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Submission #249897

# Submission time Handle Problem Language Result Execution time Memory
249897 2020-07-16T10:58:54 Z sealnot123 Ruins 3 (JOI20_ruins3) C++14
100 / 100
 209 ms 5376 KB 
#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define SZ(a) (int)(a).size()
#define FOR(i, a, b) for(int i=(a); i<=(b); ++i)
#define ROF(i, a, b) for(int i=(a); i>=(b); --i)
#define make_unique(a) sort(all((a))), (a).resize(unique(all((a)))-(a).begin())

using namespace std;

typedef pair<int,int> PII;
typedef long long LL;
typedef double DD;
typedef long double LD;
typedef pair<LL,LL> PLL;
typedef pair<DD,DD> PDD;
typedef vector<int> VI;
typedef vector<LL> VL;

const int N = 607;
const int mod = 1000000007;
void plusle(int &a, int b){
    if((a+=b) >= mod) a -= mod;
}
int add(int a, int b){
    return ((a+=b)>=mod) ? a-mod : a;
}
int mul(int a, int b){
    return a * 1ll * b % mod;
}
int dp[N<<1][N];
int comp[N], freestyle[N];
int ranger[N];
int fac[N], inv[N], paskal[N][N];
int place[N][N>>1]; // pillars, sum
int power(int a, int b){
    int ans = 1;
    for(int i = 1; i <= b; i<<=1, a=mul(a,a)){
        if(i&b) ans = mul(ans, a);
    }
    return ans;
}
void init(){
    fac[0] = inv[0] = paskal[0][0] = 1;
    FOR(i, 1, 600){
        fac[i] = mul(fac[i-1], i);
        inv[i] = power(fac[i], mod-2);
        paskal[i][0] = 1;
        FOR(j, 1, i) paskal[i][j] = add(paskal[i-1][j-1], paskal[i-1][j]);
    }
    //printf("[[[%d\n",paskal[2][2]);
    FOR(i, 0, 300) place[0][i] = 1;
    FOR(i, 1, 600){
        FOR(j, 0, 300){
            place[i][j] = 0;
            if(j > 0) place[i][j] = mul( place[i-1][j], i );
            if(i > 1) plusle( place[i][j], mul( mul(paskal[i][2], inv[2]), place[i-2][j+1] ) );
            if(j > 1) plusle( place[i][j], place[i][j-1] );
        }
    }
    //printf("place(2,0) %d\n",place[2][0]);
    comp[1] = 1;
    FOR(i, 2, 600) comp[i] = place[i][0];
    FOR(i, 0, 300) place[0][i] = 1;
    FOR(i, 1, 600){
        FOR(j, 0, 300){
            place[i][j] = 0;
            place[i][j] = mul( place[i-1][j], i );
            if(i > 1) plusle( place[i][j], mul( mul(paskal[i][2], inv[2]), place[i-2][j+1] ) );
            if(j > 0) plusle( place[i][j], place[i][j-1] );
        }
    }
    freestyle[0] = 1;
    FOR(i, 1, 600) freestyle[i] = place[i][0];
    //FOR(i, 0, 5){
    //    printf("comp %d = %d, free %d = %d\n",i,comp[i],i,freestyle[i]);
    //}
    FOR(i, 1, 600){
        // have i arrange index
        // make smth
        FOR(j, 1, i){
            // j is number of pillar in the first component
            int v = mul( paskal[i-1][j-1], comp[j] );
            int w = mul( freestyle[i-j], v );
            plusle( ranger[i], w );
        }
        //if(i <= 5) printf("[%d] %d\n",i,ranger[i]);
    }
}

int mark[N<<1];
void solve(){
    int n;
    init();
    scanf("%d",&n);
    FOR(i,1,n){
        int a; 
        scanf("%d",&a);
        mark[a] = 1;
    }
    dp[(n<<1)+1][0] = 1;
    int Fcnt, Rcnt;
    Fcnt = Rcnt = 0;
    ROF(i, n<<1, 1){
        if(mark[i]){
            FOR(j, 0, Rcnt-Fcnt){
                int remain = Rcnt - Fcnt - j;
                ROF(k, j, 0){
                    int use = j-k;
                    int v = mul( paskal[j][use], ranger[use+1] );
                    plusle(dp[i][k], mul( dp[i+1][j], v ) );
                }
            }
            FOR(j, 0, Rcnt-Fcnt){
                plusle( dp[i][j+1], dp[i+1][j] );
            }
            ++Rcnt;
        }else{
            FOR(j, 0, Rcnt-Fcnt-1){
                int remain = Rcnt - Fcnt - j;
                dp[i][j] = mul(dp[i+1][j], remain);
            }
            ++Fcnt;
        }
        //FOR(j, 0, Rcnt-Fcnt){
        //    printf("(%d, %d) = %d\n",i,j,dp[i][j]);
        //}
    }
    printf("%d",dp[1][0]);
}

int main(){
    solve();
	return 0;
}
/*
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 */

