Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7.

Constraints

* 1 \leq S \leq 2000
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


S


Output

Print the answer.

Examples

Input

7


Output

3


Input

2


Output

0


Input

1729


Output

294867501
//package src.com.jetman.atcoder;

import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Scanner;

/**
 * @description:
 * @author: Jetman
 * @create: 2020-08-29 14:39
 **/
public class Main {

    Scanner sc = new Scanner(System.in);

    long MOD = 1000000000 + 7;

    long dp[][];

    private void slove() {

        int s = sc.nextInt();
        long[] ans = {0,00,0,1,1,1,2,3,4,6,9,13,19,28,41,60,88,129,189,277,406,595,872,1278,1873,2745,4023,5896,8641,12664,18560,27201,39865,58425,85626,125491,183916,269542,395033,578949,848491,1243524,1822473,2670964,3914488,5736961,8407925,12322413,18059374,26467299,38789712,56849086,83316385,122106097,178955183,262271568,384377665,563332848,825604416,209982074,773314922,598919331,808901405,582216320,181135644,990037049,572253362,753389006,743426048,315679403,69068402,812494450,128173846,197242248,9736691,137910537,335152785,344889476,482800013,817952798,162842267,645642280,463595071,626437338,272079611,735674682,362112013,634191624,369866299,731978312,366169929,736036228,468014533,834184462,570220683,38235209,872419671,442640347,480875556,353295220,795935567,276811116,630106336,426041896,702853012,332959341,759001237,461854242,794813583,553814813,15669048,810482631,364297437,379966485,190449109,554746546,934713031,125162133,679908679,614621703,739783836,419692508,34314204,774098040,193790541,228104745,2202778,195993319,424098064,426300842,622294161,46392218,472693060,94987214,141379432,614072492,709059706,850439138,464511623,173571322,24010453,488522076,662093398,686103851,174625920,836719318,522823162,697449082,534168393,56991548,754440630,288609016,345600564,100041187,388650203,734250767,834291954,222942150,957192917,791484864,14427007,971619924,763104781,777531788,749151705,512256479,289788260,38939958,551196437,840984697,879924655,431121085,272105775,152030423,583151508,855257283,7287699,590439207,445696483,452984182,43423382,489119865,942104047,985527429,474647287,416751327,402278749,876926036,293677356,695956105,572882134,866559490,562515588,135397715,1957198,564472786,699870501,701827699,266300478,966170979,667998671,934299149,900470121,568468785,502767927,403238041,971706826,474474746,877712787,849419606,323894345,201607125,51026724,374921069,576528194,627554918,2475980,579004174,206559085,209035065,788039239,994598324,203633382,991672621,986270938,189904313,181576927,167847858,357752171,539329098,707176956,64929120,604258218,311435167,376364287,980622505,292057665,668421952,649044450,941102115,609524060,258568503,199670611,809194671,67763167,267433778,76628442,144391609,411825387,488453829,632845438,44670818,533124647,165970078,210640896,743765543,909735621,120376510,864142053,773877667,894254177,758396223,532273883,426528053,184924269,717198152,143726198,328650467,45848612,189574810,518225277,564073889,753648699,271873969,835947858,589596550,861470519,697418370,287014913,148485425,845903795,132918701,281404126,127307914,260226615,541630741,668938655,929165270,470796004,139734652,68899915,539695919,679430571,748330486,288026398,967456969,715787448,3813839,971270808,687058249,690872088,662142889,349201131,40073212,702216101,51417225,91490437,793706538,845123763,936614200,730320731,575444487,512058680,242379404,817823891,329882564,572261968,390085852,719968416,292230377,682316229,402284638,694515015,376831237,779115875,473630883,850462120,629577988,103208864,953670984,583248965,686457829,640128806,223377764,909835593,549964392,773342156,683177742,233142127,6484276,689662018,922804145,929288421,618950432,541754570,471042984,89993409,631747979,102790956,192784365,824532344,927323300,120107658,944640002,871963295,992070953,936710948,808674236,800745182,737456123,546130352,346875527,84331643,630461995,977337522,61669158,692131153,669468668,731137826,423268972,92737633,823875459,247144424,339882057,163757509,410901933,750783990,914541499,325443425,76227408,990768907,316212325,392439733,383208633,699420958,91860684,475069317,174490268,266350952,741420269,915910537,182261482,923681751,839592281,21853756,945535507,785127781,806981537,752517037,537644811,344626341,97143371,634788182,979414523,76557887,711346069,690760585,767318472,478664534,169425112,936743584,415408111,584833223,521576800,936984911,521818127,43394920,980379831,502197951,545592871,525972695,28170639,573763510,99736198,127906837,701670347,801406545,929313382,630983722,432390260,361703635,992687357,425077610,786781245,779468595,204546198,991327443,770796031,975342229,966669665,737465689,712807911,679477569,416943251,129751155,809228724,226171968,355923123,165151840,391323808,747246931,912398771,303722572,50969496,963368267,267090832,318060328,281428588,548519420,866579748,148008329,696527749,563107490,711115819,407643561,970751051,681866863,89510417,60261461,742128324,831638741,891900202,634028519,465667253,357567448,991595967,457263213,814830661,806426621,263689827,78520481,884947102,148636922,227157403,112104498,260741420,487898823,600003321,860744741,348643557,948646878,809391612,158035162,106682033,916073645,74108800,180790833,96864471,170973271,351764104,448628575,619601846,971365950,419994518,39596357,10962300,430956818,470553175,481515475,912472293,383025461,864540936,777013222,160038676,24579605,801592827,961631503,986211108,787803928,749435424,735646525,523450446,272885863,8532381,531982827,804868690,813401071,345383891,150252574,963653645,309037529,45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        System.out.println(ans[s]);

//        dp = new long[2000+1][2000+1];
//
//        StringBuilder sb = new StringBuilder();
//        for (int k = 1; k <= s; k++) {
//
//            long ans = 0;
//            int tmp = k / 3;
//            for (int i = 1; i <= tmp; i++) {
//
//                ans = (ans + work(k - 2 * i, i)) % MOD;
//            }
//            sb.append(ans+",");
//        }
//        System.out.println(sb.toString());

        //System.out.println(ans);

    }

    private long work(int s,int k) {
        if (dp[s][k] != 0) {
            return dp[s][k];
        }
        if (s == k) {
            return dp[s][k] = 1;
        }
        if (k == 1) {
            return dp[s][k] = 1;
        }
        long ans = 0;
        for (int i = k-1; i <= s-1; i++) {
            ans = (ans + work(i,k-1))%MOD;
        }
        return dp[s][k] = ans;
    }

    public static void main(String[] args) {
        new Main().slove();
    }
}
