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Submission #200748

# Submission time Handle Problem Language Result Execution time Memory
200748 2020-02-08T05:19:57 Z BThero Boat (APIO16_boat) C++17
100 / 100
 1913 ms 12400 KB 
// Why am I so dumb? :c
// chrono::system_clock::now().time_since_epoch().count()
                                                  
#include<bits/stdc++.h>
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/tree_policy.hpp>

#define pb push_back
#define mp make_pair

#define all(x) (x).begin(), (x).end()

#define fi first
#define se second

using namespace std;
//using namespace __gnu_pbds;

typedef long long ll;   
typedef pair<int, int> pii;
//template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

const int MAXN = (int)1e3 + 5;
const int MOD = (int)1e9 + 7;

int dp[2][MAXN][MAXN];

int mem[MAXN][MAXN];

vector<int> T;

pii arr[MAXN];

int n;

int addMod(int a, int b, int m = MOD) {
    a += b;

    if (m <= a) {
        a -= m;
    }
    
    return a;
}

int mulMod(int a, int b, int m = MOD) {
    return a * 1ll * b % m;
}

int binPow(int a, int b, int m = MOD) {
    int ret = 1;

    while (b > 0) {
        if (b & 1) {
            ret = mulMod(ret, a, m);
        }

        a = mulMod(a, a, m);
        b >>= 1;
    }

    return ret;
}

void solve() {
    scanf("%d", &n);

    for (int i = 1; i <= n; ++i) {
        scanf("%d %d", &arr[i].fi, &arr[i].se);
        T.pb(arr[i].fi);
        T.pb(arr[i].se + 1);
    }

    T.pb(0);
    sort(all(T));
    T.resize(unique(all(T)) - T.begin());

    for (int i = 1; i <= n; ++i) {
        arr[i].fi = lower_bound(all(T), arr[i].fi) - T.begin();
        arr[i].se = lower_bound(all(T), arr[i].se + 1) - T.begin();
    }

    for (int i = 0; i + 1 < T.size(); ++i) {
        int x = T[i + 1] - T[i];
        mem[i][0] = 1;

        for (int j = 1; j <= n; ++j) {
            if (j > x) {
                mem[i][j] = 0;
                continue;
            }

            mem[i][j] = mulMod(mem[i][j - 1], mulMod(x - j + 1, binPow(j, MOD - 2)));
        }                                                                                    
    }    

    dp[0][0][0] = 1;

    for (int i = 1; i <= n; ++i) {
        for (int c = 0; c < T.size(); ++c) {
            for (int cnt = 0; cnt <= n; ++cnt) {
                dp[1][c][cnt] = dp[0][c][cnt];
            }
        }

        int p = 0, w = 0;

        for (int c = arr[i].fi; c < arr[i].se; ++c) {
            for (int cnt = 1; cnt <= n; ++cnt) {
                dp[1][c][cnt] = addMod(dp[1][c][cnt], dp[0][c][cnt - 1]);                                                                
            }

            while (p < c) {
                for (int cnt = 0; cnt <= n; ++cnt) {
                    w = addMod(w, mulMod(dp[0][p][cnt], mem[p][cnt]));
                }

                ++p;
            }

            dp[1][c][1] = addMod(dp[1][c][1], w);
        }

        for (int c = 0; c < T.size(); ++c) {
            for (int cnt = 0; cnt <= n; ++cnt) {
                dp[0][c][cnt] = dp[1][c][cnt];
            }
        }
    }

    int ans = 0;

    for (int c = 0; c + 1 < T.size(); ++c) {
        for (int cnt = 1; cnt <= n; ++cnt) {
            ans = addMod(ans, mulMod(dp[0][c][cnt], mem[c][cnt]));            
        }
    }        

    printf("%d\n", ans);
}

int main() {
    int tt = 1;

