Submission #1005596

# Submission time Handle Problem Language Result Execution time Memory
1005596 2024-06-22T15:59:25 Z anango Necklace (Subtask 1-3) (BOI19_necklace1) C++17
53 / 85
1450 ms 736 KB
#include <bits/stdc++.h>
#define int long long

using namespace std;
mt19937 rng;
int INF = 1LL<<60;
int p = 2071723;
int MOD = 1000000033;
std::chrono::steady_clock::time_point begin2 = std::chrono::steady_clock::now();

string a;
string b;
int n,m;

vector<int> hashes;

void compute_hash(string s) {
    int n1 = s.size();
    hashes.clear();
    hashes=vector<int>(n1+1,0);
    int ha = 0;
    for (int i=0; i<n1; i++) {
        ha += s[i]-'a';
        ha *= p;
        ha %= MOD;
        hashes[i+1] = ha;
    }
    
}

int exp(int p, int n) {
    int ans=1;
    int r = p;
    for (int i=0; i<30; i++) {
        if (n&(1<<i)) {
            ans*=r;
            ans%=MOD;
        }
        r*=r;
        r%=MOD;
    }
    return ans;
}

int gethash(int l, int r) {
    int h1 = hashes[l];
    int h2 = hashes[r+1];
    h1 *= exp(p,r-l+1);
    h1%=MOD;
    int dif = h2-h1;
    dif%=MOD;
    dif+=MOD;
    dif%=MOD;
    return dif;
}

bool check(int a, int b, int length) {
    return gethash(a,a+length-1)==gethash(b,b+length-1);
}
bool verify(int i, int j, int length) {
    //checks if i...i+length-1 in a = j...j+length-1 in b
    return gethash(i,length-1)==gethash(n+j, length-1);
}
int cutoff;
vector<pair<int,int>> solve() {
    compute_hash(a+b);
    int ans = 0;
    pair<int,int> xpos;
    pair<int,int> ypos;
    for (int trial=0; ; trial++) {
        if (!(trial%(4000/(ans+1)))) {
            std::chrono::steady_clock::time_point end2 = std::chrono::steady_clock::now();
            int x = std::chrono::duration_cast<std::chrono::microseconds>(end2 - begin2).count();
            if (x>cutoff) {
                //cout <<x <<" " << cutoff <<" " << trial << " " << ans << endl;
                return {{ans,ans},xpos,ypos};
            }
        }
        int i,j;
        i=rng()%n;  
        j=rng()%m;
        if (a[i]!=b[j]) {
            continue;
        }
        int l,r;
        l=0;
        r=0;
        while (l+i>=0 && l+j>=0 && a[i+l]==b[j+l]) {
            //cout << "doing " << i <<" " << l <<" " << a[i+l] <<" " << b[j+l] << endl;
            l--;
        }
        l++;
        while (r+i<=n-1 && r+j<=m-1 && a[i+r]==b[j+r]) {
            r++;
        }
        r--;
        int length = r-l+1;
        int subans = length;
        if (subans>ans) {
            ans=subans;
            xpos={i+l,i+l+length};
            ypos={j+l,j+l+length};
        }
        if (subans<=ans/2) {
            continue;
        }
        for (int blubber=1; blubber<=length; blubber++) { //add it on both sides
            int la = i+r+1;
            int ra = i+r+blubber;
            int lb = j+l-blubber;
            int rb = j+l-1;
            if (!(0<=la && la<=n-1) || !(0<=lb && rb<=m-1)) {
                break;
            }
            if (gethash(la,ra)==gethash(n+lb,n+rb)) {
                int subans = blubber+length;
                if (subans>ans) {
                    //cout << a <<" " << b <<" " << ans <<" " << i <<" " << j <<" " << blubber <<" " << subans << endl;
                    //cout << la <<" " << ra <<" " << lb <<" " << rb << endl;
                    ans=subans;
                    xpos = {i+l,ra};
                    ypos = {lb,j+r};
                }
            }
        }

    }
    return {{ans,ans},xpos,ypos};

