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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#711858#2472. Counting Haybales_8_8_#0 27ms14068kbC++232.7kb2024-11-05 13:47:452024-11-05 13:47:50

Judging History

你现在查看的是最新测评结果

  • [2024-11-05 13:47:50]
  • 评测
  • 测评结果:0
  • 用时:27ms
  • 内存:14068kb
  • [2024-11-05 13:47:45]
  • 提交

answer

#include <bits/stdc++.h>


using namespace std;
typedef long long ll;

const int N = 5e3 + 12, MOD = (int)1e9 + 7;

int n, h[N], k;

ll binpow(ll a, ll b) {
    ll ret = 1, k = a;
    while(b) {
        if(b & 1) {
            ret *= k;
            ret %= MOD;
        }
        k *= k;
        k %= MOD;
        b /= 2;
    }
    return ret;
}
ll fact[N], fact1[N];
void init() {
    fact[0] = fact1[0] = 1;
    for(int i = 1; i < N; i++) {
        fact[i] = fact[i - 1] * 1ll * i % MOD;
        fact1[i] = binpow(fact[i], MOD - 2);
    }
}
ll ceis(int n, int k) {
    if(k > n) return 0;
    ll ob = fact1[k] * fact1[n - k] % MOD;
    return fact[n] * ob % MOD;
}
void make() {
    for(int i = 1; i <= n; i++) {
        int l, r, f;
        l = r = h[i];
        f = i;
        for(int j = i + 1; j <= n; j++) {
            if(h[j] < h[f]) {
                if(abs(l - h[j]) <= 1 && abs(r - h[j]) <= 1) {
                    f = j;
                }
            }
            l = min(l, h[j]);
            r = max(r, h[j]);
        }
        while(f != i) {
            swap(h[f], h[f - 1]);
            --f;
        }
    }
}
int dp[N][N];
void add(int &x, int y) {
    x += y;
    if(x >= MOD) x -= MOD;
}
int solve(vector<int> a) {
    vector<int> b;
    int m = (int)a.size();
    for(int i = 0; i < m; ) {
        int j = i + 1;
        while(j < m && a[j] == a[j - 1]) {
            j++;
        }
        b.push_back(j - i);
        i = j;
    }
    m = (int)b.size();
    dp[0][b[0]] = 1;
    for(int i = 0; i < b[0]; i++) {
        dp[0][i] = 0;
    }
    for(int i = 1; i < m; i++) {
        for(int j = 0; j <= b[i]; j++) {
            dp[i][j] = 0;
            for(int l = 0; l <= b[i - 1]; l++) {
                if(j != b[i] && !l) continue;
                add(dp[i][j], dp[i - 1][l] * 1ll * ceis(b[i] - j + l - 1, b[i] - j) % MOD);
            }
        }
    }
    int ret = 0;
    for(int f = 0; f < m; f++) {
        for(int i = 0; i <= b[f]; i++) {
            add(ret, dp[f][i]);
        }
    }
    ret--;
    if(ret < 0) ret += MOD;
    return ret;
}
void test() {
    cin >> n;
    for(int i = 1; i <= n; i++) {
        cin >> h[i];
    }
    make();
    int res = 1;
    for(int i = 1; i <= n; ) {    
        int j = i + 1;
        vector<int> a(1, h[i]);
        while(j <= n && h[j] <= h[j - 1] + 1) {
            a.push_back(h[j]);
            j++;
        }
        res = res * 1ll * solve(a) % MOD;
        i = j;
    }

    cout << res << '\n';
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    init();

    int t = 1;
    cin >> t;

    while(t--) {
        test();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Pretests


Final Tests

Test #1:

score: 0
Wrong Answer
time: 1ms
memory: 3808kb

input:

7
4
2 2 2 3
4
3 3 1 2
4
5 3 4 2
6
3 3 1 1 2 2
6
1 3 3 4 1 2
6
4 1 2 3 5 4
10
1 5 6 6 6 4 2 3 2 5

output:

4
8
6
18
0
10
0

result:

wrong answer 2nd lines differ - expected: '4', found: '8'

Test #2:

score: 0
Wrong Answer
time: 0ms
memory: 5732kb

input:

10
10
447773962 773442532 122816 137572579 324627123 157577940 253498609 99147813 425825313 199995380
10
416515986 416515986 416515987 416515987 416515988 416515988 416515989 416515989 416515988 416515989
10
563229302 563229301 563229301 563229302 563229301 563229300 563229300 563229301 563229302 56...

output:

0
144
0
131
60
0
150
78
120
70

result:

wrong answer 1st lines differ - expected: '1', found: '0'

Test #3:

score: 0
Wrong Answer
time: 1ms
memory: 3700kb

input:

10
10
468145963 198730372 27838076 590195590 467423861 520495379 451366491 344173378 354694313 165814381
10
219739800 219739801 219739801 219739800 219739799 219739799 219739798 219739798 219739798 219739799
10
568161994 568161995 568161994 568161994 568161994 568161994 568161993 568161994 568161995...

output:

64
144
0
11
26
62
252
55
136
276

result:

wrong answer 1st lines differ - expected: '1', found: '64'

Test #4:

score: 0
Wrong Answer
time: 16ms
memory: 3744kb

input:

1
5000
2 1 3 3 1 1 2 2 3 2 3 1 1 1 1 1 1 1 2 3 1 1 2 2 2 1 1 2 3 2 2 3 1 3 2 3 1 2 2 2 1 1 3 2 2 1 1 2 2 3 3 3 1 1 1 3 2 3 3 1 3 1 3 1 3 3 3 2 2 2 1 2 2 3 2 3 2 1 1 1 2 2 2 3 1 2 1 1 2 2 3 2 2 3 1 3 1 2 2 1 1 3 1 1 2 3 1 3 2 2 2 2 3 2 3 2 3 3 3 1 2 3 3 2 2 2 2 3 1 2 2 1 1 1 1 3 3 1 1 1 3 2 2 1 3 2 2...

output:

0

result:

wrong answer 1st lines differ - expected: '493836655', found: '0'

Test #5:

score: 0
Wrong Answer
time: 4ms
memory: 14068kb

input:

10
500
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

998
0
0
0
0
0
0
0
0
0

result:

wrong answer 1st lines differ - expected: '523068127', found: '998'

Test #6:

score: 0
Wrong Answer
time: 0ms
memory: 14048kb

input:

10
500
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101...

output:

998
0
0
0
0
0
0
0
0
0

result:

wrong answer 1st lines differ - expected: '523068127', found: '998'

Test #7:

score: 0
Wrong Answer
time: 12ms
memory: 3996kb

input:

1
5000
2 3 2 3 6 5 6 8 8 11 11 11 13 14 15 16 17 18 19 21 21 23 24 24 25 25 27 27 29 31 32 33 34 34 35 37 38 39 40 40 40 43 44 43 46 46 48 48 50 50 51 52 52 53 56 55 57 57 58 61 62 62 64 64 64 67 68 69 69 71 72 73 74 75 75 77 76 77 79 81 82 82 84 84 85 87 88 88 89 91 91 93 94 93 94 97 97 97 100 101 ...

output:

0

result:

wrong answer 1st lines differ - expected: '290956746', found: '0'

Test #8:

score: 0
Wrong Answer
time: 1ms
memory: 3756kb

input:

10
100
1 1 4 2 2 4 3 2 4 2 3 2 3 1 1 2 2 1 2 3 3 4 4 2 2 2 1 3 2 3 4 3 1 2 2 4 4 2 1 4 3 2 4 4 1 1 3 4 4 4 1 2 3 2 4 2 3 1 2 1 1 2 2 3 2 4 2 2 2 2 4 2 4 4 2 1 3 1 2 1 2 3 2 2 3 2 2 4 2 2 3 2 2 4 4 4 1 2 3 2
100
2 3 2 3 3 3 3 2 2 2 1 3 1 2 3 4 3 3 3 3 4 2 3 4 1 1 2 3 3 3 1 4 4 1 4 2 4 3 2 3 4 4 1 3 2...

output:

0
482162404
0
0
644325541
0
191006757
889374014
1734015
0

result:

wrong answer 1st lines differ - expected: '762655378', found: '0'

