// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
#pragma GCC optimize("Ofast,unroll-loops")
/* I don't understand these pragmas at all.
Earlier I added all the optimizations I could find but
upon my short amount of testing, these 2 are enough and adding more makes it slower. */
// -------------------</optimizations>--------------------
// ---------------<Headers and namespaces>----------------
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <ratio>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
*/
// ---------------</Headers and namespaces>---------------
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define ITR :: iterator it
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define TR(container,it) for(typeof(container.begin()) it=container.begin();it!=container.end();it++)
#define sqr(x) ((x)*(x))
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
#define FLSH fflush(stdout)
#define fileIO(name) \
freopen(name".in", "r", stdin); \
freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x);
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// ----------------</Defines and typedefs>----------------
// -------------------<Debugging stuff>-------------------
#define TRACE
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
cerr << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
const char* comma = strchr(names + 1, ',');cerr.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
// ------------------</Debugging stuff>-------------------
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
// ------------------------</RNG>-------------------------
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
const int FACSZ = 1; // Make sure to change this
int fact[FACSZ],ifact[FACSZ];
void precom(int c = MOD){
fact[0] = 1;
FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
REPD(i,FACSZ-1){
ifact[i] = mul(i+1,ifact[i+1],c);
}
}
int ncr(int n,int r,int c = MOD){
return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
}
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
void solvethetestcase();
signed main(){
// (UNCOMMENT FOR CIN/COUT) \
FAST_IO
PRECISION(10)
int t = 1;
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
sfl(t);
FOR(testcase,1,t+1){
// (UNCOMMENT FOR CODEJAM) \
printf("Case #%lld: ",testcase);
solvethetestcase();
}
}
int N,L;
int a[105];
int dp[105][1005][105][3];
void solvethetestcase(){
sfl2(N,L)
FOR(i,1,N+1) sfl(a[i])
sort(a+1,a+N+1);
REP(i,N+3) REP(j,L+3) REP(k,N+3) REP(l,3) dp[i][j][k][l] = 0;
dp[0][0][0][0] = 1;
if(N == 1){
printf("1\n");
return;
}
FOR(i,1,N+1){
REP(sm,L+1){
REP(cmp,i+1){
REP(ep,3){
int new_sm = sm+(a[i]-a[i-1])*(2*cmp-ep); // we're essentially filling the ? with a[i]
// trace(i-1,sm,cmp,ep,new_sm);
if(cmp-(N-i+1) > 1) dp[i-1][sm][cmp][ep] = 0;
if(new_sm > L or (!dp[i-1][sm][cmp][ep])) continue;
dp[i][new_sm][cmp+1][ep] = add(dp[i][new_sm][cmp+1][ep],mul(dp[i-1][sm][cmp][ep],(cmp+1-ep)));
if(ep != 2) dp[i][new_sm][cmp+1][ep+1] = add(dp[i][new_sm][cmp+1][ep+1],mul(dp[i-1][sm][cmp][ep],(2-ep)));
dp[i][new_sm][cmp][ep] = add(dp[i][new_sm][cmp][ep],mul(dp[i-1][sm][cmp][ep],(2*cmp-ep)));
if(cmp and (ep == 0 or (ep == 1 and i == N) or (ep == 1 and cmp > 1))) dp[i][new_sm][cmp][ep+1] = add(dp[i][new_sm][cmp][ep+1],mul(dp[i-1][sm][cmp][ep],(2-ep)));
if(cmp)
dp[i][new_sm][cmp-1][ep] = add(dp[i][new_sm][cmp-1][ep],mul(dp[i-1][sm][cmp][ep],(cmp-1)));
// trace(i,sm,cmp,ep,dp[i-1][sm][cmp][ep]);
}
}
}
}
// FOR(i,1,N+1){
// REP(sm,L+1){
// REP(cmp,i+1){
// REP(ep,3){
// if(dp[i][sm][cmp][ep]){
// if(i == 4){
// if(cmp == 1 and ep == 2) trace(i,sm,cmp,ep,dp[i][sm][cmp][ep]);
// }
// else if(i == 0){
// int new_sm = sm+(a[i]-a[i-1])*(2*cmp-ep);
// if(new_sm == 7) trace(i,sm,cmp,ep,dp[i][sm][cmp][ep]);
// }
// else if(i == 0){