    while (tt--) {
        solve();
    }

    return 0;
}

Compilation message

boat.cpp: In function 'void solve()':
boat.cpp:83:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i + 1 < T.size(); ++i) {
                     ~~~~~~^~~~~~~~~~
boat.cpp:100:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int c = 0; c < T.size(); ++c) {
                         ~~^~~~~~~~~~
boat.cpp:124:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int c = 0; c < T.size(); ++c) {
                         ~~^~~~~~~~~~
boat.cpp:133:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int c = 0; c + 1 < T.size(); ++c) {
                     ~~~~~~^~~~~~~~~~
boat.cpp:66:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
boat.cpp:69:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d", &arr[i].fi, &arr[i].se);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1168 ms 12196 KB Output is correct
2 Correct 1190 ms 12196 KB Output is correct
3 Correct 1196 ms 12192 KB Output is correct
4 Correct 1191 ms 12192 KB Output is correct
5 Correct 1240 ms 12192 KB Output is correct
6 Correct 1106 ms 12280 KB Output is correct
7 Correct 1104 ms 12188 KB Output is correct
8 Correct 1078 ms 12400 KB Output is correct
9 Correct 1106 ms 12280 KB Output is correct
10 Correct 1109 ms 12220 KB Output is correct
11 Correct 1062 ms 12284 KB Output is correct
12 Correct 1081 ms 12192 KB Output is correct
13 Correct 1114 ms 12280 KB Output is correct
14 Correct 1100 ms 12280 KB Output is correct
15 Correct 1137 ms 12196 KB Output is correct
16 Correct 129 ms 2424 KB Output is correct
17 Correct 137 ms 2552 KB Output is correct
18 Correct 130 ms 2552 KB Output is correct
19 Correct 145 ms 2808 KB Output is correct
20 Correct 134 ms 2552 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1168 ms 12196 KB Output is correct
2 Correct 1190 ms 12196 KB Output is correct
3 Correct 1196 ms 12192 KB Output is correct
4 Correct 1191 ms 12192 KB Output is correct
5 Correct 1240 ms 12192 KB Output is correct
6 Correct 1106 ms 12280 KB Output is correct
7 Correct 1104 ms 12188 KB Output is correct
8 Correct 1078 ms 12400 KB Output is correct
9 Correct 1106 ms 12280 KB Output is correct
10 Correct 1109 ms 12220 KB Output is correct
11 Correct 1062 ms 12284 KB Output is correct
12 Correct 1081 ms 12192 KB Output is correct
13 Correct 1114 ms 12280 KB Output is correct
14 Correct 1100 ms 12280 KB Output is correct
15 Correct 1137 ms 12196 KB Output is correct
16 Correct 129 ms 2424 KB Output is correct
17 Correct 137 ms 2552 KB Output is correct
18 Correct 130 ms 2552 KB Output is correct
19 Correct 145 ms 2808 KB Output is correct
20 Correct 134 ms 2552 KB Output is correct
21 Correct 1157 ms 11256 KB Output is correct
22 Correct 1236 ms 11328 KB Output is correct
23 Correct 1145 ms 11128 KB Output is correct
24 Correct 1224 ms 11012 KB Output is correct
25 Correct 1278 ms 11064 KB Output is correct
26 Correct 1339 ms 10776 KB Output is correct
27 Correct 1405 ms 10944 KB Output is correct
28 Correct 1390 ms 10768 KB Output is correct
29 Correct 1575 ms 10724 KB Output is correct
30 Correct 1303 ms 12164 KB Output is correct
31 Correct 1307 ms 12180 KB Output is correct
32 Correct 1223 ms 12168 KB Output is correct
33 Correct 1282 ms 12176 KB Output is correct
34 Correct 1317 ms 12144 KB Output is correct
35 Correct 1295 ms 12156 KB Output is correct
36 Correct 1219 ms 12168 KB Output is correct
37 Correct 1176 ms 12152 KB Output is correct
38 Correct 1218 ms 12064 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 2680 KB Output is correct
2 Correct 19 ms 2680 KB Output is correct
3 Correct 26 ms 2680 KB Output is correct
4 Correct 19 ms 2680 KB Output is correct
5 Correct 20 ms 2680 KB Output is correct
6 Correct 19 ms 2680 KB Output is correct
7 Correct 20 ms 2680 KB Output is correct
8 Correct 20 ms 2680 KB Output is correct
9 Correct 20 ms 2680 KB Output is correct
10 Correct 19 ms 2680 KB Output is correct