Compilation message

ruins3.cpp: In function 'void solve()':
ruins3.cpp:110:21: warning: unused variable 'remain' [-Wunused-variable]
                 int remain = Rcnt - Fcnt - j;
                     ^~~~~~
ruins3.cpp:98:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&n);
     ~~~~~^~~~~~~~~
ruins3.cpp:101:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d",&a);
         ~~~~~^~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2432 KB Output is correct
2 Correct 6 ms 2560 KB Output is correct
3 Correct 6 ms 2560 KB Output is correct
4 Correct 6 ms 2432 KB Output is correct
5 Correct 6 ms 2560 KB Output is correct
6 Correct 6 ms 2560 KB Output is correct
7 Correct 6 ms 2432 KB Output is correct
8 Correct 6 ms 2560 KB Output is correct
9 Correct 6 ms 2560 KB Output is correct
10 Correct 6 ms 2560 KB Output is correct

Subtask #2
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2432 KB Output is correct
2 Correct 6 ms 2560 KB Output is correct
3 Correct 6 ms 2560 KB Output is correct
4 Correct 6 ms 2432 KB Output is correct
5 Correct 6 ms 2560 KB Output is correct
6 Correct 6 ms 2560 KB Output is correct
7 Correct 6 ms 2432 KB Output is correct
8 Correct 6 ms 2560 KB Output is correct
9 Correct 6 ms 2560 KB Output is correct
10 Correct 6 ms 2560 KB Output is correct
11 Correct 6 ms 2816 KB Output is correct
12 Correct 6 ms 2816 KB Output is correct
13 Correct 8 ms 2816 KB Output is correct
14 Correct 7 ms 2816 KB Output is correct
15 Correct 6 ms 2560 KB Output is correct
16 Correct 6 ms 2816 KB Output is correct
17 Correct 6 ms 2432 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 7 ms 2816 KB Output is correct
20 Correct 7 ms 2816 KB Output is correct

Subtask #3
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2432 KB Output is correct
2 Correct 6 ms 2560 KB Output is correct
3 Correct 6 ms 2560 KB Output is correct
4 Correct 6 ms 2432 KB Output is correct
5 Correct 6 ms 2560 KB Output is correct
6 Correct 6 ms 2560 KB Output is correct
7 Correct 6 ms 2432 KB Output is correct
8 Correct 6 ms 2560 KB Output is correct
9 Correct 6 ms 2560 KB Output is correct
10 Correct 6 ms 2560 KB Output is correct
11 Correct 6 ms 2816 KB Output is correct
12 Correct 6 ms 2816 KB Output is correct
13 Correct 8 ms 2816 KB Output is correct
14 Correct 7 ms 2816 KB Output is correct
15 Correct 6 ms 2560 KB Output is correct
16 Correct 6 ms 2816 KB Output is correct
17 Correct 6 ms 2432 KB Output is correct
18 Correct 7 ms 2816 KB Output is correct
19 Correct 7 ms 2816 KB Output is correct
20 Correct 7 ms 2816 KB Output is correct
21 Correct 9 ms 5376 KB Output is correct
22 Correct 8 ms 5376 KB Output is correct
23 Correct 8 ms 5376 KB Output is correct
24 Correct 10 ms 5340 KB Output is correct
25 Correct 6 ms 2560 KB Output is correct
26 Correct 8 ms 5248 KB Output is correct
27 Correct 7 ms 4224 KB Output is correct
28 Correct 8 ms 5376 KB Output is correct
29 Correct 6 ms 2432 KB Output is correct
30 Correct 209 ms 5368 KB Output is correct
31 Correct 107 ms 5372 KB Output is correct
32 Correct 155 ms 5368 KB Output is correct
33 Correct 192 ms 5368 KB Output is correct
34 Correct 113 ms 5368 KB Output is correct
35 Correct 168 ms 5372 KB Output is correct
36 Correct 192 ms 5368 KB Output is correct