# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
45603 | gnoor | Boat (APIO16_boat) | C++17 | 1606 ms | 134480 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <cstdio>
#include <algorithm>
#include <map>
using namespace std;
map<int,int> mp;
int a[600];
int b[600];
int mod=1000000007;
int dec[1010];
long long dp[600][1010];
long long p[32][600];
long long q[1010][600][32];
int main () {
int n;
scanf("%d",&n);
for (int i=0;i<n;i++) {
scanf("%d%d",&a[i],&b[i]);
mp[a[i]-1];
mp[b[i]];
}
int i=1;
for (auto &ii:mp) {
dec[i]=ii.first;
ii.second=i++;
}
for (int i=0;i<n;i++) {
a[i]=mp[a[i]-1];
b[i]=mp[b[i]];
}
int nn=mp.size();
for (int j=1;j<=n;j++) p[0][j]=j;
//for (int j=1;j<=n;j++) printf("%lld ",p[0][j]);
//printf("\n");
for (int i=1;i<32;i++) {
//printf("%d: ",i);
for (int j=1;j<=n;j++) {
p[i][j]=2*(p[i-1][j]-p[i-1][j-1]);
p[i][j]%=mod;
p[i][j]+=p[i][j-1]+p[i-1][j-1]*(1<<(i-1));
p[i][j]%=mod;
//printf("%lld ",p[i][j]);
}
//printf("\n");
}
int val;
for (int k=1;k<=nn;k++) {
val=dec[k]-dec[k-1];
for (int j=1;j<=n;j++) {
if (val%2) {
q[k][j][0]=j;
}
for (int i=1;i<32;i++) {
if (val&(1<<i)) {
q[k][j][i]=q[k][j-1][i]+p[i][j]-p[i][j-1]+q[k][j][i-1]-q[k][j-1][i-1]+q[k][j-1][i-1]*(1<<i);
} else {
q[k][j][i]=q[k][j][i-1];
}
}
//printf("%lld ",q[k][j][31]);
}
//printf("\n");
}
for (int i=0;i<n;i++) {
//printf("** %d %d\n",a[i],b[i]);
for (int k=a[i]+1;k<=b[i];k++) {
int cnt=1;
for (int j=i-1;j>=0;j--) {
//printf("** %d %d %d %lld\n",i,j,k,dp[j][k-1]);
dp[i][k]+=dp[j][k-1]*(q[k][cnt][31]-q[k][cnt-1][31]);
//dp[i][k]+=dp[j][k-1]*(dec[k]-dec[k-1]);
dp[i][k]%=mod;
if (k>a[j]&&k<=b[j]) cnt++;
}
dp[i][k]+=q[k][cnt][31]-q[k][cnt-1][31];
dp[i][k]+=dp[i][k-1];
dp[i][k]%=mod;
}
//for (int k=a[i]+1;k<=b[i];k++) {
//dp[i][k]+=(dec[k]-dec[k-1]);
//dp[i][k]+=dp[i][k-1];
//dp[i][k]%=mod;
//}
for (int k=b[i]+1;k<=nn;k++) {
dp[i][k]+=dp[i][k-1];
dp[i][k]%=mod;
}
//for (int k=1;k<=nn;k++) {
//printf("%lld ",dp[i][k]);
//}
//printf("\n");
}
long long ans=0;
for (int i=0;i<n;i++) {
ans+=dp[i][nn];
ans%=mod;
}
printf("%lld\n",ans);
return 0;
}
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