Test #9:

score: 0
Wrong Answer
time: 1ms
memory: 3892kb

input:

10
100
4 1 4 1 4 2 3 4 1 2 1 3 2 4 2 2 3 4 2 4 3 1 3 3 4 2 3 4 3 1 2 2 2 2 4 4 2 1 1 2 1 2 4 3 1 2 2 1 1 2 1 3 2 4 4 3 2 3 4 1 1 2 2 2 2 3 4 3 4 2 2 1 2 1 2 3 4 1 3 2 1 3 3 1 4 3 1 1 2 4 4 1 4 3 3 2 1 1 2 2
100
1 2 3 2 1 4 1 4 3 3 1 2 3 3 4 3 4 2 2 3 3 2 3 3 3 3 2 2 1 1 1 1 2 2 2 4 1 4 3 1 3 3 3 4 2...

output:

489686469
216242631
149556728
0
0
953515462
0
0
0
863456744

result:

wrong answer 1st lines differ - expected: '46441250', found: '489686469'

Test #10:

score: 0
Wrong Answer
time: 1ms
memory: 3700kb

input:

10
100
1 2 3 2 2 1 1 2 1 1 1 4 2 1 1 1 1 2 2 2 1 2 4 2 4 3 1 4 3 3 3 1 4 1 3 4 3 3 3 4 2 3 3 3 4 3 2 4 4 2 4 4 4 1 1 1 3 1 4 2 3 1 4 4 4 4 1 3 1 3 4 4 4 1 4 3 2 1 2 1 3 2 2 3 2 1 2 4 4 4 1 4 3 2 3 2 4 2 1 4
100
3 1 3 1 2 2 1 2 1 3 1 1 4 1 1 1 1 1 2 3 2 4 3 2 4 1 2 4 4 2 1 1 2 4 1 4 2 1 2 1 2 3 2 2 1...

output:

0
421847748
0
970560858
0
0
647885557
832131450
443542049
425582313

result:

wrong answer 1st lines differ - expected: '621199694', found: '0'

Test #11:

score: 0
Wrong Answer
time: 1ms
memory: 3604kb

input:

10
100
8 3 1 5 7 5 8 9 5 6 3 1 2 8 8 3 2 3 1 2 7 7 10 9 1 4 6 9 9 2 7 1 8 9 3 8 10 6 8 2 6 5 2 8 4 6 7 2 5 9 5 2 7 3 6 1 7 1 7 8 9 1 6 7 10 4 4 6 1 4 4 5 2 1 9 9 1 5 7 2 6 8 9 2 2 8 9 9 4 4 8 6 3 9 9 10 4 5 2 9
100
4 3 1 2 9 9 2 7 4 6 10 5 10 4 5 6 9 2 3 2 6 4 10 7 6 4 6 1 1 6 4 2 1 1 4 3 4 7 8 3 1 ...

output:

0
0
0
0
0
0
0
0
0
0

result:

wrong answer 1st lines differ - expected: '2488320', found: '0'

Test #12:

score: 0
Wrong Answer
time: 0ms
memory: 3944kb

input:

10
100
193563111 193563110 193563109 193563108 193563109 193563108 193563109 193563109 193563110 193563111 193563110 193563110 193563109 193563111 193563110 193563109 193563108 193563110 193563109 193563107 193563108 193563110 193563110 193563110 193563109 193563110 193563108 193563107 193563106 193...

output:

251880754
0
209078544
181673361
253859497
0
320509008
713539022
5001
742404204

result:

wrong answer 1st lines differ - expected: '725199468', found: '251880754'

Test #13:

score: 0
Wrong Answer
time: 1ms
memory: 3948kb

input:

10
100
165531093 165531092 165531090 165531090 165531088 165531089 165531089 165531090 165531091 165531090 165531090 165531091 165531089 165531089 165531089 165531087 165531088 165531088 165531086 165531086 165531085 165531084 165531084 165531083 165531084 165531083 165531084 165531084 165531085 165...

output:

921266218
13796369
35357821
318255244
43848940
382289091
966578998
137205613
723302395
166873797

result:

wrong answer 1st lines differ - expected: '977126526', found: '921266218'