// int new_sm = sm+(a[i]-a[i-1])*(2*cmp-ep);
// if(new_sm == 1 or new_sm == 4 or new_sm == 7) trace(i,sm,cmp,ep,dp[i][sm][cmp][ep]);
// }
// else{
// trace(i,sm,cmp,ep,dp[i][sm][cmp][ep]);
// }
// }
// }
// }
// }
// }
int ans = 0;
FOR(i,1,L+1) ans = add(ans,dp[N][i][1][2]);
pfl(ans)
}
Compilation message
skyscraper.cpp:54:1: warning: multi-line comment [-Wcomment]
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
^
skyscraper.cpp:210:5: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR CIN/COUT) \
^
skyscraper.cpp:215:5: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
^
skyscraper.cpp:218:9: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR CODEJAM) \
^
skyscraper.cpp: In function 'void solvethetestcase()':
skyscraper.cpp:94:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
~~~~~^~~~~~~~~~~~~~~~~~
skyscraper.cpp:229:5: note: in expansion of macro 'sfl2'
sfl2(N,L)
^~~~
skyscraper.cpp:93:21: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
#define sfl(x) scanf("%lld",&x);
~~~~~^~~~~~~~~~~
skyscraper.cpp:230:18: note: in expansion of macro 'sfl'
FOR(i,1,N+1) sfl(a[i])
^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
512 KB |
Output is correct |
| 3 |
Correct |
5 ms |
512 KB |
Output is correct |
| 4 |
Correct |
6 ms |
2560 KB |
Output is correct |
| 5 |
Correct |
17 ms |
26112 KB |
Output is correct |
| 6 |
Correct |
16 ms |
23424 KB |
Output is correct |
| 7 |
Correct |
7 ms |
4864 KB |
Output is correct |
| 8 |
Correct |
5 ms |
2560 KB |
Output is correct |
| 9 |
Correct |
16 ms |
24960 KB |
Output is correct |
| 10 |
Correct |
6 ms |
3712 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
2816 KB |
Output is correct |
| 2 |
Correct |
8 ms |
4608 KB |
Output is correct |
| 3 |
Correct |
6 ms |
2432 KB |
Output is correct |
| 4 |
Correct |
7 ms |
4608 KB |
Output is correct |
| 5 |
Correct |
7 ms |
4608 KB |
Output is correct |
| 6 |
Correct |
7 ms |
4352 KB |
Output is correct |
| 7 |
Correct |
5 ms |
1792 KB |
Output is correct |
| 8 |
Correct |
6 ms |
2304 KB |
Output is correct |
| 9 |
Correct |
6 ms |
3584 KB |
Output is correct |
| 10 |
Correct |
6 ms |
3968 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
512 KB |
Output is correct |
| 3 |
Correct |
5 ms |
512 KB |
Output is correct |
| 4 |
Correct |
6 ms |
2560 KB |
Output is correct |
| 5 |
Correct |
17 ms |
26112 KB |
Output is correct |
| 6 |
Correct |
16 ms |
23424 KB |
Output is correct |
| 7 |
Correct |
7 ms |
4864 KB |
Output is correct |
| 8 |
Correct |
5 ms |
2560 KB |
Output is correct |
| 9 |
Correct |
16 ms |
24960 KB |
Output is correct |
| 10 |
Correct |
6 ms |
3712 KB |
Output is correct |
| 11 |
Correct |
6 ms |
2816 KB |
Output is correct |
| 12 |
Correct |
8 ms |
4608 KB |
Output is correct |
| 13 |
Correct |
6 ms |
2432 KB |
Output is correct |
| 14 |
Correct |
7 ms |
4608 KB |
Output is correct |
| 15 |
Correct |
7 ms |
4608 KB |
Output is correct |
| 16 |
Correct |
7 ms |
4352 KB |
Output is correct |
| 17 |
Correct |
5 ms |
1792 KB |
Output is correct |
| 18 |
Correct |
6 ms |
2304 KB |
Output is correct |
| 19 |
Correct |
6 ms |
3584 KB |
Output is correct |
| 20 |
Correct |
6 ms |
3968 KB |
Output is correct |
| 21 |
Correct |
7 ms |
4992 KB |
Output is correct |
| 22 |
Correct |
120 ms |
165368 KB |
Output is correct |
| 23 |
Correct |
165 ms |
250872 KB |
Output is correct |
| 24 |
Correct |
131 ms |
190072 KB |
Output is correct |
| 25 |
Correct |
162 ms |
253944 KB |
Output is correct |
| 26 |
Correct |
145 ms |
216184 KB |
Output is correct |
| 27 |
Correct |
49 ms |
63920 KB |
Output is correct |
| 28 |
Correct |
67 ms |
78072 KB |
Output is correct |
| 29 |
Correct |
109 ms |
146936 KB |
Output is correct |
| 30 |
Correct |
186 ms |
255352 KB |
Output is correct |
