1 number(s): "0"
Test #80:
score: 0
Accepted
time: 126ms
memory: 333624kb
input:
500 99 755405164
output:
3
result:
ok 1 number(s): "3"
Test #81:
score: 0
Accepted
time: 115ms
memory: 333556kb
input:
500 99 924361444
output:
924361439
result:
ok 1 number(s): "924361439"
Test #82:
score: 0
Accepted
time: 115ms
memory: 336756kb
input:
500 97 6974800
output:
1
result:
ok 1 number(s): "1"
Test #83:
score: 0
Accepted
time: 122ms
memory: 338468kb
input:
500 96 42601567
output:
42601566
result:
ok 1 number(s): "42601566"
Test #84:
score: 0
Accepted
time: 191ms
memory: 513856kb
input:
500 1 2
output:
1
result:
ok 1 number(s): "1"
Test #85:
score: 0
Accepted
time: 175ms
memory: 513980kb
input:
500 1 5
output:
2
result:
ok 1 number(s): "2"
Test #86:
score: 0
Accepted
time: 196ms
memory: 513848kb
input:
500 1 14
output:
5
result:
ok 1 number(s): "5"
Test #87:
score: 0
Accepted
time: 175ms
memory: 513904kb
input:
500 1 42
output:
33
result:
ok 1 number(s): "33"
Test #88:
score: 0
Accepted
time: 200ms
memory: 513896kb
input:
500 1 132
output:
123
result:
ok 1 number(s): "123"
Test #89:
score: 0
Accepted
time: 177ms
memory: 513916kb
input:
500 1 429
output:
57
result:
ok 1 number(s): "57"
Test #90:
score: 0
Accepted
time: 191ms
memory: 513856kb
input:
500 1 3
output:
0
result:
ok 1 number(s): "0"
Extra Test:
score: 0
Extra Test Passed