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#include <bits/stdc++.h>
using namespace std;
#define X first
#define Y second
#define mp make_pair
#define pb push_back
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <int, pii> pip;
typedef pair <pii, int> ppi;
typedef pair <ll, ll> pll;
const int INF=0x3f3f3f3f;
const int N=102;
const int M=1005;
const int MOD=1e9+7;
int n, m;
int p[N];
int dp[N][N][M][3];
int mul(int a, int b) {
return (ll)a*b%MOD;
}
int add(int a, int b) {
a+=b;
if (a>=MOD) a-=MOD;
return a;
}
int rek(int i, int komp, int br, int kr) {
if (komp<=0) return 0;
if (kr>2) return 0;
if (br>m) return 0;
if (i==n) return komp==1 && kr==2;
int &ret=dp[i][komp][br][kr];
if (ret!=-1) return ret;
ret=0;
int raz=p[i]-p[i-1];
int nekr=komp-kr;
///1. slucaj -> kraj dodajem
if (i!=n-1) {
///dodajem novu komponentu kraj
ret=add(ret, mul(rek(i+1, komp+1, br+nekr*2*raz+kr*raz, kr+1), 1+!kr));
///kraj mrgam na neku komponentu
ret=add(ret, mul(rek(i+1, komp, br+(nekr-1)*2*raz+(kr+1)*raz+raz, kr+1), nekr*(1+!kr)));
}
else if (i==n-1 && komp==1 && kr==1) ret=add(ret, rek(i+1, komp, br+raz, kr+1));
///2. slucaj -> nova komponenta
ret=add(ret, rek(i+1, komp+1, br+nekr*2*raz+kr*raz, kr));
///3. slucaj -> dodajem na neku komponentu
ret=add(ret, mul( rek(i+1, komp, br+(nekr-1)*2*raz+kr*raz+2*raz, kr) , nekr*2));
ret=add(ret, mul( rek(i+1, komp, br+nekr*2*raz+kr*raz, kr), kr) );
///4.slucaj -> spajanje dvije komponente
///nijedna nije kraj
if (nekr>=2) ret=add(ret, mul( rek(i+1, komp-1, br+(nekr-1)*2*raz+2*raz+kr*raz, kr) , nekr*(nekr-1)));
///jedna je kraj
if (nekr>=1 && kr) ret=add(ret, mul( rek(i+1, komp-1, br+(nekr-1)*2*raz+2*raz+kr*raz, kr) , kr*nekr));
///obe su kraj
if (kr==2 && i==n-1) ret=add(ret, rek(i+1, komp-1, br+nekr*2*raz+2*raz, kr));
// printf("pos: %d, raz: %d, br: %d, komp: %d, kr: %d === %d\n", i, raz, br, komp, kr, ret);
return ret;
}
void load() {
scanf("%d %d", &n, &m);
for (int i=0; i<n; ++i) scanf("%d", &p[i]);
sort(p, p+n);
}
int main() {
load();
if (n==1) {
printf("1\n");
return 0;
}
memset(dp, -1, sizeof dp);
int sol=rek(1, 1, 0, 0);
sol=add(sol, mul(rek(1, 1, 0, 1), 2));
printf("%d\n", sol);
return 0;
}
/**
3 7
2 3 6
4 10
3 6 2 9
5 10000
1 2 3 4 5
**/
컴파일 시 표준 에러 (stderr) 메시지
skyscraper.cpp: In function 'void load()':
skyscraper.cpp:81:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
81 | scanf("%d %d", &n, &m);
| ~~~~~^~~~~~~~~~~~~~~~~
skyscraper.cpp:82:34: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
82 | for (int i=0; i<n; ++i) scanf("%d", &p[i]);
| ~~~~~^~~~~~~~~~~~~
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