11 Correct 19 ms 2680 KB Output is correct
12 Correct 18 ms 2680 KB Output is correct
13 Correct 19 ms 2680 KB Output is correct
14 Correct 19 ms 2680 KB Output is correct
15 Correct 19 ms 2680 KB Output is correct
16 Correct 12 ms 1656 KB Output is correct
17 Correct 12 ms 1656 KB Output is correct
18 Correct 13 ms 1656 KB Output is correct
19 Correct 12 ms 1656 KB Output is correct
20 Correct 13 ms 1656 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1168 ms 12196 KB Output is correct
2 Correct 1190 ms 12196 KB Output is correct
3 Correct 1196 ms 12192 KB Output is correct
4 Correct 1191 ms 12192 KB Output is correct
5 Correct 1240 ms 12192 KB Output is correct
6 Correct 1106 ms 12280 KB Output is correct
7 Correct 1104 ms 12188 KB Output is correct
8 Correct 1078 ms 12400 KB Output is correct
9 Correct 1106 ms 12280 KB Output is correct
10 Correct 1109 ms 12220 KB Output is correct
11 Correct 1062 ms 12284 KB Output is correct
12 Correct 1081 ms 12192 KB Output is correct
13 Correct 1114 ms 12280 KB Output is correct
14 Correct 1100 ms 12280 KB Output is correct
15 Correct 1137 ms 12196 KB Output is correct
16 Correct 129 ms 2424 KB Output is correct
17 Correct 137 ms 2552 KB Output is correct
18 Correct 130 ms 2552 KB Output is correct
19 Correct 145 ms 2808 KB Output is correct
20 Correct 134 ms 2552 KB Output is correct
21 Correct 1157 ms 11256 KB Output is correct
22 Correct 1236 ms 11328 KB Output is correct
23 Correct 1145 ms 11128 KB Output is correct
24 Correct 1224 ms 11012 KB Output is correct
25 Correct 1278 ms 11064 KB Output is correct
26 Correct 1339 ms 10776 KB Output is correct
27 Correct 1405 ms 10944 KB Output is correct
28 Correct 1390 ms 10768 KB Output is correct
29 Correct 1575 ms 10724 KB Output is correct
30 Correct 1303 ms 12164 KB Output is correct
31 Correct 1307 ms 12180 KB Output is correct
32 Correct 1223 ms 12168 KB Output is correct
33 Correct 1282 ms 12176 KB Output is correct
34 Correct 1317 ms 12144 KB Output is correct
35 Correct 1295 ms 12156 KB Output is correct
36 Correct 1219 ms 12168 KB Output is correct
37 Correct 1176 ms 12152 KB Output is correct
38 Correct 1218 ms 12064 KB Output is correct
39 Correct 19 ms 2680 KB Output is correct
40 Correct 19 ms 2680 KB Output is correct
41 Correct 26 ms 2680 KB Output is correct
42 Correct 19 ms 2680 KB Output is correct
43 Correct 20 ms 2680 KB Output is correct
44 Correct 19 ms 2680 KB Output is correct
45 Correct 20 ms 2680 KB Output is correct
46 Correct 20 ms 2680 KB Output is correct
47 Correct 20 ms 2680 KB Output is correct
48 Correct 19 ms 2680 KB Output is correct
49 Correct 19 ms 2680 KB Output is correct
50 Correct 18 ms 2680 KB Output is correct
51 Correct 19 ms 2680 KB Output is correct
52 Correct 19 ms 2680 KB Output is correct
53 Correct 19 ms 2680 KB Output is correct
54 Correct 12 ms 1656 KB Output is correct
55 Correct 12 ms 1656 KB Output is correct
56 Correct 13 ms 1656 KB Output is correct
57 Correct 12 ms 1656 KB Output is correct
58 Correct 13 ms 1656 KB Output is correct
59 Correct 1532 ms 12164 KB Output is correct
60 Correct 1449 ms 12280 KB Output is correct
61 Correct 1396 ms 12280 KB Output is correct
62 Correct 1913 ms 12320 KB Output is correct
63 Correct 1455 ms 12152 KB Output is correct
64 Correct 1755 ms 12192 KB Output is correct
65 Correct 1706 ms 12188 KB Output is correct
66 Correct 1733 ms 12192 KB Output is correct
67 Correct 1742 ms 12192 KB Output is correct
68 Correct 1688 ms 12200 KB Output is correct
69 Correct 1591 ms 12200 KB Output is correct
70 Correct 1531 ms 12196 KB Output is correct
71 Correct 1638 ms 12200 KB Output is correct
72 Correct 1687 ms 12216 KB Output is correct
73 Correct 1816 ms 12188 KB Output is correct
74 Correct 192 ms 2424 KB Output is correct
75 Correct 198 ms 2552 KB Output is correct
76 Correct 195 ms 2552 KB Output is correct
77 Correct 209 ms 2552 KB Output is correct
78 Correct 193 ms 2552 KB Output is correct