Submission #1005590

# Submission time Handle Problem Language Result Execution time Memory
1005590 2024-06-22T15:57:57 Z anango Necklace (Subtask 1-3) (BOI19_necklace1) C++17
53 / 85
1479 ms 676 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*ans<40000000; trial++) {
        if (!(trial%1000)) {
            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 1448 ms 600 KB Output is correct
2 Correct 1448 ms 416 KB Output is correct
3 Correct 1440 ms 344 KB Output is correct
4 Correct 1447 ms 420 KB Output is correct
5 Correct 433 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1448 ms 600 KB Output is correct
2 Correct 1448 ms 416 KB Output is correct
3 Correct 1440 ms 344 KB Output is correct
4 Correct 1447 ms 420 KB Output is correct
5 Correct 433 ms 348 KB Output is correct
6 Correct 1448 ms 596 KB Output is correct
7 Correct 1451 ms 600 KB Output is correct
8 Correct 1160 ms 420 KB Output is correct
9 Correct 1441 ms 348 KB Output is correct
10 Correct 83 ms 348 KB Output is correct
11 Correct 109 ms 348 KB Output is correct
12 Correct 1450 ms 676 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1448 ms 600 KB Output is correct
2 Correct 1448 ms 416 KB Output is correct
3 Correct 1440 ms 344 KB Output is correct
4 Correct 1447 ms 420 KB Output is correct
5 Correct 433 ms 348 KB Output is correct
6 Correct 1448 ms 596 KB Output is correct
7 Correct 1451 ms 600 KB Output is correct
8 Correct 1160 ms 420 KB Output is correct
9 Correct 1441 ms 348 KB Output is correct
10 Correct 83 ms 348 KB Output is correct
11 Correct 109 ms 348 KB Output is correct
12 Correct 1450 ms 676 KB Output is correct
13 Correct 1474 ms 476 KB Output is correct
14 Correct 1454 ms 524 KB Output is correct
15 Correct 1451 ms 528 KB Output is correct
16 Correct 1166 ms 592 KB Output is correct
17 Correct 13 ms 344 KB Output is correct
18 Correct 99 ms 500 KB Output is correct
19 Correct 1379 ms 344 KB Output is correct
20 Partially correct 1460 ms 472 KB Output is partially correct
21 Correct 1479 ms 592 KB Output is correct