    
}

signed main() {
    //freopen("input.txt","r", stdin);
    //freopen("output.txt","w",stdout);
    const std::clock_t c_start = std::clock();
    auto t_start = std::chrono::high_resolution_clock::now();
    cin >> a;
    cin >> b;
    n=a.size();
    m=b.size();
    vector<pair<int,int>> ans2;
    vector<int> ans(3);
    int TL = 1450000;
    cutoff=TL/4;
    ans2=solve();
    ans[0] = ans2[0].first;
    ans[1] = ans2[1].first; 
    ans[2] = ans2[2].first;
    reverse(b.begin(), b.end());
    cutoff=2*TL/4;
    ans2 = solve();
    if (ans2[0].first>ans[0]) {
        ans[0] = ans2[0].first;
        ans[1] = ans2[1].first;
        ans[2] = m-ans2[2].second-1;
    }
    reverse(a.begin(), a.end());
    cutoff=3*TL/4;
    ans2 = solve();
    if (ans2[0].first>ans[0]) {
        ans[0] = ans2[0].first;
        ans[1] = n-ans2[1].second-1;
        ans[2] = m-ans2[2].second-1;
    }
    reverse(b.begin(), b.end());
    cutoff=4*TL/4;
    ans2 = solve();
    if (ans2[0].first>ans[0]) {
        ans[0] = ans2[0].first;
        ans[1] = n-ans2[1].second-1;
        ans[2] = ans2[2].first;
    }
    cout << ans[0] << endl;
    cout << ans[1] <<" " << ans[2] << endl;


    //want to store for each x and j, the smallest t such that match[x][t]+t = j
    

}

Compilation message

necklace.cpp: In function 'int main()':
necklace.cpp:136:24: warning: unused variable 'c_start' [-Wunused-variable]
  136 |     const std::clock_t c_start = std::clock();
      |                        ^~~~~~~
necklace.cpp:137:10: warning: variable 't_start' set but not used [-Wunused-but-set-variable]
  137 |     auto t_start = std::chrono::high_resolution_clock::now();
      |          ^~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1442 ms 412 KB Output is correct
2 Correct 1448 ms 412 KB Output is correct
3 Correct 1446 ms 416 KB Output is correct
4 Correct 1444 ms 348 KB Output is correct
5 Correct 1444 ms 416 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1442 ms 412 KB Output is correct
2 Correct 1448 ms 412 KB Output is correct
3 Correct 1446 ms 416 KB Output is correct
4 Correct 1444 ms 348 KB Output is correct
5 Correct 1444 ms 416 KB Output is correct
6 Correct 1432 ms 432 KB Output is correct
7 Correct 1444 ms 424 KB Output is correct
8 Correct 1450 ms 348 KB Output is correct
9 Correct 1448 ms 348 KB Output is correct
10 Correct 1445 ms 432 KB Output is correct
11 Correct 1437 ms 344 KB Output is correct
12 Correct 1446 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1442 ms 412 KB Output is correct
2 Correct 1448 ms 412 KB Output is correct
3 Correct 1446 ms 416 KB Output is correct
4 Correct 1444 ms 348 KB Output is correct
5 Correct 1444 ms 416 KB Output is correct
6 Correct 1432 ms 432 KB Output is correct
7 Correct 1444 ms 424 KB Output is correct
8 Correct 1450 ms 348 KB Output is correct
9 Correct 1448 ms 348 KB Output is correct
10 Correct 1445 ms 432 KB Output is correct
11 Correct 1437 ms 344 KB Output is correct
12 Correct 1446 ms 348 KB Output is correct
13 Correct 1445 ms 344 KB Output is correct
14 Correct 1445 ms 476 KB Output is correct
15 Correct 1450 ms 492 KB Output is correct
16 Correct 1446 ms 528 KB Output is correct
17 Correct 1443 ms 476 KB Output is correct
18 Correct 1444 ms 524 KB Output is correct
19 Correct 1444 ms 736 KB Output is correct
20 Partially correct 1443 ms 596 KB Output is partially correct
21 Correct 1449 ms 344 KB Output is correct