Test #14:

score: 0
Wrong Answer
time: 6ms
memory: 5836kb

input:

5
1000
835051605 835051606 835051607 835051608 835051609 835051609 835051608 835051608 835051609 835051610 835051609 835051609 835051609 835051610 835051610 835051609 835051609 835051608 835051607 835051607 835051606 835051606 835051606 835051606 835051605 835051606 835051606 835051606 835051604 835...

output:

0
0
63211581
0
0

result:

wrong answer 1st lines differ - expected: '93384863', found: '0'

Test #15:

score: 0
Wrong Answer
time: 6ms
memory: 3716kb

input:

5
1000
551842461 551842460 551842459 551842459 551842457 551842457 551842459 551842458 551842456 551842455 551842456 551842458 551842459 551842457 551842457 551842458 551842456 551842456 551842455 551842454 551842452 551842451 551842453 551842451 551842453 551842453 551842453 551842454 551842453 551...

output:

0
783555656
299389274
801293956
189433890

result:

wrong answer 1st lines differ - expected: '167959558', found: '0'

Test #16:

score: 0
Wrong Answer
time: 7ms
memory: 3828kb

input:

5
1000
911411059 911411057 911411057 911411055 911411055 911411053 911411054 911411055 911411056 911411055 911411055 911411055 911411054 911411055 911411056 911411058 911411058 911411058 911411057 911411058 911411059 911411059 911411060 911411060 911411060 911411059 911411059 911411059 911411060 911...

output:

0
132258874
43769748
508683902
229257102

result:

wrong answer 1st lines differ - expected: '749921974', found: '0'

Test #17:

score: 0
Wrong Answer
time: 8ms
memory: 5968kb

input:

5
1000
239756971 239756970 239756971 239756970 239756969 239756970 239756969 239756970 239756969 239756968 239756969 239756968 239756969 239756969 239756968 239756967 239756966 239756966 239756967 239756966 239756966 239756966 239756966 239756966 239756967 239756965 239756966 239756967 239756967 239...

output:

4285436
720943336
452620577
425431808
451682286

result:

wrong answer 1st lines differ - expected: '205752624', found: '4285436'

Test #18:

score: 0
Wrong Answer
time: 14ms
memory: 3780kb

input:

1
5000
316394141 316394140 316394140 316394141 316394141 316394141 316394141 316394140 316394140 316394141 316394140 316394141 316394141 316394140 316394141 316394141 316394141 316394140 316394140 316394139 316394140 316394139 316394139 316394139 316394139 316394140 316394140 316394140 316394139 316...

output:

879833239

result:

wrong answer 1st lines differ - expected: '651398981', found: '879833239'

Test #19:

score: 0
Wrong Answer
time: 21ms
memory: 3980kb

input:

1
5000
698334028 698334028 698334027 698334028 698334028 698334028 698334028 698334027 698334027 698334028 698334028 698334028 698334027 698334027 698334027 698334028 698334028 698334027 698334028 698334028 698334027 698334028 698334028 698334027 698334028 698334027 698334028 698334027 698334028 698...

output:

588758410

result:

wrong answer 1st lines differ - expected: '192833632', found: '588758410'

Test #20:

score: 0
Wrong Answer
time: 22ms
memory: 3660kb

input:

1
5000
104725913 104725912 104725912 104725912 104725912 104725913 104725913 104725913 104725913 104725912 104725913 104725913 104725912 104725912 104725912 104725912 104725913 104725912 104725913 104725912 104725913 104725913 104725913 104725913 104725913 104725912 104725913 104725912 104725913 104...

output:

464289173

result:

wrong answer 1st lines differ - expected: '433813305', found: '464289173'

Test #21:

score: 0
Wrong Answer
time: 27ms
memory: 3796kb

input:

1
5000
631500634 631500634 631500634 631500633 631500634 631500633 631500634 631500634 631500633 631500633 631500634 631500634 631500634 631500634 631500633 631500633 631500635 631500634 631500634 631500634 631500635 631500635 631500634 631500634 631500634 631500634 631500635 631500634 631500634 631...

output:

0

result:

wrong answer 1st lines differ - expected: '218954931', found: '0'